Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is, (x + 4)
Length decreased by 5, (x + 8 - 5) = (x + 3)
Area = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x = x(x +3) + 4(x +3)
x² + 8x = x² +3x + 4x +12
x² + 8x = x² +7x +12 Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle : x, x + 8
12, 12 +8 = 12, 20
Original rectangle is 20 feet by 12 feet
Answer:
Step-by-step explanation:
The manager visits a park and interviews people who are waiting to use the tennis courts.
Answer:
Y=20
Step-by-step explanation:
y equals 20 because you simplify both sides of the equation then you have an isolated variable
Answer:
6%
Step-by-step explanation:
Step 1
The fist step is to define the probabilities.
The events are independent from each other. Each team wins with probability
and looses with probability
Let
be probability that Roses win and
be the probability that Roses loose.
Step 2
The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.
The calculation is shown below,

Step 3
The last step is to convert this probability into a percentage. Converting this probability to a percentage is done as shown below,

Step 4
The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.
Answer:
<u>x = -8</u>
4x + 8 = 2x - 8
3x + 4 = 2x - 4
2x + 16 = x + 8
x - 1 = 2x + 7
17x + 36 = 16x + 28
13x + 2 = 12x + 11
.......
(this is infinite)
As long as it cancels out to x = -8