Because 1/2 ≠ 1/6.
We know that 1/6 < 1/2, so we can set up an equation to see how many copies are needed for them to be equal.
(1/6)x = 1/2
[(1/6)x] × 6 = [1/2] × 6
x = 6/2 = 3
This equation shows that 1/6 × 3 = 1/2, therefore we need 3 copies of 1/6 to equal 1 copy of 1/2.
You answer is the third option
Answer:
50 gallons 20%
50 gallons 30%
Step-by-step explanation:
If x is gallons of 20% moonshine, and y is gallons of 30% moonshine, then:
x + y = 100
0.20x + 0.30y = 0.25(100)
Solve the system of equations using substitution or elimination. Using substitution:
0.20x + 0.30(100 − x) = 0.25(100)
0.20x + 30 − 0.30x = 25
5 = 0.10x
x = 50
y = 50
Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.
Step-by-step explanation:
1. Let's call the amount he got paid per hour at his job as a cashier:
.
Let's call the amount he got paid per hour at his job delivering newspapers:
.
2. Keeping on mind the information given in the problem above, you can make the following system of equations:

3. You can solve it by applying the Substitution method, as following:
- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.
- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.
4. Therefore, you have:

Then:

Finally:

Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.
Answer:

Step-by-step explanation:
Division operation of function:

Example:
