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il63 [147K]
3 years ago
14

Yancy is 2 years older than 3 times her younger sister’s age. Her younger sister is 6 years old. How old is Yancy?

Mathematics
1 answer:
dexar [7]3 years ago
8 0
To solve for this, let's rewrite the question into an equation. As we do that, I'll write in parenthesis the translation of the question.

Yancy (Y) is (=) 2 years older than 3 times her younger sister's age (3S + 2). Her younger sister (S) is (=) 6 years old (6).

Let's rewrite only our parenthesis.

Y = 3S + 2
S = 6

Now that we have written our equation, let's solve.
Yancy's younger sister is 6, so plug 6 into the equation "3S + 2" for S.

3(6) + 2
3(6) means to multiply 3 by 6.
3(6) = 18
18 + 2 = 20

Yancy is 20 years old.

Your answer is C.) 20.

I hope this helps!
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3 years ago
4. The area of a rhombus with one diagonal is 8.72 cm long is the same as the area of a square of side 15.6 cm. Find the length
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Answer:

55.82 cm

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d1= 8.72 cm

a= 15.6 cm

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Simplify and leave in radical form. <br> 8√x^2 y^6
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Step-by-step explanation:

\sqrt[8]{ {x}^{2}  {y}^{6} }  \\  \\  = ( {x}^{2} {y}^{6}  )^{ \frac{1}{8} }  \\  \\  =  {x}^{2 \times \frac{1}{8}} {y}^{6\times \frac{1}{8}}  \\  \\  = x^{\frac{1}{4}} {y}^{3\times \frac{1}{4}}  \\  \\   = x^{\frac{1}{4}} {y}^{\frac{3}{4}}  \\  \\   =  \sqrt[4]{x {y}^{3} }  \\

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3 years ago
You unfold chicken wire to make a circular pen. The area of the pen is 78.5 square meters. How many meters of chicken wire do yo
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So 78.5 = pi(r^2). Divide by pi on both sides to get r^2 = 78.5/pi. Take the square root of that to get r or radius = approximately 4.99. If you need an exact answer then use \sqrt{ \frac{78.5}{ \pi } } for the next part because you are not done yet.

Plug whatever R you use into the circumference formula of Circumference = 2(pi)(r).

If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)(\sqrt{ \frac{78.5}{ \pi} }) which gives you approximately 31.41. 

Either way you'll need about 31 meters of chicken wire but the 31.40796 or ~31.41 is closer to the exact answer. 
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