Answer:
Step-by-step explanation:
If 3⁄4 gallons of water come out of a hose in 15 minutes, to calculate the rate of water that comes out in an hour (60 minutes), we will use the expression;
3/4 gallons = 15 minutes
x gallons = 60minutes
cross multiply
15x = 3/4 * 60
15x = 180/4
15x = 45
x = 45/15
x = 3/1
x = 3:1
Hence the water rate in gallons per hour is 3 gallons per hour
Answer: 21 & 18
Step-by-step explanation:
Sum of two numbers is 39
Difference is 3
Let the numbers be x & y
X+y=39........equation 1
X-y=3...........equation 2
X=3+y............equation 3
Substitute equation 3 into equation 1
(3+y)+y=39
3+y+y=39
3+2y=39
2y=39-3
2y=36
Y=36/2
Y=18
Substitute for y in equation 2
X-y=3
X-18=3
X=3+18
X=21
The two numbers are 21 & 18
1. Write the equation:
d(-3 + x) = kx + 9
2. "Open" the parenthesizes:
-3d + dx = kx + 9
3. Take kx to the left side, -3d to the right, everything with different sign (+ replace with - when transferring, - replace with +):
dx - kx = 9 + 3d
4. Factor x in the left side:
x(d - k) = 9 + 3d
5. Finally, divide the whole equation by (d - k):
x = (9 + 3d)/(d - k)
That's the final answer. Good luck!
Answer:
x=1
Step-by-step explanation:
To solve for x, we need to get x alone on one side of the equation.
Add one to each side of the equation. Subtract 8x from each side of the equation. Divide both sides by -7. You should get 1 as the answer.
Let p = number of people that cast their vote.
p = 0.35(15, 000)
p = 5,250
