Given:
y varies directly with x
y = 8 when x = -6
what is the value of y when x = -2?
y = kx
we need to get the constant of variation.
8 = k(-6)
8/-6 = k
4/-3 = k or - 1 1/3
y = -4/3 (-2)
y = (-4*-2) / 3
y = 8 / 3
y = 2 2/3 OR 2.67
The correct answer is Choice B. y = -1.33x ; 2.67
Using the arrangements formula, the probability of the butterscotch, cinnamon, and then chocolate candies eaten in this particular order is:
.
<h3>What is the arrangements formula?</h3>
The number of possible arrangements of n elements is given by the factorial of n, that is:
In this problem, there are 3 candies, hence the number of ways they can be eaten is:
The desired order is only one, hence the probability is:
.
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Answer: 170 Gallons
Step-by-step explanation: A water hose can let out 17 gallons of water in a minute. In 10 Minutes, if you multiply 17 by 10, you get 170.
Answer:
Step-by-step explanation:
you need to find the distance between points L, M, N to know the length of sides LM, MN, NL
use the distance formula
d= √(x2-x1)² +(y2-y1)², where the points are (x1, y1) and (x2, y2)
LM = √(4-1)² + (-3- -3)² = √3² + 0² = 3
MN = √(1-1)² + (-3-0)² = √0² + 9 = 3
NL = √(4-1)² + (-3-0)² = √3² + 9 = √18 = 3√2
The perimeter is LM+MN+NL = 3+3+3√2 = 6+3√2 ≈ 10.243
The fraction of the pie Each person will get from Brenda = ( 5 / 24 ) of the pie.
Given,
Brenda has 5/6 of pie with her.
The total number of persons = 4
Now, the fraction of the whole pie each person will take :-
( Number of pie ) / ( total persons )
= ( 5 / 6) / 4
= ( 5 / ( 6 x 4 ) )
= ( 5 / 24 )
Therefore, the fraction of the pie each person get from Brenda = ( 5 / 24 )
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