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Sergeu [11.5K]
3 years ago
12

Suppose 850 tickets were sold for a game for a total of $1100. If adult tickets cost $1.50 and children tickets cost $1.00, how

many of each tickets were sold?
Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0
500 adult tickets and 350 children tickets.

Check :
500A($1.5)=$750
350C($1)=$350

$750 + $350 = $1100         AND         500 + 350 = 850 tickets
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A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per mi
crimeas [40]

Answer:

450 minutes

Step-by-step explanation:

Given

w = 45000 - 100t

Required

Determine how long it'll take to empty the pool

Being empty means there's no water in the pool.

So, we have to set w to 0 to get the value of t

i.e w = 0

Substitute 0 for w in w = 45000 - 100t

0 = 45000 - 100t

Collect Like Terms

100t = 45000

Divide through by 100.

t = 450

Hence, it'll take 450 minutes to empty the pool

8 0
3 years ago
A frog moves in a sequence of unit steps. Each step is N, S, E or W with equal probability. It starts at the origin. Find the pr
Molodets [167]

The answer is 067.

It takes an even number of steps for the object to reach (2,2), so the number of steps the object may have taken is either 4 or 6 .

If the object took 4 steps, then it must have gone two steps $\mathrm{N}$ and two steps E, in some permutation. There are $\frac{4 !}{2 ! 2 !}=6$ ways for these four steps of occuring, and the probability is $\frac{6}{4^{4}}$.

If the object took 6 steps, then it must have gone two steps N and two steps E, and an additional pair of moves that would cancel out, either N / S or W/E. The sequences N, N, N, E, E, S can be permuted in $\frac{6 !}{3 ! 2 ! 1 !}=60$ ways. However, if the first four steps of the sequence are N, N, E, E in some permutation, it would have already reached the point (2,2) in four moves. There are $\frac{4 !}{2 ! 2 !}$ ways to order those four steps and $2 !$ ways to determine the order of the remaining two steps, for a total of 12 sequences that we have to exclude. This gives $60-12=48$ sequences of steps. There are the same number of sequences for the steps N, N, E, E, E, W, so the probability here is $\frac{2 \times 48}{4^{6}}$.

The total probability is $\frac{6}{4^{4}}+\frac{96}{4^{6}}=\frac{3}{64}$, and $m+n=067$.

What is probability?

  • Probability is synonymous with possibility. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one.
  • Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur.
  • This is the fundamental probability theory, which is also utilized in probability distribution, in which you will learn about the possible results of a random experiment.
  • To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

To learn more about probability visit:

brainly.com/question/11234923

#SPJ4

4 0
2 years ago
5/6(-4 1/2)(-2 1/5) what is the answer
Goshia [24]

Answer:

8.25 is the answer.

Step-by-step explanation:

Hope this helps!

8 0
2 years ago
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PLEASE HELP, GIVING 55 POINTS IF YOU ANSWER (08.03/08.05 MC) A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: E
Andrew [12]

Answer:

  A. (1, -2)

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Step-by-step explanation:

A. The equations can be solve by substitution by using the y-expression provided by one of them to substitute for y in the other.

This gives ...

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Adding 8-3x to both sides, we get ...

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Dividing both sides by 3 gives ...

  1 = x

Substituting this value into the first equation, we can find y:

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The solution is (x, y) = (1, -2).

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B. The lines intersect at the solution point, the point that satisfies both equations simultaneously. That point is (1, -2).

8 0
3 years ago
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Vlada [557]

Answer:

J is midpoint

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Therefore triangle FJG = HJG

3 0
3 years ago
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