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scoray [572]
3 years ago
13

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

Mathematics
1 answer:
Dima020 [189]3 years ago
6 0
X - the rate charged by the first mechanic
y - the rate charged by the second mechanic

The sum of the two rates was $155.
x+y=155 \\
y=155-x

The first mechanic worked for 10 hours, the second mechanic worked for 5 hours, and together they charged $1000.
10x+5y=1000 \ \ |\div 5 \\
2x+y=200 \\
y=200-2x

Set 155-x and 200-2x equal to each other:
155-x=200-2x \\
-x+2x=200-155 \\
x=45 \\ \\
y=155-x=155-45=110

The rate charged by the first mechanic was $45, and the rate charged by the second mechanic was $110.
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What is the rotation that translates AWXY to AW'X'Y'? Be sure to give the degre
oee [108]

The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation. See the attached image for details.

<h3>What is a rotation in math?</h3>

Rotation in math refers to the change in the angle of a geometric shape around a central axis on a point on the geometric plane such that it's original coordinates are modified but it's size or shape.

Hence, it is correct to state that The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation.

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brainly.com/question/1574635
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4 0
2 years ago
86 is 45% of what number
Alik [6]
Hello there! We are talking about 86 being part of a number, so we are looking for the whole. To find the number we are looking for, we can write and solve a proportion. Set it up like this:

86/x = 45/100

86 is 45% of a number. We know the part, so now we are looking for the whole. 45% is part of 100%, so we put that part together. Cross multiply the digits. 100 * 86 is 8,600. 45 * x is 45x. That simplifies to 8,600 = 45x. Now, divide each side by 45 to isolate the x. 45x/45 cancels out. 8,600/45 is 191.1111111 or 191 1/9 in fraction form. There. x = 191 1/9 86 is 45% or 191 1/9

Note: Or, if you have to round to the nearest whole number, the answer is 191, or if you have to round to the nearest tenth, the answer is 191.1. It all depends on if the answer needs to be rounded or exact.
4 0
3 years ago
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