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padilas [110]
3 years ago
14

Jacks Car averages 31.5 miles on the highway per gallon. If his fuel tank holds 13.2 gallons and it is 3/4 full then how far can

he travel on the highway on his tank of gas?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Answer:

311.85 miles

Step-by-step explanation:

Fuel tank holds 13.2 gallons and is 3/4 full, therefor the actual amount of fuel Jack has=(3/4)×13.2 gallons=9.9 gallons

The car travels 31.5 miles per gallon, 31.5 miles= 1 gallon

Then 9.9 gallons will take him for= (31.5×9.9) miles= 311.85 miles

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Bob has two weekend jobs last weekend he made a total of $77 after working as a cashier for 5 hours and delivering newspapers fo
OlgaM077 [116]

Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

Step-by-step explanation:

1. Let's call the amount he got paid per hour at his job as a cashier: x.

Let's call the amount he got paid per hour at his job delivering newspapers: y.

2. Keeping on mind the information given in the problem above, you can make the following system of equations:

\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.

3. You can solve it by applying the Substitution method, as following:

- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.

- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.

 4. Therefore, you have:

5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y

Then:

6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8

Finally:

5x+4(8)=77\\5x+32=77\\5x=45\\x=9

Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

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the answer is

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