Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $15. For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1500 . How many tickets of each type were sold?

Answers

Answer 1

The advance tickets were 35 in number and the same day ticket will be 30 in number.

What will be the number of tickets?

To find out the number of the tickets sold we will give some notations so the notations are as follows:-

A= Cost of advance tickets=$30

S= cost of same-day ticket-=15

[tex]N_A=[/tex] Number of the advance tickets

[tex]N_S=[/tex]Number of same-day tickets.

The equations made by the given data will be:-

[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]

By solving the above equations:-

[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]

Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.

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Related Questions

i need help with this question

Answers

Answer:

Simulation --> An imitation

Sample --> The part of a population

Biased sample --> A sample that is not

Population --> A group

Add.

6 5/6 + (−6 1/5)

This is a fraction, not a whole number negative sum.

Enter your answer as a simplified fraction in the box.

Answers

Answer:

19/30

Step-by-step explanation:

had this in an old problem in school

:D

how is 0.5600 written on scientific notation

Answers

Answer:

5.6 x 10^-1

Step-by-step explanation:

give brainliest, please!

hope this helps :)

The mean of four numbers is 59, The numbers are 52, 58, 57, and x. Find the value of x.

Answers

Answer:

X=69

Step-by-step explanation:

52, 58, 57, X =59

52+58+57+X/4=59

167+X/4=59

Multiply both sides by 4

4(167+X) /4 = 59x4

Simplify

167 + X= 236

Subtract 167 from both sides

167 + X- 167 = 236 – 167

Simplify

X= 69

to check

52+ 58+57+69/4 =59

Each morning, Jon rides 1.5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles.

Which equation can be used to find x, the distance from school to his aunt’s house?

Answers

The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles +  10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles +  10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10 

Find the area of the figure. (Sides meet at right angles.) 3yd 5yd 5yd 8yd 8yd

Answers

Answer:

39 yd²

Step-by-step explanation:

Two rectangles can be formed here.

One smaller of the dimensions 5 × 3 yd

And another of 8 × 3 yd.

Total area = 5×3 + 8×3 (area of rect. = l×b)

= 15 + 24

= 39 yd²

Question 1 of 10
Which of the following statements regarding the expansion of (x + y)" are
correct?
A. The coefficients of X" and y both equal 1.
B. For any term xyl in the expansion, a + b = n
c. For any term xay in the expansion, a - b = n.
D. The coefficients of yn - 1 and yn – 1 both equal 1.
SUBMIT

Answers

The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.

How to expand?

It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.

Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.

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Britney is buying a shirt and a hat at the mall. The shirt costs $32.61, and the hat costs $19.82. If Britney gives the sales clerk $100.00. how much change should she receive? (Ignore sales tax.)
A. $44.47
B. $57.32
C. $52.43
D. $47.57

Answers

Answer:

D. $47.57

Step-by-step explanation:

Add up the cost of the two items

$32.61 + $19.82 = $52.43

subtract the cost for the $100

100-52.43 = 47.57

The change is D. $47.57

Answer:

$47.57

Step-by-step explanation:

cost of the t-shirt = $32.61

cost of the hat= $19.32

total cost of items she bought= 32.61+19.82= $52.43

Amount of change she received= 100-52.43= $47.57

Which system of linear equations makes the sentence true? is a system of linear equations representing intersecting lines. is a system of linear equations representing parallel lines. is a system of linear equations representing coincidental lines.

Answers

The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equations are given below.

− 3x + 5y = 22 or 3x = 5y − 22   ...1

 20y − 11 = 12x or 12x = 20y − 11   ...2

The system of the equations follows the condition that will be

12/3 = 20/5 ≠ 11/22

4 = 4 ≠ 1/2

This is the condition for the parallel lines or no solution.

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Answer:

2x + y = 4, 5y = 10x + 4

is a system of linear equations representing intersecting lines.

2x + 3y = 21, -6y = 4x + 1

is a system of linear equations representing parallel lines.

-2x + 4y = 9, 8y = 4x + 18

is a system of linear equations representing coincidental lines.

Step-by-step explanation:

Graphed them all.

Which line plot displays a data set with an outlier?

Answers

Answer: See attached, the top right

Step-by-step explanation:

      What is an outlier? An outlier, in a data set, is a data value that is outside the overall pattern of distribution.

   This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.

Answer:

The 2nd one on the top

Step-by-step explanation:

It's that one because it goes from 8 to 13 and that's a big jump causing it to be the outlier.

Find the surface area to the nearest square foot.
how to do this?

Answers

[tex]\bold{ANSWER:}[/tex]
1026.78

[tex]\bold{SOLUTION:}[/tex]

percentage are boys? 3. The price of a chocolate bar is 25p and includes 5p profit. Express the profit as a percentage of the original price.​

Answers

Answer:

25%

Step-by-step explanation:

the original price is 20 not 25 because 25 is the total of the profit and the price of the chocolate so there's no way 25 is the original price and if you know that and you know the formula it'll be easy for you to get the percentage profit good day.

So I’m failing right now but I need 44% to pass and I have a 38% right now.I take notes and I get 5/5 (or 100%) on the notes. I did 4 of them will that bring it up?? If so what would be my current grade. Please help meeeeeee.

Answers

Answer:

well yes it but it depends on how much each points you will get for each assignment and how much you have, but other than that I am very sure It will! don't lose hope! keep doing your best! only think positive!!!

100 POINTS! College Statistics
*Wrong/Spammy Answers will be removed*.
Check the attachment for the whole question. Ignore letter e

Answers

(a) Collision claims tend to be skewed right because there are a few very large collision claims relative to the majority of claims.

These large collision claims skew the data to the right because they are outliers that draw the mean higher than it should be.

The answer cannot be "no large collision claims" or "many large collision claims" because then the data would not be skewed.

(b) Since there are two random samples comparing two means, we will be using a 2-Samp-T-Test. We will use Welch's approximate t-test, where we test the hypothesis that these two populations have the same mean.

We want to determine if 20-24 year old drivers have the same mean collision cost as 30-59 year old drivers.

(c) The null hypothesis is that the mean claim of collision costs for 20-24 year old drivers is the same as the mean claim of collision costs for 30-59 year old drivers.

We can also rewrite this as:

H₀: μ₁ = μ₂where μ₁ is the mean collision claims for 20-24 year old driversand μ₂ is the mean collision claims for 30-59 year old drivers

The alternative hypothesis is that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.

We can rewrite this as:

H₁: μ₁ > μ₂Our variables have already been defined

(d) In order to calculate the p-value, we must find the test statistic first.

We can do so by using this formula:

[tex]\displaystyle t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]

We are given these variables in the problem:

[tex]x_1=4590[/tex][tex]s_1=2302[/tex][tex]x_2=3670[/tex][tex]s_2=2029[/tex][tex]n_1=40[/tex][tex]n_2=40[/tex]

Substitute these variables into the formula for the test statistic.

[tex]\displaystyle t=\frac{4590-3670}{\sqrt{\frac{2302^2}{40} +\frac{2029^2}{40} } }[/tex]

You can use the calculator to solve this expression, or plug the numbers into your calculator using: STAT - TESTS - 4:2-SAMPTTEST.

Your test statistic should be: t = 1.8962.

The calculator should also tell you the p-value; p = .0308.

(e) Since p = .0308 < α = .1, reject the null. We have convincing statistical evidence that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.

3. If 3, x, y, 18, are in arithmetic progression, (A, P) find the value of x and y
b) the sum of the second and third terms of a geometric progression is six times the fourth term, find the two possible values of common ratio
i) If the seconds term is 8 and the common ration is positive, find the first six terms. 10mrks​

Answers

Answer:

Below in bold

Step-by-step explanation:

The sequence is:

3, x, y, 18

If this is an A P then

x - 3 = y - x  

2x - y = 3      (A)  and

y - x = 18 - y

2y - x = 18      (B)

Multiply  (A) by 2:

4x - 2y = 6    (C)

Adding B and C:

3x = 24

x = 8.

and

2y - 8 = 18

2y = 26

y = 13.

So x = 8 and y = 13.

b)   ar + ar^2 = 6ar^3  where a = first term and r = common ratio

Divide by a:

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

r(3r  + 1)(2r  - 1) = 0

So the 2 possible values of r

= -1/3 and 1/2.

i) The common ratio is positive so it must be 1/2.

Second term ar = 8

1/2 a = 8

a = 16.

So the first 6 terms are:

16, 8, 4, 2, 1, 1/2.

what is the interquartile range of the data 24,25,27,36,37,42,42,43,49,49,50,53,59,61,65

Answers

IQR = Q3-Q1 = 53 - 36 = 17

Shira plants carrots in 4/10 of her garden and potatoes in 25/100 of her garden she wants to know what fraction of her garden has carrots and potatoes

Answers

Answer:

In the white box with the "?" PUT 40

final answer: 13/20

Step-by-step explanation:

4/10 + 25/100

can only be added if you find a common denominator. That is the step being asked for on your screen. 4/10 is the same as 40/100.

4/10 + 25/100

= 40/100 + 25/100

Keep the bottom, add the tops.

= (40+25)/100

= 65/100

always simplify when possible. 5 goes into both 65 and also 100

65/100

= 13/20

13/20 of Shira's garden is planted with carrots and potatoes.

Is it SSS, SAS, ASA, SAA, or HL?

Answers

Answer:

it’s SAA

Step-by-step explanation:

ur wlcm, i am sure of my answer

brainliest please?

help pls
i know i hv to rearrange but how

Answers

Answer:

Step-by-step explanation:

draw ⊥ from B cutting  AC.

let it be D.

[tex]\frac{BD}{BC} =sin 30\\BD=\frac{1}{2} \times BC=\frac{1}{2} \times 2x=x\\area=\frac{1}{2} \times 3x \times BD=\frac{1}{2} \times 3x \times x\\T=\frac{3x^2}{2} \\2T=3x^{2} \\x^{2} =\frac{2T}{3} \\x=\sqrt{\frac{2T}{3} }[/tex]

PLEASE EXPLAIN I NEED THIS

Answers

Blah Norah don’t know what I want to do lol lol I bet you are you lol

Write the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3. (Use the letter x to represent the variable.)

Answers

The quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3 will be 3x² - 15x + 18 = 0.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

Then the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3.

Then the factor or the quadratic equation will be

(x - 2) and (x - 3)

Then the equation will be

     3(x - 2)(x - 3) = 0

3(x² -2x -3x + 6) = 0

    3(x² - 5x + 6) = 0

   3x² - 15x + 18 = 0

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last question before I go. [tex]x^{2} -y[/tex] when [tex]x = 4, y = 2[/tex].

Answers

Hey there!

x^2 – y

= 4^2 – 2

= 4 * 4 - 2

= 16 - 2

= 14


Therefore, the answer should be: 14



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.

∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'

(x,y) → (x+5,y)

(x,y) → (5x,5y)

(x,y) → (.5x,.5y)

(x,y) → (x,-y)

(x,y) → (-x,-y)

Answers

For reference you can look at the attachment

I have taken three points (1,1),(2,1),(3,3)

Then converted them accordingly

#1(Graph 2)

Yes

#2(Blue dots on graph 1)

No

They are similar but not equal

#3(Purple dots)

No

Similar but not equal

#4(Green dots)

Yes

#5(Black dots)

Yes

phone 35% off
now only £78
how much was the phone before the discount price

Answers

Answer:

€ 120

Step-by-step explanation:

full price of the phone in terms of percentage

= 100%

percentage discount = (100-35)% = 65%

let the price of the phone before discount= X

therefore,

65%-----------78

100%----------X

cross multiplying

65×X = 100×78

dividing bothsides by X

X = 100×78/65

X = 7800/65

X = 120

price of the phone before discount=€120

If using the method of completing the square to solve the quadratic equation
x2 – 14.0 – 40 = 0, which number would have to be added to "complete the
square"?
---

Answers

The number that we need to add to "complete the square" when solving x² – 14x – 40 = 0 using the method of completing the square is 49.

To solve a quadratic equation using the method of completing the square, we need to add the square of half of the coefficient of the x term to both sides of the equation.

This will convert the left side of the equation into a perfect square trinomial.

Then, we can take the square root of both sides and isolate the variable x.

To solve the quadratic equation x² – 14x – 40 = 0 using the method of completing the square, we need to add the square of half of the coefficient of x to both sides.

The coefficient of x is -14, so half of it is -7.
The square of -7 is 49.

Therefore, we need to add 49 to both sides of the equation to "complete the square".

Now, we have: x² – 14x + 49 = 40 + 49

Simplifying this gives: (x - 7)² = 89

Taking the square root of both sides gives: [tex]x - 7 = \pm\sqrt{89}[/tex]

Adding 7 to both sides gives:[tex]x = 7 \pm\sqrt{89}[/tex]

Therefore, the number that we need to add to "complete the square" when solving x² – 14x – 40 = 0 using the method of completing the square is 49.

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What is the value of y?

Answers

The theorem is used to find the side and angles of a triangle. The value of y from the given diagram is 0.64

SOH CAH TOA identity

The given diagram are right angled triangle

From the lower triangle

sin45 = a/2√2
1/√2 = a/2√2

1 = a/2
a = 2

Determine the value of y

tan 60 = opp/adj

tan 60 =y/2

y = 2 tan60

y = 0.64

Hence the value of y from the given diagram is 0.64

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A placebo is a medically ineffectual treatment that looks like a real treatment. Sometimes patients given a placebo treatment, unaware of the fact that it is indeed a placebo, will have a perceived or actual improvement in their condition. This phenomenon is commonly called the placebo effect.
A group of doctors was interested in comparing the effectiveness of placebo pills (made of sugar) and real pills in treating migraines. They randomly assigned a group of 300 patients suffering from migraines into two groups. One group was given a real pill and the other was given a placebo. Both groups were told which kind of pill they got.
Before taking the pills, and a day afterwards, the patients were asked to fill out questionnaires regarding their condition. Then, the doctors analyzed the overall changes in questionnaires for each group and compared them.

What type of statistical study did the doctors use?
A. Sample Study
B. Experiment
C. Observational Study

Is the study appropriate for the statistical questions it's supposed to answer?
A. Yes, because the patients filled the same questionnaire before and after taking the pills.
B. No, because telling patients about the pills introduces bias.
C. Yes, because the patients were randomized between the two groups.
D. No, because we don’t know how effective the real pills are.

Answers

Experimental studies were the type of statistical study used by doctors in research on comparing placebo pills with real pills.

The study carried out is not appropriate for the statistical questions that must be answered, because telling patients about the pills introduces bias.

What is an experimental study?

It is a method of scientific research in which there is the introduction of an intervention by the researchers, in which the resulting effects will be objects of study.

Therefore, in an experimental study there will be randomization of participants, who will be randomly grouped into a group to carry out the controlled trial.

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Answer: Experiment

No, because telling patients about the pills introduces bias

Find the fourth derivative of f(x) = 3x^-1 ƒ(4) (x) =​

Answers

[tex]f(x) = 3x^{-1}\\\\f'(x) = 3(-1) x^{-1-1} = -3x^{-2}\\\\f''(x) = -3(-2)x^{-2-1} = 6x^{-3}\\\\f'''(x) = 6(-3)x^{-3-1}=-18x^{-4}\\\\f''''(x) = -18(-4)x^{-4-1} = 72x^{-5}[/tex]

[tex]\text{The fourth derivative of f(x) is}~ 72x^{-5}.[/tex]

a grandmother deposits $6000 in an account that pays 9% compounded monthly. What will be the value of the account at the​ child's twenty-first​ birthday, assuming that no other deposits or withdrawals are made during this​ period?

Answers

now, we're assuming she made the deposit at the child's birth, namely when year was 0, at the child's twenty-first birthday that'll be 21 years later.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &21 \end{cases} \\\\\\ A=6000\left(1+\frac{0.09}{12}\right)^{12\cdot 21}\implies A=6000(1.0075)^{252}\implies A\approx 39437.11[/tex]

What is the slope of a line perpendicular to the line whose equation is
3x+6y=-54.
Fully simplify your answer.

Answers

Answer:

slope = 2

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given equation:

[tex]3x + 6y = -54[/tex]

Rearrange the given equation to make y the subject:

[tex]\implies 6y=-3x=-54[/tex]

[tex]\implies y=-\dfrac{1}{2}x-9[/tex]

Therefore, the slope of the given equation is [tex]-\dfrac{1}{2}[/tex].

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope (m) of the line perpendicular to the given equation is:

[tex]\implies -\dfrac{1}{2} \cdot m=-1[/tex]

[tex]\implies m=-1 \div -\dfrac{1}{2}[/tex]

[tex]\implies m=-1 \cdot-2[/tex]

[tex]\implies m=2[/tex]

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