does anyone know the answer? i’m taking a benchmark and i have 30 minutes left

Answer:

28,828,800

Step-by-step explanation:

There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.

∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.

So,  The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,

= [tex]^{14}C_5\times^{9}C_7[/tex] ways.

= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.

= 14×13×12×11×10/120 × 9×8/2 ways.

= 2002× 36 ways.

= 72,072.

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Answer:

Check description

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

Answer: 0.125

Step-by-step explanation:

Answer:

0.125

1/8

= 0.125

= 12.5%

Answer:

18

Step-by-step explanation:

w varies directly with z, let k be the constant of proportionality, hence this can be represented by the equation:

w = kz

When z = 4, w = 12, hence we need to find the value of the constant of proportionality, substituting:

12 = 4k

Dividing both sides by 4:

12/4 = 4k/4

k = 3

Therefore the equation becomes:

w = 3z

The value of w when z = 6 is given as:

w = 3(6)

w = 18

Answer:

68%

Step-by-step explanation:

Answer:

Sally's soccer team won 68% of the games they played.

Since we are solving for b, you need to get it by itself. So you would divide both sides by 3a. That would leave b= -7/3a.

Hope this helps!!

Answer:

x 1.12

Step-by-step explanation:

Total meal plus 12% tip in one step.

12% as a fraction is .12

Multiply the cost of the meal by 1.12 To get the total cost including tip.

x 1.12

Answer: C = 30 - 3t

Step-by-step explanation: he starts with 30 therefore having 30 on day 0 and he eats 3 daily so day 1 would be 27 day 2 24 and so on

Answer:

1>2x

Step-by-step explanation:

1>2x

1/2= one half

2x/2= x

one half>x

Answer:

hi Krystal , I am Felicia

To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?

5x +2 = 5x + 5 (subtract 5x and 2 on both sides)

0 = 3 No solution

How could you change the equation so it has infinitely many solutions?

Have 2 or 5 change because they need to be equal to each other. Its fine what you put as long as the equal sign is the same as the other side like 3 = 3 for example or 5 = 5, something like that. Once they have the same end then you can substitute the number to x.

What would infinitely many solutions mean in terms of the situation?

x represents the number of tiles they used

Answer:1

Step-by-step explanation:

I found the factors and prime factorization of 38 and 49. The biggest common factor number is the GCF number. So the greatest common factor 38 and 49 is 1

Answer: The greatest common factor is 1

Step-by-step explanation:

49 is not even like 38 so the only one they have together in 1.

Answer:

15/16

Ste

Step-by-step explanation:

Keep, Change, Flip.

(1) Keep the first fraction, 3/8.

(2) Change the sign from a division sign to a multiplication sign.

(3) Flip the last fraction, 2/5 --> 5/2.

(4) Multiply across.

3/8 x 5/2= 15/16

The 3/8 divided by 2/5 is equal to 15/16.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

To divide 3/8 by 2/5:

(3/8) ÷ (2/5) = (3/8) × (5/2)

Now, let's multiply the numerators and denominators:

(3 × 5) / (8 × 2) = 15/16

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Answer:

it is 480 yards!

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

Answer:

the answer on plato is x^2+3=500

Step-by-step explanation:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Answer:

1) B

2) A

Step-by-step explanation:

B because we use pemdes and for 2 they answers are both equivalent

Answer:

1) B. Add/subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

To answer Part B, we have to answer to equation.

Step 1- Add x to both sides of the equation.

4x+2= 6-x

+x         +x

5x+2= 6

Step 2- Subtract 2 to both sides of the equation.

5x+2= 6

   -2   -2

5x= 4

Step 3- Divide 5 to both sides of the equation.

5x= 4

5    5

This gives us 4/5 or 0.80.

So, the answer is yes to Part B.

Hope this helps!

Answer:

17,19,21

Step-by-step explanation:

Let x be the smallest integer

x+x+2+x+4=57

3x+6=57

3x=57-6

3x=51

x=51/3

x=17

17,19,21

Answer:

Step-by-step explanation:

Substitute the given value into the function and evaluate.

5 ⋅ 10 ^2 = 500

5 ⋅ 10^ − 2 = 0.05

Hope This Helps!

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It Helps A lot! ;)

Answer:

08:30 am

Step-by-step explanation:

30 * 1 =30            24 * 1 = 24

30* 2 = 60           24 * 2 = 48

30 * 3 = 90          24 * 3 = 72

30 * 4 = 120         24 * 4 = 96

                            24 * 5 = 120

The lowest common multiple ist 120.

06:30 am + 120 min = 08:30 am

Step-by-step explanation:

Let's solve your equation step-by-step.

−5(x+7)=−5x+35

Step 1: Simplify both sides of the equation.

−5(x+7)=−5x+35

(−5)(x)+(−5)(7)=−5x+35(Distribute)

−5x+−35=−5x+35

−5x−35=−5x+35

Step 2: Add 5x to both sides.

−5x−35+5x=−5x+35+5x

−35=35

Step 3: Add 35 to both sides.

−35+35=35+35

0=70

Answer:

There are no solutions.

Answer:

x= no solution

Step-by-step explanation:

-5(x+7)=-5x+35

-5x-35=-5x+35

+5x       +5x

-35= 35

+35 +35

0=70

x=no solution

When x doesn't equal anything, and 0 doesn't equal 0, there is no solution to make the equation true. When 0=0, x can equal any value.

Answer:

B.

Step-by-step explanation:

3(4x-2)-30=-6(6-2x)-20

12x-6-30=-36+12x-20

12x-36=12x-56

Answer:

 s=5 1/4

Step-by-step explanation:

Have a wonderful day

Answer:

one solution because you combine like terms and your answer is p=4

Answer:

-1/4x + 1 ( If this is wrong then ignore this)

Step-by-step explanation:

The formula for a problem like this is y - y1 = m(x - x1). The x coordinate, -8 is the x1 and the y coordinate 3 is x1. So the equation is y - 3 = -1/4(x + 8)

Equation:

y - 3 = -1/4(x + 8)

y - 3= -1/4x - 2

y = -1/4x + 1

Therefore the equation for the line is y = -1/4x + 1

Given parameters:

 Slope of the line  = [tex]-\frac{1}{4}[/tex]

 Coordinates of the points = (-8, 3)

Unknown:

Equation of the line = ?

Solution:

To find the equation of the line, we must note that any straight line can be represented by the equation;

        y  = mx + c

 where x and y are the coordinates

             m is the slope

              c is the y-intercept of the line

Input the parameters and solve for c;

     x = -8 and y  = 3;

         3  = [tex]-\frac{1}{4}[/tex] x (-8) + c

         3 = 2 + c

        c  = 1;

  So the equation of the line is ;

     y  = [tex]-\frac{1}{4}[/tex]x + 1

     multiply through by 4;

   4y = -x + 4

The equation of the line is 4y = -x + 4

Answer:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=7500\hspace{35px}r=0.015\hspace{35px}t=8

P=7500r=0.015t=8

Given values

A=7500e^{0.015(8)}

A=7500e

0.015(8)

Plug in

A=7500e^{0.12}

A=7500e

0.12

Multiply

A=8456.22638685

A=8456.22638685

Use calculator (with e button)

A\approx 8500

A≈8500

Round to nearest hundred dollars

Step-by-step explanation:

The amount of money to the nearest hundred dollars that would be in the account after 8 years is  $60,900.

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

7500 x e^0.015 x 8 = $60,900

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I think thats 2

Because 2+2=4