pam uses 1 half cup of milk for each milkshake if she makes 18 milk shakes how many cups of milk does she use

1 answer:

5 0

I am not going to give you the answer, but I am going to tell you how to do it. You first put 18 over 1, and multiply that by one half. (You multiply across.)

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Employees at The Shoe Shack get a 25% discount when they buy a pair of shoes at the store.

Amiraneli [1.4K]

Answer: Theo bought a pair of shoe for 36$

Step-by-step explanation:

25% = 0.25

48.00 * 0.25 = 12.00

48.00 - 12.00 = 36.00

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3 years ago

Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

$\frac{3^{n+4} - 3^n}{16}$

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

$\frac{3^{n+4} - 3^n}{16}$ becomes

$\frac{3^n * 3^4 - 3^n}{16}$

Factorize

$\frac{3^n(3^4 - 1)}{16}$

$\frac{3^n(81 - 1)}{16}$

$\frac{3^n(80)}{16}$

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

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2 years ago

Solve the following 3+X=7

trapecia [35]

Answer:

x = 4

Step-by-step explanation:

3 + x = 7 ( isolate x by subtracting 3 from both sides )

x = 7 - 3 = 4

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1 year ago

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