Keller wants to give his friend 2 books. He can choose books on subjects from fiction, history, computers, science, general knowledge, and art. How many combinations of 2 different subjects are possible?

8
15
12
30

Answers

Answer 1

Answer:

15

Step-by-step explanation:

Pat, Jo, Al, Dan

Pat, Al, Dan, Jo

Pat, Dan, Jo, Al

Pat, Jo, Dan, Al

Pat, Al, Jo, Dan

Pat, Dan, Al, Jo List all permutations beginning with Pat.

Jo, Al, Dan, Pat

Jo, Dan, Pat, Al

Jo, Pat, Al, Dan

Jo, Al, Pat, Dan

Jo, Dan, Al, Pat

Jo, Pat, Dan, Al List all permutations beginning with Jo.

Al, Dan, Pat, Jo

Al, Pat, Jo, Dan

Al, Jo, Dan, Pat

Al, Pat, Dan, Jo

Al, Dan Jo, Pat

Al, Jo, Pat, Dan List all permutations beginning with Al.

Dan, Pat, Jo, Al

Dan, Jo, Al, Pat

Dan, Al, Pat, Jo

Dan, Jo, Pat, Al

Dan, Pat, Al, Jo

Dan, Al, Jo, Pat List all permutation beginning with Dan.

There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.


Related Questions

Pablo sold liters of soda at a baseball game. How much is this in milliliters ?

Answers

Answer:

See below

Step-by-step explanation:

# liters  x  1000   = ml  sold

10.) Part A: What is the area, in square feet, of the kitchen?
A homeowner created this diagram showing the dimensions of the kitchen
and the family room in his house.
K-5 ft-* 10 ft-
10 ft
kitchen
family
room
To
10 ft
5 ft
דם
- 15 ft
15 ft

Answers

The computation shows that the area of the kitchen that's in the home in square feet is 50ft².

How to calculate the area?

It should be noted that an area of a rectangular space is calculated by multiplying the length by the width.

In this case, the area of the kitchen will be:

= 5ft × 10ft

= 50ft²

Learn more about area on:

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Yoko made $324 for 18 hours of work.
At the same rate, how much would she make for 12 hours of work?

Answers

Answer:

$216

Step-by-step explanation:

324 / 18 = 18. (Meaning she makes 18 dollars an hour)

18 * 12 = 216

Answer:$216

Step-by-step explanation: Rate per hour is 324/18=18

12hours =18×12

y=mx+b (-6,-5) and (-4,-4)​

Answers

Step-by-step explanation:

We will put this in y=mx +b form so first calculate the slope

m= (-4)-(-5)/(-4)-(-6)

m= 1/2. So y= x/2. +b

Now just substitute the x and y values of either given point to calculate b

I will use (-4,-4)

-4= (1/2)(-4) +b

-4= -2 +b

b=-2

So equation is y= x/2 -2

...................................

I search it.

Answer:

Step-by-step explanation:

Equation of line in slope- y intercept form:

First find the slope.

[tex]\boxed{Slope= \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

          [tex]\sf = \dfrac{-4-[-5]}{-4-[-6]}\\\\=\dfrac{-4+5}{-4+6}\\\\=\dfrac{1}{2}[/tex]

Equation:

[tex]y =\dfrac{1}{2}x+b[/tex]

Choose any point and substitute the x and y value in the above equation.

(-6,-5)

[tex]\sf -5=\dfrac{1}{2}*(-6) + b\\\\-5 = -3+b\\\\-5+3=b\\\\-2 = b[/tex]

Equation:

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


A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Part A: What is the expression that represents the area of the rectangle? Show your work.

Part B: What are the degree and classification of the expression obtained in Part A?

Part C: How does Part A demonstrate the closure property for polynomials?

Answers

Answer:

Down Here ↓↓↓

Step-by-step explanation:

Hello!

A)

The area of a rectangle is L * W.

Area = (6x + 4)(2x + 11)Area = 12x² + 8x + 66x + 44Area = 12x² + 74x + 44

B)

The degree of a polynomial is the value of the highest exponent. The degree of 12x² + 74x + 44 is 2, because 2 is the highest exponent.

C)

This demonstrates the closure property, as adding, subtracting, and or multiplying polynomials will give a polynomial.

Find the equation of the circle in standard form.
center (5,-5)
radius = 3 units

Answers

Answer:

(x - 5)² + (y + 5)² = 9

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (5, - 5 ) and r = 3 , then

(x - 5)² + (y - (- 5) )² = 3² , that is

(x - 5)² + (y + 5)² = 9

What is the distance between the points (-4 , -11) and (-4 , 20) in the coordinate plane?

Answers

There isn’t a difference in the x-coordinates here, so I’m going to say that it’s 31 units.

I need help please !!!!!!!

Answers

Answer: The answer is C

The awnser is C . HAVE A GOOD DAY

a polygon is graphed on a coordinate plane the coordinates of the polygon vertices are listed (2,2,-6,-5,-6,-4,-1,-7,0,0

Answers

(-1,4) • 13.-1)

Step-by-step explanation:

3. Kyle starts with $15.00 and saves $3.50
each day. What expression represents
the total amount Kyle saves?
A $3.50
B $15.00
C 3.5t + 15, where t is the number
of days
D 15t + 3.5, where t is the number
of days

Answers

Answer:

C 3.5t + 15, where t is the number

of days

I need help asp please!!!

Answers

Answer:

Option B, [tex]516.3\ units[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the back

[tex]A = l * w[/tex]

[tex]A = 10\ units * 13\ units[/tex]

[tex]A = 130\ units^2[/tex]

Step 2:  Determine the hypotenuse

Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]

[tex](10-6)^2\ units + 7^2\ units = c^2[/tex]

[tex]4^2\ units + 7^2\ units=c^2[/tex]

[tex]16\ units+49\ units=c^2[/tex]

[tex]\sqrt{65}=\sqrt{c^2}[/tex]

[tex]8.06 = c[/tex]

Step 3:  Determine the area of the top

[tex]A = l * w[/tex]

[tex]A = 13\ units * 8.06\ units[/tex]

[tex]A = 104.81\ units^2[/tex]

Step 4:  Determine the area of the front

[tex]A = l * w[/tex]

[tex]A = 13\ units * 6\ units[/tex]

[tex]A = 78\ units^2[/tex]

Step 5:  Determine the area of the bottom

[tex]A = l * w[/tex]

[tex]A = 13\ units * 7\ units[/tex]

[tex]A = 91\ units^2[/tex]

Step 6:  Determine the area of the trapezoid

[tex]A = \frac{a + b}{2} * h[/tex]

[tex]A = \frac{10\ units\ +\ 6\ units}{2}*7\ units[/tex]

[tex]A = 8\ units*7\ units[/tex]

[tex]A = 56\ units^2[/tex]

Step 7:  Determine the total surface area

[tex]130\ units^2 + 104.81\ units^2 + 78\ units^2 + 91\ units^2 + 2(56\ units^2)[/tex]

[tex]515.81\ units^2[/tex]

Answer:  Option B, [tex]516.3\ units[/tex]

Jason is considering two different jobs that he has been offered and he likes the atmosphere and

other employees equally at both companies.

With the first job he would be an apartment property manager for AMLI Company. This job is

offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he

sets a one year lease up with. The company expects Jason to work all 52 weeks of the year and 40

hours per week. He was told he could expect to set up an average of 5 lease agreements for each

week that he works.

With the second job he would work as water treatment facility manager in Gwinnett County. He

would be paid an annual salary of $46,000 a year, there are no bonuses by he gets a week off.

Both companies deduct for Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and

Federal Income Tax (14%).

AMLI's individual health insurance costs $115 per month. Gwinnett County's health insurance is

only $25 per month for an individual.

Part A: Determine how much Jason will receive in one year after all deductions have been taken

for each company. Show your work neatly.

Answers

The amount of money that Jason will receive in one year after all deductions have been taken for each company is $30,780.5 and $32562.

What is the final amount?

With the first job, he would be an apartment property manager for AMLI Company.

This job is offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he sets a one-year lease-up with.

The company expects Jason to work all 52 weeks of the year and 40 hours per week.

He was told he could expect to set up an average of 5 lease agreements for each week that he works.

The amount after one year will be given by an equation

Let y be the amount, x be the number of hours in a week and z be the number of the week.

y = 19x + 40z

The total number of hours in a year will be

x = 2080

Then

y = 19 × 2080 + 40 × 52

y = $ 41,600

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 41,600 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 32,160.5

The amount after the insurance will be

Amount = 32160.5 - 115 × 12

Amount = $ 30780.5

With the second job, he would work as a water treatment facility manager in Gwinnett County. He would be paid an annual salary of $46,000 a year, there are no bonuses and he gets a week off.

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 46,000 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 35,562

The amount after the insurance will be

Let the number of the worker be 10. Then

Amount = 35,562 - 10 × 12 × 25

Amount = 35562 - 3000

Amount = $32562

More about the final amount link is given below.

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Answer this question. There are 3 answers​

Answers

Answer:

uh?

Step-by-step explanation:

A polygon has 8 sides. any line segments connecting any 2 points on the polygon will consist of no points outside of the polygon. complete the statement. the polygon is and is .

Answers

Answer:

an octagon and convex

Step-by-step explanation:

cuz i said so

Answer:

an octagon and convex

Step-by-step explanation:

You put a fence around the dog pen and fill it with gravel. The fence costs $1.75 per foot. One bag of gravel covers 8 square feet and costs $1.50. How much do you spend?

Answers

Answer: Ok so you do 8(1.75+1.50) and then times it by four since it’s a dog fence,I did this on calculator+ so that should be a good answer,the answer is 104

Step-by-step explanation:

I will give brainliest

Bob's driveway is a rectangular shape with a length of 45 feet and a width

of 18 feet. Yolanda wants to find the area of Bob's driveway in yards. She

made sense of the problem by first finding the area of the driveway in feet

by doing 45(18) = 810 square feet. She then converted the area into yards

by doing 810(3). Her final answer was 2430 square yards. Did Yolanda

correctly make sense of the problem? If not, provide the correct solution

Answers

Answer: she was not correct, she messed up the equation.

A boat traveled 27 miles in 3 hours. At this rate how many mile will the boat travel in 1/2 hour?

Answers

[tex]\begin{array}{ccll} miles&hours\\ \cline{1-2} 27 & 3\\ x& \frac{1}{2} \end{array} \implies \cfrac{27}{x}=\cfrac{3}{~~ \frac{1}{2}~~}\implies \cfrac{27}{x}=6 \\\\\\ 27=6x\implies \cfrac{27}{6}=x\implies \cfrac{9}{2}=x\implies 4\frac{1}{2}=x[/tex]


What trigonometric ratio is 6/10?

sinA
cosC
tanC
tanA

Answers

Answer: tanA

Step-by-step explanation:

4x^2+10=11
solve equation using the square roots method

Answers

Answer:

x = 1/2, −1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

If u could help with this I’d really appreciate it

Answers

Answer:

it reflection over the y axis not the x axis

Step-by-step explanation:

I can't remember how to do this

Answers

Answer:

i think it is 12 but i am not sure

Step-by-step explanation:

companies. After how many miles
are the total costs at the
OI two truck rental
two companies equal?
Company A:
Company B:
$20 per day plus $.70 per mile
$45 per day plus S .25 per mile

Answers

Set up the equation and solve for miles:


20 + 0.70m = 45 + 0.25m

Subtract 20 from both sides

0.70m = 25 + 0.25m

Subtract 0.25m from both sides

0.45m = 25

Divide both sides by 0.45

M = 55.56 miles


answer: 55.56 miles ( rounded to nearest hundredth’s)

Rabbits can exhibit a number of colors in their coats: black, white, tan, brown, red, and grey. A disease randomly kills off most of the population and leaves only black and grey rabbits. Future generations are only black or grey. What is the term used to describe this phenomenon

Answers

Answer:

Genetic drift

Step-by-step explanation:

I took da test

The term used to describe this phenomenon of future generation fluctuations would be Genetic drift.

What is Genetic drift?

Genetic drift refers to the random fluctuations in the number of offspring in a population.

Rabbits can exhibit several colors in their coats: black, white, tan, brown, red, and grey.

A disease randomly kills off most of the population and leaves only black and grey rabbits.

Future generations are only black or grey. We can see that the future rabbits have some common colors that are given by their parents.

So, this must be Genetic drift.

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A census was conducted that determined the land area and populations of towns in a certain region. the frequency table displays some of the results. rounded to the nearest hundredth, what values complete the conditional relative frequency table? a = b =

Answers

The value of a in the conditional relative frequency table is 0.58.

The value of b in the conditional relative frequency table is 0.42.

What is a conditional relative frequency table?

A conditional relative frequency table is a two-way table that contains information on the proportion of a population that has a particular characteristic.

a = 32/53 = 0.58

b = 23 / 53 = 0.42

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Answer:

The value of a in the conditional relative frequency table is 0.58.

The value of b in the conditional relative frequency table is 0.42.

Step-by-step explanation:


The Rhythm Record Shop orders sixty-minute cassette tapes at $1.49 and CDs at $4.98. A total of 451
items were ordered and the total amount of the invoice is $1240.86. How many of each item were
ordered?

Answers

The number of sixty-minute cassette tapes ordered is 288 and the number of CDs ordered is 163.

What are the linear equations that represent this question?

1.49a + 4.98b = $1240.86 equation 1

a + b = 451  equation 2

Where:

a = number of sixty-minute cassette tapes ordered b = number of CDs ordered

How many CDs were ordered?

Multiply equation 2 by 1,49

1.49a + 1.49b = 671.99 equation 3

Subtract equation 3 from equation 1

568.87 = 3.49b

Divide both sides of the equation by 3.49

568.87 / 3.49

b = 163

How many sixty-minute cassette tapes were ordered ?

Subract 163 deom 451

451- 163 = 288

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x, miles y, cost ($) 0 2.00 1 2.75 2 3.50 3 4.25 4 5.00 13) The cost of a cab trip, y, is given by the table, where x is the number of miles traveled. Which THREE statements are correct? A) The rate of change is $0.75. B) A ten-mile trip would cost $12.00. C) The initial passenger fee is $2.00. D) A twenty-mile trip would cost $17.00. E) The cost of a cab trip can be modeled by the function y = 1x + 2. Help

Answers

Answer: A, C, D

Step-by-step explanation: Lot's of brain stuffs

Write an equation that represents each diagram and find the value of x.

Answers

[tex]\mathbb{QUESTION:}[/tex]

Write an equation that represents each diagram and find the value of x.

[tex]\mathbb{ANSWER:}[/tex]

A.

(x+3)(x+2)=0 which technique is most appropriate to use to solve each equation?
A. Zero product property
B. quadratic formula
C. square root property

Answers

The value of x by using the zero product property therefore option A is correct.

We have given that,

(x+3)(x+2)=0

we have to determine the technique that is most appropriate to use to solve each equation

What is the zero product property?

The Zero Product Property simply states that if ab = 0, then either a = 0 or b = 0 (or both).

Therefore we have

(x+3)=0 and (x+2)=0

This implies that,

x+3=0

x=-3 and (x+2)=0 this implies that x=-2

Therefore we get the value of x by using the zero product property therefore option A is correct.

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If a customer’s total is $9. 02 and he/she gives you a $10. 00 bill and 2 pennies, how much do you have to give back in change? *

Answers

If the customer gave you the cens you just have to subtract the 10 from 9 and what ever is left is the total change. 10 - 9 = 1$

Use the diagram to determine the length of LJ

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's use distance formula ~

[tex]\qquad \tt \dashrightarrow \:LJ = \sqrt{(x1 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex]\qquad \tt \dashrightarrow \:LJ = \sqrt{(0) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex]\qquad \tt \dashrightarrow \:LJ = \sqrt{ {}^{}(y2 - y1) {}^{2} } [/tex]

[tex]\qquad \tt \dashrightarrow \:LJ = { {}^{}y2 - y1 {}^{} } [/tex]

I hope it was easy enough to understand, ask me if you have any doubts ~

Other Questions
summarize the following excerpt:At the moment when the ray of moonlight superposed itself, so to speak, upon that inward radiance, the sleeping Bishop seemed as in a glory. It remained, however, gentle and veiled in an ineffable halflight. That moon in the sky, that slumbering nature, that garden without a quiver, that house which was so calm, the hour, the moment, the silence, added some solemn and unspeakable quality to the venerable repose of this man, and enveloped in a sort of serene and majestic aureole that white hair, those closed eyes, that face in which all was hope and all was confidence, that head of an old man, and that slumber of an infant. There was something almost divine in this man, who was thus august, without being himself aware of it. Jean Valjean was in the shadow, and stood motionless, with his iron candlestick in his hand, frightened by this luminous old man. Never had he beheld anything like this. This confidence terrified him. The moral world has no grander spectacle than this: a troubled and uneasy conscience, which has arrived on the brink of an evil action, contemplating the slumber of the just. That slumber in that isolation, and with a neighbor like himself, had about it something sublime, of which he was vaguely but imperiously conscious. No one could have told what was passing within him, not even himself. In order to attempt to form an idea of it, it is necessary to think of the most violent of things in the presence of the most gentle. Even on his visage it would have been impossible to distinguish anything with certainty. It was a sort of haggard astonishment. He gazed at it, and that was all. But what was his thought? It would have been impossible to divine it. What was evident was that he was touched and astounded. But what was the nature of this emotion? 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