The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. the helicopter flies for 3 hours and uses 33 gallons for fuel. find the number of gallons of fuel that the helicopter uses to fly for 4 hours.
a) 48 gallonsb) 44 gallonsc) 55 gallonsd) 12 gallons

44 gallons

Step-by-step explanation:

Using proportion,

33 gallons = 3hours

X = 4hours

Cross multiply

3 × X = 33 × 4

3X = 132

Divide bothside by 3

3x/3 =132/3

X = 44

Therefore the helicopter uses 44gallons for 4 hours.

Step-by-step explanation:

The expression, written in full, looks like this:

To simplify this expression, it would help us out a lot if we could factor the expressions in the denominators. Let's handle first:

Next, we can factor :

Substituting these back into our original expression, we get

On the left, we can cancel an (x+3) in the numerator and denominator, and on the right, we can cancel an (x-4), simplifying the expression to

Multiplying the two together gives us the fraction

Since , we can rewrite this fraction in simplified form as