Answer:
x+10
Step-by-step explanation:
Answer:
-11, -7, -3, -1, 0, 5, 8
Step-by-step explanation:
Answer: 9/16
Work Shown:
14 red + 10 yellow + 5 green + 3 purple = 32 total
(32 total) - (14 red) = 18 that aren't red
18/32 = 9/16 is the probability of picking something that isn't red.
Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
Christopher would be able to make 18 scarves.
To solve this problem, we just need to divide 12 by 2/3. To divide 12 by 2/3, we just multiply 12 by 3/2.
This will give us 36 over 2 or just 18.
