question 5: 6 people go to a movie and sit next to each other in 6 adjacent seats in the front row of the theatre. if a cannot sit to the right of f, how many different arrangements are possible?

Answers

Answer 1

The number of different arrangements possible will be 600.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

6 people go to a movie and sit next to each other in 6 adjacent seats in the front row of the theatre. If "A" cannot sit to the right of "F".

The total number of sitting will be

⇒ 6!

⇒ 6 x 5 x 4 x 3 x 2 x 1

⇒ 720

If A and F sit together, then the number of arrangements will be

⇒ 5!

⇒ 5 x 4 x 3 x 2 x 1

⇒ 120

Then the number of different arrangements possible will be

⇒ 720 - 120

⇒ 600

Thus, the number of different arrangements possible will be 600.

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Related Questions

Please help math 50 points

Answers

Answer:

a.) 35080

Explanation:

[tex]\sf \rightarrow 35.08 \times 10^3[/tex]

expand

[tex]\sf \rightarrow 35.08 \times 10\times 10\times 10[/tex]

multiply

[tex]\sf \rightarrow 35.08 \times 1000[/tex]

evaluate (move the decimal point to the right 3 times)

[tex]\sf \rightarrow 35080.0[/tex]

Mark all the states that are true

Answers

B and E should be the answer.

solve for h : 17 - 4h = -16 + 11h

Answers

Answer:

h=2.2

Step-by-step explanation:

5.the sum of two numbers 2n and 2n+4 is 88 the numbers are

21,23
42,44
42,46​

Answers

Answer:

42,46

Step-by-step explanation:

2n+2n+4=88

4n+4=88

4(n+1)=88

n+1=88/4

n+1=22

n=22-1

n=21

Therefore

2n=2*21=42

2n+4=2*21+4

2n+4 = 42+4 = 46

can someone please help :c <3

Answers

it’s D, i solved it

Answer:

Step-by-step explanation:

While on a business trip to Belleville, Cindy treated her co-workers to a meal that cost $2.86. Cindy knew that when the bill came, she would need to pay Belleville sales tax of 15% and would want to leave an 18% tip on the original $2.86. Including tax and tip, how much did Cindy's meal cost?

Answers

Answer:

i think about $3.80

Step-by-step explanation:

Answer the two following question and will mark Brainliest

Answers

Answer:

The answer is C

Step-by-step explanation:

How do I know?

Well first you have to see where it is going with this. It is negative no? so cross out the postive numbers. Then you are left with infinite and (-4,-8). Now do you see the pattern. -4, -4, -8. It will not go to infinite so cross out that. Now what are you left with? That's right (-4,-8)

 Please don't forget to mark me brainliest.

Fill in the blank to make the two fractions equivalent.​

Answers

Answer:

25

Step-by-step explanation:

because 7 times 5 is 35 so 5 times 5 is 25.

Answer:

25

Step-by-step explanation:

Look at the denominators--35 ÷ 7 is 5

So multiply the numerator on the left by 5 to get the numerator on the right:

5 × 5 = 25

write in standard form if needed classify the polynomial 14y^2-x^2-3xy

Answers

Therefore, we can classify the polynomial as a quadratic polynomial.

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, and involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and may contain multiple terms. Each term consists of a coefficient and a variable raised to a power. The degree of a term is the power to which the variable is raised, and the degree of a polynomial is the highest degree of any of its terms. Polynomials are used in many areas of mathematics, science, and engineering, such as algebra, calculus, geometry, and physics. They are used to model real-world phenomena, to solve equations, and to approximate complex functions.

Here,

To write the polynomial 14y² - x² - 3xy in standard form, we need to arrange the terms in descending order of degree (highest degree term first) and combine like terms.

First, let's rearrange the terms:

x² - 3xy + 14y²

Now, the polynomial is in descending order of degree. We don't need to do anything else to put it in standard form.

To classify the polynomial, we count the number of terms and the highest degree of those terms. In this case, there are three terms and the highest degree term is 14y², which has degree 2.

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Find the slope of the line that passes through (6, 6) and (2, 9). Write your answer as a fraction.

Answers

Answer:

-3/4

Step-by-step explanation:

Formula: y2-y1/ x2-x1, so

9-6= 3

2-6= -4

Answer:

3/-4

Step-by-step explanation:

use the slope formula y-y/(x-x)

9-6/(2-6) and just do the math

3/-4.

what is a reciprocal for fractions?​

Answers

Answer:

You just flip the fraction.

Step-by-step explanation:

For example the reciprocal of 4/9 is 9/4

Hopefully this helps you :) Have a great day. Good luck on your question.

a reciprocal is when you flip a fraction. ex: 1/2 the reciprocal is 2/1

Peter makes $15 an hour working at the grocery store and $12 an hour babysitting. He needs to make a minimum of $325 for a new bike. Which inequality best represents the situation, where g represents the number of hours at the grocery store and b represents the number of hours babysitting?

Answers

Answer:

15g + 12b ≥ 325

Step-by-step explanation:

g represents the number of hours at the grocery store

b represents the number of hours babysitting?

We are told that he need to make a minimum of: $325 for a new bike

Minimum means at least $325

Therefore, our inequality equation that best represents the situation is:

15g + 12b ≥ 325

Timothy walks from home to a mailbox. After
walking 15 min, he puts a letter in the mailbox.
Then he walks home at the same speed. The
graph shows his distance from the mailbox
as a function of time. What is his walking speed?
A 280 ft/min © 260 ft/min
B 270 ft/min
D 250 ft/min

Answers

Answer:

D. 250 feet per minute

Step-by-step explanation:

According to this question, Timothy walks at constant speed. From Physics we know that speed is the magnitude of velocity and is determined by the following definition:

[tex]v = \frac{\Delta x}{\Delta t}[/tex] (1)

Where:

[tex]\Delta x[/tex] - Distance between home and mailbox, measured in feet.

[tex]\Delta t[/tex] - Travel time, measured in minutes.

[tex]v[/tex] - Walking speed of Timothy, measured in meters per second.

The distance is represented by the vertical axis of the graph, whereas the travelling time is from the horizontal axis.

If we know that [tex]\Delta x = 3,750\,ft[/tex] and [tex]\Delta t = 15\,min[/tex], then the walking speed of Timothy is:

[tex]v = \frac{3,750\,ft}{15\,min }[/tex]

[tex]v = 250\,\frac{ft}{min}[/tex]

The walking speed of Timothy is 250 feet per minute. Hence, the right answer is D.

What is the total liability of the business? indicate?

Assets $
inventory 15,000
cash on hand and at bank 25,000
debtors/receivables 10,000
land and buildings 500,000
plant and machinery 25,000
investments 75,000
Owner’s Equity 200,000


The total liabilities are $

Answers

$= 25,000 like the answer. ....

Answer:

450,000

Step-by-step explanation:

At Superior Engraving, a trophy costs $12.50 and engraving on the trophy costs $0.40 per letter. At another store, Duluth Trophy, the same trophy costs $14.75 and engraving costs $0.25 per letter. How many letters must be engraved for the costs to be the same at both places?

Answers

Answer:

The answer is 15 words

Step-by-step explanation:

Taking the problem as a algebraic expression, we get

[tex]12.50 + 0.40x = 14.75 + 0.25x[/tex]

Now, subtracting 12.50 + 0.25x from both sides, we get

[tex]0.15x = 2.25[/tex]

Therefore,

No of words = 2.25/0.15 = 15

please help 15 points i will give u

Answers

the answer is c i think

What is 130% of 56 lbs. ​

Answers

130% of 56=
(130\100)*56
(130*56)/100
7,280/100

=72.8

step 3 of 5: find the p-value associated with the test statistic. round your answer to four decimal places.

Answers

The alternative and null hypotheses is given below,

Null Hypothesis, H0: μ1 - μ2 = 0

Alternative Hypothesis, Ha: μ1 - μ2 < 0

Compound Variance is given as,

sp = sqrt( s12n1+s22n2)

sp = sqrt(16973 + 112.3673)

sp = 1.9632

Test statistic of z is,

z = (x1bar - x2bar)/sp

z = (69 - 71)/1.9632

z = -1.02

P-value Approach, P=0.1539 as long as P>= 0.

As P-value >= 0.01, failing to rule out the null hypothesis.

What is known as a decimal mark?

To differentiate between a whole number and its fractional component, a decimal point is used either as a point or a dot. It is also referred to as a decimal mark. The symbol for the decimal point is (.). In daily life, decimals are also frequently used. That whenever a shirt costs $10.50, for instance, the price can be written as 10.50.

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Someone please help with this, it's missing

Answers

Answer:

ok look, you gonna learn somethin so pretty much,

Step-by-step explanation: if you want answer you usually wanna put atleast 15 or more points invested after grinding points its more worth and more people will go for it instead of 5 points just saying it happend to me to i did a 5 points thing and noone answered then, i did 50 and i got like 5 people saying NOO I WANTED TO ANSWER so yeah no hate but im just saying you can report if you think is mean which i already know is rude to most people and idc really.

PLEASE HELP QUICK which relation could also represent a function ​

Answers

Answer:

I believe the answer is B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

srry if i told u to late

what was the ratio of the number of sedans to the number of suvs produced by company x last year? 1) last year, if the number of sedans produced by company x had been 8 percent greater, the number of sedans produced would have been 150 percent of the number of suvs produced by company x 2) last year, company x produced 565,000 sedans and 406,800 suvs

Answers

The ratio is 25:18.

This problem is related to the ratio and proportion.

here it's miles given that if the number of sedans produced by organisation x have been extra by using 8% then the quantity would be one hundred fifty % of the quantity of SUVs.

1) Let that the number of sedan produced be x and number of SUVs be y.

Now according to question,

   [tex]x+\frac{8}{100}*x =\frac{150}{100}*y[/tex]

⇒[tex]\frac{108x}{100}=\frac{150y}{100}[/tex]

⇒[tex]\frac{x}{y} =\frac{150}{108}[/tex]

∴ x : y=25 : 18

2) Now again the ratio =[tex]\frac{565000}{406800}[/tex]

                                    =[tex]\frac{5650}{4068}[/tex]

                                    = [tex]\frac{25}{18}[/tex]

So, the ratio of the number of sedans to the number of SUVs is 25:18.

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I’ll mark u as brainlist if u help with this one

Answers

Answer:

(11, 18) or x = 11, y = 18

Step-by-step explanation:

I've deduced that equation 1 is y = x + 7 (just by the pattern)

and the second one is y = 26.25 - 0.75x

Solving this system of equations you get x = 11 and y = 18

Answer:

x = 11 and y = 18

Step-by-step explanation:

The company in the example on page 301 decides to increase the capacity of its large bottles from 32 fl oz to 40 fl oz. It plans to keep the ratio of capacity to cost the same. How much should the company charge for a bottle that holds 40 fl oz

Answers

Answer:

Cost of new bottle = 1.25a

Step-by-step explanation:

Given:

Volume of old bottle = 32 fl oz

Volume of new bottle = 40 fl oz

Computation:

Assume price ratio of old bottle = a

So,

Price ratio of new bottle [Compare by capacity] = [40/32]a

Cost of new bottle = 1.25a

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)?

f(150) represents the average number of days houses stay on the market before being sold for $150,000.
Houses sell on the market for an average of $150,000 and stay on the market an average of 150 days before being sold.
Houses sell for an average of $150,000.
f(150) indicates houses stay on the market an average of 150 days before being sold.

Answers

Answer:

This is the average number of days the house stayed on the market before being sold for $150,000.

Step-by-step explanation:

f(p) is defined as the average number of days a house stays on the market before being sold for price p (given in $1000).

We want f(150); this means p=150. Since p is in thousands of dollars, this means the price of the house was $150,000.

This means f(150) is the average number of days the house stayed on the market before being sold for $150,000.

Answer:

The statement that best describes f(150) is D

Step-by-step explanation:

D. f(150) indicates houses stay on the market an average of 150 days before being sold.

Because houses stay on the market for 150 days before being sold.

Have a nice day!!!

Please help! I need help i keep getting them wrong

Answers

Answer:

[tex]y = \frac{7}{4}x - \frac{5}{4}[/tex]

Step-by-step explanation:

Equation of line K:  [tex]y = \frac{-4}{7}x + 1[/tex]

m₁ = -4/7

The slope of line I = -1 / m₁ = -1÷(-4/7)

                            = [tex]-1 * \frac{-7}{4}[/tex]

                            = 7/4

( -5 , -10) ; m = 7/4

y - y1 = m(x - x1)

y - [-10] = [tex]\frac{7}{4}(x -[-5])[/tex]

y + 10  = [tex]\frac{7}{4}(x +5)\\[/tex]

y + 10 = [tex]\frac{7}{4}x+5*\frac{7}{4}\\[/tex]

        [tex]y = \frac{7}{4}x + \frac{35}{4} - 10\\\\y = \frac{7}{4}x + \frac{35}{4} -\frac{40}{4}\\\\y = \frac{7}{4}x + \frac{35-40}{4}\\\\y = \frac{7}{4}x - \frac{5}{4}[/tex]

50 points and BRAINLIEST

Answers

Answer:

AZ = 12.80

Step-by-step explanation:

There are 2 triangles in the square XARS. Squares are always congruent, all sides are the same. Given that WT is 6, we can assume that RS is also 6 (because of congruency). RA is is the hypotenuse of the triangle ARS. To find AS, we can plug in the pythagorean theorem 6^2+x=^2=10^2. We end up getting square root of 64 which simplifies to 8. AS is now 8. We also know that ST is 6 since the square WRST has all congruent sides. 8+6=14 gives us line AT. TZ is 8 due to triangle XAR and the congruency theorem. Now we plug in pythagorean theorem to find AZ and we get 8^2+10^2=x^2. After simplifying the square root of 164, we see that AZ is equal to 12.80

Answer:

12.80

Step-by-step explanation:

SO IT IS 12.80 BECAUSE IT IS 12.80. SIMLIFY TO 12.8 SO YEAH!!

HOPE YOU UNDERSTAND.

Will mark as branliest and heart if help

Answers

Answer:

A

Step-by-step explanation:

A would be the easiest to simply because all you’re doing is adding the numbers up, instead of dealing with negative, and fractions.

PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

b

Step-by-step explanation:

Which expression gives the correct volume of the steps?

Math item stem image
CLEAR CHECK

4×4×1 cubic feet



(4×4×1)+(3×3×3) cubic feet



(4×4×1)+(3×3×1)+(2×2×1)+(1×1×1) cubic feet



(4×4×4)+(3×3×3)+(2×2×2)+(1×1×1) cubic feet

Answers

Answer:

(4×4×4)(3×3×3)(1×1×1) Cubic feet

Which fraction has the same value as 3/5 + 1/3?

Answers

Answer:

4/15

Step-by-step explanation:

Answer:

Answer: If you find the common denominator of both fractions, it is 15!

Your answers are gonna be 9/15 + 5/15

If you add them, you get 14/15

Hope this helps!

Also please correct me if I am wrong aa

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