Answer:
slope (m) = -8.
Step-by-step explanation:
Slope-intercept form is y = mx + b, in which:
m = slope
b = y-intercept
x = (x , y)
y = (x , y)
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With the given information on top, it means that -8 is your answer.
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Answer:
1
Step-by-step explanation:
15 = 5 x 3 = 5 x √3 x √<span>3
so
15 / (5</span><span> √</span>3)
= (5 x √3 x √3)/ (5 x √3) ............( 5 x √3 are canceled out)
= √3
or
= 1.73
Answers:
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Work Shown:
The ratio 2 red : 6 grey reduces to 1 red : 3 grey when we divide both parts by 2. For every 1 red car, there are 3 grey cars. There are triple as many grey compared to red.
Let x be the number of red cars. Since there are 3 times as many grey cars, this means 3x represents the number of grey cars.
The total number of cars can be represented by the expression x+3x = 4x
Set this equal to the total number of cars (144) and solve for x
4x = 144
x = 144/4
x = 36
There are 36 red cars.
Subtract that value from 144 to find 144-36 = 108 grey cars.
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An alternative way to solve:
(2 red)/(6 grey) = (x red)/( (144-x) grey)
2/6 = x/(144-x)
2(144-x) = 6x .... cross multiply
2*144 - 2*x = 6x
288 - 2x = 6x
288 = 6x+2x
288 = 8x
8x = 288
x = 288/8
x = 36
If there are 144 vehicles in the parking lot, then 36 cars are red.
Also, 144 - x = 144 - 36 = 108 cars are grey.
Answer:
Step-by-step explanation: