Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
Answer:
$45
Step-by-step explanation:
Answer:
8.4 inches
Step-by-step explanation:
To find the amount of inches, multiply the length by the percent. A percent is 40% but can also be written as a decimal conversion as 0.4. Then 40% of 60 inches is 0.4(60)= 24 inches.
However, she didn't use all 24 inches. She used 35%. This converts to 0.35 and then multiply for 0.35(24) = 8.4 inches.
She used 8.4 inches.
Answer: 
Step-by-step explanation:
The period is 
.
