Ask question

Ask question

All categories

3 years ago

11

For the school play, adult tickets cost 4 and children tickets cost 2. Natalie is working at the ticket counter and just sold 20

worth of tickets. what are all of the possible ticket combinations for 20 worth of tickets?

1 answer:

Svetradugi [14.3K]3 years ago

8 0

The possible combinations of adult tickets and children tickets are : (0, 10), (1, 8), (2, 6), (3, 4), (4, 2), (5, 0)

<u><em>Explanation</em></u>

Suppose, the number of adult tickets is $x$ and the number of children tickets is $y$

Given that, adult tickets cost 4 and children tickets cost 2 and Natalie sold 20 worth of tickets. So the equation will be.....

$4x+2y=20\\ \\ 2y= 20-4x\\ \\ y= 10-2x$

If x = 0, then $y= 10-2(0)= 10$

If x = 1 , then $y= 10-2(1)= 8$

If x = 2 , then $y= 10-2(2)= 6$

If x = 3 , then $y= 10-2(3)= 4$

If x = 4 , then $y= 10-2(4)= 2$

If x = 5 , then $y= 10-2(5)= 0$

If we take x value greater than 5 , then y will become negative which is not possible.

So, the possible combinations of adult tickets and children tickets are : (0, 10), (1, 8), (2, 6), (3, 4), (4, 2), (5, 0)

You might be interested in

Sholpan [36]

Solution
Since the sum of the consecutive angles of a parallelogram is equal to 180°, the two other consecutive angles of the parallelogram have the angle measure
180°- 36° = 144°.

Since the opposite angles of a parallelogram are congruent, the angle opposite to the given one of 36° has the angle measure of 36° too.

Answer. The rest of the angles of the parallelogram have the angle measure of 144° (the consecutive angle), 36° (the opposite angle), and 144° (the second consecutive angle).

7 0

3 years ago

Read 2 more answers

How old George Washington?? Pls lmk I need ASAP

arsen [322]

Answer: 67 Years old

He lived from 1732-1799

7 0

2 years ago

A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i

kirza4 [7]

Answer:

It would take 2 second to reach its maximum height.

The maximum height of the ball is 43.6 meters above the ground.

Step-by-step explanation:

Consider the provided function.

$h(x)=-4.9x^2+19.6x+24$

The above function's graph is a downward parabola and the maximum of the downward parabola is at its vertex.

We can find the x coordinate of the function using the formula: $\frac{-b}{2a}$

Substitute a=-4.9 and b=19.6 in $\frac{-b}{2a}$

$x=\frac{-19.6}{2(-4.9)}$

$x=\frac{19.6}{9.8}$

$x=2}$

Hence, it would take 2 second to reach its maximum height.

Substitute x=2 in above formula.

$h(2)=-4.9(2)^2+19.6(2)+24$

$h(2)=-19.6+39.2+24$

$h(2)=43.6$

Hence, the maximum height of the ball is 43.6 meters above the ground.

6 0

3 years ago

Raulf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record find unit rate round your answer to the

scZoUnD [109]

Raulf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record find unit rate in flips per seconds. Round your answer to the nearest hundredth

Answer:

3.47 flips per seconds

Step-by-step explanation:

We are told that:

Raulf Laue of Germany flipped a pancake 416 times in 120 seconds

The unit rate = flips per seconds

Flips = 416 times

Seconds = 120

Hence, = 416 flips /120 seconds

= 3.4666666667 flips/seconds

Therefore, the unite rate approximately to the nearest hundredth is 3.47 flips/seconds.

3 0

3 years ago

A person calls people to ask if they would like to extend their automobile insurance beyond the normal3years. The probability th

Sonbull [250]

Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
37% say yes, hence $p = 0.37$

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.37)^{0}.(0.63)^{6} = 0.0625$

$p = 0.37(0.0625) = 0.0231$

0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

A similar problem is given at brainly.com/question/24863377

3 0

2 years ago