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MAXImum [283]
3 years ago
14

There are 34 empty seats and 16 occupied seats. What is the ratio of empty to occupied seats? a) 34 to 16 b) 17 to 8 c) 8 to 17

d) 17 to 25
Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Ratio means comparison, so we have to compare the two given examples, in this state empty and occupied.

one of the most important things to look for during ratios is what comes first. In this statement it says empty to occupied, not occupied than empty/.

if we know that empty is 34 and occupid is 16 than we know our answer is A

Please mark me branliest.

Have a great day!

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18<br> 8<br> 13<br> 7<br> Find the area of the white granite area in the picture above.
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Prove divisibility 45^45·15^15 by 75^30
Anuta_ua [19.1K]

Answer:

3^{75}

Step-by-step explanation:

We are asked to divide our given fraction: \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}=(3*15)^{45}=3^{45}*15^{45}

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

Substituting these values in our division problem we will get,

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

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

\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}

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

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

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

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

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

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

\frac{3^{45}*3^{30}*5^{30}}{5^{30}}

Upon canceling out 5^{30} we will get,

3^{45}*3^{30}

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

3^{45+30}

3^{75}

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

8 0
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