Answer:The new cost per person= $19 when there are 12 people
Step-by-step explanation:
Step 1
Let Number of people be rep as N
And Cost per person = C
such that the relationship of number of people which varies inversely with the cost per person is given as
N∝ 1/C
Introducing constant of proportionality, k, we have that
N= K/C
such that when there were 4 people the cost per person was $57, K would be
N= K/C
4 = K /57
k= 57 X 4
k=228
Step 2
Therefore If the number of people changed to 12, cost per person would be
N= K/C
12= 228 / C
C= 228/12
C= 19
The new cost per person= $19 when there are 12 people
Answer:
There will be 49 fl oz of Orange Juice and 77 fl oz in total.
Step-by-step explanation:
The ratio for Orange Juice to Sparkling Water is 7:4, so for every multiple of 4 your using of water, your using that number times 7 for Orange Juice. We are given the amount of water being used, which is 28 fl oz, so we divide that by 4 to get 7, then we multiply that by 7 for the Orange Juice and get a total of 49 fl oz of Orange Juice. The last step is to add the two totals together to get the grand total, and since we have 49 fl oz of Orange Juice and 28 fl oz or Water, we add those 2 numbers together to get 77 fl oz of Punch.
Based on our conversation above, we can then easily find the missing x-coordinate. If the equation for line BC is y = 6*x - 11 and we know that the y-coordinate is 13, then
13 = 6*x - 11
24 = 6*x
4 = x
The x-coordinate is 4.
Answer:
POSITIVE
Step-by-step explanation:
Because the product of 2 negative numbers is a positive number
Answer:
10 / 9
Step-by-step explanation:
Let's suppose the other fraction is x. We are given 3 / 5 * x = 2 / 3
We can divide by 3 / 5 on both sides, which is the same as multiplying 5 / 3 on both sides:
5 / 3 * 3 / 5 * x = 2 / 3 * 5 / 3
This simplifies to:
x = 10 / 9
