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3 years ago

Please Help, Lots of points

Mathematics

1 answer:

Andrei [34K]3 years ago

3 0

Answer:

9 cats

Step-by-step explanation:

x = cat

y = dog

Set up equations.

x + y = 30

4.5x + 8.5y = 219

Multiply first equation by 4.5 and subtract.

4.5x + 4.5y = 135

-(4.5x + 8.5y = 219)

-4y = -84

y = 21

Substitute this y value into the first equation

x + y = 30

x + 21 = 30

x = 9

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I have 700 trillion cats and 250 buildings that the cats live in, every 20 cats have 400 square feet of space,

emmasim [6.3K]

Answer:

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Step-by-step explanation:

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5 0

3 years ago

A restaurant averages ales of $120,000 when serving 20,000 guests. The restaurant's variable costs when 20,000 is $90,000. The c

Katarina [22]

Answer: Restaurant's monthly breakeven point in sales is $31333.

Step-by-step explanation:

Since we have given that

Number of guests = 20,000

Average sales = $120,000

Contribution margin per guest = $1.50

Let the number of sales be 'x'.

Cost per sales would be

$\dfrac{120000}{20000}\\\\=\$6$

Margin contributed by 2000 guests would be

$1.50\times 20000\\\\=\$3000$

So, Revenue function would be

$6x+3000$

Fixed monthly cost = $ 50,000

Variable cost for 20000 guests = $90000

So, Variable cost per sale would be

$\dfrac{90000}{20000}\\\\=\$4.5$

So, Cost function would be

$4.5x+50000$

Breakeven point would be

Cost function = Revenue function

$6x+3000=4.5x+50000\\\\6x-4.5x=50000-3000\\\\1.5x=47000\\\\x=\dfrac{47000}{1.5}\\\\x=\$31333.33\\\\x=\$31333$

Hence, Restaurant's monthly breakeven point in sales is $31333.

3 0

3 years ago

A bakery uses ounces of icing for every of a cake. What is the unit rate in ounces of icing per cake?

mr_godi [17]

Answer:

<u>The unit rate in ounces of icing per cake is 40 4/5 or 204/5</u>

Complete statement and question:

A bakery uses 10 1/5 ounces of icing for every 1/4 of a cake. What is the unit rate in ounces of icing per cake

Source: A previous question found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Size of icing for every 1/4 of a cake = 10 1/5 ounces or 51/5 ounces

2. What is the unit rate in ounces of icing per cake?

For answering the question, we will use the Rule of Three Simple, this way:

Unit rate in ounces of icing per cake * 1/4 of a cake = Total cake * Unit rate in ounces of icing per 1/4 of a cake

Replacing with the real values, we have:

Unit rate in ounces of icing per cake * 1/4 = 1 * 51/5

Unit rate in ounces of icing per cake = 51/5 / 1/4

Unit rate in ounces of icing per cake = 51/5 * 4/1

Unit rate in ounces of icing per cake = 204/5 ounces or 40 4/5 ounces

<u>The unit rate in ounces of icing per cake is 40 4/5 or 204/5</u>

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3 years ago

What is the solution to this system of equations? y=22x + 42

irga5000 [103]

Answer:

y=22x+42

y/x=22+42

y/x=64

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3 years ago

(2^(3)*(-2)^(3)*3^(3))/(2^(3*2)*4^(4(-2))*8^(3))=?

TEA [102]

Answer:

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Step-by-step explanation

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3 years ago