Answer:
First: $65
Second: $115
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=180 since their sum is 180.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=180, rearrange to b=180-a and substitute into 15a+5b=1550.
15a + 5 (180-a)=1550
15a+900-5a=1550
10a+900-900=1550-900
10a=650
a=$65 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
65+b=180
65-65+b=180-65
b= $115 was charged by the second mechanic
Answer:
2x +12
Step-by-step explanation:
-4x + 6x -12
The distance between the two points is 22.14 units
<h3>How to determine the distance between the two points?</h3>
The endpoints of the line segment are given as
(4,9) and (11, -12)
This can be rewritten as
(x, y) = (4,9) and (11, -12)
The distance between the endpoints of the segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (4,9) and (11, -12)
Substitute the known values in the above equation, so, we have the following representation
Distance = √[(4 - 11)² + (9 + 12)²]
Evaluate
Distance = 22.14
Hence, the distance is 22.14 units
Read more about distance at
brainly.com/question/7243416
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Answer:
Step-by-step explanation:
The explanation is given in the attached picture below
Answer: B
Step-by-step explanation: