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ioda
3 years ago
14

How do I do this problem??

Mathematics
1 answer:
Crank3 years ago
5 0
Expanding 8x^3, we multiply 8*8 and x^3 by x^3 to get 64x^6. Since we know that the cube root of 64 is 4, we can separate that. Next, since you add exponents while multiplying, 6/3 is the exponent for the cube root of x^6=x^2. Therefore, your answer is 4x^2
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5/8 of the prizes at the giant spin were dolls. If there were 64 prizes , how many prizes were not dolls ?
inna [77]
First you find how many prizes were dolls. Then you subtract that number from 64.


5 0
4 years ago
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Mariana [72]

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3 years ago
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Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 8% a
crimeas [40]

a  =  total amount invested at 5%

b = total amount invested at 8%

we know 5% was earned in interest from "a", so that'd be (5/100) * a or 0.05a.

we know 8% was earned in interest from "b", so that'd be (8/100) * a or 0.08b.

we also know that the total for both is 1000, a + b = 100.

\begin{cases} a + b = 1000\\ 0.05a+0.08b=65 \end{cases}\qquad \qquad \stackrel{\textit{since we know}}{a+b=1000}\implies b = 1000-a \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.05a+0.08(100-a)=65}\implies 0.05a+80-0.08a=65 \\\\\\ -0.03a+80=65\implies -0.03a=-15\implies a=\cfrac{-15}{-0.03}\implies \boxed{a = 500} \\\\\\ \stackrel{\textit{we know that}}{b = 1000-a}\implies b=1000-500\implies \boxed{b = 500}

7 0
3 years ago
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The roots of x(x-1) = 0 are x = 0 and x = 1.<br> O True<br> O False
grandymaker [24]

Answer: True

Step-by-step explanation:

To find the roots, you set each x equal to 0.

x=0

x-1=0

x=1

7 0
4 years ago
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