Answer:
21 kWh
Step-by-step explanation:
1. Subtract 25% from the original amount.
25% of 28 kWh is ...
0.25 × 28 kWh = 7.00 kWh
Subtracting this from 28 kWh, we find the usage after reduction to be ...
28 kWh - 7 kWh = 21 kWh
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2. We know that if we reduce 100% of a quantity by 25%, then the resulting amount is (100 -25)% = 75% of the original. As a fraction, this is 75/100 = 3/4 of the original amount. Then the reduced usage is ...
(3/4) × (28 kWh) = 3·(7·4)/4 kWh = 3·7 kWh = 21 kWh
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Mario must reduce his usage to 21 kWh or less.
Answer:
perpendicular
Step-by-step explanation:
To determine if AB and CD are parallel, perpendicular, or neither, we need to get the slope of AB and CD first
Given A (−1, 3), B (0, 5),
Slope Mab = 5-3/0-(-1)
Mab = 2/1
Mab = 2
Slope of AB is 2
Given C (2, 1), D (6, −1)
Slope Mcd = -1-1/6-2
Mcd = -2/4
Mcd = -1/2
Slope of CD is -1/2
Take their product
Mab * Mcd = 2 * -1/2
Mab * Mcd = -1
Since the product of their slope is -1, hence AB and CD are perpendicular
Johan ran 7.25 miles every hour for 5 hours
Answer:
y=2x+7
Step-by-step explanation:
When an equation is parallel to another, it shares the same slope.
Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)
This means that our slope is 2 because m represents the slope.
The slope of our parallel line will then also be 2.
<u>We can begin to plug that into point-slope form which is:</u>
y - y1 = m(x - x1)
This is where (x1, y1) is a point the line intersects, and m is the slope.
<u>Plugging in the slope, we'll have:</u>
y - y1 = 2(x - x1)
We also know it intersects the point (-4, -1）
We can plug this into our equation as well.
y - (-1) = m(x - (-4))
y+1=2(x+4)
<u>Now, we can simplify it into slope-intercept form:</u>
y+1=2(x+4)
Distribute
y+1=2x+8
Subtract 1 from both sides
y=2x+8-1
y=2x+7
Answer:
Close to 300 but not exaclty 300.
Step-by-step explanation:
