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Evgen [1.6K]
3 years ago
7

You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has th

e best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.
The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.

Theatre A uses 2 cups of salt for
every 10 cups of oil.

Theatre B uses 1/8 cup salt for every cup of oil.

Theatre C uses 1 cup of salt for every 6 cups of oil.

For Theatre C, the ratio of oil to popcorn kernels can be described by the equation _____.

O = 4 × P
O = 1/4 × P
O = 3/16 × P
Mathematics
2 answers:
saw5 [17]3 years ago
8 0
B = 1/4xP not for sure but I think that’s it hope u get it right
Shtirlitz [24]3 years ago
5 0

i also want to understand lets see who answers it

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One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
Natalka [10]

Answer:

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

3 0
3 years ago
Read 2 more answers
A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.
juin [17]

Answer:

D 9.5

Step-by-step explanation:

Write data in increasing order.

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

Find the median

<u>3, 5, 5, 6, 6, 6, 7, 7, 8, 8,</u> 8, <u>8, 8, 8, 9, 9, 10, 10, 10, 10, 11</u>

Median is 8

Lower half of the data is : 3, 5, 5, 6, 6, 6, 7, 7, 8, 8,

First quartile is the median of the lower half of the data=6+6 /2 =6

Upper half of the data is: 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

The Third quartile is the median of the upper half=9+10 / 2 = 9.5

<u />

3 0
3 years ago
Read 2 more answers
Given f (x) = -3x - 1, solve for x when f (x) = -4
Aleks [24]
Answer:
11
Explanation:
f(x) = -3x - 1 when f(x) = -4
f(x) = -4 * -3 -1 = 12 - 1 = 11
8 0
3 years ago
1/4×10/12 simplest form
Mashcka [7]

Answer:

10/48 - 2/24 - 1/12

Step-by-step explanation:

answer is 1/12

3 0
2 years ago
Bulletin board is 8 feet long and 5 feet wide. How many feet of border does it need?
Musya8 [376]
8 × 5 = 40

So the border has to be 40 feet.

Hope this helps!

Work:

length × width = answer

length = 8
width = 5
answer = 40
7 0
3 years ago
Read 2 more answers
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