Answer:
hope this helps (sorry for messy handwriting!)
Step-by-step explanation:
Answer:
She decreased her running time at a rate of 16.67%
Step-by-step explanation:
In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.
Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%
We input the values and proceed as follows:
Percentage decrease = (10-12)/12 * 100
-2/12 * 100/1 = -1/6 * 100 = -16.67%
Since it’s a decrease, we just simply say that her running time decrease by 16.67%
4x+7=35
4x=28
x=7
A corresponding solution of the matching equation is a fancier way of telling you to find the number that represents x
Answer:
The word "Of" in an equation is interpreted to be multiplication. Also, you must move the decimal two places to the left to change a percent to a decimal.
1. 20 * .12 = 2.4
2. .3 * 70 = 21
3. 300 * .25 = 75 Blue marbles
4. 40 * .35 = $14
Answer:
We know that:
Energy released by fusion of hydrogen in 1 liter of solution A = 7.6x10^10 J
Energy used daily in a certain family home = 3x10^4 J
(you did not write the units, so i suppose that are the same in both cases)
Then, if x is the number of liters of solution A used, the energy produced will be:
E(x) = x*7.6x10^10 J
And we want this equal to 3x10^4
then:
E(x) = x*7.6x10^10 J = 3x10^4 j
now we solve this for x.
x = (3x10^4 j)/(7.6x10^10 j) = 3.9x10^-7
Then you need to use 3.9x10^-7 L of solution a.
