Answer:
He has 60 paper clips before giving some away.
Step-by-step explanation:
Before : 5x : 3x
After: 5x - 12 = 3x + 12
5x - 12 = 3x + 12
First, we need to take away the smallest value of x from the largest.
-3x
2x - 12 = 12
Then, we need to add +12 to get rid of -12 on the lefthand side.
2x = 24
Divide by 2 to get x on its own.
x = 12
Bert had 5x so we need to multiply x (what we found as 12) by 5. 12 x 5 = 60. Bert had 60 paper clips before he gave some away.
We can prove this answer as correct, too.
5 x 12 = 60
3 x 12 = 36
60 - 12 = 36 + 12
48 = 48
Hope this helps, have a good day. :D
Answer:
To be honest, I'd like to tell my parents that my civics project is more boring than I thought...
Step-by-step explanation:
(lol)
Step-by-step explanation:
2(x+10)=60
x+10=60/2
x=30-10=20
Answer:
c) 50
Step-by-step explanation:
We have been given that the mean life of a particular brand of light bulb is 1200 hours. About 95% of this brand of bulbs will last between 1100 and 1300 hours.
We will use z-score formula to solve our given problem.
, where,
,
,
,

We know that 95% of data points lies within two standard deviation of mean, so 1100 will correspond to a z-score of -2 and 1300 will correspond to a z-score of 2.




We can use sample score 1300 and get same answer as:




Therefore, the standard deviation of the light bulbs’ life is 50 years.