“what is the slope of the line that passes through the points (5,8) and (11,5)? write the answer in simplest form “ please help with that

Answers

Answer 1

As per the given points in the question, the slope in the simplest form will be equal to 0

What is the slope of the line?

Using two of the points on the line you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise and the horizontal change is called the run. The slope equals the rise divided by the run.

Here the given points are (−5,8) and (−11,8)

Hence the required slope of the line is

=   8     -       8

     11 -  [ - 5 ]

=      0      

 - 11 + 5

=        0    

        - 6

= 0

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Related Questions

Work out the size angle BCD

Answers

By using the fact that the interior angles should add up to 360°, we will see that:

C = 142°

How to find the missing angle?

We know that for any polygon of N sides, the sum of the interior angles is equal to:

S = (N - 2)*180°

In this case, the polygon has 4 sides, then:

S = (4 -2)*180° = 360°

Then we can write the equation:

A + B + C + D = 360°

Replacing the known angles we get:

68° + 43° + C + 107° = 360°

And now we can solve this for C.

C = 360° - 107° - 43° - 68°

C = 142°

That is the measure of the angle BCD.

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An equilateral triangle $ABC$ shares a common side $BC$ with a square $BCDE,$ as pictured. What is the number of degrees in $\angle DAE$ (not pictured)

Answers

30° =  angle DAE

                                     

Step-by-step explanation:                      

We have
ACD with angle ACD = 150°, and because CD = CA, angle CAD and ADC are equal, so angle CAD = [180 -150] / 2 = 30/2 = 15°.

 if we draw AE in ABE using the same process, angle EAB = 15°,
so CAB = 60° = angle =CAD + angle DAE + angle EAB

60   =  15  + angle DAE + 15

60  = 30 + angle DAE
30° =  angle DAE  

Triangle with an equilateral shape. An equilateral triangle is a triangle with all of its sides being the same length. An equilateral triangle, for example, has three sides equal to 5cm. Because the three sides are equal, the three angles opposite the equal sides are equal in size.  

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Swimming Pool On a certain hot summers day, 498 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adult. The receipts for admission totaled $920.00. How many children and how many adults swam at the public pool that day?

Answers

If Swimming Pool On a certain hot summers day, 498 people used the public swimming pool. The number of children is 325 and the number of adult is 173.

How to find the number of children and adult  that swam?

Children = x

Adults = y

x + y = 498  Equation .....1

1.50x + 2.50y = 920  Equation ...2

Multiply (1) by 2.50

2.50x + 2.50y = 1,245  Equation  Equation ....3

1.50x + 2.50y = 920  Equation ...2

Subtract (2) from (3)

1x = 325

x = 325/1

x = 325 (Children)

Substitute x = 325 in (1)

x + y = 498

325 + y = 498

y = 498 - 325

y = 173 (Adult)

Therefore 325 children and 173 adults swam at the pool.

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What must be added to x³ 3x² 12x 19?

Answers

The expression x3 3x2 12x 19 is a polynomial expression in standard form.

To add 24 to this expression, we need to add 24 to each of the terms. This means that the answer is x3 + 3x2 + 12x + 43. To check our work, we can use theFOIL  method to expand the expression and make sure that the coefficients of each of the terms are correct. The FOIL method stands for First, Outer, Inner, Last. The first and last terms are the x3 and 43, the outer terms are 3x2 and 12x, and the inner terms are 3x2 and 12x. When we multiply these terms, we get x3 + 3x2 + 12x + 43, which is our final answer.

Calculation

x3 + 3x2 + 12x + (19 + 24)

= x3 + 3x2 + 12x + 43

The expression x3 3x2 12x 19 is a polynomial expression in standard form.

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How do you write log base 10 in Word?

Answers

Log<sub>10</sub> is an expression used to represent logarithmic functions with a base of 10. To write log<sub>10</sub> in Microsoft Word, you can use the “Insert Equation” feature.

To access this, select Insert on the top menu bar, followed by Equation. In the new window that appears, select the Greek and Math Symbols tab. In this tab you will find the log<sub>10</sub> symbol that looks like an upside-down “y”. You can then click on the symbol and it will be added to your document.

If you need to type out the equation, you can type “log<sub>10</sub>” and it will automatically be converted to the log<sub>10</sub> symbol.  You can also use the shortcut CTRL+Alt+L to insert the log<sub>10</sub> symbol directly into your document.

If you are using a Mac, you can use the shortcut Command+Shift+L.  The log<sub>10</sub> symbol is commonly used in mathematics and science, particularly in algebra and calculus. It is used to represent the logarithm of a particular number to the base 10.

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In convex hexagon $ABCDEF$, all six sides are congruent, $\angle A$ and $\angle D$ are right angles, and $\angle B$, $\angle C$, $\angle E$, and $\angle F$ are congruent. The area of the hexagonal region is $2116(\sqrt2 1)$. Find $AB$.

Answers

The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

What is meant by convex hexagon?

All of the inner angles and all of the vertices must be smaller than 180 degrees for a convex hexagon. There are both regular and irregular convex hexagons.

There are no angles inside a convex hexagon. More specifically, no internal angle may exceed 180 degrees. Any internal angle that exceeds 180 degrees is concave.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

x = 46

Therefore, the value of AB exists 0.46.

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The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

What is meant by convex hexagon?

A convex hexagon requires that all of the inner angles and all of the vertices be smaller than 180 degrees. Convex hexagons come in both regular and irregular varieties.

The interior of a convex hexagon is flat. No internal angle may be greater than 180 degrees, to be more precise. Concavity is defined as an interior angle greater than 180 degrees.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

By taking root both sides,

x = 46

Therefore, the value of AB exists 0.46.

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a biologist is studying the growth of a particular species of algae. she writes the following equation to show the radius of the algae, f(d), in mm, after d days: f(d)

Answers

The y intercept of the graph of the function f(d) indicates f(d) = 11 and the average rate of change of the function f(d) from d = 2 to d = 7 is 0.114, making 6.97 a reasonable domain to depict the growth function.

What is meant by equation ?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is a mathematical statement proving the equality of two numbers or values.

Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true. An equals symbol ("="), separating two expressions, is used to represent an equation.

Part A:

11.79 = 11(1.01[tex])^d[/tex]

substitute the values in the above equation, we get

[tex]$$& (1.01)^d[/tex] = 11.79 / 11

simplifying the equation, we get

[tex]$$& (1.01)^d[/tex] = 1.071818

d = log 1.071818 / log 1.01

The value of d = 6.97

Part B:

y-intercept is obtained when domain = 0

[tex]$& d=0 \Rightarrow f(0)=11(1.01)^0=11 \times 1=11 \\[/tex]

f(d) = 11

Part C:

Average rate of change,

[tex]$\Delta \mathrm{f} / \Delta \mathrm{d} & =(\mathrm{f}(7)-\mathrm{f}(2)) /(7-2) \\[/tex]

[tex]$& =\left(11(1.01)^7-11(1.01)^2\right) / 5 \\[/tex]

= 0.57 / 5 = 0.114

The y intercept of the graph of the function f(d) indicates f(d)=11 and the average rate of change of the function f(d) from d=2 to d=7 is 0.114, making 6.97 a reasonable domain to depict the growth function.

The complete question is:

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 11(1.01)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent?

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6.97 is an appropriate domain in which to represent the growth function because the y intercept of the graph of the function f(d) suggests that f(d) = 11 and the average rate of change of the function f(d) from d = 2 to d = 7 is 0.114 as studied by biologist.

What do you understand by equation ?

A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra.

A mathematical expression with two equal sides and an equal sign in the middle is called an equation. A mathematical statement establishing the equality of two numbers or values is called an equation.

Either identities or conditional equations are categories for equations. Each value of the variables corresponds to a specific identity. A conditional equation can only be true for a certain range of variable values. An equation is represented by two expressions being separated by the equals sign ("=").

Part A:

11.79 = 11(1.01

substitute the values in the above equation, we get

[tex](1.01)^{d}[/tex] = 11.79 / 11

simplifying the equation, we get

  (1.01)^{0} = 1.071818

d = log 1.071818 / log 1.01

The value of d = 6.97

Part B:

y-intercept is obtained when domain = 0

d = 0

f(0) = 11[tex](1.01^{0} )[/tex] = 11 * 1 = 11

f(d) = 11

Part C:

Average rate of change,

Δf / Δd  = (f(7) - f(2)) / 7-2

= 0.57 / 5 = 0.114

The y intercept of the graph of the function f(d) indicates f(d)=11 and the average rate of change of the function f(d) from d=2 to d=7 is 0.114, making 6.97 a reasonable domain to depict the growth function.

The complete question is:

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 11(1.01)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent?

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Is 2x 3 5 is a linear equation?

Answers

yes, 2x + 3 = 5 is a linear equation.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If a linear equation contains two variables, it is referred to as a linear equation in two variables, and so on.

Non-linear equations are those that do not produce a straight line. It has a changeable slope value and resembles a graphed curve.

Given that,

2x + 3 = 5

or, 2x = 5 - 3

or, 2x = 2

or, x = 2/2

x = 1

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What kind of triangle has sides 4 4 8?

Answers

Answer:

No triangle

Step-by-step explanation:

Since [tex]4+4=8[/tex], the side lengths fail to satisfy the triangle inequality theorem. Thus, no such triangle exists.

Identify the two x values?

Answers

When the points are (4, 2) and (6, 5), the slope is 3/2. The slope of a line determines its direction and degree of steepness.

what is slope ?

A line's steepness and direction are determined by the slope of the line. The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. While there has been no net change in the x coordinate, there has been no net change in the y coordinate. hence, the shift in the y coordinate in relation to the shift in the x coordinate. The slope of a line is the rise to run ratio, or the rise divided by the run. It gives information about a line's slope in the coordinate plane. Any two clearly separated points on a line can be used to calculate the slope of any line.

given

slope = [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

points are ( 4, 2 ) and ( 6, 5)

[tex]\frac{5 - 2}{6 - 4} \\= \frac{3}{2}[/tex]

hence the slope is 3 / 2 .

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Find the measure of MN

Answers

In the given the diagram of a circle, the measure of angle MON is 60°.

What is a circle?

A circle is a two-dimensional shape created by a collection of points that are spaced uniformly or uniformly apart from a fixed point (centre) on the plane. The radius of a circle is the fixed distance between each point and the fixed point, which together make up the circle's origin or centre.

All angles add upto 360°

100 + 140 + ∠MOP =  360

∠MOP = 120°

Draw an imaginary straight line extending MO, making MOM'

∠QOM' = 180 - 140

            = 40 = ∠MOQ'  (vertically opposite)

Draw an imaginary straight line extending NO, making NON'

Draw an imaginary straight line extending PO, making POP'

P'OQ = 180 - 100

         = 80 = ∠Q'OP   (vertically opposite)

Draw an imaginary straight line extending QO, making QOQ'

P'OM = 60° = M'OP  (vertically opposite)

Now, ∠N'OQ = 180 - 60 - 2(40)

                     = 20°

Then, ∠P'ON' = 80 - 20

                     = 60

And ∠MON = 40 + 20

                    = 60°

Hence, In the given the diagram of a circle, the measure of angle MON is 60°.

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Joanne is campaigning for class president and plans to distribute some campaign materials. 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?

Answers

The greatest number of classrooms is 4, Joanne can distribute materials

5 flyers and 4 buttons.

What is the greatest common factor?

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor or GCF.

Given:

Joanne is campaigning for class president and plans to distribute some campaign materials.

20 flyers and 16 buttons.

She wants each classroom to receive an identical set of campaign materials, without having any materials left over.

In order to find the greatest number of classrooms, Joanne can distribute materials:

We have,

the number of flyers = 20.

Number of buttons = 16

We need to find the GCF.

GCF of 16 - 1,2,4,8,16

GCF of 20-1,2,4,5,10,20

Clearly, 4 is the GCF.

Therefore, total number of classrooms = 4

Number of flyers distributed to each classroom

= Total number of flyers / Total number of classroom

= 20/4

= 5

Number of buttons distributed to each classroom

= Total number of buttons/ Total number of classrooms

= 16/4

= 4

Therefore, the Joanne can distribute 5 flyers and 4 buttons to each classroom.

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In Mrs. Trainer's math class, Siobhan's first five math quiz scores are 76, 96, 81, 69, and 41. Siobhan takes the sixth math quiz and scores an 85. How will the mean change if the sixth score is added to the list?

Answers

Answer:

  the median will go up 2.5 points from 76 to 78.5

Step-by-step explanation:

You want to know the effect on the median of adding 85 to the list of scores: 76, 96, 81, 69, 41.

Median

The median is the middle value when the list is sorted into order. The ordered list is ...

  41, 69, 76, 81, 96

The median is 76.

New Median

When 85 is added to the list, the sorted list becomes ...

  41, 69, 76, 81, 85, 96

There are two middle scores, so the median is their average:

  (76+81)/2 = 78.5

The median increases 2.5 points from 76 to 78.5 when the score is added.

Two has 4 2/3 pitches of juice. One glass holds 1/6 of a pitcher. How many glasses can teo fill?

Answers

Teo can fill 28 glasses in  4 2/3 pitches of juice.

Teo  has 4 2/3 pitches of juice.

First we write the improper fraction (mixed fraction) as a proper fraction.

4 2/3

= [(4 × 3) + 2] / 3

= (12 + 2) / 3

= 14/3

One glass holds 1/6 of a pitcher.

Let m number of glasses hold 14/3 pitches of juice.

By unitary method,

m × (1/6) =  14/3

To find the value of m we need to divide fractions.

m = (14/3) / (1/6)

m = (14/3) × (6/1)

m = 14 × 2

m = 28

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The lowest ratio for 54 m in 2.5 hours.

Answers

The lowest ratio for 54 m in 2.5 hours will be:

= 54 / 2.5 is 21.6 : 1.

How to illustrate the ratio?

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

This simply indicates that you're dividing the variable A by B. Let USA say for instance, the ratio will be 3/10 if A is 5

3 and B is 10.

In this case, the lowest ratio for 54 m in 2.5 hours will be:

= 54 / 2.5.

= 21.6 / 1

= 21.6:1

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Which expression can be used to represent the
volume of this prism?
6 × 11 units³
78°F
Sunny
O 48 x 3 units³
O 14 x 3 units³
O 8x9 units³
H
а
1
i
8 units
1
1
2
3
3 units
6 units
4
5

Answers

Volume of prism is given by V= base area × height cubic unit. The expression 48 × 3  unit³ can be used to represent the volume of the prism.

What is prism?

Prism is a three-dimensional geometrical figure having identical two ends. A prism has flat faces, similar bases and equal cross sections. A prism is normally bounded by plane faces.

What is volume of prism?

Volume of prism is calculated by the product of base area and height of the prism. At first, we need to calculate the base area and then height is multiplied with it.

Prisms are different types such as triangular prism, rectangular prism, pentagonal prism and hexagonal prism so depending on the figure area for the base is different. As a result, different shaped prism has different formula for volume calculation.

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Describe the distribution of the ages of the Best Actor Oscar winners [LINK]:
A) What is the BEST description of the SHAPE?
- The distribution is not skewed
- The distribution is skewed left.
- The distribution is skewed right.

Answers

The correct option is option (c)-"The distribution is skewed right."

The distribution of the ages of the Best Actor Oscar winners is slightly skewed to the right.

A histogram of the ages of the Best Actor Oscar winners shows that the majority of the ages are centered around the mean age, with a few ages on the higher end that extend the right tail of the distribution. This creates a small skewness to the right.

The distribution seems to be centered at around 42-43.

The age distribution ranges from about 30 to about 75, without taking into account an outlier.

It's worth noting that the distribution is not extremely skewed, and the majority of the ages are still grouped around the center of the distribution.

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How do you tell if something is a difference of squares?

Answers

A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.

what is perfect square ?

Perfect squares result from squaring an integer. One such example is the number 81, which is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since it can be generated by squaring the number 12, which results in 12. 169 is a perfect square since it can be squared to produce the number 13. mathematics-specific language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the result is referred to as a square number, a perfect square, or simply "a square". Accordingly, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.

If a binomial is found to be a difference of squares, it is factored into two binomials. the first being the first term's square root less the second term's square root.

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What does each of these represent in this situation (0,0),(1,55), and (5,275

Answers

The coordinates (0,0), (1,55), and (5,275) represent points on a two-dimensional graph. The first coordinate (0,0) represents the origin, or the point where the x-axis and y-axis intersect. The second coordinate (1,55) represents a point one unit along the x-axis and 55 units along the y-axis. The third coordinate (5,275) represents a point five units along the x-axis and 275 units along the y-axis.

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A recipe for tropical punch calls for 222 liters of pineapple juice and 333 liters of orange juice. Jo creates a drink by mixing 333 liters of pineapple juice with 444 liters of orange juice. How does Jo's drink compare to the tropical punch recipe

Answers

Amount of pineapple juice is more in Jo's drink and amount of Orange juice is less in Jo's drink as compare than the tropical punch recipe because these are not in that ratio as in the tropical punch recipe.

What is the ratio?

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. Here the dividend is called the 'antecedent' and the divisor is called the 'consequent'.

The Number of cups of pineapple juice = 222 liters

The Number of cups of orange juice = 333 liters

Thus ,

Total number of cub of juice = 222+333

                                               = 555 cups

In Jo's drink

The Number of cups of pineapple juice = 333 liters

The Number of cups of orange juice = 444 liters

Thus Total number of cub of juice = 333+444

                                                        = 777 cups.

The ratio of amount of pineapple juice and amount of Orange juice is 2:3 in the tropical punch recipe

Whereas the ratio of amount of pineapple juice and amount of Orange juice is 3:4 in Jo's drink

Thus we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo's drink.

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Solve the equation 1/6(3x − 6) = 1/8(4x + 8). Which statement is true?

Answers

Answer:

Step-by-step explanation: first we have to solve the bracket both side of equal to.

1/6(3x-6)=1/8(4x+)

x/2-1 = x/2+1

-2

Describe a sequence of transformation that maps DOG onto CAT

Answers

Sequence of transformation is first moving 5 unit in y axis than mirror image  with y axis.

What would you say about the order of the transformations?

A particular order of transformational events is referred to as a transformational sequence. This indicates that more than one transformation is handled by a series of transformations, and the order in which they happen is important.

What kind of figure can a series of transformations map onto itself?

The line of reflection must pass through the centre point for the figure to map onto itself. The sides of the figure are cut by two lines of reflection. The vertices of the figure are intersected by two lines of reflection. As a result, there are four potential lines of reflection that pass through the center.

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in 2016, humans produced 29 billion tonnes of carbon dioxide. this is set to grow by around 40% by the year 2035. how many tonnes of carbon dioxide will be produced by humans in 2035? give your answer in standard form​


will give the answers brainliest

Answers

Answer:

29000000000*140% = 40600000000

=40.6 billion

Step-by-step explanation:

right!!!

Which ordered pairs are the answer

Answers

Answer:

(4,14) (8,28))

Step-by-step explanation:

3.5(4) = 14

3.5(8) = 28

what coordinates apply to y>2+9x

Answers

The coordinates that can be applied to the equation y > 2 + 9x is the cartesian coordinate system

What is cartesian coordinate system?

A system that identifies your precise location on a graph is the Cartesian coordinate system.  

This system can be used to graph a collection of points that will give your equations' solutions, which makes it handy. Each axis will have its own variable in the equations that are employed with this system.

The x-axis, a horizontal axis, and the y-axis, a vertical axis, are the two axes that make up the Cartesian coordinate system.

The variables x and y will be present in equations for lines in this system.

Hence the cartesian coordinate system is applicable for the equation given as y > 2 + 9x

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Index form of 2m⁴-3m²+7

Answers

Answer:

  2m⁴ +0m³ -3m² +0m +7

Step-by-step explanation:

You want the index form of 2m⁴-3m²+7.

Index form

The index form of a polynomial has terms with all indices present in decreasing order, using 0 coefficients where necessary.

The given polynomial is missing indices 3 and 1, so we add those with coefficients of 0:

  2m⁴ +0m³ -3m² +0m +7

Maggie made the following quilt from 64 square pieces of fabric.

A square array of eight squares wide by eight squares long. The length of the total square is seven and fifty-two hundredths feet.

What is the side length of each square piece of fabric? Enter your answer in the box.
11.75
feet

Answers

Answer:

11.75

Step-by-step explanation:

The quilt consists of a square array of 8 x 8 = <<8*8=64>>64 square pieces of fabric.

Since the length of the total quilt is 7.52 feet, the side length of each square piece of fabric is 7.52 / 8 = <<752/8=0.94>>0.94 feet.

However, since you are asked to enter your answer in the box in feet, you should express 0.94 feet as a decimal to the nearest hundredth. The nearest hundredth of a foot to 0.94 feet is 0.95 feet. Therefore, the side length of each square piece of fabric is approximately 0.95 feet, or approximately 11.75 inches.

So the answer is 11.75 feet.

Jim received a gift card of $70 for a pizza restaurant the restaurant charges $20 for pizza Ciara received a gift card of $60 for different pizza restaurant the restaurant charges $15 per pizza write an equation to show when the two cards would have the same amount of money left on them

Answers

Answer: 70-20x = 60-15x, where x is the number of pizzas purchased.

Step-by-step explanation:

(TLDR, the solution to the given equation is that the cards will have the same amount of money left on them if both jim and clara buy two pizzas each. feel free read my explanation on how to write equations like this in the future, should you need it.)

so, we know that since jim and clara received $70 and $60 gift cards (respectively), these numbers are called constants, because their original values do not depend on anything (they are given). while these numbers may decrease with the amount of pizzas bought, their original values are fixed.

now, the price for one pizza at jim's pizza restaurant is $20, right? so if you buy 2 pizzas, it'll be $40, 3 pizzas are $60, and so on. but we can actually represent the price of the pizzas as 20x (where x is the number of purchased pizzas, and 20 is the price of one pizza), and this expression works for any number of pizzas you buy. you can also apply this to clara's restaurant, as the total price of the number of pizzas she buys is represented by 15x.

the words charges and left in this problem tells you that you're going to need to subtract from the total amount of money on the gift cards. using the expressions above, the amount of money jim has left on his card can be expressed as 70 (amount of money on the card) MINUS 20x (number of money spent on however many pizzas were bought (x)). likewise, the amount of money left on clara's card after she buys however many pizzas can be represented as 60-15x. you can then set the equations equal to each other and solve for x, which tells you how many pizzas they each need to buy to have the same number of $$ left on their cards.

70-20x = 60-15x

10=5x

2=x. hope this helped :3

Solve the following problems, please

1) G+7 = 4
2) -5a = 10
3) S-9=10
4) F+15=3
5) -8d = -64
6) A/7 = -4 (divided = /)
7)W-5 =7

Answers

Answer:

1. g=-3

2. a=-2

3. s=19

4. f=-12

5.d=8

6.a=-28

7.w=12

Step-by-step explanation:

1)  take 4-7 to get -3

2)  take 10 divided by -5 to get -2

3) take 10+9 to get 19

4) take 3-15 to get -12

5) take -64 divided by -8 to get 8

6) take -4 times 7 to get -28

7)take 7 plus 5 to get 12

Complete the table with the perimeter for each given side length. Then, write a rule for a function, P, that gives the perimeter of the paper in feet when the side length in feet is l. Use function notation. ​

what does P(11) represent in this situation? What is its value?

Answers

For a roll of paper with dimensions 3 feet cut to any desire length,

a) The value of perimeter when cut to 2.5 feet is 11 feet.

b) The complete table with filled perimeter column is present above . The function notation for perimeter is , P =2(L+ W)

c) P(11) , represents the length of paper cut to 11 feet in this situation. It's value i.e., P(11) = 28 feet .

Perimeter is defined as the sum of all boundary length of any geometry. We have a roll of paper with dimensions 3 feet ( i.e, width) is cut to any length. From, it we conclude that that paper is like quadrilateral shape but not square.

a) when the paper cut in a length of 2.5 feet , so, length (L) = 2.5 feet

The perimeter of quadilateral ( rectangle in this case ) is 2(L+W) so, perimeter

= 2( 2.5 + 3)

= 11.0 feet

b) Now, we have to complete "perimeter coulmn ," in the table and side lengths are provided.

Width (w) = 3 feet

length (l) = 1 feet

perimeter = 2(4) = 8

similarly, side lengths (ft.) perimeter ( ft.)

2.5 11

1 8

2 10

11 28

L 2( L + W)

The functional notation for perimeter is

P = 2(L+W) .

c) P(11) represents the length of paper in feet when the paper is cut at a length of 11 feet . It's value is 28 feet . So, the value of P(11) is 28 feet.

To learn more about perimeter, refer:

https://brainly.com/question/397857

#SPJ4

Complete question:

A roll of paper that is 3 feet wide can be cut to any length.

a. If we cut a length of 2.5 feet, what is the perimeter of the paper?

b. Complete the table with the perimeter for each given side length. Then, write a rule for a function, P, that gives the perimeter of the paper in feet when the side length in feet is L, use a function notation.

c) what does P(11) represent in this situation? What is its value?

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