A student was selected as a captain of a cooking team in a consumer and family studies class. The student could pick 2 of 5 girls and 3 of 7 boys to be on their team. What is the total number of different teams that this captain could select?

Answers

Answer 1

Answer:

This captain could select 350 different teams.

Step-by-step explanation:

The order in which the girls and the boys are picked is not important. For example, picking Daniela and Laura is the same as picking Laura and Daniela. So we use the combinations formula to solve this question.

Combinations Formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

Girls:

2 from a set of 5. So

[tex]C_{5,2} = \frac{5!}{2!(5-2)!} = 10[/tex]

Boys:

3 from a set of 7. So

[tex]C_{7,3} = \frac{7!}{3!(7-3)!} = 35[/tex]

Total:

[tex]10*35 = 350[/tex]

This captain could select 350 different teams.


Related Questions

If f(x) = –2x2 + 6, find the value of f(-3).

Answers

Answer: 12x−18

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

1 point
4. 11 students participated in a jog-a-thon and raised different
amounts of money. This data was used to make the box plot
below. What is the median of this data?
90 95 100 105 110 115 120 125 130
Money Raised by Students in the Jog-a-Thon

Answers

Answer:

Not cool

Step-by-step explanation:

the total cost of a $112.75 meal with a 20% tip​

Answers

135.30 dollars is the total cost

Solve the system of linear equations by elimination x−2y=−7 3x+2y=3

Answers

Answer: (-1,3)
Explanation: Substitute 3 for y x=2x -7

x=(2)(3)-7

The solution of this system of linear equations is (3,13)

What is the solution to a linear equation?

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here:  x−2y=−7 & 3x+2y=3

Thus solving these two equations we get -8y=-24 or y=3

Therefore x=13

Hence, The solution of this system of linear equations is (3,13)

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At Ole's Waffle Shop there are 81 dirty coffee mugs and 9 clean coffee mugs. What percentage of the coffee mugs at the waffle shop are dirty?

answers:
50%
10%
90%
100%

Answers

90 percent of the mugs are dirty

What is the value of X

Answers

Answer:

the answer is 70.

Step-by-step explanation:

Since x and 80 are non-adjacent co-interior angles with respect to ( 2x +10 )

So,

x + 80 = 2x + 10 ( sum of two non-adjacent co-interior angles is equal to the exterior angle of that triangle )

=> 80 - 10 = 2x - x *( switching sides of x and 10 )

=> 70 = x

So, the value of x is 70

x + 80 = 2x + 10 (exterior angle property)

2x -x = 80 -10

x = 70

I really need help
If AD = 12 and AC = 4y-36, find the value of y

Answers

Answer:

y=12

Step-by-step explanation:

in that case, then 12 = 4y -36

12 =4y -36

12+36=4y

48=4y

48/4=y

12=y

answer :y=12

Answer:

y = 15

Step-by-step explanation:

Consider that the attached screenshot is the figure given in the problem. Also consider that DC = 12, due to the fact that AD = 12, and there is a midpoint at point D.

AD + DC = AC

12 + 12 = 4y - 36

24 = 4y - 36

+ 36      + 36

60 = 4y

60/4 = 4y/4

y = 15

Which statement is true?

Answers

Answer:

Step-by-step explanatmkjion:

The Correct statements is [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].

To determine which statement is true, let's evaluate each statement one by one:

[tex]\sqrt[m]{x} * \sqrt[m]{y} = 2\sqrt[m]{xy}[/tex]

This statement is false. The correct product of two nth roots ([tex]\sqrt[m]{x}[/tex] and [tex]\sqrt[m]{y}[/tex]) is [tex]\sqrt[m]{x*y}[/tex], not 2[tex]\sqrt[m]{x*y}[/tex].

[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].

This statement is true. When raising an nth root to a power, you can simply multiply the exponents. So, [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]..

[tex]a \sqrt[n]{x}+ b \sqrt[n]{x} = ab \sqrt[n]{x}[/tex]

This statement is false. The correct result of adding two nth roots is not the product of the coefficients. It's simply (a + b) [tex]\sqrt[n]{x}[/tex].

[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{xy}[/tex]

This statement is false. The correct division of two nth roots ([tex]\sqrt[m]{x}[/tex] divided by [tex]\sqrt[m]{y}[/tex]) is not equal to the product of the roots. The correct division is:

[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{x/y}[/tex]

So, [tex]\sqrt[m]{x} /\sqrt[m]{y}[/tex] is equal to [tex]\sqrt[m]{x/y}[/tex], not [tex]\sqrt[m]{xy}[/tex].

Correct statements:

[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]

To know more about coefficients:

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6. If LMNO is a parallelogram, and LM =2y - 9 and NO = y-2, find the
value of 'y'.
y =

Answers

9514 1404 393

Answer:

  y = 7

Step-by-step explanation:

Opposite sides are the same length:

  LM = NO

  2y -9 = y -2

  y = 7 . . . . . . . add 9-y to both sides

[(15x5+28)+8]=
Is the answer 81
101 or 111

Answers

Answer:

111

Step-by-step explanation:

the answer is 111

111, that’s the answer 111

Dylan is comparing prices of yarn for a project. The prices and quantities from four stores are shown.
Store 1
Store 2
Store 3
Store 4
2 yards
10 feet
$2.50
12 feet
$3.40
5 yards
$4.00
$1.85
From which store should Dylan make his purchase if he wants to get the best price per unit?
A. Store 1
B. Store 2
C. Store 3
D. Store 4

Answers

Answer:

Store 3

Step-by-step explanation:

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Store 3
Wwwwwwwwwwwwwwwwwwwwweee

Please help, I will give brainliest in return.

Answers

Answer:

C

Step-by-step explanation:

Wolid like

(7i²– 5i + 12) – (3i²+ 6i– 9)

simplify ​

Answers

Answer:

the correct answer is

4i^2 +6i +21

Please help ASAP 25 pts + brainliest. please show work

Answers

Answer:

it's answer is C. .80

Step-by-step explanation:

With reference angle A

base (b) = 8

Hypotenuse (h) = 10

Now

Cosine A

= b / h

= 8 / 10

= 0.8

It is A as the answer

Step-by-step explanation:

1.multiply 8×10

2.multiply 80 ×6

3.the answer will be over 100 so it has to be A

How long would it take to travel 315 mi at the rate of 45 mi/h?

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

s=vt

t=s/v=315/45=7hours

I’m timed please help

Answers

Answer: the first one is correct
B D E that’s the answer

I really need help ASAP

Answers

I wanna say it’s C because -4+4 does equal zero. But the directions aren’t to clear. But that would be my answer.

HELP!!!!!!

what is the slope of (-2,-4) and (2,0)

Answers

The slope is 1.........

Solve the system of equations -x+y=15−x+y=15 and -5x-3y=27−5x−3y=27 by combining the equations

Answers

Answer:

Solution: x= -36, y=51

Step-by-step explanation:

Solve the system:

  x +   y = 15

-5x - 3y = 27

By using the reduction method.

Multiply the first equation by 3:

 3x + 3y = 45

Add it to the second equation:

3x - 5x = 45 + 27

Simplifying:

-2x = 72

Dividing by -2:

x = 72/(-2)

x = -36

From the first equation:

-36 + y = 15

Adding 36:

y = 15 + 36 = 51

y = 51

Solution: x= -36, y=51

3.1.PS-20
Question Help
A forest covers 32,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many
acres of old-growth trees are there?
There are acres of old-growth trees.
PLEASE HELP

Answers

Answer:

128.

Step-by-step explanation:

The equation we need is going to be 32,000 multiplied by 0.04% written as a decimal.

Since 0.04% written as a decimal is 0.004, the equation will be:

32000*0.004= ?

32000*0.004= 128.

I hope this helps!

Which equation has 2 solutions?

Answers

Answer:Umm you can do ratios if you learned it or you can times it

Step-by-step explanation:

Hope this helps

3. Find the perimeter of the diagram. Round to the nearest
hundredth.

Answers

the answer is 16.77

fdmlksafndslakgfnlksdaajglsdanlkfsdalkfsad

iris has $240 in the bank and she withdraws $25 every week. An equation for this relation is C = 240 - 25w, where c represents the amount of money , in dollars, in iris' account and w represents the number of weeks. How much does iris have in her account after 4 weeks

Answers

Answer:

140

Step-by-step explanation:

25 x4=100 subtract to the total which is 240 and get 140

Answer:

140

Step-by-step explanation:

Plug 4 into w, so it's C = 240 - 25(4) -> 240 -100 -> C = 140

Solve the problem 11/15 + 1/3 using the four square model.

Answers

Answer:

A.

Step-by-step explanation:

Study this incomplete image of a geometric construction. This image may result from the construction of ____

A. a line parallel to line AB through C.
B. a perpendicular to line AB.

The next step in this construction is to set the compass width to

A. line segment DC and draw an arc centered at D intersecting the second arc.
B. line segment KC and draw an arc centered at K intersecting the second arc.
C. arc IJ and draw an arc centered at K intersecting the second arc.
D. line segment CI and draw an arc centered at I intersecting the second arc.

Thank you.

Answers

Answer:

A line parallel to line AB through C & arc IJ and draw an arc centered at K intersecting the second arc

Step-by-step explanation:

This image may result from the construction of a line parallel to line AB through C.

The next step in this construction is to set the compass width to arc IJ and draw an arc centered at K intersecting the second arc.

What is Construction?

Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this.

Given:

From the image we can see that there is an attempt to make a copy of angle and proceeds to draw a parallel line.

So, This image may result from the construction of a line parallel to line AB through C.

Now, the next step can be measure the arc IJ from compass and put the pointer on K with same measurement and cut the Arc.

Learn more about construction here:

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What is the coefficient of the term 7y in the expression 9 + 7y

Answers

Answer:

7 is the coefficient of 7y

Step-by-step explanation:

explanation in the text book pls refer TB

Answer:

7

Step-by-step explanation:

Sience the 7 is the number multiplied by the variable y, 7 is the coefficient.

7 is the coefficient

I need more of y’all’s wisdom.

Answers

Answer:

13

Step-by-step explanation:

divide 4x by 4 making it x divide 52 by 4 making it

x=13

Answer:

13

Step-by-step explanation:

can you please help me please ​

Answers

Answer:

(4 , -3)

Step-by-step explanation:

Put "y" by itself on one side to isolate it

3x - y = 15

3x = 15 + y

3x - 15 = y

Substitute "y" in the second equation for "3x - 15"

x + (3x - 15) = 1

4x - 15 = 1

4x = 16

x = 4

Then, plug 4 into x in any of the equations

4 + y = 1

y = -3

(4 , -3)

Two pounds of grapes cost $6. What is the price of 1 pound of grapes?

Answers

Answer:

$3

Step-by-step explanation:

You divide 6 by 2

23) Find the area of the semi-circle. 18 in​

Answers

Answer: 127.23 in. ^2

Step-by-step explanation: if the radious is 9 with is half of 18in that area of a whole cicle would be 254.47in. so just divide by 2

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