Answer: For the sum of 130
First: $90
Second: $40
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=130 since their sum is 130.
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=130, rearrange to b=130-a and substitute into 15a+5b=1550.
15a + 5 (130-a)=1550
15a+650-5a=1550
10a+650-650=1550-650
10a=900
a=$90 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
90+b=130
90-90+b=130-90
b= $40 was charged by the second mechanic
Answer: I'm guessing it would be a parabola, with the line going through -6 on the y-axis and passing through 2 and 6 on the x-axis, but we cannot see any answers, so therefore we can't answer it accurately.
Step-by-step explanation:
The flow velocity measured as in/min at the meter is 5924.13 in/min
<h3 /><h3>Volumetric flow rate</h3>
We know that the volume flow rate Q = Av where
- A = cross-sectional area of pipe and
- v = flow velocity
Now, Q = 18 gal/min
Converting this to in³/min, we have
Q = 18 gal/min = 18 × 1 gal/min = 18 × 231 in³/min = 4158 in³/min
A = πd²/4 where d = diameter of pipe = 1.0 in.
<h3 /><h3>Flow velocity, v</h3>
Since Q = Av, making v subject of the formula, we have
v = Q/A
v = 4Q/πd²
Substituting the values of the variables into the equation, we have
v = 4Q/πd²
v = 4 × 4158 in³/min ÷ π × (1.0 in)²
v = 16632 in/min ÷ π
v = 5924.13 in/min
So, the flow velocity measured as in/min at the meter is 5924.13 in/min
Learn more about flow velocity here:
brainly.com/question/15648466
Answer:
$22.5
Step-by-step explanation:
Jim gets 9*2.5= $22.5
