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Solnce55 [7]
3 years ago
14

you plan to open a lemonade stand near where you live. The cost to buy the wood is $60 and the cost to make the lemonade is $3 p

er cup. You plan to sell each cup pf lemonade for $5. Let x be the number of cups of lemonade sold. Write a function P(x) that represents the total profit you earned from selling x cups of lemonade
Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

P(x)=2x-60

Step-by-step explanation:

From the information provided, the function P(x) would indicate that the total profit you earned from selling x cups of lemonade is equal to the result of multiplying the price per cup for the number of cups minus the total cost. This cost is the result of adding up the cost of buying wood plus the cost per cup for the number of cups:

P(x)=5x-(60+3x)

P(x)=5x-60-3x

P(x)=2x-60

According to this, the function is: P(x)=2x-60.

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A designer enlarged both the length and the width of a rectangular carpet by 60 percent. The new carpet was too large so the des
Snowcat [4.5K]

x= length, y=width

Both the length and width were increased by 60% so now they are:

1.6x and 1.6y

Then they were both reduced by 25% so now they are 75%(100-25) of their previous size so they are:

0.75(1.6x) and 0.75(1.6y)

Their area would be length * width so it would be:

0.75(1.6x) * 0.75(1.6y)

Simplified this would be:

1.2x * 1.2y

Simplified more it would be :

1.44xy which is also 144% of xy which is a 44% increase of the original area (xy)


So the answer is:

44%



5 0
3 years ago
Solve for x. Show each step of the solution. 5.5(8-x)+44=104-3.5(3x+24)
earnstyle [38]
5.5 ( 8 - x ) + 44 = 104 - 3.5 ( 3x + 24 )

Distribute 5.5 through the parenthesis.

44 - 5.5x + 44 = 104 - 10.5x - 84

Add the numbers.

88 - 5.5x = 20 - 10.5x

Move variable to the left side and change its sign.

88 - 5.5x + 10.5x = 20
-5.5x + 10.5x = 20 -88

Collect like terms.

5x = 20 - 88

Calculate the sum or difference. 

5x = - 68

Divide both sides by 5.

x = - 68 / 5
4 0
3 years ago
9x + 3y = 4<br> 7x + 3y = 20
xeze [42]

Answer:

x=-8, y=76/3

Step-by-step explanation:

I solved for substitution since I didn't know exactly what you're solving for.

5 0
3 years ago
What’s the answer guys?
never [62]

Answer:

the first one is the answer, with maybe the third if you can choose multiple.

Step-by-step explanation:

Let's go throught hese one at a time.  First though it is important to note that the poitns look like they are going upward.  So we want a relationship that it makes sense  as one increases so does the other.

the amount of money made made compared to the amount of items sold

So, pretending we run a store.  Does it make sense that if we make more money more items were sold?  I would say so.

the amoutn of ink left in a pen compared to the time using it

Doe sit make sense that as the amount of ink increases the time using it increases?  i would say no, because ink usually decreases the more it is used.

the amount of money in your account compared to the number of stores that you shop at

Does it make sense that if you have more money in your account you shop at more stores?  I think so, though the first one still makes the most sense if you can only pick one.  Since it doesn't seem directly to imply that, I would say it makes more sense that you just but more in general, not necessarily from more stores.

the number of goals scored in a soccer match compared to the number of red cards given

does it make sense that more goals would also have more red cards?  i don't think so, though I don't know soccer that much.  it doesn't seem like goals mean there should be any more red cards.

So in total it seems like the first one is the answer, with maybe the third if you can choose multiple.  

4 0
3 years ago
Find the value of x. Round to the nearest tenth
levacccp [35]

Answer:

70.5

Step-by-step explanation:

Refer to attached image

8 0
3 years ago
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