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galina1969 [7]
3 years ago
13

If Taylor has 2 times as many nickels as quarters and they have a combined value of 245 cents, how many of each coin does he hav

e?
Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

Taylor has 14 Nickels and 7 Quarters

Step-by-step explanation:

A nickel is equivalent to 5 cent while a quarter is equivalent to 25 cents.

If the number of nickels Taylor has is 2x then the number of quarters is x

Given that the total value is 245 cents,

5(2x) + 25x = 245

10x + 25x = 245

35x = 245

x = 7, 2x = 2 × 7 = 14

It means Taylor has 14 Nickels and 7 Quarters

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angle 1 and 3 are corresponding angles that menas they equal the same

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2 years ago
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At a party of 102 people,17 lb of potato salad is served. a. Write and solve an equation to find how many people each pound of p
Novay_Z [31]

Each pound of potato salad serves 6 people and the average number of pounds of potato salad that each person is served will be \frac{1}{6} pound.

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<u>a.</u>  Suppose, each pound of potato salad is served to x number of people.

So, 17 pounds of salad is served to (17*x) or 17x number of people. That means......

17x= 102\\ \\ x= \frac{102}{17}=6

So, each pound of potato salad is served to 6 people.


<u>b.</u>  Suppose, the average number of pounds of potato salad that each person is served is  y

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102y= 17\\ \\ y= \frac{17}{102}= \frac{1}{6}

So, the average number of pounds of potato salad that each person is served will be  \frac{1}{6} pound.

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Step-by-step explanation:

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8_murik_8 [283]

Answer: y = -3

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<u></u>-20 + 5y + -14y = 7 + 14y + -14y<u></u>

<u></u>

<u>Combine like terms: 5y + -14y = -9y </u>

<u></u>-20 + -9y = 7 + 14y + -14y<u></u>

<u></u>

<u>Combine like terms: 14y + -14y = 0 </u>

<u></u>-20 + -9y = 7 + 0\\-20 + -9y = 7<u></u>

<u></u>

<u>Add '20' to each side of the equation</u>

<u></u>-20 + 20 + -9y = 7 + 20<u></u>

<u></u>

<u>Combine like terms: -20 + 20 = 0 </u>

<u></u>0 + -9y = 7 + 20\\-9y = 7 + 20<u></u>

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<u>Combine like terms: 7 + 20 = 27 </u>

<u></u>-9y = 27<u></u>

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<u>Divide each side by -9</u>

<u></u>-9y/9=27/-9\\y=-3<u></u>

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3 years ago
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