Marvin is making his class schedule for next year. How many different class schedules are possible if he must have 6 classes and he has 14 classes to choose from?

A 2,162,160
B 121,080,960
C 3003
D 720
E None of the above

Answer:

Step-by-step explanation:

The salesperson will have a commission of $262.5 and earn $612.5 in one week if he sold $750 worth of merchandise.

We first calculate the 35% commission on the $750 sales of merchandise, and then add the result to his weekly earning of $350.

35% commission on $750 = (35 × $750)/100

35% commission on $750 = $2625/100

35% commission on $750 = $262.5

salesman's earning for the week = $350 + $262.5

salesman's earning for the week = $612.5

In conclusion, the salesman will earn $612.5 if he sold $750 worth of merchandise in one week, which is the sum of his $350 per week earning and the 35% commission.

Know more about commission here: https://brainly.com/question/26283663

#SPJ1

Answer:

-27

Step-by-step explanation:

order of operations 2÷2 = 1 +53 =54

3x1 = 3 -5 = -2

54÷-2 = -27

Answer:

-14

Step-by-step explanation:

Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

This is an interesting question, since I have to think I have ever seen a question like this asked before.

    3x³ - 5x + k   i'll try dividing by x-2  and adjust k so there is no remainder

                           3x² + 6x + 7

       x-2   |  3x³ + 0x² - 5x + k

                 3x³ - 6x

                          6x² -  5x

                          6x² - 12x

                                   7x  + k

                                   7x  - 14

                                            0    remainder is 0 if k = - 14

when I graphed   3x³ - 5x -14   and   (x-2)(3x² +6x +7)  the graphs were equivalent

Answer: Rosie biked 9.6 miles per week because you do 2 2/5 times 4. 2 2/5 becomes 12/5 and you just times it by 4.

Hope it helps! :D

Answer:

answer is 18

Step-by-step explanation:

.................

Answer:

11

Step-by-step explanation:

It may not be correct

Answer:

t = 28 minutes

Step-by-step explanation:

Last Saturday, Camila practiced her dance routines for her upcoming competition. She spent some time practicing her tap routine, and then she spent 17 minutes practicing her hip-hop routine. In all, she practiced for 45 minutes. Let t be the number of minutes that Camila practiced her tap routine. Write and solve an equation to find t.

45 minutes = Number of minutes for hip-hop routine + Number of minutes for tap dance

The equation is given as

45 = 17 + t

Solving for t

t = 45 - 17

t = 28 minutes

Shes spent 28 minutes tap dancing

Step-by-step explanation:

[tex]\sqrt{1/8}[/tex]=[tex]\sqrt{1} /\sqrt{8}[/tex]

[tex]\sqrt{8} =2\sqrt{2}[/tex]

[tex]1/(2\sqrt{2} )[/tex]

if the denominator is a root then multiply itself by itself to get an integer

[tex]1(2\sqrt{2} )/((2\sqrt{2})(2\sqrt{2} ))[/tex]

[tex]\sqrt{2} /4[/tex]

Hope that helps :)

Answer:

hello :  

(g/f)(3) = g(3)/f(3)

but : g(3) =3(3)+2 = 11

f(3) 2(3)-4 = 2

g/f)(3) = 11/2

Answer:

4/8

Step-by-step explanation:

7/8 - 3/8 - 4/8

4/8 + 3/8 = 7/8

n = 4/8

hope this helps

Answer:

25920

Step-by-step explanation:

you do lxwxh

Step-by-step explanation:

...x=+2...

...y=-3...

Answer:

C) 12.56

two times 3.14 times the radius.

Answer:

5 miles

Step-by-step explanation:

10 miles in 2 hours

so the half in 1 hour; 5 miles

Answer:

For both charts:

Top boxes: -12

Middle Boxes: -9

Bottom Boxes: -6

The equation is given by A = 3 ( x - 5 ) and B = 3x - 15 and they are equivalent

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

A = 3 ( x - 5 )  be equation (1)

Now , let the second equation be represented as B

Now , the value of B is

B = 3x - 15   be equation (2)

Now , on simplifying the equation (1) , we get

Substituting the value of x = 1 , 2 , 3 in equation (1) , we get

when x = 1

A = 3 ( 1 - 5 )

A = 3 ( -4 ) = -12

when x = 2

A = 3 ( 2 - 5 )

A = 3 ( -3 ) = -9

when x = 3

A = 3 ( 3 - 5 )

A = 3 ( -2 ) = -6

Now , on simplifying the equation (1) , we get

Substituting the value of x = 1 , 2 , 3 in equation (1) , we get

when x = 1

A = 3 ( 1 ) - 15

A = 3 - 15 = -12

when x = 2

A = 3 ( 2 ) - 15

A = 6 - 15 = -9

when x = 3

A = 3 ( 3 ) - 15  

A = 9 - 15 = -6

So , the values of the expressions are the same

Now , applying the distributive property on equation (1) , we get

A = 3 ( x - 5 )

A = 3x - 3 ( 5 )

A = 3x - 15 = B

Hence , the equations are equivalent

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

79.7

Step-by-step explanation:

average = 20x75=1440

wrong average68+86=154

correct average 1440+154/20=79.7

hope this is correct.

Answer:

Step-by-step explanation:

This is a cube so the formula for the volume of a square is a³ = Volume

This means:

5³ = V

V = 125in³

Answer:

125 in^3

Step-by-step explanation:

b/c

v=L×w×h

V=5 in×5 in×5 in

v=125 in^3

Answer:

sqrt(26) units

Step-by-step explanation:

Use the formula d=sqrt((x2-x1)^2 + (y2-y1)^2). d is the distance, and (x1, y1) and (x2, y2) are the points.

d=sqrt((4-(-1))^2 + (2-3)^2)

 =sqrt(5^2 + (-1)^2)

 =sqrt(25+1)

 =sqrt(26)

Answer:

4 maybe

Step-by-step explanation:

If you do x2 +13x+ 36

you get

(x+9)x(x+4)

Answer:

6z

Step-by-step explanation:

The perimeter of the rectangle is given by the algebraic expression: 4z + 6

The formula for the perimeter of a rectangle is expressed as:

P = 2(L + W)

Where:

W is width

L is length

We are given the following parameters as:

Length = z + 3

Width = z

Thus:

P = 2(z + z + 3)

P = 2(2z + 3)

P = 4z + 6

Read more about Perimeter of a rectangle at: https://brainly.com/question/24571594

#SPJ2

Answer:

-10.50*3

=-31.5

answer:

C.49.5sq. units

explanation:

Sana makatulong

Answer:

there are 20 boys and 12 girls

Answer:

Step 1:

What are the key aspects of any parabola? What do the key aspects tell you about the graph?

(5 points)

        0=a(4-24)^2+50

       -50=a(4-24)^2

        4-24

       -20^2=400

        -50=a(400)

       -50=400a

         -50/400=-0.125

         a = -0.125

B.) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)

The roots and vertex, you can find the vertex by using vertex form y=a(x-h)^2+k. You find the roots by solving the quadratic equation.

Step 2: Solve for coefficient a.

a.) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)

                                               f(x) = a(x-h)^2 +k

b.) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)

Not sure about this one...?

c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

f(x)=-12/25(x-25)^2+32

The equation of Daredevil Danny's jump in vertex form is y = -0.32(x - 25)^2 + 32

The graph that completes the question is added as an attachment

These are the vertex and the intercepts of the graph.

The intercepts tell us about when the time of flight and the time of landing, while the vertex tell about the maximum height of Danny's jump.

From the graph, we have:

A quadratic function is represented as:

y = a(x - h)^2 + k

Where:

vertex = (h,k)

So, we have:

y = a(x - 25)^2 + 32

Substitute the value of the x-intercept

0 = a(15 - 25)^2 + 32

Subtract 32 from both sides

a(15 - 25)^2 = -32

Solve for a

a = -0.32

Hence, the value of the coefficient a is -0.32

So, the equation in vertex form is y = -0.32(x - 25)^2 + 32

Read more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ6

Answer:

D)  3x²y

Step-by-step explanation:

Answer:

ohh ok fast answer

its option 3

Answer:

d = 0.4

Step-by-step explanation:

3/2 + 1/2 = 5d - 1/2 + 1/2

2 = 5d

2 ÷ 5 = 5d ÷ 5

0.4 = d

d = 0.4

Answer:

10

Step-by-step explanation:

2 [32 - (4 - 1)³]

2[32 - (3)³]

2[32 - 27]

2[5]

10

Answer : 10

Step - by - step explanation :

First, solve from in to out . . .

2 [ 32 - ( 4 - 1 )³ ] =

2 [ 32 - ( 3 )³ ] =

2 [ 32 - 27 ] =

2 [ 5 ] =

10

( sorry if i'm wrong )

Answer:

2 quarts apple juice and 8 cups cranberry juice

9 cups apple juice and 3 pints cranberry juice

Step-by-step explanation:

We can easily obtain the answer by converting all the volumes to the same unit and comparing each of them, to see if they can make up to a gallon.

1). 6 pints apple juice and 6 cups cranberry juice

Let us convert pints and cups to gallons

1 pint = 0.125 gallons

6 pints = 6 X 0.125 = 0.75 gallons

1 cup = 0.0625 gallons

6 cups = 6 X 0.0625 =0.375 gallons

Total juice got from here is 0.75 +0.375 = 1.125gallons.

This cannot fit into the one-gallon pitcher as it is more in volume than a gallon.

2) 2 quarts apple juice and 8 cups cranberry juice.

2 quarts = 0.5 gallons

8 cups = 0.5 gallons.

Total juice got here is 0.5 + 0.5 = 1 gallon.

This can fit into the 1-gallon pitcher

3). 5 pints of apple juice and 2 quarts of cranberry juice

5 pint = 0.625 gallons

2 quarts = 0.5 gallons

Total juice got here is 0.625+ 0.5 = 1.125 gallon

This cannot fit into the 1-gallon pitcher

4). 9 cups of apple juice and 3 pints of cranberry juice

9 cups = 0.5625 gallons.

3 pints = 0.375 gallons

Total juice got here is 0.5625 + 0.375 = 0.9375 gallons.

This can fit into the 1-gallon pitcher because it is of less volume.

Hence, only these combination of drinks can fit into the 1-gallon pitcher:

2 quarts apple juice and 8 cups cranberry juice

9 cups apple juice and 3 pints cranberry juice