Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. If 240
tickets were sold for a total of $1275.00, how many student tickets were sold?

Answers

Answer 1

Answer:Set it up as two equations.  Start off by stating that x= the number of adult tickets, and y= the number of student tickets.

6x+4.5y=2175

x+y=430

State that y = 430-x, and substitute it into the second equation 6x +4.5(430-x)= 2175.

Solve for x.  Then plug in what you get for x into the x+y=430 equation and solve for y.  Your number of adult tickets should equal 160, and your number of child tickets should equal 270.

Step-by-step explanation:


Related Questions

What is the vertex of the graph of f (x) = 2x2 – 4x ?​

Answers

X=1, if you move the variables to the left and then divide both sides of the equation by 4, you would get x=1

Answer:

Step-by-step explanation:

vertex at  (x,y)=(1,−1)

axis of symmetry:  x=1

mark brailiest

The diameters of bolts produced by a certain machine are normally distributed with a mean of 1.20 inches and a standard deviation of 0.01 inches. What proportion of bolts will have a diameter greater than 1.211 inches

Answers

Answer:

0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 1.20 inches and a standard deviation of 0.01 inches.

This means that [tex]\mu = 1.20, \sigma = 0.01[/tex]

What proportion of bolts will have a diameter greater than 1.211 inches?

This is 1 subtracted by the p-value of Z when X = 1.211. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.211 - 1.20}{0.01}[/tex]

[tex]Z = 1.1[/tex]

[tex]Z = 1.1[/tex] has a p-value of 0.8643.

1 - 0.8643 = 0.1357

0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches

Please help me!!!

Find the measure of angle x in the figure below:

Answers

Answer:

Step-by-step explanation:

48° is the answer to the question

how do you prove a theorem?​

Answers

Answer:

Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction.

Step-by-step explanation:

Answer:

There are many different ways to go about proving something, discuss 3 methods: direct proof, proof by contradiction, proof by induction. Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction

hope this helps

have a good day :)

Step-by-step explanation:

give the other person brainliest pls

Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Assume that the distributions for each state are normal and that all variances are equal.

Arkansas 4.8 4.9 5.0 5.4 5.4 5.4 5.6 5.6 5.6 5.9 6.0 6.1
California. 1.5 3.7 4.0 4.5 4.9 5.1 5.3 5.4 5.4 5.5 5.6 5.6
Texas. 5.6 5.8 6.6 6.9. 6.9 6.9 7.1 7.3 7.5 7.6 7.7 7.7

Answers

Answer:

Texas Texas Texas is I think right

No, the claim that the three samples are from populations with the same mean is not correct and this can be determined by using the given data.

Given :

The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level.

The Hypothesis test is given below:

Null Hypothesis: [tex]H_0:\mu_1=\mu_2=\mu_3[/tex]

Alternative Hypothesis: [tex]H_a:\mu_1\neq \mu_2\neq \mu_3[/tex]

For the F-test, the test statistics is given by:

[tex]F = \dfrac{MS_{\rm{between}}}{MS_{\rm{within}}}[/tex]

Now, substitute the values of known terms in the above expression.

[tex]F = \dfrac{15.8252}{0.6896}[/tex]

[tex]F = 22.95[/tex]

So, the p-value regarding the value of F is:

[tex]P-value=P(F>22.95)[/tex]

[tex]P-value = 1.0.9999[/tex]

[tex]P-value = 0.0001[/tex]

The Null Hypothesis is rejected because P-value is less than the significance value.

For more information, refer to the link given below:

https://brainly.com/question/10758924

show me an example of fibonacci sequence

Answers

Answer:

See Below

Step-by-step explanation:

The fibonacci sequence is a recursive type sequence where each term is the sum of the two previous terms. The sequence starts out as:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811...

The fibonacci sequence can be found in nature quite often. For example, it is found in "the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bract". It can also be found in the number of tree branches in each row.

Another cool place it can be found is in the diagonals of pascals triangle (shown in the image attached)

*Disclaimer: I do not own any of the images

length of a rectangle is 2 metre and the breadth is 50 find the ratio of a length to the breadth of a rectangle​

Answers

75

explaining
not sure sorry good luck

Find the Surface Area of this Prism

Answers

Answer:

[tex]54 m^2[/tex] is the correct answer I believe

Winston works selling bicycles.
He is paid a flat rate of $200 plus $50 for every bicycle that he sells.
How many bicycles must Winston sell to earn at least $650?

Answers

Answer:

3

Step-by-step explanation:

650/250 = 2.6 (3)can't sell half a cycle

What combination of transformations is shown below?

Answers

Answer: D) Translation, then reflection

Explanation:

To go from figure 1, to figure 2, we apply a translation (aka "shifting"). Specifically, we translate 3 units to the right and 4 units up.

To go from figure 2 to figure 3, we apply a reflection. The mirror line is vertical and it is along the shared segment of figures 2 and 3.

if you were to roll a dice one time what is the odds of rolling a number less than three?

Answers

Answer:

1/3

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome. On a fair die, the number are 1 to 6 while 1 and 2 are the only numbers less than 3.

Hence the odds of getting  a number is the ratio of 6 to 6 while the odds of getting a number lower than 3 will be

= 2/6

= 1/3 (in the lowest term)

This is because the odd of getting 1 is 1/6 and the odd of hetting 2 is 1/6 9 recall that both numbers appear once on a die). Hence the odd of getting 1 or 2 will be

= 1/6 + 1/6

= 2/6

=1/3

angle DAC= angle BAD
what is the length of side bd round to one decimal place

Answers

Answer:

BD ≈ 2.8 units

Step-by-step explanation:

By angle bisector theorem,

"If a segment bisects an angle of a triangle, then it divides the opposite side  into the segments which are proportional to the other two sides"

Here, AD is the bisector of the ∠BAC,

[tex]\frac{BD}{CD}=\frac{AB}{AC}[/tex]

[tex]\frac{8.1}{5.9}= \frac{BD}{2}[/tex]

BD = [tex]\frac{2\times 8.1}{5.9}[/tex]

BD = 2.75

BD ≈ 2.8 units

How many different squads of 5 players can be picked from 10 basketball players? ​

Answers

Answer:

2 squads of five can be picked from 10 basketball players

Step-by-step explanation:

To solve this problem you have to divide 10 ÷ 2 which equals to 5.

can you help me solve for x.​

Answers

Answer:

x=4

Step-by-step explanation:

Can someone pls help me 26 x 2/3

Answers

Answer:

52/3

Pretty simple just multiply 26 to the 2 and put the 3 to the bottom.

Answer:

C, and D are both correct options.

Step-by-step explanation:

Have a nice day! :-)

42-(32+4)+7
Evaluate the following expression

Answers

Answer:

13

Step-by-step explanation:

42 - (32 + 4) + 7 =

42 - 36 + 7 =

13

Answer:

15.

Step-by-step explanation:

Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.

I hope this helped, have a nice day.

PLEASE HELP
Find the measure of angle.

Answers

Answer:

39

Step-by-step explanation:

180-73-68

Shelia is baking a few cakes for the bake sale for her school. Each cake requires 5/6 cups of sugar. How many cakes can she bake if she has 7 1/2 cup of sugar?

Answers

7 1/2 / 5/6
15/2 / 5/6
15/2 x 6/5
90/ 10
= 9

9 cups can be baked if she has 7 1/2 cup of sugar in

While remodeling their living room, the Smart family decided to repaint the walls. They
estimated that they could repaint 55 square feet every half-hour. How many square feet
can they paint per hour?

Answers

Answer:

The Smart family could paint 110 square feet per hour.

Step-by-step explanation:

Given that while remodeling their living room, the Smart family decided to repaint the walls, and they estimated that they could repaint 55 square feet every half-hour, to determine how many square feet can they paint per hour the following calculation must be performed:

1/2 = 0.5

0.5 = 55

1 = X

55 / 0.5 = X

110 = X

Therefore, the Smart family could paint 110 square feet per hour.

a- You roll a regular die (one dice). What is the probability of rolling a 4? SIMPLIFY,
IF NECESSARY.

Answers

Answer:

1/6th chance

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

there's only one 4 on a normal 1 to 6 die

PLEASE HELP

A bag hes 10 red marbles, 3 green marbles,
7 yelow marbles, and 5 blue merbles. What is
the probability of crowing a red marble and
then g, blue, marble without replacing the first?

Answers

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Probability is the chance of an event happening. One finds the probability of an event by using the following general formula,

[tex]\frac{desired}{total}[/tex]

In this case, the desired outcome is pulling whether a red or blue marble from the bag, the desired equals the sum of the number of red and blue marbles.

(red) + (blue)

= 10 + 5

= 15

The total number of marbles is the sum of all the number of marbles in the bag.

(red) + green)  + (yellow) + (blue)

= 10 + 3 + 7 + 5

= 25

Now substitute these values into the formula to find the probability, then simplify,

[tex]\frac{15}{25}[/tex]

Divide both the numerator and denominator by (5),

[tex]\frac{3}{5}[/tex]

I NEED HELP ASAP: Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer by filling in the boxes.

A' ( ___, ___ )
B' ( ___, ___ )
C' ( ___, ___ )
D' ( ___, ___ )

Answers

Answer:

A - 1,4

B -5,8

C -5,4

D -4,2

Step-by-step explanation:

im not shure how to explain

Answer:

A' ( -1, -4 )

B' (-5, -8 )

C' (-5, -4 )

D' ( -4, -2 )

Step-by-step explanation:

I took the test

Find the first five terms that correspond with the following expression.

4n + 2

Answers

Answer:

6,10,14,18,22

Step-by-step explanation:

4n+2

Let n=1  4(1)+2 = 4+2 = 6

Let n=2  4(2)+2 = 8+2 = 10

Let n=3  4(3)+2 = 12+2 = 14

Let n=4  4(4)+2 = 16+2 = 18

Let n=5  4(5)+2 = 20+2 = 22

Calculate the variance and the standard deviation for the following sample data. Scores: 7, 9, 0, 1, 7, 4, 4, 7, 6

Answers

Answer:

Variance = 9

Standard deviation = 3

Step-by-step explanation:

Step 1

Find the Mean

Means = Sum of values/Number of values

= 0 + 1 + 4 + 4 + 6 + 7 + 7 + 7 + 9/9

= 45/9

= 5

Step 2

The formula for Sample variance

= (x - Mean)²/n - 1

Where

n = number of values = 9

Hence:

Sample variance =

( (0 - 5)² + (1 - 5)²+ (4 - 5)² + (4 - 5)² + (6 - 5)² + (7 - 5)² + (7 - 5)² + (7 - 5)² + (9 - 5)²)/9 - 1

= (-5² + -4²+ -1² + -1² + 1² + 2² + 2² + 2² + 4²) /8

= (25 + 16 + 1 + 1 + 1 + 4 + 4 + 4 + 16)/8

= 72/8

= 9

Sample Standard deviation = √Sample variance

= √9

= 3

Numerical Response
15b - 6 - 3b + 10
This polynomial simplifies to the form
nb + m
then n + m=?

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]15b - 6 - 3b + 10 \\ 15b - 3b - 6 + 10 \\ = 12b + 4[/tex]

12b + 4 is in the form nb + m, where,

n = 12m = 4

So,

[tex] = n + m \\ = 12 + 4 \\ = 16[/tex]

16 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

The accompanying table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the value of the car, to the nearest cent, after 15 years.

Answers

Answer:

equation: 14506.226(0.870)^x

answer: 1796.15

Step-by-step explanation:

Plugging in the tables into your calcuator

a= 14506.226

b= .870

y=ab^x

y= 14506.226(0.870)^x

= 1796.15

The equation of the exponential regression is [tex]\rm y = 14100 \ e^{-0.087x}[/tex]. And the value of a car after 15 years is $ 3,823.53.

What is an exponent?

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The accompanying table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars.

The exponential regression equation will be given as

[tex]\rm y = A_o e^{kx}[/tex]

Where A₀ is the coefficient of exponential regression and k is the constant.

For x = 0, the value of y will be $ 14100. Then we have

[tex]\rm 14100= A_o e^{k*0}\\\\ A_o \ \ \ \ = 14100[/tex]

Then the equation will be

[tex]\rm y = 14100 \ e^{kx}[/tex]

For x = 1, the value of y will be $12,929. Then we have

[tex]\rm 12929= 14100 e^{k*1}\\\\ e^k \ \ \ \ = 0.91695[/tex]

Taking ln both sides, then we have

[tex]\begin{aligned} \rm ln\ e^k &= ln \ 0.91695\\\\\rm k*ln \ e &= -0.087\\\\\rm k &= -0.087 \end{aligned}[/tex]

Then the equation will be

[tex]\rm y = 14100 \ e^{-0.087x}[/tex]

Then after 15, the value of a car will be

[tex]\rm y = 14100 \ e^{-0.087*15}\\\\\rm y = 14100 * 0.2712\\\\\rm y = 3823.53[/tex]

More about the exponent link is given below.

https://brainly.com/question/5497425

Please can someone help me I’m confused and lost

Answers

Answer: the answer is the third one

Step-by-step explanation:

well first of all how u get 3is because u have to divide 6 by 2 or u have todo the square root of 6 and 2 and u get 3

Find the area of the sector formed by a central angle of 45 degrees in a circle of radius 2.1
meters. Round to the hundredth.

Answers

Answer:

1.731 meters squared

Step-by-step explanation:

Look at the image for reasoning

I need an answer ASAP

Answers

It is the 3rd one your welcome

The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 144 residents whose mean number of pounds of trash generated per person per week was 34.5 pounds and the standard deviation was 7.9 pounds. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a

Answers

Answer:

32.966 ; 36.034)

Step-by-step explanation:

Given :

Sample size , n = 144

Mean, x = 34.5

Standard deviation = 7.9

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

Zcritical at 98% = 2.33

Margin of Error = 2.33 * 7.9/√144 = 1.534

Lower boundary = 34.5 - 1.534 = 32.966

Upper boundary = 34.5 + 1.534 = 36.034

(32.966 ; 36.034)

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