Answer:
Martin family: 20 hours
Lewis family: 35 hours
Step-by-step explanation:
Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .
We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350
L + M = 55
30 * L + 15 * M = 1350
One way to solve this would be to solve for L in the first equation and substitute that into the second
subtract M from both sides in the second equation
55 - M = L
30 * (55-M) + 15 * M = 1350
30 * 55 - 30 * M + 15 * M = 1350
1650 - 15M = 1350
subtract 1650 from both sides to isolate the M and its coefficient
-15M = -300
divide both sides by -15 to isolate M
M = 20
L = 55-20 = 35
Answer:
Parallel
Step-by-step explanation:
Answer:
x=6 and z=107
Step-by-step explanation:
From the figure or diagram we can say that
z+15x-17=180 ---(1)
z+11x+7=180 ---(2)
Subtracting (1) and (2)
z+15x-17-(z+11x+7)=180-180
4x-24=0
4x=24
x=6
Substitute x=6 in (2)
z+11(6)+7=180
z+66+7=180
z=180-73
z=107
The new height of the water is = 9.34 inches (approx)
Step-by-step explanation:
Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.
Let the new height of water level be x inches.
The volume of the container = (20×16×12) cubic inches
=3840 cubic inches
According to the problem,
3840 - (20×16×x) = 850
⇔3840 -320x = 850
⇔-320x =850-3840
⇔-320 x = -2990
⇔x = 9.34 inches
The new height of the water is = 9.34 inches (approx)
D is the correct answer because it’s greater than 985, 405
