2. Suppose you are making some soup. You have 7 types vegetables in front of you (one serving of each) and you want to include 4 of them in your soup (each being different). How many ways are there to do this?

Answers

Answer 1

3 different ways to do it.

Answer 2

Using the combination formula, it is found that there are 35 ways to do this.

The order in which the vegetables are included is not important, thus, the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given as follows:

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

In this problem, 4 vegetables from a set of 7, thus:

[tex]C_{7,4} = \frac{7!}{4!(7-4)!} = 35[/tex]

There are 35 ways to do this.

A similar problem is given at https://brainly.com/question/24278448


Related Questions

Sara missed 7 of 184 school days this year. Approximately what percent of school days was Sara present?
A. 4%
B. 96%
C. 177%
D. 7%​

Answers

Answer:

B. 96%

Step-by-step explanation:

Sara only missed 7 days of 184 days this year meaning 184 - 7 = 177 and

177 is how many days she attended school, so to figure out percentage take the number of days she attended school and divide by the total amount of days in this year which is 184: 177/184 = 0.96195652173

then multiply by 100 to get percentage so approximately 96%.

2x + y = -3
What’s the solution?

Answers

y= -3 - 2x because all you have to do is move the 2x over to have an x and a y on different sides, and in order to do that you do the opposite so since it is a positive 2, you subtract it and make it negative

Answer:

The slope is, -4.000/-2.000 which = 2.000

Step-by-step explanation:

Brain-List?

Find the area and the circumference of a circle with Diameter 6 yd . Use the value 3.14 for pi , and do not round your answers .

Answers

Step-by-step explanation:

i hope this helps its kind of hard to see but i tried lol


Given: Parallelogram QRST where QR = 6X - 5
and RS = 4x + 13. What is the length of QT?

Answers

since RS and QT are equal your equation would be x=4x+13 so you’d cancel out the 4x which would give you the equation -3x=13 then divide both sides by -3 which would leave you with x=-13/3

The length of QT should be considered when the Parallelogram QRST where QR = 6X - 5 is to be [tex]x=-13/3[/tex].

Calculation of the length of QT:

SInce

Parallelogram QRST where QR = 6X - 5 and RS = 4x + 13

So here we can write like

-3x = 13

x = [tex]-13 /3[/tex]

hence, The length of QT should be considered as the [tex]x=-13/3[/tex].

Learn more about length here: https://brainly.com/question/21005254

Please due soon, please explain too.

Answers

Answer:

x>-15/4

Step-by-step explanation:

1/3(6/8+1/2x)>-3/8

3/4 + 1/2 x>- 9/8

6+4x>-9

4x>-9-6

4x>-15

x>-15/4

Drag the tiles to the correct boxes to complete the pairs.

Match each graph with a description of its correlation.

Tiles:
modest negative correlation
weak negative correlation
perfect negative correlation
modest positive correlation
strong positive correlation.

Answers

Answer:

Graph 1: perfect negative correlation

Graph 2: modest negative correlation

Graph 3: modest positive correlation

Graph 4: strong positive correlation

Graph 5. weak negative correlation

Step-by-step explanation:

If i'm wrong PLEASE correct me

The graph first is perfect negative correlation, graph second is the modest negative correlation.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

As we know, the coefficient of correlation varies between -1 and +1.

If r = +1 (means the relation between the variable is strong and positive)

If r = -1 (means the relation between the variable is strong but negative)

As we can see in the graph, the line goes down represents the negative correlation and the line goes up represents the positive correlation.

So, we can say:

The first graph is perfect negative correlation.

The second graph is modest negative correlation.

The third graph is modest positive correlation.

The fourth graph is strong positive correlation.

The fifth graph is weak negative correlation.

Thus, the graph first is perfect negative correlation, graph second is the modest negative correlation.

 

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ5

So when finding like units for fractions, Example: What are the like units for 2/3 and 1/2?. That has thankfully been answered do I multiply the last two digits?

Answers

Answer:

yes, or find the lowest common multiple (LCM) of the two denominators

Step-by-step explanation:

Simplify the complex fraction shown below: 1/4 over 10/9

Answers

Answer:

9/40 or 0.225

Step-by-step explanation:

What is the slope of the line that passes through the points (6, 7) and (4, 1)?

Answers

Answer:

The answer is 3 Hope this help :)

Step-by-step explanation:(6,7) (4,1)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{1-7}{4-6}[/tex]

[tex]\frac{-6}{-2}[/tex]

x=3

The management of Asteria Inc. is studying the financial reports and statements of the company for the current accounting period. Which accounting head is a part of an off-balance-sheet item?

Answers

Answer:

What are the answers again??

Step-by-step explanation:

Is 47/67 terminating, non terminating or repeating

Answers

Terminating :)))))))))

John and his best friend found some money. They split the money evenly, each getting $14. How much money did they find?

Answers

Answer:

$28

Step-by-step explanation:

John and his best friend each got $14, so in total there are $14+$14=$28.

Answer:

$28

Step-by-step explanation:

If they split the money evenly then both of them got half.

So, multiply 14 by 2 to find the answer:

(14)(2) = 28

John and his best friend found a total of $28.

I hope this helps!!

- Kay :)

Nine times the sum of a number and 8 is 4.

Answers

Answer:

9 x a+8=4 :) <333

9 • r + 8 = 4
( I think)

For each situation, decide whether you would need to find the circumference or area and explain why.


The distance your car tires travel on a trip to Dover. Area or circumference


The amount of icing needed to cover a chocolate frosted donut. Area or Circumference


The amount of sauce needed to cover a pizza. Area or Circumference


The number of bricks used to put a border around a circular pond. Area or Circumference

Answers

Answer:

i need pionts bbut it is b

Step-by-step explanation:

Rae-ko rides her bicycle 35 miles in 2.5 hours. What is her cycling speed in miles per hour?

Answers

Answer:

14

Step-by-step explanation:

35/2.5

uestion to Answer:
1. What can you say about the value of a polynomial
when P(a)=0

Answers

Answer:

The expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Step-by-step explanation:

The question would be better answered if you gave option. Since there is no option, I'll answer the question generally.

Given

[tex]P(a) = 0[/tex]

The above expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Take for instance, the polynomial is:

[tex]P(x) = x^2 - x - 2[/tex]

And the divisor is x - 2, then P(2) = 0 because (x - 2) is a divisor of the equation.

[tex]\frac{P(x)}{x} =\frac{x^2 - x - 2}{x - 2}[/tex]

Factorize the numerator

[tex]\frac{P(x)}{x} =\frac{(x- 2)(x + 1)}{x - 2}[/tex]

[tex]\frac{P(x)}{x} =x + 1}[/tex]

See that x - 2 is a divisor

To check

Set x - 2 to 0

[tex]x -2 = 0[/tex]

[tex]x = 2[/tex]

So, we have:

[tex]P(x) = x^2 - x - 2[/tex]

[tex]P(2) = 2^2 - 2 - 2[/tex]

[tex]P(2) = 4 - 2 - 2[/tex]

[tex]P(2) = 0[/tex]

To graph slope-intercept form, put a point at the _________, then use the _________ to rise and run

Answers

Answer:

b and m or known the y-intercept and slope

Step-by-step explanation:

you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.

then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.

hope that helps

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP SHOW YOUR WORKKKKKKKKKKK PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ


Solve the inequality below.

Answers

Answer:

6.8

Step-by-step explanation:

In order to do this equation you must find out what -6/5u+8 is which has to equal greater than -10.

-6/5 as a decimal is -1.2

-1.2+8= 6.8

So it is 6.8>-10

Helppppp me please I need help please

Answers

Answer:

bruh. this wat im working on too and need help also

Answer:

x = 3.6, the measure of the largest angle is 86.4

Step-by-step explanation:

15x + 24x + 21x = 180

50x = 180

180/50 = 3.6

x = 3.6

-------------------------

24x = 24(3.6)

24 * 3.6

86.4

Which equation represents a linear function

Answers

Answer:y=-3x+10

Step-by-step explanation:

y=-3x +10 represents a linear function because it is y=mx + b form.

PLS HELP I WILL GIVE U 30 POINTS !!!!!!!

Answers

please post another picture this one is rlly blurry and i cant see ugh and i think i know how to do this

Helppppppppppppppppp

Answers

Answer:

AD if my calculations are correct

Step-by-step explanation:

Answer:

I think the answer would be CD

Step-by-step explanation:

If I remember correctly, the angles correspond with the line they are opposite of

Which phrase best represents the following?
n
_ =7
5

Answers

Hey there!

“ n/5 = 7 ”

Usually whenever you have a letter value in mathematics it’s understood as a(n) UNKNOWN value; people label them as a invisible 1

~ FIRST: you have to MULTIPLY both of your SIDES by 5

1n/5 • 5 = 7 • 5

~ CANCEL out; 1/5 • 5 because that gives you a 1
~KEEP: 7 • 5 because it gives the value of your “n”

New equation: n = 7 • 5

7 • 5 = 35

Answer: n = 35 ☑️

Regular division problem: 35/5 = 7 so this makes it true!

Random fact; math actually repeats a lot.. so it can become easier for you to understand or tackle problems like this on your own!

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

5+3w+3-w combine like terms to simplify

Answers

Answer:

8 + 2w

Step-by-step explanation:

Change all signs to addition (subtraction is the same as adding a negative):

5 + 3w + 3 + -w

Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:

5 + 3 + 3w + -w

Simplify:

8 + 2w

Answer: 8 + 2w

Hope this helps! :)

The answer would be 8 + 2w because your combining like terms. You would have to add 5+3 to get 8. And combine 3w-w to get 2w

PLS ANSWER I DO NOT HAVE A LOT OF TIME ANSWERING THIS IS THE ONLY WAY I CAN PASS


Write an Inequality and choose the correct graph of the solution. Graph by placing the correct inequality on the line.


The cost of renting a car is $25 per day plus a one-time fee of $75.50 for insurance. How many days can the car be


rented if the total cost is to be no more than $525?

Answers

Answer:

the second choice 25x+75.50<525

75.50 + 25x < 525

The car can be rented for 17 days.

On the line you will have a lone pointing to the left with an open circle on 17.

75.50 + 25x < 525

25x < 525 - 75.50

25x < 449.50

x < 449.50/25

x < 17.98

sum of ab, a+b and b+ab is

Answers

Step-by-step explanation:

ab+a+b+b+ab

=2ab+a+2b

=a+2b+2ab

We can only add the same term numbers together.

hope it helps!

given a point A is on a coordinate plane in quadrant I. if it is rotated 90° counter clockwise then reflecred across the y axis. What quadrant will point A be in​

Answers

Answer:

it would be -90⁰ because its clockwise its the opposite direction

A migrating bird flies 378 miles in 14 hours. How many miles does it fly in 3 ​hours?

Answers

Answer:

81 miles

Step-by-step explanation:

378/14=27

The unit rate is 27 miles per hour

27*3 = 81

Help pleasee due soon!! WIll give Brainliest

Answers

Answer:

9.7

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf x \approx 9.7}}[/tex]

Step-by-step explanation:

This is a right triangle, which we know because of the square in the corner of the triangle. We can use the right triangle trigonometric ratios.

[tex]sin( \theta) =opposite/hypotenuse[/tex]  and [tex]cos (\theta) = adjacent /hypotenuse[/tex] and [tex]tan (\theta)=opposite/adjacent[/tex]

First, identify each side of the triangle as adjacent, opposite, or hypotenuse, relative to the 68 degree angle.

The x is next to, or adjacent, to the angle. The 24 is opposite. We are not given the hypotenuse.

[tex]adjacent= x \\opposite= 24 \\hypotenuse= unknown[/tex]

Since we have the adjacent and opposite, we must use tangent.

[tex]tan (\theta)=\frac{opposite}{adjacent}[/tex]

Substitute the values in. The theta (θ) is the angle.

[tex]tan (68)=\frac{24} {x}[/tex]

Solve for x. One way is by cross multiplying.

[tex]\frac{tan(68)}{1}=\frac{24}{x}[/tex]

Multiply the 1st numerator by the 2nd denominator. Then, multiply the 1st denominator by the 2nd numerator.

[tex]tan (68)*x=1*24[/tex]

[tex]tan(68)*x=24[/tex]

Evaluate tan(68) using a calculator.

[tex]2.47508685*x=24[/tex]

Divide both sides of the equation by 2.47508685. This will isolate the variable x. ( We divide because multiplication is occurring between 2.47508685 and x, and division is the inverse of multiplication).

[tex]\frac{2.47508685*x}{2.47508685}=\frac{24}{2.47508685}[/tex]

[tex]x=\frac{24}{2.47508685}[/tex]

[tex]x=9.69662943[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round up. The 6 becomes a 7.

[tex]x \approx 9.7[/tex]

In this right triangle, x is equal to about 9.7

Please Help With all 3! Will Give 100 Points + Brainliest!

Answers

Answer: I don't see anything. Maybe upload some images?

Step-by-step explanation:

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