Answer:
-57
Step-by-step explanation:
![log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57](https://tex.z-dn.net/?f=log%20%5Cfrac%7B%20%7Bc%7D%5E%7B7%7D%20%7D%7B%20%7Ba%7D%5E%7B6%7D%20%7Bb%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20log%20%7Bc%7D%5E%7B7%7D%20%20%20-%20log%28%20%7Ba%7D%5E%7B6%7D%20%7Bb%7D%5E%7B2%7D%20%29%20%20%5C%5C%20%20%5C%5C%20%20%3D%20log%20%7Bc%7D%5E%7B7%7D%20%20%20-%20%28log%20%7Ba%7D%5E%7B6%7D%20%2B%20%20log%7Bb%7D%5E%7B2%7D%20%29%5C%5C%20%20%5C%5C%20%20%3D%207%20%5C%3A%20log%20%7Bc%7D%20%20%20-%20%286%20%5C%3A%20log%20%7Ba%7D%2B%20%202%20%5C%3A%20log%7Bb%7D%29%5C%5C%20%20%5C%5C%20%20%3D%207%20%5C%3A%28%20-%209%29%20-%20%5B6%20%5C%3A%20%28%20-%205%29%2B%20%202%20%5C%3A%20%2812%29%5D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%2063%20-%20%5B%20-%2030%20%2B%2024%5D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%2063%20-%20%5B-%206%5D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%2063%20%2B%206%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%2057)
Answer:
69, 36, 39, 87.5
Step-by-step explanation:
Answer no. 5
60/100×15=9
60+9=69
Answer no. 6
32/100×12.5=4
32+4=36
Answer no. 7
50/100×22=11
50-11=39
Answer no. 8
125/100×30=37.5
125-37.5=87.5
Answer:
Well figure it out yourself because you need to not fall asleep in class. It has happened to me before and I had to control myself!!
Step-by-step explanation:
To determine the amount of gold plating necessary for the similar box, you will use the fact that it is 8 times larger in volume to determine how many times larger the area is. This would be what you will multiply $125 by.
Volume is a three dimensional measurement, so the fact that it is 8 times larger tells us each dimension was 2 times larger (2 x 2 x 2=8).
Area is a two dimensional measurement, so the area would have been 2 x 2 or 4 times larger. This means the price would be 4 times as much.
$125 x 4 = $500.
It will cost $500 to gold plate the similar jewelry box.
