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Andrew [12]
3 years ago
11

How many 3 3/4 inch wires can be cut from a spool if wire that is 100 inches how much will be left over

Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0

How many 3\frac{3}{4} wires can be cut from a spool of wire that is 100 inches long?

How many inches will be left over?

Number of pieces of wires = length of spool of wire ÷ length of each piece of wire.

Number of pieces = 100 ÷ 3\frac{3}{4} = 100 ÷ \frac{15}{4}

That gives \frac{100 * 4}{15}

Simplifying gives \frac{400}{15} = \frac{80}{3}

This is equivalent to 26\frac{2}{3} pieces

So 26 pieces of wires can be cut from a spool and \frac{2}{3} of a piece will be left over.

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What is the answer of the problem; <br> 3x-4+2(x-5)=9x+8-2x
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Answer:

The answer to the given problem 3x-4+2(x-5)=9x+8-2x is x=-11

Step-by-step explanation:

Given problem is 3x-4+2(x-5)=9x+8-2x

To solve the equation:

3x-4+2(x-5)=9x+8-2x

3x-4+2x-10=9x+8-2x  (multiplying the term with factor)

5x-4-10=7x+8  (adding the like terms)

5x-14=7x+8  (adding the like terms)

Now taking the terms to one side

5x-14-7x-8=0

-2x-22=0 (adding the like terms)

-2x=22

-x=\frac{22}{2}

-x=11

x=-11

Therefore x=-11

The answer to the given problem 3x-4+2(x-5)=9x+8-2x is x=-11

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