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alexgriva [62]
3 years ago
12

Which values of a, b, and c correctly represent the answer in simplest form? 3 and one-half divided by 2 and one-fourth = a Star

tFraction b Over c EndFraction a = 1, b = 5, c = 9 a = 10, b = 18, c = 1 a = 9, b = 5, c = 1 a = 1, b = 10, c = 18
Mathematics
2 answers:
Naya [18.7K]3 years ago
8 0

Answer:

(A) a=1,b=5,c=9

Step-by-step explanation:

sasho [114]3 years ago
4 0

Answer:

(A) a=1,b=5,c=9

Step-by-step explanation:

We want to simplify 3\frac{1}{2} \div 2\frac{1}{4} for values of a, b and c which satisfies: a\dfrac{b}{c}

3\dfrac{1}{2} \div 2\dfrac{1}{4}\\\text{Changing each fraction to improper fraction}\\=\dfrac{7}{2}\div \dfrac{9}{4}\\\text{Next, we change the division sign to multiplication by taking reciprocal of the second fraction}\\=\dfrac{7}{2}X \frac{4}{9}\\=\dfrac{7X4}{2X9}\\=\dfrac{28}{18}\\Converting our result to mixed fraction

\dfrac{28}{18}=1\dfrac{10}{18}=1\dfrac{5}{9}\\a=1,b=5,c=9

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James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20. James has dimes
SashulF [63]

The question is incomplete:

James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?

a. $10.00

b. $6.20

c.$15.50

d.$25.00

Answer:

d.$25.00

Step-by-step explanation:

With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:

x+y=162 (1)

0.10x+0.25y=31.20 (2), where:

x is the number of dimes

y is the number of quarters

First, you can solve for x in (1):

x=162-y (3)

Then, you have to replace (3) in (2) and solve for y:

0.10(162-y)+0.25y=31.20

16.2-0.10y+0.25y=31.20

0.15y=31.20-16.2

0.15y=15

y=15/0.15

y=100

Finally, you have to replace the value of y in (3) to find x:

x=162-100

x=62

Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:

100*0.25=25

According to this, the answer is that James has $25 in quarters.

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3 years ago
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Serggg [28]

Answer:

y = x - 1

is the equation

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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mr_godi [17]

Answer:

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I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out !

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3 years ago
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