Answer:
The Tempature dropped 18 degrees Fahrenheit is 6 hours
We know that 5 days and 12 hours is as much as 5.5 days, so all we need to do is to multiply 1800 watt-hours by 5.5 days:
1800 * 5.5 = 9900
Answer: <u>A light bulb consumes 9900 watt-hours each 5 days and 12 hours</u>.
We will call:
M=Mari
J=Jen
Initial equations:
M=2J
M+J=480
(the fact that they work 20 hours a week is not needed in this problem information)
Plug in:
2J+J=480
3J=480
J=160
Jen makes $160 a week.
Therefore:
M=2J
M=2(160)
M=320
Mari makes $320 per week
Jen makes $160 per week
Right side:
(1/27)^(2x+10)
=(3^-3)^(2x+10)
= 3^(-6x - 30)
Re-write both sides:
3^(4x-5) = 3^(-6x - 30)
from here, you can solve x
4x - 5 = -6x - 30
4x + 6x = -30 + 5
10x = -25
x = -2.5
