Answer:
Step-by-step explanation:
Let x represent the time that they spent biking at the first speed.
If the ride was six hours long, it means that the time they spent biking at the other speed is (6 - x) hours.
Distance = speed × time
For the first part of the ride, they biked at a speed of 7 mph. This means that the distance travelled during the first part of the ride is
7 × x = 7x
For part of the ride, they biked at a speed of 11 mph. This means that the distance travelled during the second part of the ride is
11(6 - x)
Since the total distance that the kids traveled is 54 miles, then
11(6 - x) + 7x = 54
66 - 11x + 7x = 54
11x - 7x = 66 - 54
4x = 12
x = 12/4 = 3
They spent 3 hours biking at the first speed.
They spent 6 - 3 = 3 hours biking at the other speed.
Answer:
<em>Width = 6k²</em>
<em>Length = 5k+1</em>
Step-by-step explanation:
Given the area of a rectangle expressed as
A = 30k³ + 6k²
Get the greatest common factor
30k³ = (2 * 3 * k²) * k * 5
6k² = (2 * 3 * k²)
The common factor is the value in bracket i.e 2 * 3 * k² = 6k²
<em>Width of the rectangle = 6k²</em>
<em></em>
Get the length
A = LW
L = A/W
L = 30k³ + 6k²/6k²
L = 6k²(5k+1)/6k²
L = 5k + 1
<em>Hence the length L = 5k+1</em>
Answer: Total = $200
Step-by-step explanation:
<u>Given information</u>
Money spent on shoes = $20.00
Percent of Money spent on shoes = 10%
<u>Given formula</u>
The total amount of money spent × Percent = Money spent on shoes
⇵
The total amount of money spent = Money spent on shoes / Percent
<u />
<u>Substitute values into the given formula</u>
The total amount of money spent = Money spent on shoes / Percent
Total = (20.00) / (10%)
<u>Convert percentage into decimal</u>
Total = 20.00 / 0.1
<u>Simplify the fraction</u>
Hope this helps!! :)
Please let me know if you have any questions
Answer:
1: 5/20 2: 1 2/20
Step-by-step explanation:
multiply ti to get 20 and multiply the numerator with it
At 30 miles per gallon that would cost $65.70