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Natali5045456 [20]
3 years ago
6

A group of roommates decide to split the cost of their groceries. If g is the amount spent on groceries and n is the number of r

oommates, the formula c= g/n determines each person’s share of the cost. If each person’s share was $104.50 and 6 roommates live in the house, what was the cost of the groceries?
A.
$627.00

B.
$604.50

C.
$574.16

D.
$174.17
Mathematics
1 answer:
NARA [144]3 years ago
7 0
The correct answer would be A, $627.
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Liam needs to borrow $25,200 to remodel his garage. He borrows the funds for 2 years at an interest rate of 9%. Find the maturit
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c an d is the correct answer

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1. A college newspaper, The College Spy, has a fixed production cost of $70 per edition and it costs 40¢ per copy to print and d
Mars2501 [29]

a. What is the cost expression for the newspaper? 


The cost would be the sum of fixed cost and the variable cost. The fixed cost is 70 while the variable cost is 0.40 x, where x stands for the number of copies made. That is:

Cost = 70 + 0.40 x            

where x = number of copies made


b. What is the revenue expression for the newspaper? 

The revenue would simply be the product of selling price and number of copies sold or made, that is:

Revenue = 0.50 x


c. Put the cost and revenue expressions into an inequality that would represent a successful newspaper. 


To have a successful newspaper, the difference of revenue and cost must be greater than 0, that is:

Revenue – Cost > 0

0.50 x – (70 + 0.40 x) > 0


d. How many copies should be sold to make a profit? Show all work! An answer with no work will receive 0 points. 

From the above equation, we solve for x.

0.50 x – (70 + 0.40 x) > 0

0.50 x – 70 – 0.40 x > 0

0.10 x > 70

x > 700

Number of copies made should be more than 700 copies


e. Now go back to your answer for d. On every line of your solution write what property of math you would use to justify the transformation that occurred. 

 

0.50 x – (70 + 0.40 x) > 0                Distribution property

0.50 x – 70 – 0.40 x > 0                    Addition property

0.10 x > 70                                           Addition property

x > 700                                                  Division property

4 0
3 years ago
3(4x + 10) = 12x + 20<br><br><br>How many solutions does this equation have ?​
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There’s No solution
7 0
2 years ago
sarah spent a total of 10 on oranges and apples at the supet market. if she spent 3 dollars less for oranges than she did on app
beks73 [17]

Let's write 2 equations from the two statements given.

<em>Sarah spent 10 dollars on both oranges and apples</em>

<em />

Let the price of oranges be "x" and price of apples be "y", thus we can write:

x+y=10

Oranges cost 3 less than apples, thus we can say:

y-3=x

We can substitute this into the first equation and solve for y:

\begin{gathered} x+y=10 \\ y-3+y=10 \\ 2y=10+3 \\ 2y=13 \\ y=\frac{13}{2} \\ y=6.5 \end{gathered}

Thus, let's solve for x now,

\begin{gathered} x=y-3 \\ x=6.5-3 \\ x=3.5 \end{gathered}

We want the price of oranges (x), thus,

<em>Price of Oranges = $3.50</em>

3 0
1 year ago
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