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vazorg [7]
2 years ago
5

Joining the frequent visitor program at the planetarium costs $5 per year, write an equation that can be used to determine n, th

e number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member. Tickets cost $11 for each student who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member.
Mathematics
1 answer:
Andrej [43]2 years ago
7 0
11n + 5 = 13n <== ur equation
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Nathan is out rafting. He rafts 16 miles with the river current. At the end of 16 miles, he turns around and rafts the same dist
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S = d/t

st = d

t = d/s

The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4

The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.

t1 = 16/(9 + c)

t2 = 16/(9 - c)

t1 + t2 = 16/(9 + c) + 16/(9 - c)

4 = 16/(9 - c) + 16/(9 + c)

1 = 4/(9 - c) + 4/(9 + c)

(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)

81 - c^2 = 36 - 4c + 36 + 4c

81 - c^2 = 72

c^2 = 9

c^2 - 9 = 0

(c + 3)(c - 3) = 0

c + 3 = 0   or   c - 3 = 0

c = -3   or   c = 3

We discard the negative answer, and we get c = 3.

The speed of the current is 3 mph.
7 0
2 years ago
Read 2 more answers
What is the relationship between the unfinished puzzle and the missing piece
Mrac [35]
I would say that the unfinished puzzle has more than one piece and the missing piece is only one, itself.
7 0
2 years ago
Serena worked 18 hours last week for a landscaper. She worked 1/3 of those hours planting flowers and 1/2 of those hours mowing
Flura [38]

Answer: 6 hours

Step-by-step explanation:

18 ÷ 3 = 6 hours :)

5 0
2 years ago
The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. What does the attached gra
Sergeeva-Olga [200]

The attached graph tells me that the domain is [-k,∞) and the range of this function is  (-∞,c]. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query about this specific question.

4 0
2 years ago
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11. In a gym the ratio of men to women with membership is 5:2. If the gym has 735 persons with membership, how many men will the
Doss [256]

The ratio is 5:7 when you are dealing with total membership. In other words, out of every 7 members, 5 will be men and 2 will be women

The ratio will look like this

5:7 = x:735             change to a proportion

5/7 = x / 735          Cross Multiply

7*x = 5 * 735          Combine the right

7*x = 3675             Divide by 7

x = 3675/7             Divide

x = 525

Answer: 525 men

6 0
2 years ago
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