I am having trouble with the last question. “Suppose that y=2.5 when x=1.5. Write a formula that expresses y in terms of x.”

A family plans to drive their car during their annual vacation. The car can go 340 miles on a tank of gas, which is 16 gallons o

MrMuchimi

Answer:

It would take 86.4 gallons of gas to go 1,836 miles.

Step-by-step explanation:

the situation can be explained by the equation 16x=340, where x is how many miles the car can go in one gallon. divide both sides by 16 to get that answer

x=340/16= 21.25

Now the other problem can be expressed by the equation 21.25y=1836, where y is the amount of gallons it would take to go 1,836 miles.

divide both sides by 21.25 to get the amount of gallons

y= 1836/ 21.25= 86.4.

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4 years ago

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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle

Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

$11x+16x+24x = 51x$ feet long. But we know that this is 510 feet, so we have

$51x = 510 \implies x = \cfrac{510}{51} = 10$ .

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if $s$ is half the perimeter of the triangle whose sides are $a,b,c$ , the area $A$ is given by