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Butoxors [25]
3 years ago
10

Two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together the

y charged a total of $ 2500 . what was the rate charged per hour by each mechanic if the sum of the two rates was $ 205 per hour?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0
Let x and y be the rate per hour for Mechanic 1 and 2 respectively.

Then,
x+y=205 ---------- (1)
Additionally,
10x+15y = 2500 ------ (2)

Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
        -5 y = --450 => y = 450/5 = $90
Then,
x= 205-90 = $115

Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour
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jekas [21]
All except dilation

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2 years ago
What are 2 equivalent expressions that are equal to 10m-40
yuradex [85]
It's simple, there is a ton
Multiply all the numbers by 2: 20m - 80
or Divide all the numbers by 2: 5m- 20
or Multiply all the numbers by 3: 30m - 120
4 0
3 years ago
Read 2 more answers
Shay mal e 8 2/3 cups of snacks mix she puts all the snack mix into plastic bags she puts 1/3 cup of the snack mix in each bag h
AnnyKZ [126]

Answer:

She needs 26 plastic bags.

Step-by-step explanation:

Given:

Amount of cups of snacks mix = 8 2/3

Rewriting 8 2/3 we get,

Amount of snacks mix = \frac{26}{3}

Number of Cups in each bag = \frac{1}{3}

She puts all the snacks mix in plastic bags

We need to find the number of plastic bags required to put all the snacks mix

Let number of plastic bag be x.

hence we can say that Number of Cups in each bag multiplied by number of plastic bag is equal to  Amount of snacks mix.

\frac{1}{3}x=\frac{26}{3}\\\\x= \frac{26\times3}{3\times1} =26

Hence total number of plastic bags she needs is 26.

6 0
3 years ago
What is the slope of a line that is perpendicular to the line shown? (3,3) and (-3,-1)
4vir4ik [10]

Answer:

-3/2

Step-by-step explanation:

Using the slope formula, we can find the slope of the line shown

m = ( y2-y1)/(x2-x1)

    = ( -1-3)/(-3-3)

   = -4/-6

  = 2/3

A line that is perpendicular is the negative reciprocal

-1/ (2/3) = -3/2

8 0
3 years ago
Read 2 more answers
∠A and ∠B are vertical angles. If m ∠A=(2x+26)∘ and ∠B=(3x−29)∘, then find the measure of ∠A.
Leya [2.2K]

The measure of angle (m ∠A) is 136°

<h3>Vertical angles theorem</h3>

From the question, we are to find the measure of angle A

From the given information, we have that

∠A and ∠B are vertical angles

Thus

∠A = ∠B

and

Also, from the given information,

m ∠A=(2x+26)°

and

m ∠B= (3x−29)°

∴ (2x+26)° = (3x−29)°

Now, solve for x

2x + 26 = 3x - 29

26 + 29 = 3x - 2x

55 = x

∴ x = 55

But measure of angle A is given by

m ∠A=(2x+26)°

Put the value of x into the equation,

m ∠A=(2(55)+26)°

m ∠A=(110+26)°

m ∠A = 136°

Hence, the measure of angle (m ∠A) is 136°

Learn more on Vertical angle theorem here: brainly.com/question/24839702

#SPJ1

6 0
2 years ago
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