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polet [3.4K]
3 years ago
8

Lucy has 4 inches of ribbon that she wants to cut into 6 equal sized pieces. What is true about the length of each piece of ribb

on. A) each piece has 6/4 inches of ribbon B) each piece has 1/4 of 6 inches of ribbon C) each piece has 1/6 of 4 inches of ribbon
Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:

Option C

Step-by-step explanation:

Given

Total length of ribbon lucy has=4 inches

She wants to divide it into 6 equal sized pieces so  

Length of each piece=4/6

This can also be written as:

Length of each piece=4*(1/6 )

Now we will look at the options one by one:

For A, Each piece has 6/4 inches of ribbon.. This statement is not true as we have to divide 4 inches into 6 pieces so 4 is supposed to be in the numerator.

For B, breaking down 4/6 gives us 4*(1/6), so the statement is not true.

For C , as we can see that the expression is 4*(1/6), each piece will have 1/6 of inches of ribbon.

So option C is the correct answer..

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Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}

\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}

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