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IceJOKER [234]
3 years ago
15

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 each of the following ratio problems, use a double number line or an equation to solve. Type your answers as numbers.

If Theatre A uses 27 cups of popcorn kernels, how many cups of oil will they use?
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

for 15 cups of popcorn kernels, oil used = 5 cups

so, for for 27 cups of popcorn kernels, oil used = (5/15)* 27 cups

= 9 cups of oil

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Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg,
brilliants [131]

The lost pair of weight can be found by subtracting the a known pair from

the total weight leaving the value of the lost pair.

<u>The lost weight of a pair of boys is 120 kg</u>

Reasons:

Let <em>a</em>, <em>b</em>, <em>c</em>, and <em>d</em><em> </em>represent the weights of the four boys, we have;

The number of ways of selecting pairs (two boys) of boys from a group of

four is given using combination formula as follows;

_nC_r = \dfrac{n!}{r! \cdot (n - r)!}

Which gives;

_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6

₄C₂ = 6

Therefore, the weights of the pairs are;

a + b = 110

a + c = 112

a + d = 113

b + c = 118

b + d = 121

c + d = Lost weight

  • c + d = Lost weight

a + b + c + d = 230 (given)

Therefore;

The lost weight, c + d = 230 - (a + b)

Which gives;

c + d = 230 - (110) = 120

The lost weight = c + d = 120

  • <u>The lost weight = 120 kg</u>

Learn more here:

brainly.com/question/12974932

6 0
2 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
56 POINTS! Find the area of the following figure. Explain how you got your answer.
AleksAgata [21]

Answer:

26.5 units²

Step-by-step explanation:

I am splitting the figure into a rectangle and two triangles to make this easier for me.

The rectangle is b•h so 5•4 = 20 units²

Area of triangle=1/2bh

The left triangle is \frac{1}{2}(3•3) ---> \frac{1}{2}(9) ---> 4.5 units²

The right triangle is \frac{1}{2}(2•2) --->\frac{1}{2}(4) ---> 2 units²

Then add it all up: 20+4.5+2 = <u>26.5</u><u> </u><u>units²</u>

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2 years ago
the algebraic expression 6(2x)+9x+3 represents the area of a rectangle .what is the the area of the rectangle when x =3 feet
sashaice [31]

Answer:

66. Assuming after you substituted 3 in place of x, you followed order of operations, or PEMDAS.

Step-by-step explanation:

6(2x) + 9x +3 = area

6 (2(3)) + 9(3) + 3 = area

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Step-by-step explanation:

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