Answer:
Step-by-step explanation:
Given
Required
The new coordinates after reflected across y-axis and shifted 2 units down
When a point is reflected across the y-axis, the rule is:
So:
When a point is translated 2 units down, the rule is:
So:
So, the new coordinates are:
Answer:
90
Step-by-step explanation:
5x – 2y + (7x – y)
Combine like terms
12x -3y
Let x = 7 and y = -2
12(7) -3(-2)
84 +6
90
Answer: 9 Apples
Step-by-step explanation:
Given the following :
Total number of bags = 12
Mean of the distribution(m) = 8
Number of apples (x):
6 - - - - 7 - - - - 8 - - - - 9 - - - - 10
Frequency (f) :
1 - - - - 4 - - - - 2 - - - - 3 - - - - 1
Therefore :
Let number of apples in the 12th bag = y
Frequency of 12th bag : (12 - 11) = 1
Mean of distribution(m) :
Sum of ( f * x) / sum of f
Sum of (f * x) = (6*1)+(7*4)+(8*2)+(9*3)+(10*1)+(y*1)
Sum of (f * x) = (6+28+16+27+10+y) = 87 + y
Sum of f = 12
From :
m = Sum of ( f * x) / sum of f
8 = (87 + y) / 12
87 + y = 12 * 8
87 + y = 96
y = 96 - 87
y = 9
Number of apples in 12th bag is 9 apples
the coach makes a total volume of 60 L of a sports drink
we have to find the number of cups he can fill with the drink
1 cup is equivalent to 0.5 pints
so we have to first convert L to pints
1 L = 2.11 pt
then 60 L = 126.6 pt
the volume of sports drink made is 126.6 pt
so 0.5 pt make - 1 cup
then 126.6 pt make - 1 / 0.5 x 126.6 = 253.2 cups
he can make 253 full cups and 0.2 of a cup
answer is 253.2 cups
