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3 years ago

Which statements are true when verifying the solution set of |6-x/3|>18

Mathematics

1 answer:

Greeley [361]3 years ago

4 0

Answer:

B, C, D, F

Step-by-step explanation:

i took the test :)

hope this helps!

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Prove the divisibility:<br><br>45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

$75^{30}=(15*5)^{30}=15^{30}*5^{30}$

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}$

$\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}$

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

7 0

3 years ago

Doña Mercedes' debt can be paid in 32 weeks, as long as $ 50 is paid in the first week, $ 80 in the second week, $ 110 in the th

KengaRu [80]

Answer:

Step-by-step explanation:

that is all

8 0

3 years ago

Match each equation to its solution.

astra-53 [7]

Good job you got it right! But others won’t be able to find it because you have a basic writing for it. Next time put the actual equations on so others can find it!

4 0

3 years ago

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In which area of the diagram does the number −11 belong?

vesna_86 [32]

Integers and Rational Numbers, it is because if -11 is a Integer, it also has to be a Rational number. But your actual answer is Integers.

8 0

3 years ago

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Help me plz<br> Write a phrase as an algebraic expression when n = the number. (a number minus 4)

Blizzard [7]

Answer:

n-4

Step-by-step explanation:

n= the number

a number minus 4

n-4

5 0

3 years ago

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