Answer:the number of gallons of water left in the tub after it has drained for x minutes is 300 - 8x
Step-by-step explanation:
A hot tub that holds 300 gallons of water drains at a rate of 8 gallons.
Let x represent the number of minutes for which the hot tub has drained water.
If the hot tub drains 8 gallons of water per minute, it means that in x minutes, the number of gallons of water that the hot tub would have drained is 8x
Therefore, the number of gallons of water left in the tub after it has drained for x minutes would be
300 - 8x
Answer:
See explanation below.
Step-by-step explanation:
First I'm going to find angle 2. Angle two plus 55 is equal to 115. 180-115=65. 65-55=10 Angle 2 = 10
Next, we can find angle 3. 55+10=65. 180-65=115. Angle 3 = 115
Angle 2 is equal to angle 5, angle 3 is equal to angle 6, and angle 4 is equal to 55.
Angle 5 = 10
Angle 4 = 55
Angle 6 = 115
Now we can find angle 8. 180-115=65. Angle 8 = 65
Angle 11 = 65
Angle 12 = 115
10+115=125 Angle 10 = 125
180-125 = 55 Angle 9 = 55
Angle 14 = 55
Angle 13 = 125
Answer:
So there is a 2 in 13 chance to pull out either an ace or king from the deck
Step-by-step explanation:
Let the two numbers be represented by x and y. The problem statement gives rise to two sets of equations.
x - y = 0.6
y/x = 0.6 . . . . . . . assuming x is the larger of the two numbers
or
x/y = 0.6 . . . . . . . assuming y has the larger magnitude
The solution of the first pair of equations is
(x, y) = (1.5, 0.9)
The solution of the first and last equations is
(x, y) = (-0.9, -1.5)
The pairs of numbers could be {0.9, 1.5} or {-1.5, -0.9}.
Answer:
Step-by-step explanation:
Simplifying
6 = 1 + -2n + 5
Reorder the terms:
6 = 1 + 5 + -2n
Combine like terms: 1 + 5 = 6
6 = 6 + -2n
Add '-6' to each side of the equation.
6 + -6 = 6 + -6 + -2n
Combine like terms: 6 + -6 = 0
0 = 6 + -6 + -2n
Combine like terms: 6 + -6 = 0
0 = 0 + -2n
0 = -2n
Solving
0 = -2n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '2n' to each side of the equation.
0 + 2n = -2n + 2n
Remove the zero:
2n = -2n + 2n
Combine like terms: -2n + 2n = 0
2n = 0
Divide each side by '2'.
n = 0
Simplifying
n = 0
