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3 years ago

If a car travels 287 miles in 3 hours and 30 minutes what is the average miles per hour that they traveled

1 answer:

6 0

It's simple just divide the total Miles traveled by the total hours;

287 m ÷ 3.5 (it's 3.5 because 30 mins is half of an hour)

$\frac{287 miles}{3.5 hours}$ = 82 miles per hour

So your final answer would be 82 miles per hour :)

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4 years ago

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Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quart

Oliga [24]

Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

Max has $5.50.
He has eight more quarters than he does nickels.
He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call $q$ quarters, $n$ nickels and $d$ dimes.

$q=n+8$ (8 more quarters than nickels)

$d=4n$ (he has four times as many dimes as he has nickels).

$0.25q+0.05n+0.10d=5.50$ (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

$0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5$

There are 5 nickels.

Now, we use this value to find the number of quarters

$q=5+8=13$

There are 13 quarters.

Also, $d=4(5)=20$

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

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