40 - 3k + 10k = -10 - 8k - 10
40 + 7k = -10 - 8k - 10
40 + 7k = -8k - 20
40 + 7k - 40 = -8k - 20 - 40
7k = -8k - 60
7k + 8k = -8k - 60 + 8k
15k = -60
15k/15 = -60/15
k = -4
X = 30
Y = 20
Let me know if you want me to show my work (:
Answer:
2/5
Step-by-step explanation:
you want to start with the point on the left and then count 2 up to the line that the other point is on than you count over 5 to the point on the right
then you put rise over run which makes it 2/5
Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Answer:
40 degrees is (40/360)=0.111=11.1%
The color closest to 11.1% is Purple at 12%.
The total who prefer a rainbow color is:
13+4+5+15+16+12=65
Of this 65, 13 prefer red, so 13/65=0.20,
of the people who preferred a rainbow color,
20% preferred red.
Step-by-step explanation:
