We are given that:
t = time required for Sprinkler System A
t + 4 = time required for Sprinkler System B
Hence the rates are:
1 / t = rate for Sprinkler System A
1 / (t + 4) = rate for Sprinkler System B
The overall equation is:
1 / t + 1 / (t +
4) = 1 / 1.5
Solving for t by multiplying everything by t*(t + 4):
t + 4 + t = (1 / 1.5) (t) (t + 4)
3 t + 6 = t^2 + 4 t
t^2 + t = 6
Completing the square:
t^2 + t + 0.25 = 6 + 0.25
(t + 0.5)^2 = 6.25
t = -0.5 ± 2.5
t = -3, 2
Since time cannot be negative, therefore:
t = 2 hours
t + 4 = 6 hours
Alone, Sprinkler System A takes 2 hours while Sprinkler
System B takes 6 hours.
Answer:
Brand A is the better buy
Step-by-step explanation:
bag Which is the better buy?
Step one
Brand A: $5 for 80 pounds of sand
Let us find the unit cost
Unit cost =5/80
=$0.0625 per pound
Brand B: $14 for 175 pound
The unit cost is
=14/175
=$0.08 per pound
Assuming that I am properly understand your question, all you have to do is get the initial values for each individual and add their savings monthly.
Starting
Josie: 80
Addie: 60
One month
Josie: 110
Addie: 100
Two months
Josie: 140
Addie: 140
So two months would be the answer.
You could also do...
x = months
80 + 30x = 60 + 40x
20 + 30x = 40x
20 = 10x (Divide by ten on both sides)
2 = x
2 Months
To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.
29 gallons because if he uses 18 gallons to go 468 miles, he would be getting 26 mpg. 26 goes into 754 29 times, so he uses 29 gallons to go 754 miles.
