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lozanna [386]
2 years ago
9

A spool of rope contains 65 yards of rope. How many​ 4-foot pieces of rope can be cut from the​ spool? How much rope is left​ ov

er?
Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
5 0
So there is 65 yards and one yard is 3 feet so you multiple 65 by 3 which is 195 . Then you divide by 4 as you have to see how many four foot pieces can be cut which you end up with 48.75 which means that you can have 48 four foot pieces. So since you have 48 four foot pieces you multiply 48 by 4 and you have 192 and if you subtract 195 which is how many feet there is in the 65 yards you get three feet and that is how much of the rope that is left over.
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Simplify the expression. -2/3c -9/5 + 14c + 3/10
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Answer:

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Step-by-step explanation:

We want to combine alike terms so

-2/3c+14c & -9/5+3/10

14c-2/3

\frac{14}{1} c -  \frac{2}{3} c

Multiply 14/1 by 3/3 to get the denominators the same

\frac{42}{3} c -  \frac{2}{3} c

Subtract

\frac{40}{3} c

simplify

13 \frac{1}{3} c

now

\frac{3}{10}  -  \frac{9}{5}

Multiply 9/5 by 2/2

\frac{3}{10}  -  \frac{ 18}{10}

Subtract

- \frac{15}{10}

Simplify

- 1 \frac{1}{2}

put both together

13 \frac{1}{3}c  - 1 \frac{1}{2}

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

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2 years ago
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hichkok12 [17]
We have the following remark
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the common ratio of the sequence is 1.5
the sum of the five terms of the sequence is 
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3 years ago
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Answer:

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Step-by-step explanation:

(3 * 4) + (1.5^2 * pi)/2 = 12 + 3.53 = 15.53 sq inches

3 + 4 + 4 + (2pi * 1.5)/2 = 15.71 inches

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