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ryzh [129]
2 years ago
15

Robert and his coworkers brought 11 work trucks to a service station for oil changes. While there they also put 6 gallons of gas

into each vehicle. The cost of gas was $3.52 a gallon. The total bill was $694.32. What was the cost of an oil change for 1 truck?
Mathematics
1 answer:
Free_Kalibri [48]2 years ago
7 0

Answer:

The cost of an oil change for 1 truck was $42

Step-by-step explanation:

Let

x -----> the cost of an oil change for 1 truck

y -----> the cost of gas for 1 truck

z ----> the total bill

we know that

z=11[x+y]

we have

z=\$694.32

y=(6)(3.52)=\$21.12

substitute and solve for x

694.32=11[x+21.12]

x=(694.32/11)-21.12

x=\$42

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Molly was on a long 136 mile road trip. The first part of the trip there was lots of traffic, she only averaged 16 mph. The seco
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Answer:

In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

Explanation:

Given that the road trip was 136 miles;

d=136

The first part of the trip there was lots of traffic, she only averaged 16 mph;

v_1=16

The second part of the trip there was no traffic so she could drive 44 mph;

v_2=44

She traveled for a total of 5 hours;

t=5

let x represent the time in traffic when she traveled at 16 mph

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the time the traffic is clear would be;

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Recall that distance equals speed multiply by time;

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solving for x;

\begin{gathered} 136=16x+220-44x \\ 44x-16x=220-136 \\ 28x=84 \\ x=\frac{84}{28} \\ x=3 \end{gathered}

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\begin{gathered} t_1=3\text{ hours} \\ t_2=5-x=5-3=2 \\ t_2=2\text{ hours} \end{gathered}

Therefore, In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

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