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Andrews [41]
2 years ago
11

Two mechanics worked on a car. The first mechanic worked for

Mathematics
2 answers:
yuradex [85]2 years ago
6 0
Create equations:
10X+15y=2575.
X+Y=210.
Solve for X: X=210-Y, and sub it into the other equation: 10(210-Y)+15Y=2575. Solve for Y: 2,100-10y+15y=2575, 5y=475, y=95.
Sub Y into the original problem: X+95=210. Solve: X=115.
The first mechanic charges $115 per hour and the second charges $95 :)
ZanzabumX [31]2 years ago
3 0
You can use 2 equations for this. let's use x to stand for 10 hour mechanic rate and y for 15 hour mechanic rate. So for first equation we know the total amount of money made was 2575. we also know that each mechanic charged 10x (10 hours times his pay rate) and 15y (15 hours times other payrate). So:
10x + 15y = 2575

we also know that the 2 rates added together equals 210. this means:
x + y = 210

we can actually solve for x or t on this second one easily:
x= 210 - y. Or y = 210 - x

I'm going to use the x= 210 - y but you could use the other one.

since I know what x equals I can actually substitute it in on the first equation like so:
10 * (210 - y) + 15y = 2575

notice how I combined the 2 equations
2100 - 10y + 15y = 2575

move the 2100 to other side by subtracting and combine y' s
5y = 475
y = 95

So so we know the 15 hour employee charged $95 an hour. we can plug this into second equation and find other wage. like this:
x = 210 - 95
x = 115

So this 1st guy made $115 an hour
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If we are given with the mean sustained wind velocity of 64 m/s, then we can solve for the air pressure using the equation:

64 = 6.3 √(1013 - p)

64/6.3 = √(1013 - p)

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The lines on a 2-cup liquid measuring cup divide each cup into eighths. If you measure 1 3/4 cups of water, between which two qu
masya89 [10]

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup  

2nd line up: 2/8 cup    this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup     this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup     this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup     this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup    this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup     this is also called 1 1/2 cup

13th line up: 1 5/8 cup

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1 3/4 cups is between the 13th and 15th lines from the bottom.

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3 years ago
Complete the square on the following quadratic x2+10x+9=0
kakasveta [241]
Given a quadratic equation x^{2} +ax+c=0

1. the first thing we do when we want to compete the square, is write the coefficient of x as 2 times a number.

In our case the coefficient of x is 10, so we write 10 as 2*5

2. then we write + 5^{2} and - 5^{2} to the expression:

x^{2} +2*5*x+ 5^{2} -5^{2}+9=0

(x^{2} +2*5*x+ 5^{2}) -25+9=0

(x+5)^{2}-16=0



Answer: (x+5)^{2}-16=0
8 0
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If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of
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The value of the variable x is found to be x = 9.

<h3>What is termed as angle bisector?</h3>
  • In geometry, an angle bisector is a line that divides an angle into two equal angles.
  • A bisector is something that divides a shape or thing into two equal portions.
  • An angle bisector is a ray that divides an angle into two equal components of the same measurement.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

Subtract 1 from each side

46-1 = 5x

45 = 5x

Divide each side by 5

45/5 = 5x/5

x = 9

Thus, the value of the unknown variable is found to be x = 9 units.

To know more about the angle bisector, here

brainly.com/question/14399747

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