14. Mrs. Buchanan is planning marching routines for the school band. The band has 36 members. Band members can march in any number of rows as long as each row has the same number of members. The marching path, however, limits members to 6 per row.

Answers

Answer 1

Question:

Make a list of the different arrangements that Mrs. Buchanan could use.

Answer:

[tex](x,y) = \{(1,36),(2,18),(3,12),(4,9),(6,6)\}[/tex]

Step-by-step explanation:

Given

[tex]Members = 36[/tex]

[tex]Rows\ Limit = 6[/tex]

Represent the rows with x and the column, y.

This means that:

[tex]x * y = 36[/tex]

Make y the subject:

[tex]y = \frac{36}{x}[/tex]

The list is then generated as follows:

When x = 6.

[tex]y = \frac{36}{6} = 6[/tex]

[tex](x,y) = (6,6)[/tex]

When x = 5

[tex]y = \frac{36}{5} = 7.2[/tex]

This result can not be use because the result of the number of columns must be an integer

When x = 4

[tex]y = \frac{36}{4} = 9[/tex]

[tex](x,y) = (4,9)[/tex]

When x = 3

[tex]y = \frac{36}{3} = 12[/tex]

[tex](x,y) = (3,12)[/tex]

When x = 2

[tex]y = \frac{36}{2} = 18[/tex]

[tex](x,y) = (2,18)[/tex]

When x = 1

[tex]y = \frac{36}{1} = 36[/tex]

[tex](x,y) =(1,36)[/tex]

So, the possible list is:

[tex](x,y) = \{(1,36),(2,18),(3,12),(4,9),(6,6)\}[/tex]


Related Questions

Last night, 4 friends split the dinner bill evenly. Each friend paid $12.75 and left the same amount for a tip. The bills total was $61. What equation could describe the situation?

Answers

Answer: 4 * (12.75 + x) = 61

Step-by-step explanation:

Each of the 4 friends paid $12.75 so that is:

= 4 * 12.75

Assuming the tip is denoted as x it would be:

= 4x

Putting them together is:

4 * (12.75 + x) = 61

Solving the equation would give:

4 * (12.75 + x) = 61

51 + 4x = 61

4x = 61 - 51

x = 10/4

x = $2.50

5w = -75
it’s for my math homework

Answers

Answer:

w=-15

Step-by-step explanation:

desmos graphing calculator. Just switch the w for x

Maggie has 3 quarters, Elizabeth has 5 quarters, and Johnny has 7 quarters. If q represents $0.25, which of the following expressions represents how much money they have altogether?
15q
12q
0.25q
16q

Answers

Answer:

3 + 5 + 7 = 15

they have 15 quarters altogether so answer is 15q

In a drawer, a dentist keeps 11 mint, 4 grape, and 5 orange flavored toothpastes, What is the theoretical probability of randomly selecting a grape toothpaste?​

Answers

Answer:

The probability of randomly selecting a grape toothpaste is 4:20.

Step-by-step explanation:

I hope this helps and I hope u have an Amazing Day!

Answer:

The theoretical probability of selecting a grape toothpaste is 4/20.

Step-by-step explanation:

There are 20 toothpastes in total, you want to find out about the grape. The chances of you picking grape is out of 20, so it's 4/20 since there's only 4 grape.

Find the value of x

Look at the picture^^

Answer with work please I need help???

Answers

Answer:

23.64

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {x}^{2} = {28}^{2} - (25 - 10)^{2} \\ \\ {x}^{2} = {28}^{2} -15^{2} \\ \\ {x}^{2} = 784 - 225 \\ \\ {x}^{2} = 559 \\ \\ x = \sqrt{559} \\ \\ x = 23.6431808 \\ \\ x = 23.64[/tex]

PLEASE PLEASE PLEASE HELP ME IT IS URGENT!!!!!!!!!!!!!

Answers

1. Movies

2. go to gym

3. ride subway

4. walk

5. drive

2. i. Mr. h. wants to save $80,000 for his son to go to
Stanford. How much money at 5% interest does he need
to invest if he has 10 years (compounded monthly)?
ii. How much money per month would he have to invest to
reach the same goal?

Answers

Step-by-step explanation:

$80,000×5×10/100= 40,000

Please help me with #3!!

Answers

It’s going to be A...

Andre went online and visited websites for two banks to check their interest rates on savings accounts. For a $750 deposit, he can either earn 4.5% for 3 years at Bank A or 5%for 2 years at Bank B. How much would Andre earn from Bank B?
Help ASAP

Answers

Answer:75.00

Step-by-step explanation:750 x 5% x 2 = 75

I don’t understand this please help

Answers

Answer:

Step-by-step explanation:

I would love to answer you but there are no questions.

Hey guys, I just really need somebody to tell me how to get through this. So, This is my first year in High school and I've always gotten good grades. I now have C's and B's and I don't know how to deal with it. I've always strived for good grades, but this year is really hard for me, and finals week is almost a week away. Does anyone have any advice?? I know this is a homework helping website, but I just really need someone to talk to.

Answers

Answer:

im so sry. I know how it feels to study real hard but you just dont

get good grades. :(   You could try to see if anything is for extra credit or maybe you can retake some bad grades. :)

i hope everything turns out well for you :)

Step-by-step explanation:

good luck!

Alicia takes an average of 7 pages of notes every two days in her history class. If the class meets 36 times, how many pages will she have used by the end of the course?

Answers

Answer: 252

Step-by-step explanation:

you multiply 7 by 36 which gives u 252

Answer:

126

Step-by-step explanation:

36/2=18

18x7=126

There is a third shower that uses 45 gallons of water in 15 minutes. What is the usage rate for this shower?

Answers

Answer:

3gallons per minute

Step-by-step explanation:

I’m pretty sure it’s 3 gallons per minute ,
Just divide 45 by 15 and your answer would be 3

What is the measure of angle X, to the
nearest degree?

Answers

Answer:

56 degrees

Step-by-step explanation:

Assuming this is trigonometry, you use the tangent method. Which means in order to find the angle you put the adjacent side of what your finding and the opposite on top of it.

The equation is tan(angle)= 9/6

You multiply both sides by the arch of tangent and get

angle =tan^-1 (9/6)

I inserted it into my geometry calculator and got 56.30993247, I rounded to the nearest degree and got 56 degrees

Answer:

56°

Step-by-step explanation:

please tell me the step process of this btw this is 7th-grade math its angle measurements I'm confused about the process pls help.

Answers

Answer:

Angle BDA is 90°

(2x + 3) + 55 = 90

2x + 3 + 55 = 90

2x + 58 = 90

2x = 90 - 58

2x = 32

x = 32/2

x = 16

Hence,

x=16

x=16Angle BDA is 90°.

Write an equation for:

The sum of the square of a number and a second number is eighteen.

Answers

Answer:

x^2 + y = 18

Step-by-step explanation:

The equation is

Let us assume the first number be x

And, the second number be y

Since in the question it is mentioned that the sum of square of a number and the second number is eighteen

That means

x^2 + y = 18

This represent the equation

Expand 2( y+ 2)

This is urgent!

Answers

Expand 2 (y + 2)
= 2y + 4

Plz help me get the right answer

Answers

Answer:

1+4x−5x

−7x ^2 +1−(−2x^2−4x)= −7x^2+1+2x^2+4x = 1+4x−5x

help please :) i'll mark brainliest!

Answers

Answer:

Everything except the 3rd one!

Step-by-step explanation:

A sum of money is to be divided among three girls, Anna, Barbara and Chrissy in the ratio 5 : 3 : 2. If Barbara received $400 less than Anna, calculate the amount of money each girl received.

Answers

Answer:

Anna received $1000

Barbara received $600

Chrissy received $400

Step-by-step explanation:

Let us solve the problem

∵ The ratio of Anna, Barbara, and Chrissy is 5: 3: 2

∵ Barbara received $400 less than Anna

→ That means Anna - Barbara is 400, find the difference between their ratio

∵ The difference between their ratio = 5 - 3 = 2  

→ By using the ratio method

→  Anna  :  Barbara  : difference

→  5        :  3              :  2

→  A        :  B             :  400

→ By using the cross multiplication

A × 2 = 5 × 400

∴ 2A = 2000

→ Divide both sides by 2

A = 1000

Anna received $1000

∵  B × 2 = 3 × 400

∴ 2B = 1200

→ Divide both sides by 2

B = 600

Barbara received $600

Let us use the ratio between Anna and Chrissy to find the amount of Chrissy

→  Anna  :  Chrissy

→  5        :   2

→  1000  :   C

→ By using cross multiplication

5 × C = 2 × 1000

∴ 5C = 2000

→ Divide both sides by 5

C = 400

Chrissy received $400

if the store paid $75 for a clarent and sold it for 100

Answers

Answer:

Is this the full question?

Step-by-step explanation:


Given F(x)= 5x^6 what is the domain? What is the range?

Answers

The domain is (-∞,∞) and the range is [0,∞)

Answer:

Domain: all real numbers

Range: y bigger or equal to 0

Step-by-step explanation:

EDG2021

y = -1
4x + 3y = -19

Answers

I got 4x-3=-19 then I got stuck

can someone tell me if it’s parallel or perpendicular

Answers

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular

Solve for x in the figure below
33
2x + 30
41​

Answers

Given:

An exterior angle of a triangle = 2x+30°

Two opposite interior angles are 33° and 41°.

To find:

The value of x.

Solution:

According to the exterior angle thereom, the exterior angle of a triangle is equal to the sum of opposite interior angles.

Using exterior angle theroem, we get

[tex](2x+30)^\circ=33^\circ+41^\circ[/tex]

[tex](2x+30)^\circ=74^\circ[/tex]

[tex](2x+30)=74[/tex]

On further simplification, we get

[tex]2x=74-30[/tex]

[tex]2x=44[/tex]

[tex]x=\dfrac{44}{2}[/tex]

[tex]x=22[/tex]

Therefore, the value of x is 22.

[tex]3^{3} + 6(2 + \frac{3}{6} )[/tex]

Answers

Answer:

24

Step-by-step explanation:

9+6(2+3/6)

9+6(2+1/2)

2+1/2 = 2.5

9+6(2.5)

9+15

24

PLS HELP ILL GIVE BRAINLY: Use the chart above to answer the question below

Which company charges more per hour? Explain.

Answers

Answer:

Green Lawns is more expensive

Step-by-step explanation:

Take the hours provided in the table and place them into the function

y=10x + 15

Then compare to Green Lawns.

For 2 hours:

y = 10 * 2 + 15 = $35 / hr

For 3 hours:

y=10 * 3 + 15 = $45 / hr

6. Multiply and simplify.

Answers

Answer

The last one

Step-by-step explanation:

Im big brain

-1 to the 5 power + (-1+3) to the 2nd power

Answers

Answer:

the answer will be 3

Step-by-step explanation:

do the parenthesis first

Someone help me plzzz. Quickkkkkk

Answers

Answer:

They can make 5 posters.

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