Brenda’s school is selling tickets to a spring musical. On the first day of ticket sales the school sold 6 adult tickets and 9 child tickets for a total of $108. The school took in $111 on the second day by selling 9 adult tickets and 5 child tickets. What is the price of each type of ticket?

Step-by-step explanation:

let 4x

6x

and x be the ratio

now

6x+4x+x=60

10x=60

x=60/10

x=6

again

6x

6×6

36

4x

4×624

and

x=6

Answer:

perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4

im not sure ask a professional

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

we have the following:

Therefore, the answer is 121.7 yards

The possible numbers that Melody could have picked are -4 and 4.

The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".

Given, Let x be the number Melody had chosen.

Thus, tripling the number will give 3x, and

squaring this will result to (3x)² which is equals to 9x².

Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:

9x²/2 ₋ 30 = 42

9x²/2 = 42 ₊ 30

9x²/2 = 72

9x² = 72 × 2

9x² = 144

x² = 144/9

x² = 16

x = ±√16

x = ±4

x = ₊4 or x = 4

hence melody could have picked ₊4 or ₋4 numbers.

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Answer: 14%

Step-by-step explanation: To find the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade, we divide the number of members who meet both criteria (14) by the total number of members (100) and multiply by 100 to get a percentage. Therefore, the probability is approximately 14%.

- Lizzy ˚ʚ♡ɞ˚

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

g(h(x))

Step-by-step explanation:

g(h(x))=

\((5 \div 3)( (- 12) {x}^{2} - 6x) + 1 = \\ (5 \times( - 12) {x}^{2} ) \div 3 - (5 \times 6x) \div 3 + 1 = \\ (5 \times (- 4) {x}^{2} ) -( 5 \times 3x) + 1 = \\ - 20 {x}^{2} - 15x + 1\)

Answer:

a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.

b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.

c) The probability of sampling at random a fish that has a size between the two values is 0.383.

d) The 25th and 75 percentiles of fish size for the population using the normal distribution table is 5.69 and 5.87 respectively.

e) The probability that the average calculated will be less than the value is 0.3707.

Step-by-step explanation:

For the given data set mean \((\mu) = 5.75913\)

Standard deviation \((\sigma) = 0.172229\)

Variance \((\sigma2) = 0.0296\)

Here we get is

a)

\(P(x < \mu - \sigma/2) = p(x < 5.673) \\\\ = 0.3085\)

b)

\(P(x < \mu + \sigma/2) = p(x < 5.845) \\\\= 0.3085\)

c)

\(P(\mu - \sigma/2 < x < \mu + \sigma/2) = p(5.673 < x < 5.845) \\\\= 0.383\)

d)

25th percentile:-

\(= 25*[(n+1)/100]th term \\\\= 5.69\)

75the percentile:-

\(= 75*[(n+1)/100]th term\\\\ = 5.87\)

e)  

\(p(x < \mu - \sigma/3) = p(x < 5.7017) \\\\= 0.3707\)

Triangles QNR and RMQ are congruent

PQR is an isosceles triangle, by extension PQ = PR.

Considering the triangles QNR and RMQ:

Given that angle MRQ = angle NQR.

Likewise, angle RQM = angle RQN (since they are vertically opposite angles).

Consequently, angle MRQ = angle RQM + angle NQR = angle RQN + angle NQR = angle RNQ.

Hence, two pairs of angles that are equal:

angle MRQ = angle RNQ

angle RMQ = angle RQN

Also, PQ = PR, and for M and N are on PQ and PR at the same time, then, MQ = NR.

Through the angle-side-angle (ASA) congruence criterion, we can conclude that triangles QNR and RMQ are congruent.

Therefore, we have proved that triangles QNR and RMQ are congruent.

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Answer:

the first on right is the true statement

Answer:

Step-by-step explanation:

3/8 = 0.375

1/2 = 0.5

0.375 ÷ 0.5 = 0.75

3/8 ÷ 1/2 = 3/4

Hope this helps! <3

Answer:

Divide 28 by 8. the answer is $3.50. That’s the money you pay per gallon. Multiply 3.50 by 15 and the final answer is: 52.50

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

See the attached image.

Answer: 20, and 52

Step-by-step explanation: lets "translate" the sentence

one number=a

the other numebr b=2a+12

a+b=72

a+2a+12=72

3a=72-12

3a=60

a=60/3=20

a=20

b=52

a=b=72

Answer:

Solid

Step-by-step explanation:

All of the particles are closely pressed to gather and they are not freely moving around, instead, they are just vibrating. This is what happens in solids, the particles are so close together that objects cannot move through them.

Answer:

22 people

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

11/4

Applying the fractions formula for division,

11x8

4x1

Simplifying 88/4, the answer is

Answer:

4.2

Step-by-step explanation:

In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2

So if x√2 = 6, x = 3√2

3√2 is approximately 4.2

Hope this helps.

Answer:

20%

Step-by-step explanation:

Probability of ordering large

= 5/(8 + 12 + 5) = 5/25 = 1/5

= 1/5 *100 = 20%

Answer:

5%

Step-by-step explanation:

Total outcome is 100

Favorable outcome is 5

The probability that a customer ordered a large cold drink is

\(\frac{5}{100}\) = \(\frac{1}{20}\) = 5%

Answer:

$8.64

Step-by-step explanation:

Since she buys 2 candys for 0.68 you multiply it by two

(0.68x2)

Then you get $1.36 So her candy cost $1.36

Now you take her 10.00-1.36 and you get 8.64 dollars or change left.

I hope this was helpful :)

Answer:

she will receive $8.64 of change

Step-by-step explanation:

2x0.68= 1.36 (2 for the 2 candies and 0.68 for the price of each one)

10-1.36=8.64 (subtract $1.36 from 10)

Find the x- and y-intercepts of the graph.

(Use a comma to separate answers as​ needed.)

s

Answer:

πr2h

3

Step-by-step explanation:

Answer:

They are the same amount of pizza.

Step-by-step explanation:

    Stella cut her pizza into 4 pieces. If she eats 2 pieces, then she has eaten half of her pizza. Likewise, Brian cut his pizza into 8 pieces. If he eats 4 pieces, then he has eaten half of his pizza. Therefore, they have both eaten the same amount of pizza.

Model:

Step-by-step explanation:

0,4 ft

It can be convinient to let a spreedsheet compute the values for you

Here we have written an expiliclit formula for the height of the 9th bounce

H= 5.5 x 0.64'(n-1)

We have written the formuka this way beacause we are given the height of the firrrst bounce not the satrting height so as you see each bounce multiples the height by a factor of 0,64 then the 7th bounce will be

H= 5.5 x 0.64'6 = 0.378 = 0,4 feet

Answer: 1

Step-by-step explanation:

Answer:

False. The product of two negative integers is a positive integer.

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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The probability that the technical problem is solved can be defined as follows:

The probability that P solves the problem or probability that Q solves the problem or probability that both (P and Q) solve the problem

The probability that P solves the problem = 1/2

The probability that Q solves the problem= 1/4

The probability that both solve the problem = (1/2) x (1/4) = 1/8

The probability that the technical problem is solved =

The correct option is C