Elena makes fruit punch by mixing 4 parts cranberry juice to 3 parts apple juice to 2 parts grape juice. If one batch of fruit punch includes 30 cups of apple juice, how large is this batch of fruit punch?
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This batch has 90 cups of fruit punch

Step-by-step explanation:

Fruit punch=4 parts cranberry, 3 parts apple juice, 2 parts grape juice

Proportions for each=Number of parts/Total Parts

Cranberry proportion=4/(4+3+2)=4/9

Apple juice proportion=3/(4+3+2)=3/9=1/3

Grape juice proportion=2/(4+3+2)=2/9

There for;

Apple juice proportion×Total amount of fruit punch(T)=30 cups of apple juice

Replacing;

(1/3)×T=30

T=90 cups

Total amount of fruit punch=T=90 cups

This batch has 90 cups of fruit punch

it 90 cups ^^

Step-by-step explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.