5gallons of diesel weighs 37 pounds. how much does 3 gallons of diesel weigh? do these quantities (volume and weight) vary directly or inversely? find the constant of variation.

22.2 pounds and 1g = 7.4p

Step-by-step explanation:

Lets go in an inverse sense, finding firstly the constant variation and then the weight of 3 gallons.

The constant variation is the relation between gallons of diesel volume and pounds of diesel weight. For thise we would like to find how many pounds of diesel weights 1 gallon. We have the following equality:

5 gallons = 37 pounds

Now, lets divide both sided by 5, as we know the equality will still:

5/5 gallon = 37/ 5 pounds

1 gallon = 7.4 pounds

So, this is the constant variations: every extra gallons weights 7.4 pounds. We could also do this in terms of pounds, which means, parting from:

5 gallons = 37 pounds

Divide both sides by 37:

5/37 gallons = 1 pound

0.081 gallons = 1 pound

Every extra pound means 0.081 more gallons.

Now, as we want the weight of 3 gallons we can use our first relation and multiplying by 3:

1 gallon = 7.4 pounds

3 gallons = 22.2 pounds

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer