Answer:
s ≥ 911
Step-by-step explanation:
Let
s = number of cans Shane could collect
Abha collected 178 more cans than Shane did.
Abha = s + 178
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling
Number of cans collected by Shane + number of cans collected by Abha ≥ 2000
s + 178 + s ≥ 2000
2s + 178 ≥ 2000
2s ≥ 2000 - 178
2s ≥ 1,822
Divide both sides by 2
s ≥ 1,822 / 2
s ≥ 911
Answer: D
Step-by-step explanation:
-67 = d + -18 Add 18 to both sides
-49 = d Switch the sides to make it easier to read
d = -49
Answer:
The faster computer will complete the job in 20 minutes alone.
Step-by-step explanation:
Given that:
Time taken by both computers = 12 minutes
Time taken by slower computer = 30 minutes
Let,
x be the time taken by faster computer.
![\frac{1}{x}+\frac{1}{30} = \frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7B30%7D%20%3D%20%5Cfrac%7B1%7D%7B12%7D)
![\frac{1}{x} = \frac{1}{12}-\frac{1}{30}\\\\\frac{1}{x} = \frac{5-2}{60}\\\\\frac{1}{x} = \frac{3}{60}\\\\\frac{1}{x} = \frac{1}{20}\\\\x= 20](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B12%7D-%5Cfrac%7B1%7D%7B30%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B5-2%7D%7B60%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B3%7D%7B60%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B20%7D%5C%5C%5C%5Cx%3D%2020)
Hence,
The faster computer will complete the job in 20 minutes alone.
Every hour is 60 minutes, there is 43 minutes before 12:00, and 155 minutes after 12:00
43 + 155 = 198
He was at the museum for 198 minutes, or 3 hour and 18 minutes.