Therefore , the solution of the problem of linear equation comes out to be the value after substituting is 3.
The definition of a linear equation.A linear equation is one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "linear equation with two variables" because y and x are variables. Bivariate linear equations are two-variable linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept.
Here,
Given : (X-5)-1
Thus,
after substituting the value of x with 9
We get,
=> (X-5) -1
=>(9-5)-1
=> 4 -1
=> 3
Therefore , the solution of the problem of linear equation comes out to be the value after substituting is 3.
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6 m
5 m
3 m
Find the area of this figure. Round your
answer to the nearest hundredth.
Use 3.14 to approximate T.
A = [?] m2
The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. Triangle angles add up to 180 degrees when combined together.
given
Three shapes—a rectangle, a triangle, and a semicircle—make up the figure.
Triangle + rectangle + semicircle together make up the figure's surface area.
Triangle's area is equal to 1/2 * 3 * 5.
Triangle's surface area is 15/2.
Triangle's surface area is 7.5 m3.
Rectangle area equals length times width
Rectangle's area is equal to 6 x 5.
30 m2 is the rectangle's area.
Semicircle area equals πr²/2
Semicircle's area is equal to π(3)²/2
Semicircle's area is equal to 3.14(9)/2.
Semicircle's area is equal to 3.14 x 4.5.
Semicircle's surface area is 14.13 m2.
Area: 30 + 14.13 + 7.5
The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.
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Alpha can produce either 18 oranges or 9 apples an hour, while Beta can produce either 16 oranges or 4 apples an hour. Which of the following terms of trade between apples and oranges would allow both Alpha and Beta to gain by specialization and exchange?
A. 1 orange for 0.2 apples
B. 2 apples for 3 oranges
C. 3 apples for 3 oranges
D. 1 apple for 3 orange
A nation cannot have a comparative advantage in the production of every good. Alpha can produce either 18 oranges or 9 apples an hour, while Beta can produce either 16 oranges or 4 apples an hour. The opportunity cost of producing 1 orange for Alpha and Beta, respectively, are: 0.5 apples; 0.25 apples.
What is proportion?A percentage is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province.
Here,
A country cannot have a competitive advantage in producing every good. Alpha can generate 18 oranges or 9 apples per hour, whilst Beta can produce 16 oranges or 4 apples per hour. The opportunity cost of producing one orange for Alpha and Beta is 0.5 apples and 0.25 apples, respectively.
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Is Y =- 2 vertical or horizontal?
y = − 2 is a horizontal line that crosses the -axis at -2.
Now, According to the question:
Let's know:
What is Horizontal lines?
If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.
The given equation is Y = -2
y = 2 is a horizontal line that crosses the -axis at 2.
=> y = − 2 is a horizontal line that crosses the -axis at -2.
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A rope is fixed between two trees that are 10 metres apart. When a child hangs on to the centre of the rope, it sags so that the centre is 2 metres below the level of the ends. Find the lenth of the rope.
The length of the rope is 2√29 meters.
What is an isosceles triangle?
An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
Given that the distance between two trees is 2 meters. A boy hangs on a rope tied to the trees in the middle of the rope.
it sags so that the center is 2 meters below the level of the ends.
Thus it forms an isosceles triangle. △ACD and △BCD are two right triangles.
Since △ABD is isosceles triangle and AD = BD.
In △ACD, Hypotenouse = AD, Base = AC = 10/2 = 5 cm, Height = CD = 2 meters
Apply Pythagorean theorem on △ACD:
AD² = AC² + CD²
AD² = 5² + 2²
AD² = 29
AD = √29
Therefore, BD = √29
The length of the rope is AD + BD = 2√29 meters.
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Whats the value of x?
A. 12.73
B. 9
C. 25.46
D. 31.18
Answer:
if u feel like u find the value that is correct but if u didn't find it it can be 1 the power of x can be 1
Answer:
B.9
all done hope it help
Which triangle is triangle MNO similar to and why?
Answer:
triangle GHK
Step-by-step explanation:
angles add up to 180
angle N + angle M + angle O = 180
79 + 22 + angle N = 180
180 - 79 -22 = angle N = 79
triangle GHK has 2 of the same angles (79 and 79), so that is our answer
Can you help me do this exercice that I don't know how to do it, can you help me for this homework ?
After simplifying each expression, we get (2+5a - 10 b), (8a² - 15ca +2c),
(11- 2a+b) and (a+ b) respectively.
What is simplification?
The word simplify means to write an expression, equation or problems
in the simplest form so as to easy to evaluate it. we simplify an expression by removing the parenthesis and collecting like terms.
How can we simplify the expression given in question?
exercise 1.
given, A = 7 - 4a + 7a - 3b -5 -7b +2a
We collect the like term and get
A= 7 - 5 -4a +7a +2a -3b- 7b
A = 2 + 5a -10b
next, given B = 4a × 2a -5c - c +8c -3c × 5a
B = 8a² -6c +8c - 15ca
B = 8a² -15ca +2c
exercise 2.
given, A = 7 + [(2- a) -( 2+a) +9] + (b-5)
at first, we remove the parenthesis and get
A= 7 + [2-a - 2 -a+ 9] +b- 5
A = 7 + 9- 2a +b- 5
after collecting the like term
A = 11- 2a + b
given, B = 15 - [(7-b) - 9- (a-17)]
B = 15 - [7- b- 9 - a+17]
B = 15 - [15 - b -a]
after removing the parenthesis
B = b +a
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Is the inverse of every linear function also a function?
In most cases, the inverse of a linear function is also a linear function.
What is a linear function?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function.
Here, stands for the line's gradient and b for the y-axis intercept (which is sometimes called the vertical intercept).
These functions' graphs are mirror images of one another when viewed along the line y=x.
As a result, the points on the graph of f(x) are the points on the graph of f(x) that have been turned around.
A linear function's inverse is typically also a linear function.
Therefore, in most cases, the inverse of a linear function is also a linear function.
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The price of an item has dropped to $42 today. Yesterday it was $60 . Find the percentage decrease.
Answer:
70% Decrease
Step-by-step explanation:
70% Decrease
The percentage decrease in price of an item is 30 %
Step by step solution:
The percentage decrease in price = [(original value - decreased value)/original value]*100
percentage decrease[tex]=\frac{(original value - decreased value}{original value} * 100[/tex]
percentage decrease=[tex]=\frac{60 - 42}{60} *100[/tex]
[tex]=\frac{18}{60} *100[/tex]
[tex]=0.3 *100[/tex]
30 %
Therefore, the percentage decrease in price of an item is 30 %
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How to know if an equation is factorable using discriminate
On solving the provided question we can say that - here in equation we have [tex]y = 160+ 2 *t= > y = 160 + 2X 30 = > y= 160+ 60 = > y = 220 pounds[/tex]
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]
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Xavier ran 13 miles in 182 minutes. Assume Xavier maintains a constant speed.
Enter the number of minutes it takes Xavier to run 1 mile
Answer:
14 minutes
Step-by-step explanation:
We can represent Xavier's running in the following ratio using the given information:
distance : time
13 miles : 182 minutes
To get the answer to this problem, all we have to do is divide both sides of the ratio by 13, so that the left side is 1 mile.
[tex]13 \textrm{ miles} : 182\textrm{ minutes}\\\overline{\ \ \ \ 13 \ \ \ \: } \ \ \: \overline{\ \ \ \ \ \ \, 13 \ \ \ \ \ \ }[/tex]
1 mile : 14 minutes
It takes Xavier 14 minutes to run 1 mile.
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST
Nick mowed about 3.5 of the school lawn yesterday. He mowed another 1/4 of the lawn this morning. How much is left to mow? Answer if you can.
The portion left to mow is 3x+3.5 /4
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here:Nick mowed about 3.5 of the school lawn yesterday. He mowed another 1/4 of the lawn this morning. Let the whole lawn be x then on the first day portion left to be mowed is x-3.5 and on the second day he moved 1/4 of this quantity thus portion of lawn left to be mowed is
x-x-3.5/4
=3x+3.5 /4
Hence, The portion left to mow is 3x+3.5 /4
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
x ≥ 2
Step-by-step explanation:
the solid circle at 2 indicates that x can equal 2
the arrow points to the right indicating values of x greater than 2 , then the inequality being represented by the number line is
x ≥ 2
giving 100 pts/ brainliest!! please help this is due in 20 minutes
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
What is the system that models this situation?
Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.
Answer:
p + m = 5, p + 0.2m = 0.6(5)2.5 lb peanuts; 2.5 lb almond mixStep-by-step explanation:
You have peanuts and an 80-20 almond-peanut mix, and you want to know how many pound of each are needed for 5 lb of a 60% peanut mix.
System of equationsThe system of equations relating the pounds of peanuts (p) and the pounds of almond mix (m) will describe the total mixture weight, and the weight of the peanuts.
p + m = 5 . . . . . . total mixture weight is 5 lb
p + 0.20m = 0.60(5) . . . . . weight of peanuts in the 60% peanut mix
SolutionWe can subtract the second equation from the first to eliminate the variable p:
(p +m) -(p +.2m) = (5) -(.6)(5)
0.8m = 0.4(5) . . . simplify
m = 2.5 . . . . . . . . divide by 0.8
p = 5 -m = 2.5
The solution to the system is 2.5 lb peanuts and 2.5 lb mixture.
Dobra has 20 birr to Spenclon juice boxes for her son's preschool picnic. Each pack of juice boxes Corts 2.50- what is the maxiumum a numbers of packs she can buy
Using simple unitary method and with the total and per unit value provided, The answer is 8 boxes maximum can be bought.
What is unitary method?The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.
Why is unitary method important?The unitary method is a useful tool for solving problems involving units of measurement, it simplifies the problem and improves understanding of conversions. It also helps to develop critical thinking skills and is a useful tool for problem-solving in a variety of subjects.
each box costs = 2.5
total money =20
maximum that can be bought = 20/2.5 =8
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please please help soon
solve for x (in an integer or two integers or simplest radical form):
-42=8-2x^3
The value of x in its simplest radical form is (25)^1/3
What are integers or radicals?When a given number is in the form of a whole number, it is said to be an integer. Thus it can not be in the form of a fraction or does not have a decimal part. Examples include: 20, 345, 10, etc.
Radical form is a type of number which is expressed with a square root. This it could give a whole number or a number with a decimal part as the final answer.
To solve for x in either as an integer or in its simplest radical form;
-42 = 8 - 2x^3
-42 - 8 = -2x^3
- 50 = -2x^3
divide through by -2 to have;
x^3 = 25
find the cube root of both sides,
x = 25^1/3
Therefore in it simplest radical form, the value of x is 25^1/3
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What are 3 horizontal lines?
The 3 horizontal line refers the equivalent relation.
The term horizontal line in math defined as a straight line that is mapped from left to right and it is parallel to the X-axis in the plane coordinate system.
Here have to find the meaning of 3 horizontal line.
As per the definition of horizontal line, the three horizontal line also known as triple line defines the equivalent relation of the term.
Here the equivalent that is not the same as 'equals'
Where the double bar is more common and generally implies equality on the other hand the triple bar or equal sign with three lines means congruent or, more generally, an arbitrary equivalence relation.
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what’s the perimeter of a rectangle that’s
6m
6m
9m
9m
Answer:
30
Step-by-step explanation:
perimeter is the outside of a shape so just add them all together honestly
How do you solve an inequality equation?
There are four fundamental types of inequality: less than ( < ), larger than( > ), less than or equal to ( ≤ ), and more than or equal to( ≥ ).
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
Steps to solve the inequality:
First, get rid of all fractions by multiplying all terms by the fractions' lowest common denominator. (There is no difference when we multiply by a positive number.)Second, simplify the inequality by merging like words on either side. The sameThird To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts. The sameFourth, multiply each term in the inequality by the unknown coefficient. The inequality will not change if the coefficient is positive. Inequality will also be reversed if a negative coefficient exists. The crucial distinction between equations and inequalities is this.To know more about inequalities refer to:
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What is the AAA equation?
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Consider two triangles ABC and XYZ, if ∠ A = ∠X and ∠C = ∠Z then
ΔABC ~ΔXYZ.
If, two triangles ΔABC and ΔXYZ are similar only if,
i)∠A =∠X, ∠B =∠Y and ∠C=∠Z
ii)AB/XY=BC/YZ=AC/XZ
"AAA" means "Angle, Angle, Angle" when we know all three angles of a triangle, but no sides.
If two triangles have their corresponding angles equal if and only if their corresponding sides are proportional.
An AAA triangle is a triangle where only the three angles are defined:
α + β + γ = 180°
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GIVING BRAINLIEST! HELP
Answer:
Below
Step-by-step explanation:
125 kg * 2.204 pound/kg = 275.5 pounds
Answer:
D. 275.5 pounds
Step-by-step explanation:
1 kg = 2.204 lbs
=> 125 kg = (125 kg)(2.204 lbs/1 kg) = 275.5 lbs
A television is on sale for $75 off.
The price of the television with the sale is $300.
If you use the equation −75=300 to solve this problem, what does n represent?
In this equation, n represents the original price of the television before the sale.
What is equation?Equation is a mathematical statement that expresses the equality of two expressions by using numbers, symbols, and operations. It is used to describe the relationship between different variables in a problem. Equations are usually written as a statement of equality, such as 2 + 2 = 4, where the left side of the equation (2 + 2) is equal to the right side (4). Equations can be used to solve for a single unknown value, or to determine the relationship between multiple variables.
In this equation, n represents the original price of the television before the sale.
This means that the original price of the television was $375.
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if you can buy one bunch of cilantro for $1.60 how many can you buy with $38.40?
Answer: 24 bunches of cilantro
Step-by-step explanation:
1. Set a proportion with the given information, which should be 1/1.60 = x/38.40.
2. Cross multiply. Now the equation should 1.60x = 38.40.
3. Divide by 1.60 to get x alone to find out how many bunches of cilantro you can buy with $38.40. This should give you x = 24 bunches of cilantro.
Answer:
24 bunches
Step-by-step explanation:
The person below is correct
A carpenter needs to be sure that a frame he has built is rectangular. He knows that the opposite sides of his frame are congruent. Which additional fact would be sufficient to prove that the frame is a rectangle?
A)
If two adjacent angles are supplementary, then the frame must be rectangular.
cross out
B)
If the adjacent sides are also congruent, then the frame must be rectangular.
cross out
C)
If opposite angles are congruent, then the frame must be rectangular.
cross out
D)
If one angle is a right angle, then the frame must be rectangular
The answer is D) If one angle is a right angle, then the frame must be rectangular,
What is angle?An angle is a measure of the amount of rotation between two lines or planes. It is measured in degrees or radians. Angles are formed by the intersection of two lines, called the sides of the angle, and a point, called the vertex of the angle. There are different types of angles such as acute angle, right angle, obtuse angle, and straight angle.
What is rectangle?A rectangle is a four-sided polygon with four right angles. It has opposite sides that are parallel and congruent, and the opposite angles are also congruent. A rectangle can be defined by its length and width or by the coordinates of its vertices. Rectangles are a special case of parallelograms, which have opposite sides parallel but not necessarily congruent. The special properties of rectangles make them a popular shape in design and construction, such as in building and engineering.
A rectangle is defined as a four-sided polygon with four right angles. Opposite sides of a rectangle are congruent, but adjacent sides may or may not be congruent. Therefore, A and B are not sufficient to prove that the frame is a rectangle. Also, two adjacent angles being supplementary does not guarantee that the frame is a rectangle. The only way to be sure that the frame is a rectangle is if it has one right angle, this is the only way to ensure that all angles are right angles. Therefore, D) is the correct answer.
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A soccer team earns 2 points for a win and 1 point for a tie. Let w represent the number of wins and t represent
the number of ties. Write an expression that describes the team’s total points
An expression that describes the team’s total points will be 2w + t.
How to calculate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator
In this case, the soccer team earns 2 points for a win and 1 point for a tie.
Let w represent the number of wins and t represent the number of ties.
The expression that describes the team’s total points will be:
= 2(w) + t
= 2w + t
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becky is doing research in which she needs 28 g of a substance that is 30% protein how many grams of each two ingredients one that is 50% protein in the other 25% protein should she mix together
Answer:
25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.
Step-by-step explanation:
To make 28 grams of a substance that is 30% protein, Becky will need to mix together different ingredients to get the desired amount of protein.
Let's call the amount of the first ingredient (50% protein) "x" and the amount of the second ingredient (25% protein) "y".
We know that:
The total amount of the mixture is 28 grams
The mixture is 30% protein
The first ingredient is 50% protein
The second ingredient is 25% protein
We can set up the following equations to represent the problem:
x + y = 28 (the total amount of the mixture is 28 grams)
(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)
Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:
y = 28 - x
We can substitute this into the second equation:
(0.50)x + (0.25)(28-x) = 0.30(28)
Which gives us:
0.50x + 7 - 0.25x = 8.4
And further simplifying
0.25x = 0.6
x = 2.4
Now we know that the first ingredient, which is 50% protein, makes up 2.4 grams of the mixture. We can use this information to find the amount of the second ingredient:
y = 28 - x = 28 - 2.4 = 25.6 grams
So, Becky needs to use 2.4 grams of the first ingredient (50% protein) and 25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.
In the cube $ABCDEFGH$ with opposite vertices $C$ and $E$, $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD}$, respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2$
(A) $\frac{5}{4}$ (B) $ \frac{4}{3} $ (C) $ \frac{3}{2} $ (D) $ \frac{25}{16}$ (E) $\frac{9}{4}$.
The value of R² is 3/2
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
We can see that EJCI is a rhombus and
Area of rhombus is given by
Area of rhombus = Lenth of one diagonal * length of another dialonal / 2
Thus,
EC = (a^2 + a^2 + a^2)^0.5
=> EC = a * (3)^0.5
JI = (a^2 + a^2 )^0.5
=> JI = a * (2)^0.5
So, the area of EJCI = EC * JI / 2
=> Area = (1/2) * (a^2) * (6)^0.5
Area of face = a^2
R = [ (1/2) * (a^2) * (6)^0.5] / a^2
=> R = 1/2 * 6^0.5
So, the required R² is
R^2 = (1/4) * 6
=> R^2 = 3/2
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Simplifying algebraic expressions
Answer:
[tex] \sf \: 6 + 3b + 8 = 32[/tex]
Step-by-step explanation:
Given expression,
→ 6 + 3b + 8
Now we have to use,
→ b = 6
Let's solve the expression,
→ 6 + 3b + 8
→ 6 + 3(6) + 8
→ 6 + 18 + 8
→ 24 + 8
→ 32 => final value
Hence, the answer is 32.
(x + 7 ) + 3y help me please
Answer:
x+7+3y
Step-by-step explanation:
You just remove the parentheses in this case since you don't have to change any of the operations.
Answer:
Step-by-step explanation:
x+7+3y simplifed