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 :)

answer: its because of life

step-by-step explanation: i dont know

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.