(45+20)/(42+45+20+32)
65/139
<span>46.762589928%</span>
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
You count how many places the number is away from 0. try writing it out in an equation it would help
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
