randi needs to mow her lawn. the mixture requires 5 gallons of gas for every 2 gallons of oil. how much oil will she need for 8 gallons of gas. your answer should be in tenths

If the mixture requires 5 gallons of gas for every 2 gallons of oil, then for 8 gallons of gas, Randi will need (8/5) * 2 = 3.2 gallons of oil.

To find out how much oil Randi will need for 8 gallons of gas, we can set up a ratio using the given information:

5 gallons of gas : 2 gallons of oil

Let's write this ratio as a fraction:

5/2

Now, we can use this ratio to find out how much oil will be needed for 8 gallons of gas. We'll set up a proportion:

5/2 = 8/x

To solve for x, we can cross-multiply:

5x = 2 * 8

5x = 16

Divide both sides by 5 to isolate x:

x = 16/5

To express the answer in tenths, we can divide 16 by 5:

x ≈ 3.2

So, Randi will need approximately 3.2 gallons of oil for 8 gallons of gas.

To determine how much oil Randi will need for 8 gallons of gas, we can use the given ratio of 5 gallons of gas to 2 gallons of oil.

Step 1: Set up a proportion using the ratio:
5 gallons of gas / 2 gallons of oil = 8 gallons of gas / x gallons of oil.

Step 2: Cross-multiply to solve for x:
5 * x = 8 * 2

Step 3: Simplify and solve for x:
5x = 16

Dividing both sides by 5:
x = 16 / 5

Step 4: Convert the fraction to tenths:
x = 3.2 gallons of oil.

Therefore, Randi will need 3.2 gallons of oil for 8 gallons of gas.