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4 years ago

14

Steven added a number to one-sixth. Will subtracted the same number from one and two-thirds. They each got the same answer. What

is the number ?

1 answer:

White raven [17]4 years ago

6 0

Answer:

x=3/4

Step-by-step explanation:

Set up an equation:

1/6+x=1 2/3-x

1/6+x=5/3-x

1/6+x=10/6-x

2x=9/6

2x=3/2

4x=3

x=3/4

Check:

common denominator of 12

2/12+9/12=11/12 AND 20/12-9/12=11/12

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Because you follow wherever the evidence leads you.

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Darlene has a balance of $3980 on a credit card with an APR of 22.8%. Paying off her balance in which of these lengths of time w

inna [77]

Answer:

The correct answer is D. 5 months

Step-by-step explanation:

Balance = P = $3980

Rate (r) = 22.8% ,

n is no. of times interest is calculated in one year n = 1

$Interest=P\cdot (1+\frac{r}{n\times 100})^{n\times time}\\\\\textbf{time = t = 8 months = }\frac{8}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{8}{12}}\\\\Interest=3980\times 1.228^{\frac{8}{12}}\\\\\implies Interest=\$\thinspace 4564.03\\\\\textbf{time = t = 6 months = }\frac{6}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{6}{12}}\\\\Interest=3980\times 1.228^{\frac{6}{12}}\\\\\implies Interest=\$\thinspace 4410.44$

$\textbf{time = t = 9 months = }\frac{9}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{9}{12}}\\\\Interest=3980\times 1.228^{\frac{9}{12}}\\\\\implies Interest=\$\thinspace 4642.82\\\\\textbf{time = t = 5 months = }\frac{5}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{5}{12}}\\\\Interest=3980\times 1.228^{\frac{5}{12}}\\\\\implies Interest=\$\thinspace 4335.60$

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So, Correct Option is D. 5 months

3 0

3 years ago

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fiasKO [112]

Answer:

1/3 ( 5y-2) = x

Step-by-step explanation:

5y = 3x+2

Subtract 2 from each side

5y -2 = 3x+2-2

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Divide each side by 3

1/3 ( 5y-2) = 3x/3

1/3 ( 5y-2) = x

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3 years ago

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Soloha48 [4]

15 + 39 + 22 + 16

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3 years ago

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mixas84 [53]

Answer:

Step-by-step explanation:

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