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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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What is a four digit whole number that is divisble by 2​
valentinak56 [21]

Answer:

any even number is divisible by 2.  

Here's an example:  2222

There are lots of others as well.

3 0
3 years ago
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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

A =1500(375)-2(375)^2\\A=281250\ m^2

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0
3 years ago
Nineteen students were invited to michelle's party. Three more boys than girls were invited. How many boys were invited?
bekas [8.4K]
11 boys and 8 girls because you divide it in half the add 2 and subtract 1. That isn't the wy you are supposed to do it but it works and makes since in my head.
7 0
3 years ago
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An article estimates, with 90% confidence, that the proportion of elementary school teachers who are female is 82%. The article
GREYUIT [131]

Answer:   (80% , 85%)

Step-by-step explanation:

We know that, confidence interval for population proportion is given by :-

(p-E , p+E)

, where p = sample proportion , E = Margin of error.

Given : Proportion of elementary school teachers who are female = 82%.

The article also states the maximum error of their estimate = 3%.

Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :

(82%-2% , 82%+3%)

= (80% , 85%)

Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)

5 0
3 years ago
Lesson Posttest
stepladder [879]

Answer:

1

Step-by-step explanation:

Probability = number of fruit type/total number of fruit. Total number of fruit = 5 + 9 + 5 = 19.

The probability of drawing an apple is P(apple) = number of apples/total number of fruit = 5/19.

The probability of drawing a peach is P(peach) = number of peaches/total number of fruit = 9/19

The probability of drawing an apple is P(orange) = number of oranges/total number of fruit = 5/19

The probability of drawing either an apple, peach or orange at the first draw of fruit from the bag is

P(apple or peach or orange) =  P(apple) + P(peach) + P(orange)

                                               = 5/19 + 9/19 + 5/19

                                               = (5 + 9 + 5)/19

                                               = 19/19

                                               = 1

3 0
3 years ago
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