$\bf 32^{2c}=8^{c+7}~~ \begin{cases} 32=2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^5\\ 8=2\cdot 2\cdot 2\\ \qquad 2^3 \end{cases}\implies (2^5)^{2c}=(2^3)^{c+7} \\\\\\ 2^{5(2c)}=2^{3(c+7)}\implies \stackrel{\textit{if the bases are the same, then so are the exponents}}{5(2c)=3(c+7)\implies 10c=3c+21} \\\\\\ 7c=21\implies c=\cfrac{21}{7}\implies c=3$

3 0

2 years ago

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2 Charlie makes $34 an hour and will get a 20% raise starting next week. Choose True or False

Alex_Xolod [135]

Answer:

Step-by-step explanation:

1 False

2 True

3 False

4 false

lol that was ezy

8 0

2 years ago

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The equation y=7.6x represents a proportional relationship. What is the constant of proportionality?

SCORPION-xisa [38]

I’m not too sure fam

8 0

2 years ago

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a tennis player hits a serve that cannot be returned 45 percent of the time. Out of 300 serves, how many can yiu predict will no

lubasha [3.4K]

Remember that 45%=45/100=0.45

So if the tennis player serves the ball 300 times, and 45% cannot be returned, then we can use the following expression to solve for the answer:

300*0.45=135serves

Answer: 135 serves will not be returned

4 0

3 years ago