Filbert's truck can travel 152 miles on 5.7 gallons of gas. how far can he travel on a full tank of 18 gallons of gas? (round your answer to the nearest whole mile.)
2736 miles
480 miles
866 miles
48 miles

Set up a ratio of miles traveled over gallons of gas used:

We know 152 miles / 5.7 gallons.

We want to find X miles / 18 gallons

So we have:

152/5.7 = X/18

Cross multiply:

(152 x 18) = 5.7X

2736 = 5.7x

Divide both sides by 5.7:

x = 2736 / 5.7

x = 480

They can drive 480 miles.

side xy = 10

sin(x) = 4/5

cos(x) = 3/5

tan(x) = 4/3

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.