Answer:
x = 35
Step-by-step explanation:
Solve for x:
6 x - 15 = 4 x + 55
Hint: | Move terms with x to the left hand side.
Subtract 4 x from both sides:
(6 x - 4 x) - 15 = (4 x - 4 x) + 55
Hint: | Combine like terms in 6 x - 4 x.
6 x - 4 x = 2 x:
2 x - 15 = (4 x - 4 x) + 55
Hint: | Look for the difference of two identical terms.
4 x - 4 x = 0:
2 x - 15 = 55
Hint: | Isolate terms with x to the left hand side.
Add 15 to both sides:
2 x + (15 - 15) = 15 + 55
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
2 x = 55 + 15
Hint: | Evaluate 55 + 15.
55 + 15 = 70:
2 x = 70
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = 70 by 2:
(2 x)/2 = 70/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
x = 70/2
Hint: | Reduce 70/2 to lowest terms. Start by finding the GCD of 70 and 2.
The gcd of 70 and 2 is 2, so 70/2 = (2×35)/(2×1) = 2/2×35 = 35:
Answer: x = 35
The container will take 25 minutes to go from full to empty.
Explanation:
In 15 minutes, the container has lost 3 gallons of water (
5
−
2
=
3
).
Since the leak is at a constant rate, we can determine that every five minutes the container loses one gallon.
So for the container to lose the full 5 gallons will take 25 minutes (
5
×
5
=
25
)
Answer:
simple, divide the number by two, round as needed. 6=3x as normal, 5=2.5x as nromal, etc.
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
To see if a line is parallel to y = -(2/3)x + 8 you need to check if the coefficients at y and x are of the same ratio. This immediately removes answers A and C, because of the wrong sign at x compared to y.
What's left is to see which of the answers B and D passes through (4, -5) by inputting x = 4 and y = -5
B.
left = -5 - 5 = -10
right = -(2/3)(4 + 4) = -16/3
So it's D. Let's verify:
D.
left = -5 + 5 = 0
right = -(2/3)(4 - 4) = 0
Checks out.
No solutions exist. Set the function equal to 0. x^2= -25. There are no real solutions to this equation.
