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dybincka [34]
3 years ago
12

The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.

Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0
Thank you for posting your question here. Please see below answers for the problem above:

a. to find the circumference of the tire you need to multiply 3.14 by 2.5:
 = 3.14 x 2.5
 = 7.85 to round of it will be 8

b. to get the number of times the tire have to rotate to travel 1 mile:

1 mile = 5,280 ft
1 rotation is 7.85 
5,280/7.85 = 672.611465
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3 years ago
Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,
gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

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From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

q\geq 10.2

Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0
2 years ago
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