Marie drove 137.2 miles to her mother's house. Her car used 4.9 gallons of gas. How many miles per gallon did Marie's car get?

Hello, your answer should be,

Step-by-step explanation:

Let x be the number of miles.

We have been given that Sully's car has an average fuel economy of 28 miles per gallon. The capacity of the fuel tank is 16 gallons.  

Let us find the number of miles that Sully can drive with 16 gallons.

Hope this helps you! Bye!

This means that initially Sully's car has can drive 448 miles, so at x equals 0, y will be 448.

As the car consumes 1 gallon for each 28 miles driven, so the gallons of fuel consumed in traveling x miles will be 28x. As each gallon of fuel will decrease with each 28 miles traveled, so slope of our function will be -28.

Upon substituting slope and y-intercept in slope-intercept form (y=mx+b), we will get our function as:

Therefore, our required function will be: .

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.