I've been waiting for someone to ask this question. It's one of my favorite questions to answer.
percent means out of 100 so 1% = 1/100 and 40%=40/100 or 1/25
so for percent of a number, 'of' means multiply so 40% of 500= 40/100 times 500 or 20000/100 or 200
if you multiply a fraction by its recipricol (the number fliped upside down) the you will get 1 so if you multiply 1/2 by 2/1 then you will get 1
thus
percent is out of 100 so 1%=1/100 25%=25/100
if you represent 45 out of something as 45/x then you multiply it by the reciprocal of the fraction that is supposed to be equal (1/2 =2/4) then you will get 1
so 45/x times reciprocal of 100/25 then you will get 1/1 or 4500/25x
so you divide to find x and get 180
so 45 is 25% of 180
The following is extra
as stated above 'of' can be taken as multiply so
45 is 25% of 180 can be rewriten as
45=25/100 times 180
but we don't know that 180 is the answer so we replace it with x then solve for x
Answer: The average difference of weights of all 48 eggs from mean eight is 0.08.
Step-by-step explanation:
The mean absolute deviation of a data interprets the mean distance between each data point and the mean.
When this distance goes larger it means data has greater variability
Given, 48 large eggs have a mean weight of 2.1 ounces and a mean absolute deviation of 0.08 ounces.
It means that the average difference of weights of all 48 eggs from mean eight is 0.08.
Answer:
9.42 years (= 113 months)
Step-by-step explanation:
Use the compound rate interest formula:

where:
- A = amount
- P = principal
- r = interest rate (in decimal format)
- n = number of times interest is compounded per unit t
- t = time
Given:
- A = $7850
- P = $5000
- r = 4.8% = 0.048
- n = 12
- t = years




Take natural logs:





Answer:
-2.25
Step-by-step explanation:
you gotta divide -4/5 by 2