1/3 of all students bring lunch
2:3 is the ratio of students who bring their lunch to the number of students who do not
In order to solve this problem, we need to set up a proportion. I am setting the amount of calories in 10 ounces of grape juice equal to x.

We begin to solve this by cross multiplying.
8x = 1,100
To finish the problem, we divide both sides by 8.
x = 137.5, so the 10 ounce glass of grape juice will have 137.5 calories.
Answer:
Yes
Step-by-step explanation:
8/10 can be simplified to become 3/4
Answer:
3x+9 < 60 where x = Audrey's age
Step-by-step explanation:
Lou says "even if you tripled you age", which means that if Audrey's age is represented by the variable x, then we would multiply it by 3 to get 3x. the next part says "and add 9". We already have the 3x, so we would just tack on a +9 to get 3x + 9. The last part says "you still wouldn't be as old as me." Given that 3x+9 represents Audrey's age, this equation would have to be less than Lou's age, which in this case is 60.
Answer:
-1.
Step-by-step explanation:
1/m = m^-1.
We can show this is correct if we simplify the following:
m^2 / m ^3 = m * m / m * m* m = 1/m
By the law of indices: m ^2 / m^3 = m^(2-3) = m^-1.