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astra-53 [7]
3 years ago
8

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Distributive property means that you must multiply the number directly outside the parentheses to all the numbers inside the parentheses

Look at the image below for the work!

Hope this helped!

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Studentka2010 [4]

Answer:

3 US galloons

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2 years ago
What fraction of the Hexagon is shaded?
irga5000 [103]
64.8%. 12 times 10 is 120. 3 times 4 is 12 so the total area is 108. 108 divided by 100 is 1.08 times 60 is 64.8%
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3 years ago
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5(3+t)-3(t+1) I don't understand how to do this problem.
shtirl [24]
Okay, just break it up so you're not overwhelming yourself or anything :)
So here, do it in steps-

Let's do 5(3 + t) first:
Distribute the 5, or in non-mathematical terms, just multiply 5 by 3 and t. This will give you 15 + 5t.

Now onto -3(t + 1):
Again, just multiply -3 by t and 1. This will come out to: -3t - 3.

*Note: the 3 is negative because it's "MINUS 3" in the original equation and remember that any number times a negative, if it isn't negative itself, will turn out to be negative.... (aka "-" x "-" = "+" | "+" x "+" = "+" | "-" x "+" = "-")*

ANYWAY
Now just put both answer together and you get:
15 + 5t -3t - 3. You can only add and minus the LIKETERMS (which are the things that are the same) - in this case, the liketerms are 15 and -3 ,,,, AND 5t and -3t.

15 - 3 = 12
5t - 3t = 2t

12 + 2t is your final answer. Hope that helps! :)
7 0
3 years ago
If the simple interest on ​$1000 for 2 years is ​$​100, then what is the interest​ rate?
iogann1982 [59]

Answer:

R = 450%/year

Equation:

r = (1/t)(A/P - 1)

Converting r decimal to R a percentage

R = 4.5 * 100 = 450%/year

4 0
2 years ago
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Which number produces an irrational number when multiplied by 1/3
MArishka [77]

We can simply observe that.

  1. 0.777... is rational, because it is a number with infinite but repeating decimal part.
  2. 1/3 is rational, because it's the division between two integers
  3. -\sqrt{16}=-4, so this is rational as well.

Since the product of two rational numbers is always rational, we have that

0.\bar{7}\cdot \dfrac{1}{3},\quad \dfrac{1}{3}\cdot \dfrac{1}{3},\quad -4\cdot \dfrac{1}{3}

are all rationals, since they are the product of two rationals.

On the other hand, we have

\sqrt{27}=\sqrt{9\cdot 3}=3\sqrt{3}

and thus

3\sqrt{3}\cdot \dfrac{1}{3}=\sqrt{3}

which is irrational.

3 0
3 years ago
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