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NeX [460]
2 years ago
6

A 9-foot piece of ribbon costs $20.07. What is the price per yard?

Mathematics
1 answer:
natka813 [3]2 years ago
8 0

The price per yard of the ribbon is $6.69

<h3>Conversion of foot to yard</h3>

First, we will need to convert  9 foot to yards as shown;

9 foot = 3 yards

This shows that a 3 yard piece of ribbon costs $20.07, the price per yard is expressed as;

Price per yard = 20.07/Total yard

Price per yard = 20.07/3

Price per yard = 6.69

Hence the price per yard of the ribbon is $6.69

Learn more on unit rate here; brainly.com/question/19493296

#SPJ1

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Read 2 more answers
Which expressions are polynomials? Select each correct answer.
lilavasa [31]
Here's an example

<span>Simplify by collecting like terms: 4(<span>x2y  </span>+ 7y) – 5y(3<span>x2 </span>– y) – 10y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y </span>

<span>Correct. 4(<span>x2y  </span>+ 7y) – 5<span>y(3x2 </span>– y) – 10y = 4<span>x2y + </span>28y – 15<span>yx2</span> + 5<span>y2 – </span>10y = 4<span>x2y + </span>18y – 15<span>yx2</span> + 5<span>y2 </span>= −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y </span>

<span>Incorrect. The 4 is distributed to both terms in the parentheses by multiplying each term by 4 resulting in 28y, not 11y. The −5y is similarly distributed to each term in the parentheses, resulting in −15<span>yx2 + </span>5<span>y2. </span>The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

<span>Incorrect. This polynomial can be further simplified by combining the like terms 4<span>x2y </span>and −15<span>yx2. </span>The order of the variables in a term does not matter. The correct answer is </span>

−<span>11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y </span>

<span>Incorrect. Before combining like terms, you must distribute to clear the parentheses. The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

 


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