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murzikaleks [220]
2 years ago
8

Tickets to a school dance are sold for $10 each. The student council spent a total of $400 on set-up costs for the dance. The sc

hool's profit (p
), in dollars, from the dance depends on the number of tickets sold (1).
Which function describes the relationship between p and 1?
Mathematics
1 answer:
svlad2 [7]2 years ago
8 0

Answer:

P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 400

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After doing some work in the house, Bob and Carol want to put a concrete patio on the side of the house to keep people from trac
Irina-Kira [14]

Answer:

Volume= 2.92cubic yard

Step-by-step explanation:

Converting to ft

23ft9inches= 23+(9/12)=23.75ft

10ft 1 in= 10 +(1/12)= 10.083ft

4 inches= (4/12)=0.333ft

Volume= L×W×H

Volume= 23.75 × 10.083×0.33= 79.02ft^3

Converting to cubic yard

1 cubic foot= 0.037 cubic yard

79.02 cubic feet= 0.037× 79.02= 2.92cubic yard

4 0
2 years ago
At noodle & company restaurant, the probability that a customer will order a nonalcoholic beverage is .46. Find the probabil
skelet666 [1.2K]

Answer:

0.0021

Step-by-step explanation:

Given:

Probability of ordering a nonalcoholic beverage is, P(N)=0.46

Number of samples are n=10

Now, the complement of event 'N' is not ordering a nonalcoholic beverage.

Therefore, P(\overline N)=1-P(N)=1-0.46=0.54

Now, for a sample of '10' customers, the probability of not ordering a non alcoholic beverage is product of their individual probabilities as all these events are independent events.

Therefore, probability that none of the 10 will order a nonalcoholic beverage is given as:

=[P(\overline N)]^{10}\\\\=(0.54)^{10}\\\\=0.0021

5 0
2 years ago
Jay King, owner of a local Bed and Bath Store knows that his customers will only pay at most, $299 for a blow up bed. Assuming J
Roman55 [17]
If you would like to know the price Jay can pay the manufacturer for the blow up bed, you can calculate this using the following steps:

100% + 40% = 140%

140% of x is $299
140% * x = 299
140/100 * x = 299      /*100/140
x = 299 * 100 / 140
x = $213.6

40% of $213.6 = 40% * 213.6 = 40/100 * 213.6 = 85.44
$213.6 + $85.44 = $299

The correct result would be $213.6.
6 0
2 years ago
a hockey team ordered 12 wooden pedestals to mount their brass trophies on. The design pedestal is shown below. The teal is char
yKpoI14uk [10]

56 cause u need 12 divide by 0.08 12 times

8 0
2 years ago
Read 2 more answers
The tires of a tractor are 4.5 feet tall. How many 360-degree rotations do the tires make when the tractor travels 170 feet? Rou
slavikrds [6]
Hello! 

Ok so we have a tire 4.5ft in diameter. We want to know how many revolutions it makes in 170ft

So we have s=r*theta where s is arc length or distance traveled and r is the radius and theta is the angle in radians that it travels through, and this is what we want to know. We are given the rest so we have;

170ft=4.5ft/2 * theta so solving for theta we get 

theta=340ft/4.5ft = 75.56 radians so now we just convert radians to revolutions and we know pi=3.14rad and 2pi is one rev and to convert to degrees its radians*( 360/2pi)=deg and this reduces to 180/pi so we have;


75.56radians * 180/pi = 4329 degrees travelled through so to get revolutions we now just divide this by 360deg for total revs. So we have;

4329deg/360deg=12 revolutions

Hope this helps! Any questions please ask! Thank you so much!
5 0
2 years ago
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