Answer:
Option D. 8 units
Step-by-step explanation:
step 1
Find the area of rectangle
The area of rectangle is
step 2
Find the length side of the square with the same area of rectangle
The area of a square is
where
b is the length side of the square
we have
substitute
take the square root both sides
therefore
The length side of the square is 8 units
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio.
Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication.
Finally, solve for x and if you had 100 balloons, you will have 40 yellow balloons.
<span>-4x + y = -25 y = 4x - 25
-6x - 6y = 0 </span>
-6x - 6(4x - 25) = 0
-6x - 24x + 150 = 0
-30x + 150 = 0
-30x = -150
x = 5
y = 4(5) - 25
y = 20 - 25
y = -5
(5, -5)
Answer:
2.8 hours
Step-by-step explanation:
Distance = rate * time
If the west-bound train travels at a rate of 80 mph for t hours, then the distance it travels is 80t.
If the east-bound train travels at a rate of 90 mph for t hours, then the distance it travels is 90t.
The distance between the trains after t hours is 476; therefore, the distance of the west-bound train plus the distance of the east-bound train equals the total distance between them, 476:
80t + 90t = 476 and
170t = 476 so
t = 2.8 hours
Answer:
140.04
Step-by-step explanation:
(4.89+5.68+8.91+9.22+6.31)*4 = 140.04