The solution of equation 3x + 4y = -12 for y is y = -3 - 3/4 x.
In the given question, we have to solve 3x + 4y = -12 for y.
The given equation is 3x + 4y = -12.
To solve this equation for y, we have to isolate the y.
Now solving the given equation.
3x + 4y = -12
Subtract 3x on both side, we get
4y = -12 - 3x
Divide by 4 on both side, we get
y = [tex]\frac{1}{4}[/tex](-12 - 3x)
Now simplifying the expression.
y = -12/4 - 3/4 x
y = -3 - 3/4 x
Hence, the solution of equation 3x + 4y = -12 for y is y = -3 - 3/4 x.
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The complete question is:
How do you solve 3x + 4y = -12 for y?
Micaela and Jackson own competing taxicab companies. Both cab companies charge a one-time pickup fee for every ride, as well as a charge for each mile traveled. Micaela charges a $3.50 pickup fee and $1.30 per mile. The table below represents what Jackson's company charges.
Jackson's company $1.2 more than Micaela's.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Micaela charges a $3.50 pickup fee and $1.30 per mile.
And, The table represents what Jackson's company charges.
Now, Micaela charges a $3.50 pickup fee and $1.30 per mile.
Hence, The equation that represents Mathew's charges is given as,
⇒ y = 1.30x + 3.50 .. (i)
And, From table,
The equation that represents Jackson's charges is given as:
Take two points (x, y) = (10, 30.50) and (30, 88.50)
Hence, The equation is,
⇒ y - 88.50 = (88.50 - 30.50)/(30 - 10) (x - 10)
⇒ y - 88.50 = 50/20 (x - 10)
⇒ y - 88.50 = 2.5 (x - 10)
⇒ y - 88.50 = 2.5x - 25
⇒ y = 2.5x + 88.50 - 25
⇒ y = 2.5x + 63.50 .. (ii)
We know that;
A linear equation is represented as:
⇒ y = mx + b
Where: m represents the slope/rate.
Hence, Jackson's company $1.2 more than Micaela's.
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PLEASE HELP ME T-T "If there were 50 mosquitos near a pond. The population doubles every month" how is that non-linear
The table for given phrase shows non-linearity.
The complete explanation is given below.
What is linear function?The graph of a linear function is a straight line. The following is the form of a linear function.
a + bx = y = f(x).
One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.
Given:
There were 50 mosquitos near a pond.
The population doubles every month.
For 4 next four months, the population of mosquitos,
Number of months (x) → Population (y)
1 → 50
2 → 100
3 → 200
4 → 400
If the table shows linear relationship,
then its first difference is constantly equal.
That means,
100 - 50 = 50
200 - 100 = 100
400 - 200 = 200
First difference is not equal.
Therefore, the table shows non-linearity.
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Is 35 and 36 a co-prime number?.
Yes, 35 and 36 are co-prime numbers. The factors of 35 are 1,,5, and 7 while for 36 it is 1,3,4,6,9, and 12. They share only 1 as factor hence they are coprime
The only two numbers that have 1 in common are known as co-prime numbers. From 1 to 100, some of these Co-Prime Numbers include: There are numerous pairs of Co-Primes from 1 to 100 that adhere to the aforementioned characteristics. The following are a few of them: (1, 99), (14, 15), (28, 57), (29, 31), (23, 1), (59, 97), etc. Sets of numbers that are coprime with one another are referred to as coprime numbers. Each and every prime number is a co-prime: One and the number itself are the only two factors that each prime number has, so the only factor that two prime numbers will have in common is 1. Two prime numbers are, for instance, 11 and 17.
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pls help 100 points to who ever gets it write
Answer:
13.5 blocks
12 blocks
Step-by-step explanation:
Each division on the number line represents half a block.
From inspection of the number line:
John's house is 9.5 blocks west from the park.Liam's house is 4 blocks east from the park.Therefore, the distance between John's house and Liam's house is:
9.5 + 4 = 13.5 blocksFrom inspection of the number line:
Katie's house is 3.5 blocks west from the park.Trina's house is 8.5 blocks east from the park.Therefore, the distance between Katie's house and Trina's house is:
3.5 + 8.5 = 12 blocksCan somebody help me
The linear equation for this scenario is y = 2x + 10 and $20 was charged for 5 ATM transactions
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let y represent the total cost for x monthly transactions.
$10 is charged monthly plus $2 per transaction, hence:
m = 2, b = 10
y = 2x + 10
For 5 ATM transactions:
y = 2(5) + 10 = $20
The linear equation for this scenario is y = 2x + 10
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In cience cla, Anita i learning to ue a method called water diplacement to find the volume of a olid. In today' experiment, he miread the marking on her graduated cylinder and found the volume of a olid to be 0. 46 cubic centimeter. Anita' lab partner corrected her by aying the actual volume of the olid wa 0. 50 cubic centimeter. What i the percent error for Anita' meaurement?
The percent error for Anita's measurement is 8%
To calculate the percent error, you need to find the difference between the measured value and the actual value, then divide that by the actual value and multiply by 100. The formula for percent error is:
% error = (|measured value - actual value| / actual value) x 100
In this case, the measured value is 0.46 cubic centimeter and the actual value is 0.50 cubic centimeter.
% error = (|0.46 - 0.50| / 0.50) x 100
% error = (0.04 / 0.50) x 100
% error = 0.08 x 100
% error = 8%.
Hence, Anita's measurement using the water displacement method has a percent error equivalent to 8%.
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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The side length UX which have the segment UW tangent to the circle is equal to 3.4.
Tangent to a circle theoremThe tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency
Considering the triangle ∆UVX; we will observe that the side XV consists of the circle diameter which is perpendicular to the side UV tangent to the circle, this implies the ∆UVX is a right triangle and we can solve for the side length UX using the Pythagoras rule as follows;
UX² = 3² + 1.6²
UX² = 9 + 2.56
UX² = 11.56
UX = √11.56 {take square root of both sides}
UX = 3.4.
In conclusion, we have the length of side UX = 3.4 which have the segment UW tangent to the circle.
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Combine any like term in the expreion. If there are no like term, rewrite the expreion. 5g5g–10g
The expression can be simplified by combining any like terms, which in this case are 5g and 5g. When added together, they become 10g.
The expression 5g5g–10g can be simplified by performing the following steps:
1. Multiply 5g and 5g, to get 25g2.
Subtract 10g from 25g, to get 15g.
3. Simplify to 10g.
Simplifying the expression 5g5g–10g involves combining like terms. Like terms are terms that have the same variable, in this case the letter g. To simplify, first we need to multiply the two 5g terms together, giving us 25g. Then, we subtract 10g from 25g, to get 15g. Finally, we can simplify further by combining any remaining like terms, which in this case there are none. Therefore, when all is said and done, the expression can be simplified to 10g. This is because 10g is the only like term in the expression.
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a delivery truck is transporting boxes of two sizes large and small. the large boxes weigh 60 pounds each and the small boxed weigh 30 pounds each. There are 110 boxes in all. If the truck is carrying a total of 4800 pounds in boxes how many of each type of box is it carrying?
The number of small boxes it is carrying is 60 and the number of large boxes it is carrying is 50.
How many of each type of boxes is it carrying?The first step is to form a system of equations using the information in the question:
l + s = 110 equation 1
60l + 30l = 4800 equation 2
Where:
l = number of large boxes
s = number of small boxes
The elimination method would be used to solve these equations.
Multiply equation 1 by 60
60l + 60s = 6,600 equation 3
Subtract equation 2 from equation 3:
30s = 1800
Divide both sides of the equation by 30
s = 1800 / 30
s = 60
Substitute for s in equation 1
l + 60 = 110
l = 110 - 60
l = 50
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Brianna etimated that he would pend $60 hopping for chool upplie before the tart of the chool year. She actually pent $55. What i the percent error for her etimate?
The percentage error is 8.3%. ((60 - 55) / 60) x 100 = 8.3%.
(60 - 55) / 60 = 0.083
0.083 x 100 = 8.3
Brianna estimated that he would spend $60 hopping for school supplies before the start of the school year. However, she actually spent $55. To calculate the percent error for her estimate, we first subtract the actual amount spent ($55) from the estimated amount ($60). This gives us 0.083, which is then multiplied by 100 to get 8.3%. This means that Brianna's estimate was 8.3% off from the actual amount spent. This result can help her understand how close her estimate was to the actual amount spent and can help her improve her estimating skills in the future.
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What are the 4 system of equations?.
The 4 systems of equations are Quadratic Equation, Linear Equation,
Exponential Equation and Rational Equation.
Linear Equations: Each term involved in the linear equation is either a constant, a single variable, or a product of a constant. The general form of this equation with two variables is shown by
Y = mx + c, m ≠ 0
Where m is the slope
C is the intercept of the y-axis
Quadratic Equations: The quadratic equation is a second-order equation in which any one of the variables contains a power of 2. The general form is
px² + qx + r = 0, p ≠ 0
Exponential Equations: This math equation contains the variables in place of exponents. By using the properties, an exponential equation can be solved.
[tex]a^{x}=a^{y}[/tex] ⇒x = y
Rational Equations: A rational math equation involves rational expressions.
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correct 19784065 to 2 significant figures
Answer: 20 000 000
(the first value is two because the one after the second one (9) is greater than 5 therefore you should add 1 to the the number in front)
What is the F-14 known for?.
The F-14 Tomcat was created as a long-range naval interceptor and air superiority fighter, allowing it to perform the roles of an escort attack aircraft when equipped with Sparrow missiles and a fleet air defense loitering interceptor when equipped with Phoenix missiles.
The F-14 was equipped with the capacity to shoot down ANY enemy aircraft, anywhere in the globe. No other Cold War aircraft could dispatch two nuggets on a "normal" mission from the CV and capture two Aces a few hours later. Incredible combat capabilities were made possible by the AIM-54 and the AWG-9.
During the war, the F-14 was credited with one air-to-air victory. On February 6, 1991, a VF-1 F-14A employing an AIM-9 Sidewinder brought down an Iraqi Mil Mi-8 helicopter. Budget cuts that came into effect in 1991, after the conclusion of both the Cold War and the Persian Gulf War, forced the early retirement of the Tomcat.
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A group of friend i haring 2 and 1/2 pound of berrie if each friend recieved 5/4 of a pound of berrie, how many friend are haring the berrie
Answer:
Step-by-step explanation:
Tatitic on the chool baketball team how the ratio of baket made to the total hot taken i 4:7 if the team hort a total of 56 baket in the lat game how many baket did they make
In the last basketball game, the ratio of baskets made to the total shots taken was 4:7 and if the team shot a total of 56 baskets in the game then the total basket they made is 40.
The ratio is 4:7, this means that for every 7 shots taken, 4 of them were made. If the team shot a total of 56 shots in the last game, then they made
(4/7) ×56 = 40 baskets.
This calculation can be broken down into simpler terms. For every 7 shots, 4 shots were made. Therefore, for 56 shots, 40 shots were made. Therefore, the team made 40 baskets in the last game.
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Jim is trying to solve the system of equations. He begins by multiplying equation (1) by d and equation (2) by a. Before he can continue, his friend angela comes by and says, "no, you should have multiplied equation (1) by e and equation (2) by b. You're going to get the wrong answer. " is angela right? why or why not?.
It depends on the values of a,b,d and e in the equations , different values may lead to different answers.
What is linear equation ?
A linear equation is an equation in which the highest power of the variable is 1. Linear equations can be written in the form of y = mx + b, where m is the slope of the equation, x is the variable, and b is the y-intercept, the point where the line crosses the y-axis. These equations are called linear because they describe a straight line when graphed.
It depends on the specific equations and the values of a, b, d and e in the system of equations. Multiplying both sides of an equation by a non-zero constant does not change the solution set of the equation.
However, if Jim wants to use the method of elimination, which is multiplying one equation by a constant and adding or subtracting it from the other equation, then it is important to ensure that the coefficients of one variable in the two equations are opposite in sign after the multiplication. This will enable him to eliminate one variable and find the value of the other variable.
It depends on the values of a,b,d and e in the equations , different values may lead to different answers.
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An electrician has 50 feet of copper wire. On his first job of the day he used 13.5 feet of wire, then he cut the rest of the wire into 4-foot pieces. A. Write an equation that represents the situation in terms of x, the number of 4-foot-long wire pieces. B. How many whole 4-foot pieces of wire does the electrician have? Show your work and explain your reasoning.
The equation that represents the situation in terms of x is 4x = 50 -13.5,
and there will be 9 whole pieces of wire of 4 feet.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given the total length of wire = 50 feet
length used = 13.5 feet
length of wire left = 50 - 13.5
A. wire is cut into 4 feet pieces
let there are x pieces,
expression for the pieces is
4x = 50 -13.5
B. 4x = 50 - 13.5
4x = 36.5
x = 36.5/4
x = 9.125
the whole number is 9
so there will be 9 pieces in a whole.
Hence the expression is 4x = 50 - 13.5,
and there will be 9 pieces of wire.
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What the heck is this
F(x) =21 = x + 11 = 21
This is for my math assignment .-.
Answer:
5
Step-by-step explanation:
it only works when I f +and two year old and I chose truth aboutKevin put $8000 in the bank for 9 year at 7% interet. Bet Bank give imple interet and Primo Bank give compound interet. A. How much money would Kevin have if he ue Bet Bank?
b. How much money would Kevin have if he ue Primo Bank?
c. Which bank hould Kevin ue? Why?
A. Kevin will have $5040 if he use Bet Bank.
B. Kevin will have $14,707.7 if he use Primo Bank.
C. Kevin would use Primo Bank due to high amount generation.
The formula to be used for simple interest is -
SI = PRT/100, where SI is simple interest, P is principal, R is rate of interest and T is time.
The formula for compound interest is -
A = [tex] {P(1 + r)}^{n} [/tex], where n is times interest is calculated.
To answer first part -
SI = 8000 × 9 × 7/100
Performing multiplication
SI = 504,000/100
SI = $5040
Amount generated = 8000 + 5040
Performing addition
Amount generated = $1340
To answer second part -
A = 8000(1+ 7/100)⁹
Convert rate to decimal
A = 8000 (1+0.07)⁹
Performing addition
A = 8000 × 1.07⁹
Taking power
A = 8000 × 1.84
Performing multiplication
A = $14,707.7
The money generated in Primo Bank is more. Hence, Kevin must choose this bank.
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50 points
Laisha rides a bike 8 miles in 40 minutes. Jefford rides a bike 5 miles in 30 minutes.
Who will bike the farthest in 1 hour?
2nd question- how much farther?
Step by step explain
We know that 1 hour = 60 minutes.
Set equal proportions for both Laisha and Jefford to find the distance x and y they bike in 60 minutes:
Laisha 8/40 = x/60 ⇒ 1/5 = x/60 ⇒ x = 60/5 = 12 milesJefford 5/30 = y/60 ⇒ 1/6 = y/60 ⇒ y = 60/6 = 10 milesLaisha will bike farther by:
12 - 10 = 2 milesthe perimeter of a major sector is 168cm.Given that the angle subtended by the minor arc at the centre of the circle is 72 degrees,calculate the area of the major sector
The area of the major sector is 2807. 1 cm²
How to calculate the area of the major sector?
The perimeter of a sector given by the formula:
P = θ/360 × 2πr
where r is the radius and θ is the angle subtended at the centre
Since the perimeter of a major sector is 168cm and the angle subtended by the minor arc is 72 degrees. We can say:
angle subtended by the major arc = 360 -72 = 288 degrees
P = θ/360 × 2πr
168 = 288/360 × 2πr
210 = 2πr
r = 210/2π
r = 33.42 cm
Thus, the radius of the major arc is 33.42 cm
The area of a sector given by the formula:
A = θ/360 × πr²
A = (288/360) × π × 33.42²
A = 2807. 1 cm²
Thus, the area of the major sector is 2807. 1 cm²
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How do you write a quadratic function in vertex form given the vertex and a point?.
Using the formula x=-b/2a, find the quadratic's vertex, and then substitute the result for y in the original equation.
Three points produce a quadratic function of the formula f(x) = ax^2 + bx + c. A quadratic function can be determined by finding a, b, and c algebraically given three locations on the graph. Because two points do not define a particular parabola, it is not possible.
There are an unlimited number of parabolas that pass through two points if you are only given two points and no additional information. After that, enter the vertex as a variable in the vertex form equation, y=a(x-h)^2+k. (A remains the same, h equals x, and K equals y.)Learn more about quadratic equation Visit: brainly.com/question/1214333
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A force of 115N causes a mass to accelerate at 0.657m/sec^2. What is the mass?
force = M × A
115 = M × 0.657
make M which is the mass the subject by dividing by 0.657 on both sides
115/0.657 = 0.657M/0.657
M = 115/0.657
M = 175.0380518
M = 175kg
How to graph this Piecewise Function
Step by step
Please help
The graph of the piece-wise function f(x) is given by the image presented at the end of the answer.
What is a piece-wise function?A piece-wise function is a function that has different definitions, depending on the input of the function.
The extreme points of the function in this problem are given as follows:
f(-3) = 2(-3) + 9 = -6.f(4) = 2(4) - 2 = 6.Hence the graph of the function in this problem is composed as follows:
Left of x = -3: Increasing line until point (-3,-6).Right of x = 4: Increasing line starting at point (4,6).More can be learned about piece-wise functions at https://brainly.com/question/19358926
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How do you solve a quadratic equation by factoring if it doesn't equal 0?.
Equation of the form are considered quadratic equations: ax² + bx + c = 0, where a, b and c are constants. The most straightforward method of solving a quadratic equation by factoring is to express the equation in its factored form, and then solve for the values of x that make it true.
To solve, start by setting the equation equal to zero. This will simplify the equation and make it easier to factor.
The equation has to be factored after that. To do this, you will need to identify the factors of c that add up to b. For example, if c = 15 and b = 6, the factors are 3 and 5, since 3 + 5 = 6.
Once you have identified the factors, you can rewrite the equation in its factored form. For example, if c = 15 and b = 6, the equation can be rewritten as (x+3)(x+5) = 0.
Finally, you can solve the equation by setting each factor equal to zero. For instance, if the equation is (x+3)(x+5) = 0, then x+3 = 0 and x+5 = 0. Solving each equation separately, you get x = -3 and x = -5. Therefore, the solutions to the equation are x = -3 and x = -5.
In conclusion, to solve a quadratic equation by factoring you will need to set the equation equal to zero, identify the factors of the constant c that add up to the coefficient b, and then rewrite the equation in its factored form. Finally, you can solve for the values of x that make the equation true by setting each factor equal to zero.
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Write an equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3r-1.
y =
The equation of the line that passes through (-3, 5) and is perpendicular to the line y = -3x - 1 is y = (1/3)x + (20/3).
What is the equation of the line?
The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y-intercept.
To write an equation of the line that passes through (-3, 5) and is perpendicular to the line y = -3x - 1, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope of the line that passes through (-3, 5). Since the line is perpendicular to y = -3x - 1, we know that the slope of the line is the negative reciprocal of -3, which is 1/3. So the slope of the line is 1/3.
Next, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Plugging in the point (-3, 5) and the slope 1/3, we get:
y - 5 = (1/3)(x + 3)
Simplifying we get:
y = (1/3)x + (20/3)
Hence, the equation of the line that passes through (-3, 5) and is perpendicular to the line y = -3x - 1 is y = (1/3)x + (20/3).
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Find the length of the midsegment of the trapezoid with the vertices A(0, 3), B(2, 5), C(6, 4), D(2, 0).
Answer: (Only for homework, no tests, please!)
Step-by-step explanation:
Hello! An easy way to help you solve this is to use graph paper. Make a coordinate grid using a ruler to help you form the trapezoid and plot the points at the proper coordinates. It should look something like this but with a line going through BC and AD. Draw the midpoint of line segments AD and BC by measuring their lengths with a ruler and divide the length in half to plot the points. Connect the midpoints with a ruler to form the midsegment. Hope this helps you with your homework!
I need help I’ll give BRAINLIEST
A bar graph would be the best graphical representation to display the data. The correct answer would be an option (D).
A random sample of 130 purchases from a particular pharmacy was taken. The type of item purchased was recorded, and a table of the data was created.
Item Purchased Health & Medicine Beauty Household Grocery
Number of Purchases 55 23 22 30
A bar graph would clearly and effectively show the number of purchases for each category of item (Health & Medicine, Beauty, Household, and Grocery) and allow for easy comparison between the categories.
Thus, a bar graph would be the best graphical representation to display the data.
Hence, the correct answer would be option (D).
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Figure A~ Figure B
Figure A
Figure B
r = 2 ft
r = 6 ft
V = 25. 12 cu ft
Find the volume of Figure B.
Round your answer to two decimal places,
[?] ft[ ]
Enter
No links please
Figure B's cone has a volume of 678.24 cu ft.
The Volume of Cone in figure B is 678.24 cu ft.
Given:
Figure A~ Figure B
Figure A: where V = 25.12 cu ft and r = 2 feet
Figure B: r= 6 ft
Now, the formula for volume of cone
= 1/3 πr²h
As, Figure A and B are similar
So, [tex]r(B) / r(A) =h(A) / h(B)\\[/tex]
[tex]= 6/2[/tex]
=3
Now, r(B) = 3 r(A)
and, h(B) = 3 h(A)
So, the volume of figure B is
V = 1/3 π(3 r(A))² (3h (A))
[tex]V = 1/3 \times 27\times 3\times \pi r^2(A) h(A)[/tex]
V = 27 πr(A)²h(A
V = 27 V(A)
V = 27 * 25.12
V = 678.24 cu ft
Thus, the volume is 678.24 cu ft.
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You need to get your car fixed. You bring it to Mr. Bagnuolo’s Autobody Shop. He charges $60 per hour for the labor and then you must pay $100 for the part. When you pick up the car the next day, you are charged $340. How many hours did it take Mr. Bagnuolo to fix your car?
Answer:
4 hours
Step-by-step explanation:
We know
Mr. Bagnulo charges $60 per hour for the labor, and you must pay $100 for the part. Let C represent the cost and x represent the number of hours; we have the equation
C = 60x + 100
Now put 340 in for C and solve
340 = 60x + 100
240 = 60x
x = 4 hours
So, Mr. Bagnuoto take 4 hours to fix your car,
