Answer:
Step-by-step explanation:
To rid the denominators, multiply both sides by 
.
We get:
Simplifying, we have:
Solving, we get:
Therefore, the solution with the greatest value is 
Answer:
The time it would take them to fill 750 gallons
= 200 minutes or 3 hours 20 minutes
Step-by-step explanation:
Step 1 :
We calculate the rate at which the hoses fill for Andre and His neighbor
For Andre
The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes.
The rate is calculated as:
5 gallon/2 minutes
= 2.5 gallons/minute
For His neighbor
The hose at his next-door neighbor's house can fill a 10-gallon bucket in 8
minutes.
= 10 gallon/8 minutes
= 1.25 gallon/minute
Step 2
Hence:
If they use both their garden hoses at the same time, and the hoses continue working at the same rate, the sum of their rate =
2.5 + 1.25 = 3.75 gallons per minute.
Step 3
The time it would take them to fill 750 gallons =
750 gallons ÷ 3.75 gallons per minute
= 200 minutes
= 3 hours 20 minutes
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
I can’t see the question b
