Meredith drives at a speed of 32 miles per hour, and she is currently out of gas. A gallon of gas costs $\$2.15$, and her car goes 27 miles per gallon of gas. If she has $\$17.20$ to pay for gas, for how many hours can she drive?

6 hours and 45 minutes

Step-by-step explanation:

First, we need to find out how many gallons she can buy. Since we know she has $17.20, and 1 gallon = $2.15, we can divide 17.20/2.15 to get 8 gallons. Now, since we also know that her car goes 27 miles per gallon, we have to multiply 27 by 8 to get 216, which means she can drive for 216 hours in total. Since Meredith drives 32 miles per hour, we can divide 216 by 32 to get 6.75 hours, which is 6 hours and 45 minutes.

Step-by-step explanation:

2.15 per gallon

27 miles per gallon

has 17.20

drives at speed of 32 per hour

how many hours can she drive

First we need to find how much gas she can buy. To do that, we need to solve:

, which equals  8

So now we know that she can buy 8 gallons of gas.

Now we need to find out how much gas she will use going 27 miles

27 x 8 = 216

she can go 216 miles on 8 gallons of gas.

Now for the fun part

= 6.75

So, I believe she can drive for 6 hours and 45 minutes.

Let me know if incorrect.

Hope this helps :)

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

do i do it on a graph?

step-by-step explanation: