Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
Using the given equation:
10PI/X = 240/360
Cross multiply:
(10PI*360) = (240*X)
3600PI = 240X
Divide both sides by 240:
X = 3600PI / 240
X = 15PI in^2
Answer:
Step-by-step explanation:
79 divided by 68 is your answer
You can do the math
I got your answer! I will tell you right now. Your GCF is 9 and your LCM is 180! Your very much welcome!! Good luck for you! :)
Answer:
bags of snack = x = 6
bottles of water = y = 5
Step-by-step explanation:
The system of equations can be used to determine how many of each item they bought.
20.00=2.50x+1.00y
11=x+y
how many bags of snack mix did they buy?
Let
bags of snack = x
bottles of water = y
20.00 = 2.50x + 1.00y (1)
11 = x + y (2)
From (2)
x = 11 - y
Substitute x = 11 - y into (1)
20.00 = 2.50x + 1.00y
20.00 = 2.50(11 - y) + 1.00y
20.00 = 27.5 - 2.50y + 1.00y
20.00 - 27.5 = -2.50y + 1.00y
-7.5 = -1.5y
y = -7.5/-1.5
y = 5
Substitute y = 5 into (2)
11 = x + y
11 = x + 5
11 - 5 = x
x = 6
bags of snack = x = 6
bottles of water = y = 5
