Answer:
5/6
Step-by-step explanation:
Answer:
C
Explanation:
B=Base Area
In a cylinder, the base area is a circle.
Area Circle=pi r^2
Replace base area with area of circle:
V=pi r^2 H
Answer:
The system if equation that can be used to derive this are
6x + 4y = 69 AND
12x + y = 96
The price of a drink is $7.5
Step-by-step explanation:
The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .
Now, Let's assume that the price of a drink is "X" and that of a bag of popcorn to be Y
The first person made a purchase which led to the equation
6x + 4y = 69______ equation 1
And the second person also made a purchase that lead to the equation
12x + y = 96_____ equation 2
We make y the subject of the formula in equation 2 and apply it in 1
Y = 96 - 12x
Now apply the above in equation 1
6x + 4y = 69
6x + 4(96 - 12x)= 69
6x + 384 - 48x = 69
42x = 384 - 69
X = 315/42
X = 7.5
Substitute x= 7.5 in equation 2
12x + y = 96
12(7.5) + y = 96
90 + y = 96
Y = 6
Therefore, the price of a drink is $7.5
Answer: After 3 hours both will have the same cost.
Step-by-step explanation:
Let x = Number of hours and y be the total cost.
Total cost = Initial cost + (cost per hour)(Number of hours)
At Mike's Bounce Shop,
Total cost (y)= 30+2x
At Jose's Bounce Rentals,
Total cost(y) = 12+8x
When both shops have the same cost, then
Total cost = 12+8(3)=12+24=$36
Hence, After 3 hours both will have the same cost.
Answer:
1 
bags
Step-by-step explanation:
Since Amar is cooking pasta for 14 people we can multiple the 14 by the 1/8 because it is 1/8 per person. Therefore, we get 14/8 and that can be changed in 1 and 6/8. Thus, the answer comes out the be 1 (6/8) bags.
