Mathematics College

The Jacobsens are planning to build a house in a new development. They can either build the base model offered by the builder or add any of the following options: deck, hot tub, security system, or hardwood flooring. How many different variations are possible

Answers

Answer 1

Answer:

16 ways

Step-by-step explanation:

Number of available options other than the base model = 4

Hence ;

Jacobsen can choose :

Base model OR (base model + one option) OR (base model + 2 options) OR (Base model + 3 options) OR (Base model + 4 options)

4C0 + 4C1 + 4C2 + 4C3 + 4C4

Recall:

nCr = n! / (n-r)!r!

Using calculator :

4C0 + 4C1 + 4C2 + 4C3 + 4C4

1 + 4 + 6 + 4 + 1

= 16 ways

Answer 2

The different variations that is possible are :

-16 ways

"Permutation and Combination"

Number of available options other than the base model = 4.

Jacobsen can choose :

Base model OR (base model + one option) OR (base model + 2 options) OR (Base model + 3 options) OR (Base model + 4 options)= 4C0 + 4C1 +

4C2 + 4C3 + 4C4

Formula:nCr = n! / (n-r)!r!nCr =4C0 + 4C1 + 4C2 + 4C3 + 4C4nCr =1 + 4 + 6 + 4 + 1nCr= 16 ways

Learn more about "Combination":

https://brainly.com/question/1550504?referrer=searchResults

Related Questions

Work out, giving your answer in its simplest form:

3 1/2 ÷ 2 3/5

Answers

Answer:

this is the ans- 3.36956522

Find the slope using points:(2, 2) and (-5, 4)

Answers

Answer:

2/-7

Step-by-step explanation:

Answer:

-2/7

Step-by-step explanation:

A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, the elevation is 6200 feet above sea level.

a. Find the elevation of the road at the point where the road begins.

b. Describe where you would see the point in part (a) on a graph where y represents the elevation in feet and x represents the distance along the road in miles.

15 points

Answers

Answer:

It starts at 2000 feet

7, 8

Step-by-step explanation:

Answer:

2000 ft

(7,8)

Step-by-step explanation:

1131 divided by 29 \

Answers

Answer:39

Hope it helps :)

it’s 39 i hope this helped you

Can someone please answer this question for me please ?

Answers

Answer:

im doing i ready rn too and its hardd ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solve the system of equations.

{−x+y=13x−y=5
What is the y-coordinate?

Enter your numeric answer only.

Answers

Answer:

i have find the value of x and y in above figure hope it helps

The y-coordinate that represents the solution to the system of equations is 4

The equations are given as:

[tex]-x+y=1[/tex]

[tex]3x-y=5[/tex]

Make x, the subject in the first equation

[tex]-x+y=1[/tex]

[tex]x = y - 1[/tex]

Substitute y - 1 for x in the second equation

[tex]3x-y=5[/tex]

[tex]3(y - 1) - y = 5[/tex]

Open the brackets

[tex]3y - 3- y = 5[/tex]

Collect the like terms

[tex]3y - y = 5+3[/tex]

Evaluate the like terms

[tex]2y = 8[/tex]

Solve for y

[tex]y = 4[/tex]

Hence, the y-coordinate is 4

Answers

Answer would be 240 photos.

m < CDE is 82.5°, what is the measure of its complement?

Answers

Answer:

7.5°

Step-by-step explanation:

Complementary angles add up to 90°. 90 - 82.5 = 7.5

Pls help!!!!
What is the estimated sum of 6/7+ 4/7

Answers

Answer:

10/7 or 1 3/7

Step-by-step explanation:

Using a scale, or rate, of Inch per foot, calculate the room's dimensions for your drawing.

Answers

Answer:

Scaling is used to resize the dimension of a structure to fit the different platforms, like from structure to paper.

Step-by-step explanation:

To resize down-scale the dimension of a room, if the scale is 1/4 inches per foot, then the size of a 6x4 feet (width and length) room would be;

1/4 x 6 = 1.5 inches

1/4 x 4 = 1 inches

that is, 1.5 x 1 inch on paper when scaled down.

Which sender describes the fewest moves needed to move the unshaded shape exactly over the shaded shape.
A. Turn only
B.turn and slide
C.slide only
D.flip only

Answers

ghjjyxix6ix6id5s5is5us

A group of friends went out for dinner and decided to split the cost of the $196 bill equally. If each person contributed $30, they would not have enough to leave a 15% tip. But if each person contributed $33, they would cover the bill and a 15% tip and have $5.60 left over. How many friends went out to dinner? 1 point

Answers

Answer:6 friends

xcvbnm, zxdfghjk,cxdfghjm

What is equivalent 14×14

Answers

Answer:

196

Step-by-step explanation:

14 squared is 196. if thats the answer your looking for

Answer:

196 i believe.

Step-by-step explanation:

hopes this helps :)

I’m confused on this and I need help

Answers

Answer:

it would be the 4th one

Step-by-step explanation:

0 would be the flat surface of the earth, but since the hiker is below the 0, it would be a negative 25

Can someone help me out please

Answers

here are some of them

40 30 and 90 those are the ones I could figure outb

The sum of two consecutive integers is −51. Find the integers.

Answers

9514 1404 393

Answer:

-26, -25

Step-by-step explanation:

The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.

Hence, one is -26 and one is -25.

what is the area of this figure to the nearest square centimeter

Answers

Answer:

I think is A) 33

Step-by-step explanation:

C danryyrwjtehtwhwtjwtwrh

I will give brainiest to whoever answers correctly !!

Answers

Answer:28170.4551

Step-by-step explanation:

40000=P(1+2.7℅/12)^12*13=28170.4551

Please remember to explain how you got your answer!!!

If you drive 165 miles in 3 hours, how many miles can you expect to drive in 5 hours traveling at the same average speed?

Answers

275 miles! STEP-BY-STEP Explanation:
165/3 = 55 miles per hour, so multiple 55 by 5 which is 275 miles for 5 hrs!

Try It!
(») 1. Write a compound inequality for the graph.
+
0
-2
6 help neededddd!!

Answers

Answer:

-2 < x ≤ 6

Step-by-step explanation:

This graph shows conjunction. This means that the two statements of the inequality bare true at the same time. Therefore, it follows that:

x > -2 ("we use greater than" because the empty/unshaded circle indicates that -2 is not included)

And

x ≤ 6 (we use greater than or equal to because the shaded circle indicates 6 is included)

Joining both statements together, we would have:

-2 < x ≤ 6

Identify the terms and like terms in the expression 8 - x2 + x - 4x.

Answers

Answer:

Step-by-step explanation:

all those terms can be devided by x

Answer:

The terms are 8, -2x, x, and -4x. Like terms are -2x, x, and -4x because they have the same variable raised to the same exponent.

Step-by-step explanation:

INPUT----》Subtract 7 -------》Divide by 3------》OUTPUT

Answers

Answer:

[tex]y = \frac{1}{3}(x - 7)[/tex]

Step-by-step explanation:

Required

Determine an expression for the output

Input

Let the input be x

So, we have:

Process

Subtract 7: [tex]x - 7[/tex]

Divide by 3: [tex]\frac{1}{3}(x - 7)[/tex]

Output:

Let the output be y; So, we have:

[tex]y = \frac{1}{3}(x - 7)[/tex]

Consider the division expression 713÷ 3. Select all multiplication equations that correspond to this division expression.

:options
3⋅?=7 1/3
7 1/3⋅?=3
3⋅7 1/3=?
?⋅7 1/3=3
?⋅3=7 1/3

Answers

Answer: here

Step-by-step explanation: id say about 322 cuase of the decimal

what is the product of 18 and 27? show your work

Answers

Answer:

Step-by-step explanation:

18+27= 45

8+7=15

2+1= 3

15x3= 45

On a coordinate plane, triangles have points (negative 4, 1), (negative 1, 2), (negative 1, 1) and (negative 4, negative 1), (negative 1, negative 1), and (negative 1, negative 2). Which type of transformation would move figure 1 onto figure 2? translation reflection rotation dilation

Answers

Answer:

Each point has moved the same number of units. The sides of the image and pre-image are congruent. The image is a slide of the pre-image.

Step-by-step explanation:

Graph the two images.

They do not seem distorted at all, they are just moved. This makes the slide statement true and the different shape statement false.

Answer:

reflection

Step-by-step explanation:

Paul is filling a kiddy pool that can hold up to 25 gallons of water. The water hose fills the tub at a constant rate. When Paul checks the pool, it contains 5 gallons of water. Three minutes later, the pool contains 7.4 gallons of water. At what rate does the pool fill up with water?

Answers

Answer:

0.8 gallons per second

Step-by-step explanation:

Given that :

Filling occurs at a constant rate ;

Change in gallon of water in pool within a 3 seconds time interval ;

Assume :

At t = 0 ; gallons = 5

At t = 3 ; gallons = 7.4

Chanhe in gallons with time.;

(7.4 - 5) / (3 - 0)

2.4 / 3

= 0.8 gallons per second

Homework #16- Complete all odd questions.
K
1. Find the value of 5xyif x = 2 and = 3.
2
* 2. Simplify the expression: - (ox – 18)
2

Answers

Question 1)

Given

The expression is 5xy

To determine

Find the value of 5xy if x = 2 and y = 3

5xy

substitute x = 2 and y = 3

5xy = 5(2)(3)

= 5(6)

= 30

Therefore, the value of 5xy = 30 if x = 2 and y = 3.

Note: your remaining questions are not mentioned. But, the procedure may remain the same. Hopefully, your concept will be cleared anyway.

please help me please please

Answers

The person above me is correct! ^^

16.4 divide 0.8 what is the answer

Answers

20.5 is the answer, have a great day!

Answer:

20.5

Step-by-step explanation:

5x-18<-8 I need help step by step

Answers

Answer:

x < 2

Step-by-step explanation:

[tex]5x - 18 < - 8 \\ 5x - 18 + 18 < - 8 + 18 \\ 5x < 10 \\ \frac{5x}{5} < \frac{10}{5} \\ x < 2[/tex]

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