Kevin needs to buy some wood to build a box 12 inches long, 8 inches wide, and 10 inches high. How much wood is needed to build a box

Answer: To solve a 3-step equation, you can follow these steps:

Simplify both sides of the equation, if necessary, by combining like terms.

Isolate the variable on one side of the equation.

Use inverse operations to solve for the variable.

Check your solution by substituting it back into the original equation.

Example:

Solve for x: 2x + 5 = 11

Subtract 5 from both sides of the equation: 2x = 6

Divide both sides of the equation by 2: x = 3

Check your solution by substituting x = 3 back into the original equation: 2(3) + 5 = 11

The solution is x = 3.

It's important to note that a 3-step equation is not a specific term, it just means an equation that can be solved in 3 steps. It can be a linear equation or quadratic equation or any other type of equation.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

welcome

Answer: Shed 1: 291,600 units^3. Shed 2: 130,000 units^3. Shed 3: 93,312 units^3. Shed 4: 2,160 units^3

Step-by-step explanation:

15 times 9 times 2,160 = 291,600

10 times 10 times 1300 = 130,000

12 times 9 times 864 = 93,312

15 times 12 times 12 =2,160

Answer:A

Step-by-step explanation:

Answer:

y / 4 + 6 = 2

Step-by-step explanation:

Slope and a point that is not an intercept is the information about the graph of the relationship is given.

The rate of painting is 8 m²/h.

28 square meters of the room are still left to paint after three hours. Let y represent the area in square meters that needs painting after x hours. We require a corresponding (x,y) pair in order to describe a point on a graph. In our situation, we require data on the rate of change in the correlation between the area still needing painting and the time after business hours. Hiro can paint eight square meters per hour. Thus, the equation Y = 8x, or the associated slope, is 8. (1)

By entering the number Y = 28 square meters into the previous formula 28 = 8X

=> X = 7/2

It is not an intercept but the point (7/2, 28).

Alternatively put, the location that is not the intersection with the slope

Your question is incomplete but most probably your full question was

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint. Let y represent the area (in square meters) left to paint after x hours.

Which of the following information about the graph of the relationship is given?

a)Slope and x-intercept

b) Slope and y-intercept

c)X-intercept and y-intercept

d) Y-intercept and a point that is not an intercept

e)Two points that are not intercepts

f)Slope and a point that is not an intercept

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The formula for calculating the anticipated value of y, known as the "fitted value," is y I = b 0 + b 1 x i.

Determine the graph's slope and a point first. Write a linear equation in slope-intercept form (y = mx + b) once this is finished.

Rewrite the equation using the supplied point (x, y) and slope (m), inserting the correct values for x, y, and m.

To find the y-intercept using this information, calculate the equation for b.

Find the two points in a graph or table that are displayed.

Take note of each point's coordinates (x, y) first. Find the rise and run to determine the slope using this information.

Y-coordinate difference divided by the.

Hence, The formula for calculating the anticipated value of y, known as the "fitted value," is y I = b 0 + b 1 x i.

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We can write a function in terms of 'a' for the balance of Dani's savings account if she doesn't notice the monthly fee as:

f(a) = 200 - 5a

where 'a' represents the number of months that have passed since Dani turned 18 and the bank began charging her the monthly fee.

So, f(0) = 200 represents the initial balance in Dani's savings account when she turned 18.

f(1) = 200 - 5(1) = 195 represents the balance in Dani's savings account after 1 month.

f(2) = 200 - 5(2) = 190 represents the balance in Dani's savings account after 2 months and so on.

Therefore, the function f(a) = 200 - 5a represents the balance of Dani's savings account after 'a' number of months if she doesn't notice the monthly fee.

Let me know if this helps! :)

Answer:

5, 0, Undefined.

Step-by-step explanation:

Answer:

1) 5

2) 0

3) Undefined

Slope is a measure of steepness of a line. In Algebra 1, It is how much the y-value changes when the x-value increases by 1.

y-intercept is the y-value of the line when it intersects with the y-axis, or the y-value of the line when the x-value of the line is 0.

This form is the most common form for expressing linear equations for graphing and is used when the slope and y-intercept is known.

Form

y = mx + b

Lets break it down. y and x stay as a variable when graphing is it only substituted for a constant when solving for x-intercept, etc.

m is the slope.

b is the y-intercept.

Q1

y = mx + b

y = 5x

Because 5 is the m value, the slope is 5.

Q2

y = mx + b

y = 3

Think about it. What cancels out any real value? Multiplying it by 0. If there is no coefficient behind the x, it means the slope is 0.

y = 0x + 3 = y = 3

Because 0 is the m value, the slope is 0.

When y is equal to a constant after solving, it is a horizontal line with the y-intercept of the constant it is equal to (in this case 3).

Q3

y = mx + b

x = 5

The slope is undefined.

When x is equal to a constant after solving, it is a straight vertical line with the x-intercept of the constant it is equal to (in this case 5). The slope is always undefined.

Based on the box plot concept and the available options, the box plot that correctly represents the data is option A.

Box plot is a term that is used to describe the box and whisker plot which shows the five-number summary of a set of data.

Generally, this five-number summary is the minimum, first quartile, median, third quartile, and maximum.

Make a box plot of the data.

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Recall that Q1 = 54, the median is 58, and Q3 = 62

Also, the min is 52 and the max is 64.

Therefore, when we draw the box from Q1 to Q3 and from Q1 to the min, and from Q3 to the max, we have option A as the answer.

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A constant of dilation is a number used to change the size of a figure while preserving its shape. It is also known as a scale factor.

The constant of dilation is used in a dilation transformation, a type of transformation that changes the size of a figure without changing its shape or orientation.

The constant of dilation is typically represented by the letter "k" and is a number greater than 0. If the constant of dilation is greater than 1, the dilation will increase the size of the figure. If the constant of dilation is less than 1, the dilation will reduce the size of the figure. And if the constant of dilation is equal to 1, the dilation will not change the size of the figure.

It's important to note that the constant of dilation is a factor that applies to all the points of the figure, and it's the same for all the points of a figure during a dilation transformation.

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The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees. The correct option is C.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

The measures of two supplementary angles total 180 degrees.

The measure of angle y is 65 degrees less than the measure of angle x.

Let the measure of angle y is m∠y.

And the angle measure of x is m∠x.

So,

m∠x + m∠y = 180°   {equation 1}

And according to the question,

m∠y = m∠x - 65°        {equation 2}

Substituting the value from equation 2 to equation 1,

2m∠x = 180 + 65

m∠x = 245/2

m∠x = 122.5°

And m∠y = 122.5 - 65

m∠y = 57.5°

Therefore, the angle measures are m∠x = 122.5° and m∠y = 57.5°.

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The future value of Joshua's account in 2 years, given the deposits and the interest, is $ 2, 108.21

The fact that the amount that Joshua Levine deposits is a constant amount of $ 250, makes it an annuity. It is ordinary because it is deposited at the end of the period.

To find the value of this annuity, first find the periodic interest :

= 6 % / 4 quarters per year

= 1 . 5 %

Then find the number of periods :

= 2 years x 4

= 8 quarters

The future value is:

= Annuity x Future value interest factor, 8 periods, 1. 5%

= 250 x 8.4328391063537

= $ 2, 108.21

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If a and b are positive integers such that a^3b = x and a^b = y then x/y² is solved to be y

The problem is solved by simplifying and substitution

Simplifying the expression a^3b = x and a^b = y will result to

a^(b3) = x and a^b = y

y^3 = x

substituting y^3 = x into the equation x/y²

= x / y²

= y³ / y²

apply power rule

= y³ ⁻ ²

= y

hence the solution of the equation x/y² while considering that a^3b = x and a^b = y will result to a solution of y

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In the three column table the value of B is 20, and option I is the correct answer.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

From the information given, it's important to calculate the constant of proportionality. In this case, for C, we have 28 part and 40 whole, the constant will be:

Constant = Whole / Part

= 40/28

= 1.428

Therefore, the value of B will be:

Whole = Part × Constant

Whole = 14 × 1.428

B = 20

Hence in the three column table the value of B is 20, and option I is the correct answer.

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Answer:B=20

Step-by-step explanation:

i did the math

The value of car to the nearest cent, after 16 years will  be $882.

The preceding table displays the increase in value of a car that cost $16,100 over time, where x represents the number of years and y represents the car's cash value.

The formula for the exponential regression will be as follows:

y = A₀e∧(kx)

Where k is a constant and A₀ is the exponential regression coefficient.

So value of y would be $16,100 if x = 0. Next, we have

16,100  = A₀ e∧(k*0)

A₀ = 16,100

The equation will then be:

y = 16,100e∧(kx)

Hence value of y would be $13,431 if x = 1. Next, we have:

13,431 = 16,100e∧(k*1)

e∧(k) = 0.834

Considering all sides, we then have:

ln e∧(k) = ln 0.834

k = -0.181

The equation will then be:

y = 16,100e∧(-0.181*x)

For 16 years,

y = 16,100e∧(-0.181*16)

y = 16100*0.054

After that, a car's value will be:

y = 882

Thus, the value of the car to the nearest cent, after 16 years will  be $882.

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Hippocrates of Chios was the first to show that the area of a disk

Who discovered area formula?

In the 5th century BCE, Hippocrates of Chios was the first to show that the area of a disk (the region enclosed by a circle) is proportional to the square of its diameter, as part of his quadrature of the lune of Hippocrates, but did not identify the constant of proportionality.

A large part of the field of operations research is the use of statistical equations to solve problems in business or military operations.

Music, linguistics, and philosophy all use mathematical models (for example, intensively in analytic philosophy).

A model is, for example, the method for the area of a circle, πr2.

Radius of a circle is the distance from the center of the circle to any point on it's circumference. It is usually denoted by 'R' or 'r'. This quantity has importance in almost all circle-related formulas. The area and circumference of a circle are also measured in terms of radius.

Α= pi r^2

Divide each side by pi

A / pi = r^2

Take the square root of each side

sqrt( A / pi ) = sqrt(r^2)

sqrt( A / pi ) =r

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The formula for the given T-chart is f(x)=x-6. T-shaped graphic organiser used to divide information into two categories. A T chart can be used to contrast two ideas, list benefits and drawbacks, separate facts from opinions, and more.

T Charts are frequently used to compare facts and opinions, problems and solutions, and pros and cons.

A timeline is a diagram that shows the progression of the use of a group of resources. A timeline is frequently a sensible visualisation option if you're managing a software project and want to show who is doing what and when, or if you're planning a conference and need to schedule meeting rooms.

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A heptagon is a seven-sided polygon. It is also sometimes called a septagon, though this usage mixes a Latin prefix sept- (derived from septua-, meaning "seven")

Polygon Formula

The important polygon formulas are: The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n.

with the Greek suffix -gon (from gonia, meaning "angle"), and is therefore not recommended

This polygon has 7 sides

heptagon is a seven sided polygon

decagon is a ten sided polygon

dodecagon is a 12 sided polygon

hexagon is a six sided polygon

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Answer:

simone  spends 7 hours a week

Step-by-step explanation:

Simone practices 1 hour every day

a week has 7 days, so

we multiply 7 x 1 = 7 hours per week

7= days of the week

1= hours simone practices every day

The calculations 4(2/9) is 8/9 1, 2(2/5) is 4/5 1, and 8(2/5) is 16/5 > 1, 6×(1/5) is 6/5 > 1, 5×(1/4) is 5/4 > 1.

If q is less than 0, a fraction is expressed as p/q. A proper fraction is one that follows the rules, and an improper fraction is another. The numerator in proper fractions is less than the denominator, whereas in improper fractions, the opposite is true.

We are aware that when multiplying fractions, we can eliminate terms from the numerator and denominator of other fractions to make the problem simpler, and we can also multiply numerators and denominators together.

∴ 4×(1/4) = 1.

4×(2/9) = 8/9 < 1.

2×(2/5) = 4/5 < 1.

8×(2/5) = 16/5 > 1.

6×(1/5) = 6/5 > 1.

5×(1/4) = 5/4 > 1.

The calculations 4(2/9) = 8/9 1, 2(2/5) = 4/5 1, and 8(2/5) = 16/5 > 1, 6×(1/5) = 6/5 > 1, 5×(1/4) = 5/4 > 1.      

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Fraction 4(2/9) is 8/9 < 1> 1, 6×(1/5) is 6/5 > 1, 5×(1/4) is 5/4 > 1.

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The solution is Option A.

The proportion is given by 21 : 35 : : 24 : 40

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

a)

The four set of numbers are = { 21 , 35 , 24 , 40 }

Now , the ratio of 21/35 = 3/5

The ratio of 24 / 40 = 3/5

Therefore, the proportion is expressed as

A = 3 : 5

And , the proportion equation is

21 : 35 : : 24 : 40

Hence , the proportion is 21 : 35 : : 24 : 40

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Becuase a pig and a chicken each have one head each and we know there are 80 heads, we know that: C + P = 80. When you combine these equations, we find that there are 32 Pigs and 48 Chickens.

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The area of a triangle with the base of 7 cm and the height of 12 cm is 42 square cm.

In the given question we have to find the area of a triangle with the base of 7 cm and the height of 12 cm.

The entire area bounded by a triangle's three sides is referred to as the triangle's area. In essence, it equals half of the base times height, or A = 1/2bh. So, in order to calculate the area of a triangular polygon, we need to know its base (b) and height (h).

Area of Triangle = 1/2 ×b×h

Area of Triangle = 1/2 ×7×12

Area of Triangle = 7×6

Area of Triangle = 42 square cm

Hence, the area of a triangle with the base of 7 cm and the height of 12 cm is 42 square cm.

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The additive inverse of 3/-7 is -3/7. This means that when 3/-7 is added to its additive inverse, the result is 0.

The additive inverse of any number is the number with the same absolute value but with the opposite sign. Therefore, the additive inverse of 3/-7 is -3/7. When two numbers are added together, the signs of the numbers can affect the result. For example, when two negative numbers are added, the result is a negative number. When two positive numbers are added, the result is a positive number. When one number is positive and one number is negative, the result depends on the relative size of the two numbers. For example, if the positive number is larger than the negative number, the result is a positive number. However, if the negative number is larger than the positive number, the result is a negative number. In the case of 3/-7, the negative number is larger than the positive number, so the result of adding 3/-7 to its additive inverse is 0.

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The 10 examples of substitutes good and services are :

Similar products that a client may employ for the same purpose are substitute goods. If the product they prefer is offered, your customers might buy it, but they might also look at alternatives if the price, the product's availability, or its quality changes. The demand for an item is frequently affected by these changes as well.

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The equation [tex]7x-2x^{2} =0[/tex] is said to be a quadratic equation as the highest degree is 2.

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no other term which is raised to a higher power than 2.

The given equation is [tex]7x-2x^{2} =0[/tex].

As we know that, a quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.

On comparing equation [tex]7x-2x^{2} =0[/tex] with standard form of quadratic equation [tex]ax^{2} +bx+c=0[/tex], we get, a = -2, b = 7,c = 0.

Thus, the equation [tex]7x-2x^{2} =0[/tex] is a quadratic equation.

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