The elective courses for next year are gym, shop, art, consumer science, criminal justice, and computer science. Amber needs to choose 3 electives. How many ways can she choose her electives

Answers

Answer 1

Answer:

She can choose her electives in 20 ways.

Step-by-step explanation:

The order in which she chooses the courses is not important, which means that the combinations formula is used 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]

How many ways can she choose her electives?

3 electives from a set of 6. So

[tex]C_{6,3} = \frac{6!}{3!(6-3)!} = 20[/tex]

She can choose her electives in 20 ways.


Related Questions

What is the surface area of the solid that this net can form?
8 mm
25 mm
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
O 730 square millimeters
O 875 square millimeters
O 1,000 square millimeters
O 1,444 square millimeters

Answers

Answer:

730

Step-by-step explanation:

separate each rectangle

use the formula to calculate the area of each rectangle.

1st rectangle

area = length ×breadth

length =5, breadth =8+25+8=41

A1=5×41=205

2nd rectangle

A2=8×25=200

....

A3=5×25=125

A4=8×25=200

Add all As and you have your ans 730

What is the slope of a line perpendicular to the line containing the points (4,-7) and (-5,-1)? Express your answer as a common fraction.

40 POINTS!!!!!!

if not right i report

Answers

Answer:

3/2

Step-by-step explanation:

Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3

Slope 2 perpendicular to Slope 1 :

-1 ÷ -⅔ = 3/2

In the school chorus,
5/25 of the students are fourth-graders.
In simplest form, what fraction of the students in the school chorus are fourth graders?

Answers

Answer:

1/5 of the students are 4th graders

Please help!!
Will mark brainilest!!

Answers

Point of intersection is the solution of the system of equations.

Both of them intersect at point (-3,5)

So, (-3,5) is the solution of the system of equations.

OPTION B

Answer:

(-3,5)

Step-by-step explanation:

The solution to the system is where the two graphs intersect.  They intersect at two points

(-3,5) and (1,-3)

The only solution listed as a choice is (-3,5)

area of a trapezium.​

Answers

Answer:

Step-by-step explanation:

A= (a + b) * h/2

Answer:

what they said

Step-by-step explanation:

yeah what they said

Please help x – 6 ≥ –7?

Answers

Answer:

x ≥ -1

Step-by-step explanation:

just add 6 to both sides.

Answer:

Inequality Form: x≥−1

Step-by-step explanation:

What is the solution of the system of equations graphed below?

Answers

Answer: B

Step-by-step explanation: Look at where the lines intersect

The hypotenuse of a right triangle is 13 ft long. The longer leg is 7 ft longer than the shorter leg. Find the side lengths of the triangle.

Answers

Answer:

The shorter leg is five feet, the longer leg is 12 feet, and the hypotenuse is 13 feet.

Step-by-step explanation:

Let the shorter leg be x.

Since the longer leg is seven feet longer than the shorter leg, the length of the longer leg can be modeled by (x + 7).

Since the triangle is a right triangle, we can use the Pythagorean Theorem, given by:

[tex]a^2+b^2=c^2[/tex]

Where a and b are the side lengths and c is the hypotenuse.

The hypotenuse is 13 and the legs are x and (x + 7). Substitute:

[tex](x)^2+(x+7)^2=(13)^2[/tex]

Square:

[tex]x^2+x^2+14x+49=169[/tex]

Simplify:

[tex]2x^2+14x-120=0[/tex]

We can divide both sides by two:

[tex]x^2+7x-60=0[/tex]

Factor:

[tex](x-5)(x+12)=0[/tex]

Zero Product Property:

[tex]x-5=0\text{ or }x+12=0[/tex]

Solve for each case:

[tex]x=5\text{ or } x=-12[/tex]

Since lengths cannot be negative, we can ignore the negative answer. So, our only solution is:

[tex]x=5[/tex]

The shorter leg is five feet, the longer leg will be (5 + 7) or 12 feet. And the hypotenuse is 13 feet as given.

The perimeter of triangle ABC is 56 cmThe length of AB is С 4x - 4 degrees; 2x + 6 degrees; 70 degrees B A A 16 B of these 18 cm D 5 E 20 cm

Answers

Answer:

Step-by-step explanation:

find the value of x. round to the nearest tenth. 9,4, x

Answers

Answer:

Not sure what you mean here, is this a table? If so, you need to provide the y value or a screenshot!

Answer:

24.6° (nearest tenth) .

Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.

Answers

Answer:

area of polygon : 120in²

The area of the polygon is 120in^2

4. What is the product of (3x - 1)(x + 4)?
HELP PLEASE RIGHT NOT SHOW YOURE WORK!!!!!

Answers

[tex]3 {x}^{2} + 11x - 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](3x - 1)(x + 4) \\ \\ = 3x(x + 4) - 1(x + 4) \\ \\ = 3 {x}^{2} + 12x - x - 4 \\ \\ = 3 {x}^{2} + 11x - 4[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

HELP!!! PLEASE!!!!!!!!!!

Answers

Sorry but I see that you can use the “interactive protractor” and see how many degrees the angle is. But all I can tell you is that it’s an acute angle
Hi! You have to put the protractor on the middle dot to figure it out. I can’t figure it out because of that. Good luck!

Which of the following is an example of a conditional statement?

Answers

Answer:

The correct answer is A, If I practice football, then I will improve.

Which explicit formula is equivalent to a1 = 1, an=
4an-1?
A. an = 1(4)^n-1
B. an = 4(4)^n-1
C. an = 4(1)^n–1
D. an = 1 + (n - 1)4

Answers

Answer:

A. an = 1(4)^n-1

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio, and the sequence is given by:

[tex]a_n = a_1(q)^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term and q is the common ratio.

We are given the following sequence:

[tex]a_1 = 1[/tex]

[tex]a_n = 4a_{n-1}[/tex]

So

[tex]a_2 = 4a_1 = 4[/tex]

[tex]a_3 = 4a_2 = 16[/tex]

[tex]a_4 = 4a_3 = 64[/tex]

That is, the quotient between consecutive terms is 4, so [tex]q = 4[/tex].

The first term is already given, [tex]a_1 = 1[/tex]. So

[tex]a_n = a_1(q)^{n-1}[/tex]

[tex]a_n = 1(4)^{n-1}[/tex]

And thus, the correct answer is given by option A.

In 2003, 520,000 acres of farmland in a region were devoted to growing nuts. By 2012 ,the number of acres used to grow nuts had increased 820,000.Find the average rate of change in the number of acres in a region used to grow nuts from 2003 to 2012.

Answers

Answer:

Average rate of change = 33,333.33acre per year

Step-by-step explanation:

Given:

Farm land in 2003 = 520,000 acre

Farm land in 2012 = 820,000 acre

Find:

Average rate of change

Computation;

Number of year = 2012 - 2003

Number of year = 9 year

Average rate of change = [Farm land in 2012 - Farm land in 2003] / Number of year

Average rate of change = [820,000 - 520,000] / 9

Average rate of change = [300,000] / 9

Average rate of change = 33,333.33acre per year

Adriana sold 50 shares of a company’s stock through a broker. The price per share on that day was $22.98. The broker charged her a 0.75% commission. What was Adriana’s real return after deducting the broker’s commission?

A.
$8.62
B.
$229.80
C.
$1,140.38
D.
$1,149.00

Answers

Answer:
C $1,140.38
Step-by-step explanation:
We are given that Adriana sold 50 shares and that the price per share was $22.98
This means that:
Total value = 50 * 22.98 = $1149
Now, we know that the broker charged 0.75% commission on the total value
This means that:
Broker's charge = 0.75% * 1149 = 0.0075 * 1149 = $8.6175
Therefore,
Adriana's return = Total value - broker's charge
Adriana's return = 1149 – 8.6175 = $1,140.38

How does a pedometer help people reach their fitness goals?
A.
It measures calories burned throughout the day
B.
It usually doubles as an MP3 player and keeps people motivated.
C.
They help people reach their goals by counting the number of steps taken.
D.
They measure the number of lifts done during each exercise performed.

Answers

Answer:

C

Step-by-step explanation:  

 pedometers are devices that count the steps you take throughout the day. Seeing your daily step count can give you an idea of how active you are in a given day and give motivating feedback to help you achieve a daily step goal.

Answer:c i just took the test

Step-by-step explanation:

37% of what number is 72?

Answers

The answer is 194.59

(72 x 100) / 37 = 194.59

Answer:

26.64

Step-by-step explanation:

37% of x = 72

0.37x = 72

isolate x

x = 72*0.37

x = 26.64

What is the greatest common
factor of the expression?
2x^2y^3+4x^2y^5

Answers

Answer:

[tex]2x^2y^3[/tex]

Step-by-step explanation:

The given expression is :

[tex]2x^2y^3+4x^2y^5[/tex]

We need to find the greatest common  factor of the expression.

The first term is [tex]2x^2y^3[/tex]

The other term is [tex]4x^2y^5[/tex]

[tex]2x^2y^3[/tex] is common in both terms. So,

[tex]2x^2y^3(1+2y^2)[/tex]

Hence, the greatest common factor of the expression is equal to [tex]2x^2y^3[/tex].

i need help! plz (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

4

Step-by-step explanation:

these are two similar triangles, so to solve for x, we create two similar ratios!

x/2 = 7/3.5

cross multiply.

14=3.5x

divide 14 by 3.5

x=4

A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.

This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.

What is ???

Answers

Answer:

37.71 hours

Step-by-step explanation:

Saphire

1garden/88hours

Varsha

1garden/ 66 hours

Together

1/88 + 1/66 = x

use 264 as common denominator

3/264 + 4/264 = 7/264

Together they can do 7 gardens in 264 hours

264/7 = 37.71 hours for 1 garden

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

Sometimes Brainly double types numbers

If you meant 6 hours and 8 hours

1/6 + 1/8 = x

4/24 + 3/24 = 7/24

24/7 = 3.43 hours

Find the 8th term of the geometric sequence 7, 28. 112, ... HELP PLSSSS

Answers

114,688
the sequence was multiplying by 4 each time so all u needed to do was multiply each answer by four starting from 7x4
7×4 = 28
28×4 = 112
112×4 = 448
448×4 = 1 792
1792×4 = 7168
7168×4 = 28,672
28,672×4 =114,688

Becoming a member at fitness club costs ​$50 plus a monthly fee of ​$25. Using the​ graph, estimate how many months a person has been a member if he has paid a total of ​$250.

Answers

Answer:

0.3

Step-by-step explanation:

Based on the family the graph below belongs to, which equation could represent the graph?

Answers

where is the graph????

Step-by-step explanation:

please help i suck at math and i really need help i do anything just help


Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.


1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.

b) The number of coasters with a logo bought and the price of the coasters.

c) Is either coaster relationship proportional? Explain in writing how you know.

d) Explain what the unit rate of the line described by each equation means in the context of the coasters.

2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.

Answers

Answer:

a

Step-by-step explanation:

PLEASE ANSWER!! Find EF using Pythagorean theorem. Express answer to one decimal place.

Answers

Answer:

115.5 cm

Step-by-step explanation:

A^2 + B^2 = C^2

41^2 + 108^2 = C^2

C^2 = 13345

C = 115.5 cm


Can someone please help me with this problem?

Answers

Answer:

C 6

Step-by-step explanation:

Pythagoras

c² = a² + b²

117 = x² + (x+3)² = x² + x² + 6x + 9 = 2x² + 6x + 9

=>

108 = 2x² + 6x

54 = x² + 3x

0 = x² + 3x - 54 = (x-6)(x+9)

just think by what numbers can we divide 54 without any remainder (so that when multiplying we get 54) ? and which pair of these have a difference of 3 (so that with +/- combination we get "3x" in the multiplication)?

the solutions for x are the 2 numbers that would make one of the bracket expressions 0, as this turns the whole expression to 0.

x = 6 and x = -9

a negative number does not make any sense for a side length.

so, the only possible solution is x = 6

Which of the following points lies on the graph of the function y = 3 Superscript x?
a. (1, 0)
c. (3, 1)
b. (2, 9)
d. (0, 3)



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

(2,9)

Step-by-step explanation:

I am assuming that you mean: [tex]y= 3^x[/tex]

I have graphed the function given along the points given. When they are graphed, only the point (2,9) lie on the line.

This means that Option B is the correct answer.

See graph below.

Hope this helps.

Please help asap!!! Will give brainleist for the right answer

Answers

Answer:

I think the answer is 1,032 pounds

Step-by-step explanation:

You would have to multiply the dimensions of the table first:

8*3*1=24.

Then you would multiply that by 43.

24*43=1,032.

I THINK this is the answer.

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