Let the length be 8x and the width = 5x, then
Perimeter = 2(length + width) = 2(8x + 5x) = 2(13x) = 26x
338 = 26x
x = 338/26 = 13
Therefore, length = 8x = 8 x 13 = 104
Answer:
20 meters
Step-by-step explanation:
Firstly we need to know that distance = speed * time
In this particular question, we have the time and the speed, we are only told to find the distance.
Now as we can see, the units are not consistent. While the average speed is 30mph, the time is not in hours but minutes. So practically, we have to convert the time to hours.
Since there are 60 minutes in an hour, the number of hours in 40 minutes would be 40/60 = 2/3 hours.
Now we can proceed to find the distance. We simply multiply the average speed with the time.
Hence, that is 30 * 2/3 = 20 meters
Answer:
The amount invested in the mutual fund that earned 5% was $1,000
The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
----> 
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x
<em>Find the value of y</em>
therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
Answer:
Therefore all numbers that end with five and are greater than five are composite numbers. The prime numbers between 2 and 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
Step-by-step explanation:
