Answer:
a. 9.5x + 6.5(x+c) < 8 when c>0
b. Must be one child more than the no. of adults.
Step-by-step explanation:
For Cinema 1:
for adult = $9.50
for child = $6.50
For Cinema 2:
Per person regardless of age = $8.00
First of all, we will find out the condition when per person rates in both cinema are equal.
Assume x = no. of adults
y = no. of children
Rate per person in Cinema I = Rate per person in Cinema II
(9.5x + 6.5y)/(x+y) = 8
9.5x + 6.5y = 8(x+y)
9.5x + 6.5y = 8x + 8y
9.5x-8x = 8y-6.5y
=> x = y
So rates are equal when no. of adults equals no. of children
For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8
Hence we form an inequality when y = x+c and c > 0
9.5x + 6.5(x+c) < 8 when c>0
Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.
Answer:
first one 5/8
Step-by-step explanation:
2 1/2 / 4 = 5/8
Answer:
you can't because they don't have common factors
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
By the geometric mean theorem,
Answer:
Each person get less than 1 cup of cider.
Step-by-step explanation:
1. Calculate the amount of cider served to each person:
Total amount of cider is 48 fluid ounces
Gus serves 7 people
Let Q the amouunt of cider served to each person:
Then, each person recived 6.85 fluid ounces of spiced cider.
2. Calculate the number of cups served:
Considering that 1 cup=8 fluid ounces, then:
That means that each person recived 0.85 cups of spiced cider.
Each person get less than 1 cup of cider.
