3 years ago

51 gallons in 14 minutes

1 answer:

7 0

Is this another unit rate question? if so, you're looking for how many gallons in 1 minute.
51 gallons in 14 minutes looks like this:
51 gal/14 min
divide 51 by 14, you get
3.64 gal/1 min

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A father’s age is the square of his son’s age (x). In 20 years’ time the father will be 3 times as old as his son. What are the

VMariaS [17]

If the current son's age is x, the current age of the father is $x^2$ .

In 20 years they will be, respectively, $x+20$ and $x^2+20$ years old, and we know that the father will be 3 times as old as his son:

$x^2+20=3(x+20) \iff x^2+20=3x+60 \iff x^2-3x-40=0$

The quadratic equation has solutions

$x_{1,2}=\dfrac{3\pm\sqrt{9+160}}{2}=\dfrac{3\pm 13}{2}$

So, the two solutions are

$x_1 = \dfrac{16}{2}=8,\quad x_2 = \dfrac{-10}{2}=-5$

We clearly can't accept negative values as solution for a problem involving the age of a person, so the only feasible solution is x=8, and we deduce that the father's age is 8 squared, i.e. 64.

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3 years ago

There are 4 lunch choices in a school cafeteria: Salad, Pizza, Spaghetti, and Sub Sandwiches. The percentage of students that ch

Elina [12.6K]

I think it would be 300, because 15% of x=45, so .15x=45, x= 45/.15=300

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3 years ago

Add gift box in the shape of a triangular prism has a volume of 140 in.³, that a base height of 10 inches, and a height of 4 inc

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3 years ago