Answer:
c = -3
Step-by-step explanation:
Call the unknown c
c(x-3) +2x = -(x-5) +4
Distribute the negative sign
c(x-3) +2x = -x+5+4
Combine like terms
c(x-3) +2x = -x +9
Subtract 2x from each side
c(x-3) +2x-2x = -x-2x +9
c(x-3) = -3x+9
Factor a -3 from the right side
c(x-3) = -3(x-3)
Divide by (x-3)
c = -3
The right and left hand side need to be equal for there to be infinite solutions, so c = -3
Answer:
80
Step-by-step explanation:
Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16
Answer:
C. 2
Step-by-step explanation:
h/6 + h/3 = 1
h/6 + 2h/6 = 1
3h/6 = 1
3h = 6
h = 2
Zoe's unit rate is 0.625
Explanation
Just divide because remember unit rates are out of 1.