Answer:
Slope: -1/5 y-intercept: 12
Step-by-step explanation:
y = -1/5x + 12
The equation given is the slope-intercept form, y= mx + b
In this equation, the m, or number in front of the x, is the slope of the line.
The b in the equation represents the y-intercept.
Therefore, according to the given equation, the slope is -1/5 and the y-intercept is 12.
She gets to the library at 5:30. Half an hour is equal to 30 minutes, and if she leaves at 5:00, she will be there in thirty minutes.
Answer:

Step-by-step explanation:
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The constant of proportionality based on the situation is 0.4
Step-by-step explanation:
Tanner cycled 8 miles in 20 minutes
We need to find the constant of proportionality based on the situation
1. The distance is proportion to the time, because the distance and
the time increased together
2. If the distance d and the time is t, then d ∝ t
3. The equation of the direct proportion is d = k t, where k is the
constant of proportionality
∵ d = k t
∵ d = 8 miles
∵ t = 20 minutes
- Substitute these values in the equation above
∴ 8 = k (20)
- Divide both sides by 20
∴ k = 0.4
The constant of proportionality based on the situation is 0.4
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Answer:
Some states consider some income to be tax free. this statement is false