Answer:
6 < x ≤ 20
Step-by-step explanation:
First, let's use the points (0, 50) and (20, 0) to find the equation of the line.
m = Δy / Δx
m = (0 − 50) / (20 − 0)
m = -2.5
y = -2.5x + 50
Now find the time when y = 35.
35 = -2.5x + 50
-15 = -2.5x
x = 6
So there is less than 35 gallons in the barrel when 6 < x ≤ 20.
Answer:
x = 6
∠B = 126
Step-by-step explanation:
∠A = ∠B through alternate interior angles
∠A = ∠B
8x + 78 = 2x + 114
8x - 2x = 114 - 78
6x = 36
x = 36 ÷ 6
x = 6
∠B = 2x + 114
2(6) + 114
12 + 114
= 126
<h3>Answer:</h3>
13 years old
<h3>Explanation:</h3>
Let g and m represent grandfather's age now and my age now. The relation 5 years ago was ...
... g -5 = 5(m -5)
The relation in 3 years will be ...
... g +3 = 3(m +3)
Subtracting the first equation from the second, we get ...
... 8 = -2m +34
... 2m = 26 . . . . . add 2m-8
... m = 13
My age now is 13.
Answer:
(7, 0).
Step-by-step explanation:
We have y = 3(x - 7)
y = 3x - 21
Point-slope form is
y - y1 = 3(x - x1)
y - y1 = 3x - 3x1
Comparing this to the equation y = 4x - 21 we see that y1 = 0 and x1 = 7.
Answer:
D:24.83
Step-by-step explanation:
