Solve 4 - 2(-5a - 10)=30 and justify each step

1 answer:

5 0

First you would do parenthesis according to the PEMDAS(Parenthesis, Exponents, Multiply, Divide, Add, Subtract) Rule

4 -2(-5a -10) = 30

4 + 10a + 20 = 30

Now you need to add 4 and 20 because they are on the same side

24 + 10a = 30

Now subtract 24 on both sides

24 + 10a = 30

-24. -24

10a = 6

Last divide 10 from both sides

10a/10. = 6/10

a= 6/10

Last simplify (optional but recommended)

a = 3/5 or 0.6

Hope this helped :)

A = 0.6

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Elena L [17]

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2 years ago

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Alex777 [14]

Answer:

1. A. 1

2. D. $17^9$

Step-by-step explanation:

Properties used:

Power of a Power Property
Product Property
Quotient Property
Zero Exponent Property

1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.