Answer:
$15.75
Step-by-step explanation:
y × 100 = 5 × 15
100y = 75
100y ÷ 100 = 75 ÷ 100
y = 0.75
$15 - $0.75
$14.25
y × 100 = 10 × 15
100y = 150
100y ÷ 100 = 150 ÷ 100
y = 1.5
$14.25 + $1.50
$15.75
Not A.(17 is a common factor)
B. only common factor is 1
not C (7 is a common factor)
D. only common factor is 1
Both B and D are relatively prime.
Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.
Answer:
If Lauren spend 2/3 of her 24-hour computer time doing homework, this means she spent 16 hours doing homework. Each third of the 24 hours is 8 hours, so two thirds would be 16 hours.
-2n + 9mn - 17np
All you do is simplify the equation by distributing and multiplying the 1/3n to each of the numbers.
Hope this helps!