The marching band needs to create rows for its performance. There are 48 instruments and 32 flag bearers. Only one type of performer can be in each row. What is the maximum number of performers in each row so that all the rows are equal in length?

48
32
16
2

Answers

Answer 1

The maximum number of performers in each row so that all the rows are equal in length is C. 16.

How to calculate the value

It should be noted that there are 48 instruments and 32 flag bearers and only one type of performer can be in each row.

The maximum number of performers in each row so that all the rows are equal in length will be the highest common factor between both numbers.

It should be noted that the highest common factor between 32 and 48 is 16

Therefore the correct option is C.

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Related Questions

As the tax assessor for Indian Creek County, you have been informed that due to budgetary demands, a tax increase will be necessary next year. The total market value of the property in the county is $400,000,000. Currently, the assessment rate is 35% and the tax rate is 30 mills. The county commission increases the assessment rate to 55% and the tax rate to 35 mills.
(a)
How much property tax (in $) was collected under the old rates?
$

(b)
How much more tax (in $) revenue will be collected under the new rates?
$

Answers

The amount of property tax that was collected under old rates is $4,200,000 and new rates is $5,400,000.

(a) Take a look at the information provided.

$400,000,000 is the fair market value, and the assessment rate is 35%.

Thus, 35% = 35/100 = 0.35

Since fair market value x assessment rate equals assessment value

400,000,000 x 0.3 = 140,000,000

30-mill old property tax rate

To convert the tax rate from mills to decimal, multiply it by 0.001.

30x 0.001 = 0.03

Then, multiply the old tax rate by the previous assessment value of the property to determine the amount of property tax owed: 140,000,000 x 0.03 = 4,200,000.

Therefore, the amount of property tax that was collected at the previous rates was $4,200,000.

(b) The price at fair market is $400,000,000.

The evaluation rate is 45%.

45% = 45/100 = 0.45

As, or in other words,

assessment value = fair market value multiplied by the assessment rate.

As a result,

400000000 x 0.45 = 180000000

30 mills is the old property tax rate.

To compute the tax rate in decimal notation, multiply the millage rate by 0.001.

30 x 0.001 = 0.03

Calculate the property tax owing by multiplying the old tax rate by the previous assessment of the property: 180000000 x 0.03 = 5400000.

Therefore, the amount of property tax that was gathered at the new rates is 5,400,000.

Hence, the amount of property tax that was collected under old rates is $4,200,000 and new rates is $5,400,000.

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Please please help me i need help with explanation please see picture

Answers

Bxh/2

9x5= 45
45/2= 22.5

Answer: 22.5 cm^2

What is the answer?I am really lost.

Answers

Answer:

nine, you could find the answer from the instruction

Can anyone help me with this problem?

Answers

Answer:

I genuinely believe the answer is five

Step-by-step explanation:


A barge (flat bottomed freight boat) moving with a speed of 1.00 m/s increases speed uniformly, so that in 30.0 seconds it has traveled 60.2 m. What is the magnitude of the barge's acceleration?

Answers

Answer:(a) Choose the initial point where the pilot reduces the throttle and the final point where the boat passes the buoy: X

i

=0,X

f

=100m,

V

xi

=30m/s,V

xf

=?,a

x

=−3.5m/s

2

,andt=?

X

f

=X

i

+V

xi

t+

2

1

a

x

t

2

100m=0+(30m/s)t+

2

1

(−3.5m/s

2

)t

2

(1.75m/s

2

)t

2

−(30m/s)t+100m=0

We use the quadratic formula:

t=

2a

−b±

b

2

−4ac

t=

2(1.75m/s

2

)

30m/s±

900m

2

/s

2

−4(1.75m/s

2

)(100m)

=

3.5m/s

2

30m/s±14.1m/s

=12.6s or 4.53s

The smaller value is the physical answer. If the boat kept moving with the same acceleration, it would stop and move backward, then gain speed, and pass the buoy again at 12.6s.

(b) V

xf

=V

xi

+a

x

t=30m/s−(3.5m/s

2

)4.53s=14.1m/s

Step-by-step explanation:

\frac{6\div \frac{3}{8}∙0.5}{1.44\div 4.5}

Answers

The value of the expression [6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] is 25

How to evaluate the expression?

The expression is given as

\frac{6\div \frac{3}{8}∙0.5}{1.44\div 4.5}

Rewrite properly as

[tex]\frac{6\div \frac{3}{8} \times 0.5}{1.44\div 4.5}[/tex]

This implies that

[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5]

Express the quotient as product

So, we have

[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = [6 x 8/3 x 0.5]/[1.44 ÷ 4.5]

Evaluate the product

So, we have

[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = [8]/[1.44 ÷ 4.5]

Evaluate the quotient

So, we have

[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = 8/(8/25)

Express the quotient as product

So, we have

[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = 8 x 25/8

Evaluate

[6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] = 25

Hence, the value of the expression [6 ÷ 3/8 x 0.5]/[1.44 ÷ 4.5] is 25

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Function Operations
Given the functions: f(x) = 6x + 3 and g(x) = x² + 10x - 7,

Answers

Part 1

[tex](f+g)(x)=f(x)+g(x) \\ \\ =(6x+3)+(x^2 +10x-7) \\ \\ =\boxed{x^2 + 16x-4}[/tex]

Part 2

[tex](f-g)(x)=f(x)-g(x) \\ \\ =(6x+3)-(x^2 +10x-7) \\ \\ =6x+3-x^2-10x+7 \\ \\ =\boxed{-x^2 - 4x+10}[/tex]

Part 3

[tex](f\cdot g)(x)=f(x) \cdot g(x) \\ \\ =(6x+3)(x^2 +10x-7) \\ \\ =6x^3 + 60x^2 - 42x+3x^2 + 30x-21 \\ \\ =\boxed{6x^3 + 63x^2 - 12x-21}[/tex]

Part 4

[tex]\left(\frac{f(x)}{g(x)} \right)=\frac{f(x)}{g(x)} \\ \\ =\boxed{\frac{x^2 + 10x-7}{6x+3}}[/tex]

Solve (2x - 4) <8.
x= <5
x=<2
x=<6
x=4

Answers

Answer:

X = <6

Step-by-step explanation:

(2x - 4) < 8

2x - 4 + 4 < 8 + 4

2x < 12

2x/2 < 12/2

x < 6

Hope this helps! :)

Benny received an amount of money on Monday. Every subsequent day, the amount of money he received was twice as much as that received the previous day. On the fifth day, he received $112. How much money did he receive on Monday?​

Answers

Answer:

He received $7

Step-by-step explanation:

$7 - Monday {first day}

$7 × 2 = $14 Tuesday {second day}

$14 × 2 = $28 Wednesday {third day}

$28 × 2 = $56 Thursday{ fourth day}

$56 × 2 = $112 friday {fifth day}

One month, Miko bought two books at a used book store for $2. Over the next few months, she bought four books for a total of $5, six books for a total $7, and eight books for a total of $10. Is the cost proportional to the number of books purchased? Explain.​

Answers

$190 is the cost proportional to the number of books purchased'

What is the short answer to cost?

A company's cost is the amount of money it had to spend to create its goods or services. It is calculated as the sum that the business spends to create a specific number of a product. Simply put, it is the cash that a business spends on things like labor, services, raw materials, and other costs.

Mike purchased total books = 2 × $2 + 4 × $5 + 6 × $7 + 8 × $10

                                              = 4 + 20 + 30 + 56 + 80

                                               = $190

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Find an equation of the place contains the curve with the vector (6 sint, cost, -cost)

Answers

The equation of the plane contains the curve with the vector (6 sint, cost, -cost) is [tex]F(t)=(6sint\ , \ cost , \ -cost)[/tex]

A parametric equations is a type of equation with an independent variable, called the parameter (often denoted by t), in which the dependent variable is defined as a continuous function of the parameter and does not depend on any other existing variables. A parametric equation gives the equation of the curve on the coordinate plane. It usually takes the form  given by two different functions of coordinates and variables which is given by [tex]F(t)=(x(t) , y(t) , z(t) )[/tex]      ...(1)

It is given that a plane contains the curve with the vector (6 sint, cost, -cost) which can be written as  [tex]x(t)=6sint ,\ y(t)=cost , \ z(t)=-cost[/tex]

Putting above values in equation (1) , we get

[tex]F(t)=(6sint\ , \ cost , \ -cost)[/tex]

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The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a​ student's alarm clock has a ​8.2% daily failure rate.

a. What is the probability that the​ student's alarm clock will not work on the morning of an important final​ exam?.
b. If the student has two such alarm​ clocks, what is the probability that they both fail on the morning of an important final​ exam?
c. What is the probability of not being awakened if the student uses three independent alarm​ clocks?

Answers

The solution to the probabilities in this principle of redundancy are:

a) 0.082b). 0.006724c.) 0.000551

How to solve for the probability

A. The probability that the alarm clock of this student would not work on the morning of an important exam is

= 8.2%

= 0.082

b. The probability that the 2 alarms would fail on the morning of an important exam is

p(alarm 1 failing) x p(alarm 2 failing)

= 0.082 x 0.082

= 0.006724

c. The probability that the student would not wake with the use of 3 independent alarms

= p(alarm 1 failing) x p(alarm 2 failing) x p(alarm 3 failing)

=  0.082 x 0.082 x 0.082

= 0.000551

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Nancy spent 1/5 of her money on a dress and 1/4 of the remainder on a handbag, if she spent a total of $100, how much did he have at first?

Answers

Nancy had $ 250 at the start when she did not buy anything given by the equation $ 100 = 2 x / 5

Let the original amount Nancy have first be x.

Therefore, Money spent on dress =  x / 5

Remaining money = x - x / 5

= 4 x / 5

Money spent on handbag = (1 / 4) × 4 x / 5

= x / 5

Total total money spent is given by the equation:

= x / 5 + x / 5 = $ 100

$ 100 = 2 x / 5

2 x = $ 500

⇒ x = $ 500 / 2

⇒ x = $ 250

Hence, Nancy had $ 250 at the start when she did not buy anything given by the equation $ 100 = 2 x / 5

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Whats the domain of the graph ?

1
2
3
4

Answers

Answer:

A

Step-by-step explanation:

The less than signs are not less than or equal to when there is open circles. In this situation, there is no open circles, so it is A.

n×50=5,000 explain solution.​

Answers

Answer:

100 is your answer

Step-by-step explanation:

I simply switched around the equation the answered it that way

Example: n×50=5,000

5000/50=n

500/50=100

5k + 3 ≤ − 32 or −4k + 7 < −29

Answers

Answer/Step-by-step explanation:

5k + 3 ≤ -32 or -4k + 7 < -29

     -3      -3              -7      -7

5k ≤ -35               -4k < -36

÷5     ÷5               ÷-4    ÷-4

k ≤ -7                       k > 9

<----                     ------------>

<----|----------------O----------->

     -7                 9

(-∞, -7], (9, ∞)

I hope this helps!

between which two hundred thousands is the number 185,104

Answers

Answer:

185,104 is between 100,000 and 200,000.

Hope this helps :)

Step-by-step explanation:

100,000 comes before 185,104 and 200,000 comes after 185,104.

How many 3 digit passcodes are possible if the digits, chosen from the set {1, 2, 3, 4, 5}, cannot be repeated and the first digit must be an even number.

Answers

Answer:  24

==================================================

Explanation:

The first digit must be even, so we have this subset {2,4} to pick from for that first digit. There are 2 choices here.

Whatever is picked for the first digit cannot be re-selected. So we have 5-1 = 4 choices left for the second digit, and then 4-1 = 3 choices for the third digit.

Overall we have 2*4*3 = 24 different passcodes.

2(x-3) + 5x less than or equal to 9x - 14

Answers

Answer: It would most llikely be more than, but im not sure.

if f is a function from R to R such that f(x)f(y)=f(x+y)+f(z-y) and f(1)=3, then what is the value of f(7)?​

Answers

I suppose you mean

[tex]f(x) f(y) = f(x + y) + f(x - y)[/tex]

Let [tex]x=1[/tex] and [tex]y=0[/tex]. Then

[tex]f(1) f(0) = f(1 + 0) + f(1 - 0) \implies f(1) f(0) = 2 f(1) \implies f(0) = 2[/tex]

Now if we fix [tex]y=1[/tex], the functional equation reduces to the recurrence relation

[tex]f(x) f(1) = f(x + 1) + f(x - 1) \implies f(x+1) - 3f(x) + f(x-1) = 0[/tex]

and we can find [tex]f(7)[/tex] with a few rounds of substitution.

[tex]x=1 \implies f(2) - 3f(1) + f(0) = 0 \implies f(2) = 3f(1) - f(0) = 7[/tex]

[tex]x=2 \implies f(3) - 3f(2) + f(1) = 0 \implies f(3) = 3f(2) - f(1) = 18[/tex]

[tex]x=3 \implies f(4) - 3f(3) + f(2) = 0 \implies f(4) = 3f(3) - f(2) = 47[/tex]

[tex]x=4 \implies f(5) - 3f(4) + f(3) = 0 \implies f(5) = 3f(4) - f(3) = 123[/tex]

[tex]x=5 \implies f(6) - 3f(5) + f(4) = 0 \implies f(6) = 3f(5) - f(4) = 322[/tex]

[tex]x=6 \implies f(7) - 3f(6) + f(5) = 0 \implies f(7) = 3f(6) - f(5) = \boxed{843}[/tex]

A sequence of translations maps triangle ABC to triangle A'B'C'.

triangle ABC has vertices at A(-8,2), B(13,2), C(-2,10)
coordinates for A' are (-1,-3)
What are the coordinates for B'? (use parenthesis around the point)

Answers

Answer:

Down Below Is the answer!

Step-by-step explanation:

The triangles ABC and A'B'C' are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A'B'C'. Euclid2 In the right triangle ABC with a right angle at C is given side a=29 and height v=17. Calculate the perimeter of the triangle.

Daisy walked from home to her friends house, which is 700m away, in 5 minutes. she stayed for 30 minutes, then walked home in 10 minutes

Answers

Based on the distance of her friend's house, the rate at which Daisy walked to the house was 140 m/s and the rate at which she walked home was 70 m/ s.

What was the rate that Daisy walked?

The rate that Daisy walked to her friend's house can be found by the formula:
= Distance to friend's house / Number of minutes it took

= 700 / 5

= 140 m/ s

When Daisy was walking home, her rate was:

= Distance to home / Number of minutes it took

= 700 / 10

= 70 m/ s

Rest of the question:
What was Daisy's walking speed going to her friend's house and coming back?

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Please answer the question in the picture, I will mark brainliest

Answer options are:

A. a 180 degrees clockwise rotation about the origin
B. a dilation with a scale factor of 6
C. a 90 degrees clockwise rotation about the origin
D. a reflection over the line x=6

Answers

Answer:

B

Step-by-step explanation:

My mom is a teacher lol

what is the answer to -24-(-19)​

Answers

-5; -24-(19) can be turned into -24+19=-5

[tex] \tt{ \\ - 24 - ( - 19) \\ \\ \green \rightarrow - 24 + 19 = - 5}[/tex]

1/5x+1/4=1/2(x+5) What is x

Answers

Answer: [tex]-\frac{15}{2}[/tex] or -7.5

Step-by-step explanation:

[tex]\frac{1}{5} x + \frac{1}{4} = \frac{1}{2} (x+5)[/tex]

[tex]\frac{1}{5} x + \frac{1}{4} = \frac{1}{2}x + \frac{5}{2}[/tex]

[tex]\frac{1}{5} x + \frac{1}{4} - \frac{5}{2}= \frac{1}{2}x[/tex]

[tex]\frac{1}{4} - \frac{5}{2}= \frac{1}{2}x - \frac{1}{5} x[/tex]

[tex]-\frac{9}{4} = \frac{3}{10} x[/tex]

[tex]-\frac{9}{4} divide \frac{3}{10}= x[/tex]

[tex]x = -\frac{15}{2}[/tex]

Tom has one hundred forty-four blue marbles. Tom has eighteen times more blue marbles than Mike. How many blue marbles does Mike have?​

Answers

Answer:

18 Blue Marbles

Step-by-step explanation:

Let M be the number of blue marbles that Mike has.

From the information from the question, we can deduce:

18M = 144 blue marbles

Now we solve for M to find the number of blue marbles that Mark has.

M = 144 ÷ 18

= 8 Blue Marbles

Mike has 8 marbles. Given that Tom has 144 marbles and that is 18 times the amount Mike has, we can set up an equation where m represents the amount of marbles Mike has:

m = 144 / 18

An equation for how many marbles Tom has would be:

t = 18m

144 / 18 gives us 8. For that reason, we know that Mike has 8 marbles.

Mike has 8 blue marbles.

What is the slope of the line that contains the points (4, 3) and (2, 7)?

Answers

The answer would be -2.
The slope for a linear line is rise/run. Rise would be the y coordinates and run would be the x coordinates.
7-3/2-4 becomes 4/-2 and reduces to -2

What company has the absolute advantage when it comes to producing phones?
a. Gonzalez and Bros. Inc
b. The G company Inc
c. they both do
d. neither

Answers

(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.

Absolute advantage theory

Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.

On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.

Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.

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The area of a square poster is 38 in.². Find the length of one side of the poster to the nearest tenth of an inch.
The length of one side of the poster is
(Round to the nearest tenth as needed.)
in.

Answers

Answer:

6.1 inches

Step-by-step explanation:

You need to find the square root of 38 which is 6.1 when rounded to the nearest ten

Is the following relation a function? x y (1 4 )(−1 −2 )(3 10)( 5 16) a Yes b No

Answers

The relation defined by the given set of coordinates(1, 4) , (−1, −2 ) , (3, 10) , (5, 16) represents a function.

What is function?

A function is relation between a dependent [x] and independent [y] variable . The value of the dependent variable [y] depends upon the value of the independent variable [x].

Given is a relation defined by the following set of coordinates -

(1, 4) , (−1, −2 ) , (3, 10) , (5, 16).

For a given relation, defined by the given set of coordinates to be a function, there should be a unique value of y-coordinate for a unique value of x-coordinate. However, the value of y-coordinate can be same for different values of x-coordinates. From the relation given, we can see that -  for every value of x, there are unique values of y. Hence, the given relation is a function.

Therefore, the relation defined by the given set of coordinates(1, 4) , (−1, −2 ) , (3, 10) , (5, 16) represents a function.

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