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Roman55 [17]
4 years ago
9

John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per sessio

n. He estimates that for every $2 increase in the fee, the average number of students reduces by 1.
Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.
Mathematics
2 answers:
avanturin [10]4 years ago
8 0

Answer: c(x)=-2 x2 + 16x + 168

Step-by-step explanation: I hope this helps if im wrong im srry!

Lerok [7]4 years ago
8 0

Answer:

c(x) =  - 1(x - 7.5)^{2} + 222.25

I apologize if this is the wrong format. It's also extremely complicated to explain.

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A bookstore had 60 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 2/3 of what remained. How many copies do
Inga [223]
The bookstore has 4 copies left
8 0
3 years ago
Read 2 more answers
Alexis washes 10 1/2 windows in 3/4 hours. At this rate, how many windows can she wash in one hour?
Zepler [3.9K]

Alexis can wash a total of 14 windows in 1 hour

<h3><u>Solution:</u></h3>

Given that Alexis washes 10\frac{1}{2} windows in \frac{3}{4} hours

<u><em>To find: </em></u>number of windows washed in one hour

To simplify the calculations we will convert the given mixed fraction to improper fraction

\begin{array}{l}{=10 \frac{1}{2}} \\\\ {=\frac{2 \times 10+1}{2}} \\\\ {=\frac{21}{2}=10.5}\end{array}

Hence, to wash 10.5 windows, Alexis takes 0.75 hours

Let "n" be the number of windows washed in 1 hour

10.5 windows ⇒ 0.75 hours

"n" windows ⇒ 1 hour

By cross-multiplication we get,

n \times 0.75 = 10.5 \times 1

n = \frac{10.5}{0.75} \\\\n = 14

Thus Alexis can wash 14 windows in one hour

4 0
4 years ago
Average Inventory The DeMarco Pasta Company receives 600 cases of imported San Marzano tomato sauce every 30 days. The number of
lesya692 [45]

Answer: The average daily inventory is 200 cases.

Step-by-step explanation:

Since we have given that

N(t)=600-20√30t

We need to find the average daily inventory.

\dfrac{1}{b-a}\int\limits^a_b {600-20\sqrt{30t}} \, dt\\\\=\dfrac{1}{30}\int\limits^{30}_0 {600-20\sqrt{30t}} \, dt \\\\=\dfrac{1}{30}[600t-\dfrac{20(30t)^\frac{3}{2}}{45}|_0^{30}\\\\=\dfrac{1}{30}[18000-\dfrac{20\times 30^3}{45}]\\\\=\dfrac{1}{30}[18000-12000]\\\\=200

Hence, the average daily inventory is 200 cases.

7 0
3 years ago
A standard roulette wheel has 38 numbered slots for a small ball to land in: 36 are marked from 1 to 36, with half of those blac
Anastasy [175]

Answer:

The expected value of betting $500 on red is $463.7.

Step-by-step explanation:

There is not a fair game. This can be demostrated by the expected value of betting a sum of money on red, for example.

The expected value is calculated as:

E(G)=\sum p_iG_i

being G the profit of each possible result.

If we bet $500, the possible outcomes are:

- <em>Winning</em>. We get G_w=$1,000. This happens when the roulette's ball falls in a red place. The probability of this can be calculated dividing the red slots (half of 36) by the total slots (38) of the roulette:

P(R)=R/T=18/38\approx0.4737  

- <em>Losing</em>. We get G_l=$0.  This happens when the ball does not fall in a red place. The probability of this is the complementary of winning, so we have:

P(not \,R)=1-P(R)=1-18/38=20/38\approx 0.5263

Then,  we can calculate the expected value as:

E(G)=\sum p_iG_i=p_wG_w+p_lG_l=0.4637*1,000+0.5263*0=463.7

We expect to win $463.7 for every $500 we bet on red, so we are losing in average $36.3 per $500 bet.

4 0
3 years ago
Jessica is bringing cupcakes to school for her birthday. She is placing them in a rectangular box that can fit 4 more cupcakes l
elena55 [62]

Answer:

the amount of cupcakes

Step-by-step explanation:

you said the amount of cupcakes can be represented by

5 0
3 years ago
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