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Inessa [10]
3 years ago
10

Which expression is equivalent to 3n + 2(1 - 4n)

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

2 - 5n

Step-by-step explanation:

3n + 2(1 - 4n)

= 3n + 2 - 8n

= 2 - 5n

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natta225 [31]

Answer:

25

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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
What is 156% of 820? Round to the nearest hundredth (if necessary).
kramer
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3 0
4 years ago
Read 2 more answers
C
lapo4ka [179]

Answer:

1. The data value must be less than the mean.

7 0
2 years ago
Mark is 3 years older than Jane. In 4 years, Mark will be 3/2 as old as jane. How old is Mark now?
marishachu [46]
Mark is 5 years old now
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