every ninth person in line at a movie theater gets free popcorn. Every sixth person gets free apple juice. Which customer will e the first to get both?

Answers

Answer 1

We are told that every 9th person gets free popcorn and every 6th person gets free apple juice at the movie theater. We want to show if the 36th person is the first to get both free popcorn and apple juice.
Since every 9th gets free popcorn, then the 9th and 18th and 27th and 36th people get it. We can use numbers and show this as multiples of 9.
9, 18, 27, 36, 45, 54, ...
And we repeat it for every 6th and the free juice.
6, 12, 18, 24, 30, 36,....
Shani thinks 36 comes first, and she's wrong. 18 appears on the list before 36 as something that's common. What are we finding is the lowest common muliple of 6 and 9.
6 = 2 x 3
9 = 3 x 3
The lowest common multiple will have a 2, a 3, and a second 3 (because we don't double count). 2 x 3 x 3 = 18. This matches up to the list of multiples.

Thus, Shani is wrong that the 36th person gets both free items, as she did not account for the 18th person gettting both free items

Related Questions

You paint the wall below your stairs. Find the area you paint. 4m 3 m
P. S. IT'S NOT 12

Answers

Answer:

6 m^2

Step-by-step explanation:

the formula for the area of a triangle is 1/2 bh

applying that to this problem, we get

1/2 x 3 x 4

after multiplying then all together, you get

A=6 m^2

What must m
A. 18
B. 59
C. 121
D. Not Enough Information

(Here is a picture)
An explanation would be very helpful!

Answers

The correct answer is (D.Not enough Information)

The probability a car salesman sells a car to a customer is 0.05

Assuming the salesmen sees 16 customers in a week, what is the probability he sells less than 3 cars?

Write answer using three decimal places

Answers

Using the binomial distribution, it is found that there is a 0.957 = 95.7% probability that he sells less than 3 cars.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

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 a car salesman sells a car to a customer is 0.05, hence p = 0.05.The salesmen sees 16 customers in a week, hence n = 16.

The probability he sells less than 3 cars is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{16,0}.(0.05)^{0}.(0.95)^{16} = 0.4401[/tex]

[tex]P(X = 1) = C_{16,1}.(0.05)^{1}.(0.95)^{15} = 0.3706[/tex]

[tex]P(X = 2) = C_{16,2}.(0.05)^{2}.(0.95)^{14} = 0.1463[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.4401 + 0.3706 + 0.1463 = 0.957.

0.957 = 95.7% probability that he sells less than 3 cars.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

question

he probability a car salesman sells a car to a customer is 0.05

Assuming the salesmen sees 12 customers in a week, what is the probability he sells less than 3 cars?

Write answer using three decimal places

Answer:

Step-by-step explanation:

What is the scale factor from AABC to ADEF?
B
E
A
5
5
5
5
A
5
с
5
F
C
A. 5
B. 10
C. O
a
D. 1

Answers

Answer:

Step-by-step explanation:

ED/AB = 5/5 = 1

The scale factor from ΔABC to Δ DEF is, 1

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The figure of ΔABC to Δ DEF is shown in image.

Now, We can formulate for the scale factor,

⇒ AB / DE

⇒ 5 / 5

⇒ 1

Thus, The scale factor from ΔABC to Δ DEF is, 1

Learn more about the divide visit:

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In the given circle, tangent AB and secant CD intersect at point E as shown. What is the value represented by x? A. 70 B. 220 C. 110 D. 140

Answers

Based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

What is the Relationship Between Measure of Inscribed Angle and Intercepted Arc?

The intercepted arc = twice the inscribed angle.

Thus:

Intercepted arc = x

Inscribed angle = m∠CEB = 180 - 110 = 70°

Therefore:

x = 2(70)

x = 140°

Therefore, based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

Learn more about relationship between intercepted arc and inscribed angle on:

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Answer:

Step-by-step explanation:

140 degrees

Help me please i need the lenght of yz . . . . . . . . . .. . . . . . .

Answers

The length of YZ Is 4.7

Have a great day! And pls br4inlest

Question 2 of 5
Use the area of the rectangle to find the area of the triangle.
2 ft 4
12 ft
A. The area of the triangle is 24 square feet, because the area of the
rectangle is 24 square feet.
B. The area of the triangle is 12 square feet, because the area of the
rectangle is 24 square feet.
C. The area of the triangle is 12 square feet, because the area of the
rectangle is 12 square feet.
D. The area of the triangle is 24 square feet, because the area of the
rectangle is 28 square feet

Answers

Answer:

The correct answer is C:

The area of the triangle is 21 square feet, because the area of the

rectangle is 42 square feet.

Step-by-step explanation:

What are the coordinates (x, y) of the hole in the graph of the function f(x)?
f(x) = (x ^ 2 - 4x - 12)/(x + 2)

Answers

Answer:

(6,0)

Step-by-step explanation:

Desmos Graphing Calculator

Nancy started the year with $425 in the bank and is saving $25 each week. Sam started the year with $705 but is spending $15 a week. When will Nancy and Sam have the same amount of money? How much money will they each have? Write a system of equations that model the following situation. Define each variables with a “Let” statement, write two equations, and solve completely.

Answers

Answer:

The system of equations:

Nancy: Y=$425+$25x

Sam : Y=$705-$15x

Given:

Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Amount in Sam's bank = $705

Amount spent by Sam each week = $15

To find:

Y=$425+$25xx

Y=$425+$25x

The system of equations describing the given models.

Solution

1) Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Let the number of weeks Nancy saving her money be 'x'.

Let the total amount of money in Nancy's bank after x weeks be 'y'.

The equation for Nancy: Y=$425+$25x

Answer for NancyY=$425+$25x

2) Amount in Sam's bank = $705

Amount spend by Sam each week = $15

Let the number of weeks Sam spending his money be 'x'

Let the total amount of money left in Sam's bank after x weeks ='y'

The equation for Sam:

Y=$705-$15 x x

Answer for Sam: Y=$705-$15x

Step-by-step explanation:

find the value of x y and z in the rhombus below

Answers

Answer:

Step-by-step explanation:

In Rhombus opposite angles are equal.

6x + 8 = 86

6x = 86 - 8 {Subtract 8 from both sides}

6x = 78

x = 78/6 {Divide both sides by 6}

x = 13

In rhombus adjacent angles are supplementary.

7y + 3 + 86 = 180

7y + 89 = 180

7y = 180 - 89 {Subtract 89 form both sides}

7y = 91

y = 91/7 {Divide both sides by 7}

y = 13

5z + 4 + 86 = 180

5z + 90 = 180

5z = 180 - 90 {Subtract 90 from both sides}

5z = 90

z = 90/5 {divide both sides by 5}

z = 18

A line has a slope of -7 and passes through the point (0, -7). Is it possible to write the equation
of the line without doing any work? Explain why or why not?

Thank you!

Answers

Answer: yes

Step-by-step explanation: they have to be past 0 to start

Answer:

y = -7x -7

explanation:

y - y₁ = m ( x - x₁ )

y - -7 = -7 ( x - 0 )

y + 7 = -7x

y = -7x -7

Or using the formula:

y = mx + b

y = -7x - 7

using this formula, if only passes y-axis, we can find equation without doing any work.

what value of x makes this equation true -6x+3= 45

Answers

-6x+3=45
-3 -3 subtract
-6x=45
Divide both sides by -6
X=-7
I think this is the answer

Answer:

[tex] - 7[/tex]

Step-by-step explanation:

-6 x + 3 = 45

collect like terms and then make x the subject of formula

=> -6x = 45 -3

note: when turning three over to the other side the plus sign change to minus

In order to make x the subject of formula we divide 45 - 3 by -6

=> [tex] \frac{45 - 3}{ - 6}\\ [/tex]

subtract 45 from 3 which gives us 42

now divide 42 by -6

=> -7

Given two similar triangles, what would you need to know
to find an unknown length? How would you find that
unknown length?

Answers

Answer:

There is a pattern with the ratios of corresponding sides. You can see that the measurement of each side of the first triangle divided by two is the measure of the corresponding side of the second triangle. Use patterns like this to problem solve the length of missing sides of similar triangles.

Answer:

I would need to know the length of a pair of corresponding sides, so I could set up a proportion to solve for the unknown length. I would set the ratio of the known corresponding sides equal to the unknown measure, making sure I put corresponding measures from the triangles in the same positions in the ratios. Then I would cross-multiply to solve.

Step-by-step explanation:

Exercise 1 Directions: Classify each statement as true or false
1. Every square is a rectangle
2. Every rectangle is a mombus.
3. Every trapezoid is a quadrilateral.
4. Every trapezoid is a parallelogram
5. Every rectangle is a quadrilateral
6. Every rectangle is a parallelogram.
7. Every square is a rhombus.
8. Every rhombus is a parallelogram.
9. Every paralelogram is a square.
10. A square is both a rectangle and a rhombus.

Paki sagot po Salamat

Answers

Answer:

1: True

2: False? (unsure)

3: True

4: False

5: True

6: True

7: True

8: True

9: True

10. True

someone please help me with my math

Answers

Answer: The answer is 24.6

Suppose the diameter of a circle is 16, What is its circumference?

Answers

Answer:

Step-by-step explanation:

Circumference = πd

= 3.14 * 16

= 50.24

MOLECULES A glass of water contains 0.25 liter of water. If 1 milliliter of water contains 3.3 x 10^22 water molecules, how many water molecules
are there in the glass of water? Write your answer in scientific notation

Answers

Answer:

8.25*10^24

Step-by-step explanation:

1000*.25= 250 (this converts the .25 into milliliters)

250(3.3 * 10^22)

= 8.25*10^24

The required molecules of water in the glass are given as 8.25 × 10²⁴.

What is a unit of measurement?

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
A glass of water contains 0.25 liter of water.
1 liter = 1000 mililiters
So,

0.25 liter = 250 mililiter

Now,
1 milliliter of water contains 3.3 x 10²² water molecules,
Number of molecules in 0.25 liters of water,
= 250 × 3.3 x 10²²
= 8.25 × 10²⁴

Thus, the required molecules of water in the glass are given as 8.25 × 10²⁴.

Learn more about measurement here:

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pleaseeeee helppppppp

Answers

Answer= 1000m
1 kilometers = 1 x 1000 meters
The kilo is a prefix which means 10 to the power 3 or simply 1000

can someone help pls

Answers

Sure.

See above

I believe this is correct, hope it helps.

Sorry for messy work

-3.5 is equal to 3 1/2 so thats why we place the point there

The distance between Reeta's house and her office is 14 km. She covers 10 km 65 m by scooter, 3 km 75 m by bus and the rest on foot. How much distance does she cover by walking?

Answers

Answer:

She covered 0.86 km or 860m by walking.

Step-by-step explanation:

Given:

➮ Distance between Reeta's house and her office is 14km.

She covers 10km 65m by Scooter. Then, 3km 75m by Bus. And rest of distance covered by foot.

To Find:

➮ How much distance covered by foot/walking ?

Solution:

To find the distance covered by foot = Total distance - Sum of distance covered through scooter and bus.

Sum of distance covered through scooter and bus:-

As, we know:

• 1km = 1000m

⇒ 10km = 10×1000

= 10000m

⇒ 3km = 3×1000

= 3000m

So, 10000m + 65m ➝ 10065m

3000 + 75m ➝ 3075m

➝ 10065m + 3075m

➝ 13140m

• 13140m into km:-

⇒ 13.14km

Now, Finding the distance covered by walking:

➝ 14km - 13.14km

➝ 0.86km

Hence, She covered 0.86km or 860m by walking.

Please answer a question the images.

Answers

The distribution of the animals in the coral reef is an illustration of probability

The most likely animal

The distribution of the animals is given as:

Blue fish = 3

Yellow fish = 7

Sea turtle = 1

Eels = 3

The animal with the highest frequency is the most likely animal.

Hence, the Yellow fish is the most likely animal.

Which is more likely?

From the question, we have:

Blue fish = 3

Eels = 3

Both animals have the same frequency.

This means that Riley has equal chance of seeing a blue fish and an eel.

The probability of seeing an animal with fins

The animal with fins are:

Blue fish = 3

Yellow fish = 7

So, the probability is:

[tex]p = \frac{3 + 7}{3 + 7 + 1 + 3}[/tex]

[tex]p = \frac{10}{14}[/tex]

Simplify

[tex]p = \frac 57[/tex]

Hence, the probability of seeing an animal with fins is 5/7

The least likely animal

The animal with the least frequency is:

Sea turtle = 1

So, the likelihood is:

[tex]p = \frac 1{14}[/tex]

Hence, the sea turtle has the least likelihood of 1/14

Animals with equal likelihood

The Blue fish and the Eels have the same frequency of 3

This means that animals have equal likelihood

The probability of seeing each animal

We have:

Blue fish = 3

Yellow fish = 7

Sea turtle = 1

Eels = 3

Express as probability

Blue fish = 3/14

Yellow fish = 7/14

Sea turtle = 1/14

Eels = 3/14

Express the fractions as decimals

Blue fish = 0.214

Yellow fish = 0.500

Sea turtle = 0.071

Eels = 0.214

So, their likelihoods are:

Blue fish = Equally likely

Yellow fish = Certainly likely

Sea turtle = Unlikely

Eels = Equally likely

Answers

Convert to an equation y in terms of x:
Y = (-2.4x + 48)/1.6
X Intercept is where y = 0
0 = -2.4x/1.6 + 48/1.6
X = 20

Y intercept is where x = 0
Y = (-2.4*0)/1.6 + 48/1.6
Y = 30

X and y are how coats and pants are made respectfully so the x intercept is where y = 0, meaning no pants are made, only jackets. The y intercept is the opposite, it’s how many pants can be made if no jackets are made.

Find the slope and the y-intercept of the line.
3x+5y=−4
Write your answers in simplest form.

Answers

Answer:

slope = -3/5

y intercept = 4/5

Step-by-step explanation:

First, we can rearrange 3x + 5y = 4 into slope intercept form (y = mx + b) to get 5y = -3x + 4. Now we can divide by 5 to make y the subject: y = -3/5x + 4/5. The number in front of x is the slope and the number on its own is the y intercept.

slope = -3/5

y intercept = 4/5

Hope this helps!

Which is an x-intercept of the continuous function in the table? (–1, 0) (0, –6) (–6, 0) (0, –1

Answers

Answer:

i think it is (-1,0) and (-6,0)

Step-by-step explanation:

i hope, this helps, if not i'm sorry

5/8 divided by
2/3 would equil

Answers

In my opinion I would use KCF(Keep Change Flip) so after you do that it comes out to 5/8 times 3/2. When you multiply them you get 15/16. The answer is 15/16.

Equations in two lines are 6X minus Y equals four and Y equals 4X plus 2Y is the value of X and the solution for the system of equations

Answers

Not sure if I got the equations right but this is how I solved it:
Rearrange 6x-y=4 for y. Then since both equations equal y, you can set them equal to each other. From there solve for the y variable. To solve for x, plug in the new found y variable back into one of the original equations. Hope that helps

x³ + 6x -7= 0 là phương trình

Answers

Answer:

[tex]\huge\boxed{\bf\:x = 1}[/tex]

Step-by-step explanation:

[tex]x ^ { 3 } +6x-7=0[/tex]

By using the rational root theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -7 & q divides the leading coefficient, 1. Now, let's list out all the possible candidates for p/q by following this theorem.

[tex](+/-)7, (+/-)1[/tex]

Now, let's substitute the value of x as these integers. By using the trial & error method, we can see that..

[tex]x = 1[/tex]

This means that 1 factor of the above equation will be:

[tex]x = 1\\\Longrightarrow\:x - 1 = 0[/tex]

So, by using the Factor theorem, we know that, x - k will be the factor of the polynomial for each root k. Now, divide x³ + 6x - 7 by x - 1. We'll the value as:

[tex]\frac{x^{3} + 6x - 7}{x - 1}\\\Longrightarrow \: x^{2}+x+7=0[/tex]

We now have a quadratic equation with us. By using the biquadratic formula: -b ± √b² - 4ac / 2a, where,

a = 1b = 1 c = 7

So,

[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4\times 1\times 7}}{2} \\x=\frac{-1(+/-)\sqrt{-27}}{2}[/tex]

Here, we can see that,

[tex]x\in \emptyset[/tex]

Then, by listing out the solutions that we found, the value of x will be:

[tex]\boxed{\bf\:x = 1}[/tex]

[tex]\rule{150}{2}[/tex]

Answer:(x-1) *(x^2 + x + 7)

Step-by-step explanation:

1. rewrite

2. factor the expression

tara lives ¾ mile from the park. Nilhil lives 6⅔times as far as tara from the park .How far,in .iles ,does Nikhil live from the park?

Answers

Answer:

5 miles

Step-by-step explanation:

If Tara lives 3/4 miles from the park and Nikhil lives 6 2/3 as far, then you must multiply them together: 3/4*6 2/3 = 3/4*20/3

Solve: 3/4*20/3=5

Therefore, Nikhil lives 5 miles from the park.

The miles that Nikhil lives from the park given the miles that Tara lives from the park is 5 miles.

What are fractions?

A fraction is a number that has a numerator and a denominator. The numerator is the number above and the denominator is the number below.

How many miles does Nikhil live from the park?

Multiply 3/4 by 6 2/3

3/4 x 6 2/3

3/4 x 20/3 = 5 miles

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Answer 1, 2, and 3.

Answers

Answer:

a) isosceles right triangle

b) scalene triangle

c) isosceles triangle

d) equilateral triangle

2. 53 degrees

3. Yes. You can use the side-side-side (SSS) postulate because side QR and side SR are shown as congruent, and side QP and SP are also congruent. Since you know that the other two sides are congruent, then that means that the last side must be congruent as well.

Step-by-step explanation:

Explain how the models in questions 4 and 5 are the same.

Answers

Models are equations, tables and graphs that are used to represent functions.

How to interpret a model

The question is incomplete as the models are not given, so I will give a general explanation

For two models to be the same, the equations of the model must be the equivalent.

Take for instance, the following models are the same

y = 2x + 4 and y = x + x + 4 and y = 2x + 2 + 2

And the following models are different

y = 2x + 4 and y = 2^x + 4