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yaroslaw [1]
3 years ago
10

Five people went to the concert for $227.50. If tickets are all the same price, how many people could go for $546?

Mathematics
1 answer:
Ilya [14]3 years ago
6 0
ANSWER: 12 people can go
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Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0
3 years ago
11. The regression equation y=2x + 8 represents how many minutes a sound will last after applying x pounds of pressure to the sy
Sidana [21]
Then y=2(4)+8
          =8+8
          =16

8 0
3 years ago
Isabella has 2 1/4 oranges. Colleen has 3 1/4 oranges. How many all together?
pentagon [3]
The answer is 5 1/2.
5 0
3 years ago
Read 2 more answers
Of the 100 entries in a costume contest, 39 entrants were dressed as heroes and 45 entrants were wearing a mask. If 21 entrants
ehidna [41]

Correct question with correct options has been attached

Answer:

37

Step-by-step explanation:

Let C represent those dressed as heroes and let B represent those wearing mask

Thus;

n(C) = 39

n(D) = 45

We are told that 21 entrants were dressed as heroes wearing a mask.

Thus; n(C n D) = 21

We are also told that there were a total of 100 entries.

Thus, n(T) = 100

Now, number of entrants neither dressed as heroes nor wearing a mask is given by;

n(T) - n(C u D)

n(C u D) = n(C) + n(D) - n(C n D)

n(C u D) = 39 + 45 - 21

n(C u D) = 63

Thus;number of entrants neither dressed as heroes nor wearing a mask is: 100 - 63 = 37

3 0
3 years ago
From 86 books to 150 books
Mademuasel [1]
150 books-86 books= 64 books.

We originally have 86 books, so the percent of increase is:
64 books/ 86 books* 100%= 74.42%

The percent of increase is 74.42%~
8 0
3 years ago
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