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.
Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
Answer:
x = 5/2
Step-by-step explanation:
2^x+4 = 2^3x-1
x + 4 = 3x - 1
3x - x = 4 + 1
2x = 5
x = 5/2
Answer:
Step-by-step explanation:
C(x) = 15x + 25,500....cost function
R(x) = 32x .....revenue function
break even point (when they are equal)....so set them equal and solve for x
15x + 25,500 = 32x
25,500 = 32x - 15x
25,500 = 17x
25,500 / 17 = x
1500 = x.......so the break even point is when 1500 benches are sold
15x + 25,500 = 32x =
15(1500) + 25,500 32(1500) =
22,500 + 25,500 48,000
48,000
and after selling 1500 benches, they will both equal $48,000
For this case we have the following product:
We must use the distributive property correctly to solve the problem.
We have then:
Then, we must add similar terms.
We have then:
Answer:
The final product is given by:
option 2
