Let n = minutes since 12:00 pm when Malory catches up to Dori.
Dori travels
(50 steps/min)*(n minutes) = 50n steps
Malory begins walking at 12:20 pm, so she walks for (n - 20) minutes. She travels
(90 steps/min)*(n - 20 min) = 90n - 1800 steps
Equate the steps traveled by Dori and Malory.
90n - 1800 = 50n
40n = 1800
n = 45 min
The time corresponding to n = 45 min is 12:45 pm
Answer: 12:45 pm
So as we already know the ratio is 3 quarts blue paint to 2 quarts red paint, also written as 3:2. if she only has 1 quart blue paint she will need half of a quart of red paint because the ratio has to remain the same amount. if you multiply one side then you must multiply the other. same goes with division. If she only has 1 quart of red paint then that shows she divided the 2 red by 2. There fore you would have to divided the 3 by 2 in order to get 1.5 which would then make the ratio 1.5:1
5b-2=13 add 2 to both sides
5b=15 divide both sides by 5
b=3
1. x+5y=8
2x- 5y=1 What you do is find the number/variable that are the same( here is is the +5y and -5y. You want them to be opposites(-,+) so that they cancel each other out. if they are not opposites, then multiply one equation by a negative sign to change it. Cross out the 5y's. Now you can combine like terms-x+2x=3x, and 8+1=9, so now your equation will look like this:
3x=9
x=9/3
x=3
now take x=3 and plug it into the first equation to solve for y. x+5y=8, so 3+5y=8
5y=8-3
5y=5
y=5/5
y=1
(3,1) are your answers.
now do the same with the other problems.
