The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used
Answer:
Hours of use of sprinkler by Lewis family is 30 hours.
Hours of use of sprinkler by Perry family is 35 hours.
Step-by-step explanation:
Let W = hours of use by Lewis family
65 - W = hours of use by Perry family
Then;
15W + 40*(65 - W) = 1850
15W + 2600 - 40W = 1850
(15 - 40)W = 1850 - 2600
-25W = −750
W = 750/25 = 30
Therefore;
W = 30
65 - W = 65 - 30 = 35
Hence,
Hours of use by Lewis family is 30 hours.
Hours of use by Perry family is 35 hours.
If the number on the bottom of the fraction is 8 times the size
of the number on top, then the fraction is equal to 1/8 .
Examples:
100 / 800
20 / 160
8 / 64
Answer:
C(x) = 7x + 10
Step-by-step explanation:
If the delivery charge is $10 for any number of board feet ordered.
If the delivery charge is $10 for each board feet ordered, the function would
be C(x) = (7 + 10)x = 17x
Answer:
2x^3+12x^2+10x-24
Step-by-step explanation:
(2x^2+6x-8)(x+3)
2x^3+6x^2-8x+6x^2+18x-24
2x^3+6x^2+6x^2-8x+18x-24
2x^3+12x^2+10x-24
Answer:
x=2
Step-by-step explanation:
This is an isosceles triangle you can tell by the two congruent/equal angles
angle A is congruent/equal to angle C by definition the two sides will be equal.
x-4=3x-8
1. get all you x's on one side. by subtracting x from both sides you don't have to deal with dividing by negatives later on.
x-x-4=3x-x-8
-4=2x-8
now you want to get x by itself so add 8 to both sides
4= 2x
x is still not by itself so divide both sides by 2
x=2
