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AlexFokin [52]
3 years ago
12

You work at Dave's Donut Shop. Dave has asked you to determine how much each box of a dozen donuts should cost. There are 12 don

uts in one dozen. You determine that it costs $0.27 to make each donut. Each box costs $0.16 per square foot of cardboard. There are 144 square inches in 1 square foot. Whats an expression to model the number of donuts in b boxes?
Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

Donuts(b) = 12*b

Step-by-step explanation:

Notice that the question is:

What's an expression to model the number of donuts in b boxes?

We know that we are talking of boxes of a dozen donuts.

We know that in one dozen, we have 12 donuts.

Then if we have b boxes, and in each box we have 12 donuts, we will have a total of b times 12 donuts, the expression is:

Donuts(b) = 12*b

There is a lot of information here that we did not use (like the cost of cardboard and donuts), and that may be there just to distract us, the important thing to do here is:

See what is the thing we want to find (in this case, the number of donuts in b boxes)

Find the relevant information to solve this. (ignore the irrelevant information)

Solve the question.

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Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B
Ganezh [65]

Answer:

Step-by-step explanation:

Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Write a system of equations to represent the cost at each studio.

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

Solve the system of equations from Part A. Explain your method.

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

   150 -75 = 75t -50t, combine likes terms

           75 = 25t, divide both sides by 25

             3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C

Explain what the solution to the system means in terms of where your band will rent a studio.

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

7 0
1 year ago
How is Pascal's triangle used in binomial theorem?.
Scorpion4ik [409]

To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

Learn more about triangle here

brainly.com/question/2773823

#SPJ4

7 0
1 year ago
Question 2
cluponka [151]

Answer:

4:5

Step-by-step explanation:

28:35

28/7:35/7

4:5

hopefully this helps :)

4 0
3 years ago
Draw a model that shows 0.16
daser333 [38]
So 0.16 is also equal to 16/100 so, just draw 100 squares and shade 16 of em'
3 0
3 years ago
Read 2 more answers
Please help me lol aaaaa
miss Akunina [59]

Answer:

−0.125 or - 1/8

Step-by-step explanation:

8 0
3 years ago
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