Your field experience instructor wants to line up 7 cars for transportation to a grade school. Between you and your classmates, there are 29 cars available. How many different groups of 7 cars are possible? different groups

Answers

Answer 1

Answer:

1560780 selections

Step-by-step explanation:

Given

Cars = 29

Selection = 7

Required

Possible number of selections

The interpretation of the question is that, in how many ways can 7 cars be selected from 29.

This is done using combination formula as follows:.

[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]

Where

[tex]n = 29[/tex]

[tex]r = 7[/tex]

So, the formula becomes:

[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]

[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]

[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]

[tex]^{29}C_7 = 1560780[/tex]

Hence, the number of ways is 1560780


Related Questions

Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.

A. 8 – 3x = 2x + 4; x = 2.4
B. 8 – 3x = 2(x + 4); x= 0
C. 3x – 8 = 2x + 4; x= 12
D. 3x – 8 = 2(x + 4); x = 16

Answers

Answer:

It is either b or d but I think it is b

Step-by-step explanation:

pls do 12-17!! im struggling. will give brainliest + 62 points

Answers

The answer is 5 hopes this helps

Answers (all in complete sentence):

12. A linear function because it goes at a constant rate of change.

13. A linear function because it goes at a constant rate of change.

14. A nonlinear function because it doesn’t go at a constant rate of change.

15. a. The missing y-value is 4.20 that makes the table represent a linear function.

     b. y=1.4x is a linear funcation that represents the cost y of x pounds of seeds.

16. The table represents a nonlinear function because the change in the wavelength, x divided by the change in the frequency, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.

17. The table represents a nonlinear function because the change in the height, x divided by the change in the steps, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.

Hope this helps and answers your questions :)

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

A

Step-by-step explanation:

Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!

Which number line shows the solution to the inequality 5x + 3> - 17

Answers

Answer:

C would be the correct number line

Step-by-step explanation:

5x ≥ - 17 - 3

5x ≥ -20

5x/5 ≥ -20/5

x ≥ 4

what is the answer for
3x÷2=6​

Answers

Answer:

x = 4

Step-by-step explanation:

3x÷2=6

Multiply both sides by 2.

3x = 12

Divide by 3.

x = 4

Answer:

x=4

Step-by-step explanation:

To solve [tex]\frac{3x}{2}[/tex]=6 you need to isolate the variable. To do this you need to do the opposite operation of all of the constants.

First, multiply both sides by 2,

[tex]\frac{3x}{2}[/tex]*2=6*2

3x=12

Then divide both sides by 3,

3x/3=12/3

x=4

mrs Moore worked 42 hours and 35 minutes last week. How many hours and minutes did she average in each of the five days?

Answers

Answer:

6.08333333 hours

Step-by-step explanation:

((42 hours) + (35 minutes)) / 7 = 6.08333333 hours

hope this helps LOL :)

Answer:

511 min or 8 hrs and 52 min

Step-by-step explanation:

first you need a common subject so convert 42 hours into min, which is 2,520 then add the 35 which gives you 2,555 total.

then divide by 5 which gives you the adverage of 511 min

convert answer into hours which is about 8 hours and 52 min rounding up

An $800 couch is marked up 20%. (increase) What is the new price of the couch? ​

Answers

Answer:

The new price of the couch is $960

Step-by-step explanation:

F(x)=4x+5whsts the value of. F(-3). Is




Answers

Figure out the value

Answer:

F(-3) = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

F(x) = 4x + 5

F(-3) is x = -3

Step 2: Evaluate

Substitute:                    F(-3) = 4(-3) + 5Multiply:                        F(-3) = -12 + 5Add:                              F(-3) = -7

PLEASE HELP FAST AND CORRECT! 50 points!

Answers

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6×X+95=4/5×X

Subtract X from both sides of the equation

Multiply/Combine like terms

95=19/30×X

Multiply by 30/19 and simply

30/19*95=X

Solve for X to get 150

1/6×150=25

4/5×150=120

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6*x+95=4/5*x

Move stuff around

95=1/6+4/5*x

Multiply/Combine like terms  

95=19/30*x

Multiply by 30/19 and then simplify

30/19*95=x

Solve for x

1/6*150=25

4/5*150=120

Describe the graph of y = negative x squared and compare it with the graph of y = x squared.

Answers

Answer:

The graph of the first equation opens downward while the graph of the second equation opens upward.  Both graphs are parabolas that pass through 0,0.

Answer:

The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.

Step-by-step explanation:

This was the possible answer that was given :)

The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $460 a week?

Answers

Answer:

0.74751

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ, where

x is the raw score = $460

μ is the population mean = $490

σ is the population standard deviation = $45

z = 460 - 490/45

z = -0.66667

Probability value from Z-Table:

P(x < 460) = 0.25249

P(x > 460) = 1 - P(x<460)

P(x > 460) = 1 - 0.25249

P(x > 460) = 0.74751

The probability that a randomly selected teacher earns more than $460 a week is 0.74751

Shiloh is splitting a quart of mac n cheese with seven friends. If all 8 of them share the quart equally, how many cups will each person get?
Can someone please help me

Answers

Answer:

0.125 quarts

Step-by-step explanation: One quart divided by 8

Can i be brainliest

(07.03)
How many solutions does the equation 5x + 10 = 5x - 8 have? (4 points)
a
Zero
Ob
One
ос
Two
Od
Infinitely many

Answers

Answer:

0 I think

Step-by-step explanation:

0 solutions because 5x will cancer each other making de solutions undefined

Translate to algebra:

Tom has t dollars. He buys 5 packets of gum worth d dollars each. How much money does he have left?

Answers

Answer: t - 5d

Step-by-step explanation: Since you are buying 5 and they cost d dollars you would multiply 5 by d. Then since you have t dollars as a total you subtract 5d from t so you get t -5d.

A 2 yard piece of ribbon costs $10.80. What is the price per inch?

Answers

Answer:

0.15

Step-by-step explanation:

2 yards = 72

10.80 / 72 = 0.15

1 yard is 36 inches. 2 yards is 72 inches. The question wants you to divide $10.80 into the inches that represent the yards. $10.80 / 72 = $0.15

7. The vertices of a triangle are P(-7, -1). Q(-7, -8), and R(3. -3). Name the vertices of the
image reflected across the line y=x.
OPX4,7). Q18. 7), R3.-3)
OP/4.-7). Q18. -7). R33)
OP(-7). QI-S.-7), R(-3.3)
OPT+7). Q1-8. 7). R(-3, -3)

Answers

After a reflection across line y=x the vertices of triangle P’Q’R’ are as follows
P’= (-1,-7)
Q’= (-8-7)
R’= (-3,3)

The vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).

Therefore, the correct answer is:

P'( -1, -7), Q'( -8, -7), R'( -3, 3)

Here,

To find the image of the triangle vertices reflected across the line y = x, we need to swap the x-coordinates with the y-coordinates.

Original vertices of the triangle:

P(-7, -1)

Q(-7, -8)

R(3, -3)

Now, swap the x and y coordinates to get the reflected image:

Reflected image vertices:

P'( -1, -7)

Q'( -8, -7)

R'( -3, 3)

So, the vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).

Therefore, the correct answer is:

P'( -1, -7), Q'( -8, -7), R'( -3, 3).

To learn more on reflection click:

brainly.com/question/15487308

#SPJ7

Byron is 2 years younger than Cindy. Eight
years ago, the sum of their ages was 14.
How old is Byron now?​

Answers

Step-by-step explanation:

let age of Byron be b yr old and Cindy be c yr old.

c = b + 2 --(1)

b - 8 + c - 8 = 14

b + c = 30 --(2)

sub (1) into (2):

2b = 28

b = 14

therefore Byron is 14 yr old now.

Topic: simultaneous eqns

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

10

Step-by-step explanation:

Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.

Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10

P.S: This just based on my understanding of the problem.

Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?

Answers

Answer

answers is 267 bits oof yard

Step-by-step explanation:

Answer:

146 divided into 18 would be 8.11111111111.. and so on.

Step-by-step explanation:

Hope that helps :)

j
— + 7 = -12
-2

what is the answer​

Answers

j= 30

30/-2 + 7=12
——————

Answer:

j=38

Step-by-step explanation:

j

— + 7 = -12

-2

move the (7) to the other side by subtracting,

-12-7= 19

j

—  = -19

-2

continue by moving (-2) to the other side as well, do so by multiplying,

-19*-2= 38

therefore, j=38

A linear function contains the following points. (0,-4) (4,4) What are the slope and y-intercept of this function?​

Answers

Answer:

slope = 2

y-intercept= -4

Step-by-step explanation:

slope = y2- y1/ x2-x1

slope = 4-(-4) / 4-0

slope = 2

using (4,4) for (x,y)

y= mx+b

4= 2(4)+b

b= -4

What is the answer to m / π = 7.3

Answers

Answer:

m=7.3π=22.93

Step-by-step explanation:

m=7.3π=22.93

(rounded to 2 decimal places)

Explanation:

Multiply both sides by π

mπ×π=7.3×π

m=7.3×π

m=7.3×3.14159....

m=22.9336....

For π, you can use your calculator value as I have done here, or you can use 3.14or3.142or227

You will get slightly different answers each time.

Graph this line using the slope and y-intercept:
y = x + 2
Click to select points on the graph.

Answers

Answer:

points-

(0,2)

(5,3)

(10,4)

I hope this is good enough:

Answer:

Step-by-step explanation:

points-

(0,2)

(5,3)

(10,4)

4.(03.01)
Is the following relation a function? (1 point)


A: Yes
B: No

Answers

Answer:

A

Step-by-step explanation:

X can only have 1 input buy Y can have many

HELPPPP WITH THIS QUESTION PLEASEEE!!!

Answers

Answer:

I believe it is A.

Let me know if this helps!

can u pls help me with this question ​

Answers

Answer:

c

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

The store bought the bike at a wholesale price. The bike store marked up the wholesale cost of the bike by 60%. What was the wholesale cost of the bike if the store sold the bike to Andre for $160?

Answers

Answer: The wholesale cost of the bike = $100

Step-by-step explanation:

Let x = wholesale cost of the bike

As per given,

Selling price = cost price + (Mark up percent) x ( cost price)  (i)

Selling price of bike = $160

Mark up percent = 60% =0.60

Substitute values in (i) , we get

[tex]160= x+0.6x\\\\\Rightarrow\ 160=1.6x\\\\\Rightarrow\ x=\dfrac{160}{1.6}\\\\\Rightarrow\ x= 100[/tex]

Hence, the wholesale cost of the bike = $100

/3
9. At the bowling alley, Angela rented shoes for $3 and it cost her $2.50 to bowl each game.
a) State an equation that represents the cost of bowling in the form C = mx + b, where C is the total
cost and x is the number of games bowled.
b) How much did it cost her to bowl four games?​

Answers

Answer:

$13

Step-by-step explanation:

For the equation, m will be 2.50 and b will be 3.  This is because 2.50 will change as she plays more games.  The 3 will stay the same no matter how many games she plays.

C = 2.5x + 3

To find the cost to bowl four games, plug 4 into x and solve for C.

C = 2.5x + 3

C = 2.5(4) + 3

C = 10 + 3

C = 13

Find the m ULE in the triangle below.
L

109
RU

E49

Find the m ULE. Plzzzzz help hurry

Answers

m ULE is 60 degrees.
The sum of the angles inside a triangle is 180 degrees. Also don’t forget that the sum of supplementary angles is 180.

Greg has 245 cows on his farm. In the mornings, he gives them a total of 5,752 pounds of hay. If each cow eats the same amount, how much hay does each cow eat? A. 26 pounds B. 245 pounds 5,752 C. 117 23— pounds 245 D. 5,507 pounds

Answers

Answer:

I would say A because the real answer is 23.477

Step-by-step explanation:

390% of 120 my brain is turning to mush right now... i have a mental capacity of a 2nd grader

Answers

Answer:

Your answer is 468

Step-by-step explanation:

390% of 120 = 468

Other Questions
ryan had 40$ to buy an apple then on Tuesday he go 9$ how many dollars did he had in all One of the reasons you might struggle to lift a heavy object with your arm fully extended is because:_______. 17 times the sum of a number, n, and 31 is 300. Write as an equation. Give an example of an important black activist during the Reconstruction Period, and explain what they did that was important. (Use complete sentences or you will lose points.) 15-9: Harris Company must set its investment and dividend policies for the coming year. It has three independent projects from which to choose, each of which requires a $3 million investment. These projects have different levels of risk, and therefore different costs of capital. Their projected IRRs and costs of capital are as follows: Project A: Cost of capital: 17%; IRR: 20% Project B: Cost of capital: 13%; IRR: 14% Project C: Cost of capital: 7%; IRR: 9% Haris intends to maintain its 35% debt and 65% common equity capital structure, and its net income is expected to be $7,500,000. If Harris maintains its residual dividend policy (with all distributions in the form of dividends), what will its payout ratio be? PLS HELPPPP MEEE (explain ur answer) Dr. Peabody recorded $6,820 in services provided to clients who make monthly payments. Which of the following statements is correct?A. The dental revenues account is debited $6,820; accounts receivable is credited $6,820.B. Accounts receivable is credited $6,820; the dental revenues account is credited $6,820.C. Accounts receivable is debited $6,820; the dental revenues account is debited $6,820.D. Accounts receivable is debited $6,820; the dental revenues account is credited $6,820. The task of handling how active processes are making efficient use of the CPU processing cycles is called_______? HELPPPPPPP ASAPPPPP PLSSSSSA During an 8-hour shift, Sophia can make24 sweaters. Consider the first four terms of the sequence below. -3, -12,-48,-192, ...What is the 8th term of this sequence?A.) -42,152B.) -768C.) -12,288D.) -196,608 in the middle of the iteration, how should a team handle requirement changes from the customer Sharon has a square picture frame with an areaof 400 inches squared. She wants to decorateone side of the frame with ribbon. What is theamount of ribbon she needs? Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into thecorrect position in the answer box. Release your mouse button when the item is place. If you change your mind, dragthe item to the trashcan. Click the trashcan to clear all your answers.Solve by factoring.x^2 + 6x = -9. Hint: This is a double root. Study the two maps. Then, use the drop-down menus to answer the questions.What part of ancient and modern China has a high population density? How has the population of the Yangtze River valley changed over time? What area is least populated, both in the present and in the past? Enzo sits with a small group of friends at lunch. Lately, he has been very quiet and stays home a lot even though his friends invite him to go places. He likes to play video games in his free time and is slightly overweight. Which behavior is a sign that Enzo may need professional mental health treatment? why did it go to the Supreme Court, what did this case have to do with the constitution? Explain how the immune system responds to pathegons What is the slope of the line that passes through the points (-4, 4)(4,4) and (-6, 6) ?(6,6)? Write your answer in simplest form. Please help I am doing a timed test I will choose brainliestWrite the standard form of the equation of a line with a slope of 3 passing through the point (-1, -5).Select one:a. -x + 3y + 14 = 0b. x - 3y - 14 = 0c. 3x - y - 2 = 0d. -3x + y + 2 = 0