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siniylev
4 days ago
11

The function, f(x) = 70n-400, models the profit if the instructor of a guitar class per month, where n is the number of students

enrolled in the class. How many students must be enrolled in the class for the instructor to make a profit? How many students must be enrolled in the class if the instructor needs to make $1,000.00 profit per month?
Mathematics
1 answer:
Inessa [8.9K]4 days ago
6 0
F(x) = 1,000. 70n - 400 = 1,000. 70n = 1,000 + 400. 70n = 1,400. n = 1,400/70. n = 20. The instructor requires 20 students.
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The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft
lawyer [9226]

Answer: It’s two trees

Step-by-step explanation:

Given that the city plants a tree every 20 feet along Dayton Avenue, we first need to establish the length of the side that faces Dayton Avenue.

We currently have three sides unaccounted for. However, it’s crucial to note that the side next to Dayton Avenue has the same length as the two unaccounted sides combined. This equivalence holds because both lengths include the 1 feather and 2 feather markers, confirming congruence.

Thus, the sum of both side lengths will be 234-52-68=114.

Consequently, the side next to Dayton Avenue measures

114\div2=57 feet.

Having determined that this side is 57 feet long, we divide this length by 20 to find the tree planting intervals. Since the planting occurs only in complete 20-foot segments, if the division results in a decimal, we must round down. A tree is only planted if complete segments of 20 feet are reached.

57\div20=2.85

This rounding process gives us 2.

I hope this clarifies!

3 0
1 month ago
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An element with mass 210 grams decays by 8.3% per minute. How much of the element is remaining after 15 minutes, to the nearest
PIT_PIT [9101]

Answer:

57.2 g

Step-by-step explanation:

0 0
17 days ago
In a state where tax is 5%, Jane bought a telescope and paid $4.55 in tax. What is the price of the telescope?
tester [8808]
The telescope’s cost is $91

4.55 divided by 5% (0.05) equals 91.
7 0
1 day ago
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a resorvoir can be filled by an inlet pipe in 24 hours and emptied by an outlet pipe 28 hours. the foreman starts to fill the re
zzz [9066]
To determine the rates at which the inlet and outlet pipes fill and empty the reservoir, we remember that work done equals rate multiplied by time. Let’s denote the inlet rate as i and for the outlet pipe as 0. Therefore,
i(24) = 1
o(28) = 1
In this context, the '1' represents the total number of reservoirs, since the problem states the time needed for each pipe to either fill or empty a singular reservoir. Solving for rates yields:
i = 1/24 reservoirs/hour
o = 1/28 reservoirs/hour

Over the first six hours, the inlet pipe fills (1/24)(6) = 1/4 reservoirs and during the same period, the outlet pipe empties (1/28)(6) = 3/14 reservoirs. To calculate the net volume of the reservoir filled, we subtract the emptying total from the filling total:
1/4 - 3/14 = 1/28 reservoirs (note that if emptying exceeds filling, a negative value results. In such cases, treat that negative value as zero, indicating that the outlet rate surpasses the inlet rate, leading to an empty reservoir).
Now we need to find out how long it will take to fill up one reservoir since we’ve already partially filled 1/28 of it, after closing the outlet pipe. In simpler terms, we need to determine the time required for the inlet pipe to finish filling the remaining 27/28 of the reservoir. Fortunately, we have already established the filling rate for the inlet pipe, leading to the equation:
(1/24)t = 27/28
Solving for t gives us 23.14 hours. Remember to add the initial 6 hours to this result since the question seeks the total time. Thus, the final total is 29.14 hours.

Please ask me any questions you may have!
4 0
1 month ago
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Question: Sara started her homework at 5:30 p.M. And finished it at 9:15 p.M. How much time did she take to finish her homework?
Svet_ta [9486]

Explicación detallada:

530 p.m. = 17:50 en 24 horas/tipo militar

915 p.m. = 21:15 en 24 horas/tipo militar

por lo tanto..

24 horas/tipo militar. 21:15 - 17:50 = 3.65 horas

en nuestro tiempo. 3 horas 45 minutos

3 0
14 days ago
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