MATHEMATICS MIDDLE SCHOOL

To repair body damage on a car auto body charges $125 plus $18 per hour car care charges $200 plus $12 per hour determine the number of hours for which the two body shops will cost the same

Answers

Answer 1
Answer: First of all, the equation is 125+18x=200+12x.
First subtract 12x from both sides of the equation. Your equation will now look like this:
125+30x=200
Subtract 125 from each side of the equation.
30x=75
Divide both sides by 30.
x= 2.5
Therefore, the answer is hours.
Hope this helps!
Answer 2
Answer:

Final answer:

This is a mathematics problem where a linear equation is used to find the number of hours when two auto body repair shops' services will cost the same. By equating and simplifying the cost equations for both companies, we find that the two shops will charge the same for 12.5 hours of work.

Explanation:

The question involves setting up and solving a linear equation. The equation signifies when the cost of service from two different auto body shops will be the same.

For the Auto Body shop, the equation is: Cost = $125 + $18×(number of hours). For the Car Care shop, the equation is: Cost = $200 + $12×(number of hours).

To find the number of hours where both costs are same, we set both equations equal to each other: $125 + $18x = $200 + $12x. Simplifying this, we subtract $125 from both sides getting $75 + $18x = $12x. Subtracting $12x from both sides gives $75= $6x. Dividing by 6, we get $x = 12.5 hours.

So, the two body shops will cost the same if the work lasts for 12.5 hours.

Learn more about Linear Equations here:

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Answers

The arrows indicate that you multiply each one, that way you don't forget in the long run, especially once you get to multistep algebraic equation.

So first you multiply the -7y by the 4 and you get -28y, if you remember a negative times a positive is a negative (I like to think of it as bad things that happen to good people is a  bad thing ;) ) Now you take the -7y, because you have to multiply it by both numbers in the parenthesis, and multiply it to the -y, and since when you multiply two y's together it becomes squared it is 7y^2 (squared) and since both are negative, they cancel out and become a positive (bad things that happen to bad people is a good thing in a sense) So therefore your answer for the equivalence is 7y^2 + -28y

Hope that helped, my math teacher has a lot of tricks for remembering this stuff :)
Distributive property is just saying multiply something. So you get -7y times 4, that gives you -28y for the other part you are going to do the same. But in this time y is being multiplied by it self so that mean that it is going to be something with an exponent. The answer for the second part is 7y^2 it turned into a positive because a nagar ice times a negative turns into a positive.

Based on the type of equations in the system, what is the greatest possible number of solutions (x2+y2=9/9x+2y=16? A=1
B= 2
C= 3
D= 4

Answers

Answer:

`Option B.

Step-by-step explanation:

The given system of equations is

x^2+y^2=9

9x+2y=16

The graph of first equation is circle and the graph of second equation is a line.

We know that a line can intersect a circle at most 2 times. So, the greatest possible number of solutions is 2.

First equation can be rewritten as

x^2+y^2=3^2

It is the standard form of a circle (x-h)^2+(y-k)^2=r^2, where (h,k) is center and r is radius.

In the above equation h=0,k=0 and r=3. It is a circle with radius 3 and centered at origin.

The second equation is

9x+2y=16

It is a linear equation.

Table of values.

x    y

0    8

1     3.5

2    -1

Plot these points on a coordinate plane and connect them by a straight line.

From the below graph it is clear that the line and circle intersect each other at two points. So, the given system of equation have two solutions.

Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

2/3 cup of oatmeal is needed to make 10 granola bars. How many such granola bars can be made with 20 cups of oatmeal ?

Answers

30 granola bars
20/1×3/2= 30
~JZ
Hope it helps

Write an expression for the calculation double the product of 6 doubled

Answers

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Baxter wants to make 1 1/2 time the recipe. Will he need more or less sugar than Violet needs if she doubles the recipe?

Answers

Baxter will need less since Violet will double the recipe. Double means Violet wants to make 2 times the recipe. 1 1/2 is less than 2.

I need help on this question plz

Answers

vertical

hope this helps

It has two types of symmetry:

vertical and horizontal
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