Tom made a square measuring 8 feet by 8 feet, and had 18 friends stand inside it as if they are watching a band at a small club. Find the ratio of this number to the rectangle’s area. Choose the appropriate label for this ratio.

Answers

Answer 1

Answer:

The ratio of this number to the rectangle’s area is 9:32.

Step-by-step explanation:

The information provided are:

Tom made a square measuring 8 feet by 8 feet.He had 18 friends stand inside it as if they are watching a band at a small club.

The area of the square is:

A = (side)²

  [tex]=(8\ \text{feet})^{2}\\\\=64\ \text{feet}^{2}[/tex]

The number of people standing insider the square is:

n = 18

Compute the ration of n to A as follows:

[tex]n:A=18:64[/tex]

        [tex]=\frac{18}{64}\\\\=\frac{9}{32}\\\\=9:32[/tex]

Thus, the ratio of this number to the rectangle’s area is 9:32.


Related Questions

which of the following shows the correct solution steps and solution to 3x+2=17?

Answers

Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

[tex]\sf 3x + 2= 17[/tex]

Subtracting 2 to both sides

[tex]\sf 3x = 17-2\\3x = 15[/tex]

Dividing both sides by 3

[tex]\sf x = 15/3\\x = 5[/tex]

The correct solution to the equation 3x + 2 = 17 is x = 5.

Let's find the correct solution to the equation 3x + 2 = 17:

Step 1: Subtract 2 from both sides to isolate the term with 'x':

3x + 2 - 2 = 17 - 2

3x = 15

Step 2: Divide both sides by 3 to solve for 'x':

3x / 3 = 15 / 3

x = 5

So, the correct solution to the equation 3x + 2 = 17 is x = 5.

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Jenny needs to sew two pieces of fabric together. One of the pieces is 3 1/12 inches and the other one is 6 5/8. What is the length of the pierce of fabric

Answers

Answer:

9 17/24in

Step-by-step explanation:

3 1/12 + 6 5/8 = length of fabric

We can add 3 and 6 since they are whole inches.

3 + 6 = 9

Now we add the fractions

1/12 + 5/8

We need to find a common denominator.

Each number goes into 24 so

1/12*(2/2) = 2/24      and     5/8*(3/3) = 15/24

2/24 + 15/24 = 17/24

So the total length of fabric is 9 17/24in

Libby donated​ $50 during the first month of the year. If she makes three additional donations of equal amounts during the​ year, how much will she need to donate each time to be in the Silver​ category?

Answers

Answer:

She will donate P-50/3 each time

Step-by-step explanation:

Now assuming total donation needed to be in the silver category Is P

We can assume also the three additional and equal donations be Q

So

Then 50 + 3Q = P

So we still don't know P

We can get Q by saying

3Q= P - 50

Q = (P - 50) /3

Read through the solution below. Then, answer the questions that follow.

Answers

1. renaming a fraction  (C)

2. de-c (C)

Helpppppp pleaseeeee

Answers

Answer:

translations are B and D I believe so

I need the answer and the work (it’s geometry)

Answers

The answer is 45 since x is 9 and 3x+18 totals to 45

• How do you recognize a proportional relationship in a graph?​

Answers

U have to check these: (proportional)
1. Does it pass through (0,0)?
2. Is the equation for the graph is y=kx ?
For example: y= 3x
• if the simplified ratio of y/x are equal then they are proportional

Not proportional:
1. Does NOT pass through (0,0)
2. Equation format is y=mx+b
For example : y=3x+11


The distance between two communication towers is 12.654 miles. What is this distance rounded to the nearest tenth of a mile?

Answers

Answer:

12.7 miles

Step-by-step explanation:

Note the place values:

12.654

1 (tens value)

2 (ones value)

.

6 (tenths value)

5 (hundredths value)

4 (thousandths value)

~

You are rounding to the nearest tenths value. Note that when rounding, you look at the value directly next to the one you are solving for. If the digit is 5 or greater, round up. If it is 4 or less, round down.

In this case, the hundredths value is a 5, so round up.

12.654 miles rounded to the nearest tenths value is 12.7

12.7 miles is your answer.

12.7 miles is the answer

What is the value of the expression below when x
3 and y = 8?
6x + 10y

Answers

Answer:

98

Step-by-step explanation:

So we have the expression:

[tex]6x+10y[/tex]

And we want to evaluate it when x is 3 and y is 8.

So, substitute:

[tex]=6(3)+10(8)[/tex]

Multiply:

[tex]=18+80[/tex]

Add:

[tex]=98[/tex]

And we're done!

6(3) + 10(8)

18 + 80

=

98

Write and test a conjecture about the quotient of a negative number and a positive number. Give at least two examples when testing the conjecture. Someone please help... it will be greatly appreciated.

Answers

Answer:A negative number divided by a positive number is always negative

Step-by-step explanation:

Which of the following functions best describes this graph?
A. y = x2 -5x + 6
B. y = (x - 1)(x - 1)
C. y = x2 - x +5
D. y = (x - 3)(x + 1)

Answers

Answer:

B

Step-by-step explanation:

I think B because look at the line going down

a line and a point are ________ coplanar. a. always b. sometimes c. never (The answer is not A)

Answers

a line and a point are sometimes coplanar

he capacity of a bottle used in the chemistry lab is 99 pints. What is the
capacity of the bottle in cups?

Answers

Answer:

it would be 49.5

Step-by-step explanation:

99/2=49.5

the greater of two consecutive odd integers is one less than twice the smallest. What are the integers?

Answers

Answer:

this might help you..

The required integers are 3 and 5.

It is required to find the integers.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

Let smallest  number as x

the Largest number as (x+2)

According to given question we have,

(x+2)=2x-1

3=2x-x

∴x=3

Smallest  number=3

The Largest number =(x+2)=3+2=5

Therefore, the required integers are 3 and 5.

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The coordinates of point T are (0,5). The midpoint of ST is (2, -4). Find the coordinates of point S.

Answers

Answer: Coordinates for S (4,-13)

Write an algebraic expression for the sum of six times a number and 25

Answers

Answer:

6x+25

Step-by-step explanation:

hope that helps

What is the value of w2 +3x +y -z when w = 3, x = 8, y = 2 and z = 5?

Answers

Answer:

32

you add everything together and put W X Y Z all pf those numbers where they belong!!

Good luck!!

Answer:

30

Step-by-step explanation:

w^2 +3x +y -z where w = 3, x = 8, y = 2 and z = 5

thus: (3^2) + 24 +2 - 5 = 30

Herb owanda is a computer operator for data base, inc. He earns $38,600 a year he is single and is paid on a weekly basis how much is withheld from each weekly paycheck for state taxes?

Answers

Answer: $14.85

Step-by-step explanation:

given data:

yearly earnings = $38,600

there are 52weeks in a year, so his weekly wages

= $38,600/52

= $742.31

his state tax rate falls under the 2% rate due to his income

= 2/100 * $38,600

= $772/52

= $14.85 is withheld from his weekly wages for the state tax.

If mXWZ = 90, what is x?

Answers

Answer:

x=11

Step-by-step explanation:

To Solve this equation, you need to understand the rules of complementary angles. In this case, XWY and YWZ make up XWZ. In this case, we would add them

5x+5+2x+8=90

7x+13=90

7x=77

x=11

How can you find the unit rate in a table and in a graph? ​

Answers

Table: To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.

Graph: On a linear graph, the unit rate is obtained by calculating the slope of the line.

I do not know about the curve in the graph.

ok so like I need helpp ;-;​

Answers

Answer:

i think the answer is B because 3/4 is more than 2/3

Answer:

its b.

Step-by-step explanation:

if you convert them, so they both have the same dominator, nadias recipe ends up needing more flour.

Andre drew a plan of the courtyard at a scale of 1 to 60 on his drawing one side of the courtyard is 2.75 inches what is the actual measurement of the side of the courtyard express your answer in inches

Answers

Answer:

165 inches

Step-by-step explanation:

The scale is 1 to 60, so real measurements are 60 times bigger than drawing measurements.

2.75 inches * 60 = 165 inches

I think it is 165 inches

The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a.

a = F + m
a = F − m
a = Fm
a = F divided by m

Answers

Answer:

a = F/m

Step-by-step explanation:

F = ma divide m by both sides

F/m = a

Answer:

D

Step-by-step explanation:

I need the answer and the work (it’s geometry)

Answers

Answer:

B

Step-by-step explanation:

∠ CBD = ∠ ABE ( vertical angles ), thus

7x - 6 = 5x + 14 ( subtract 5x from both sides )

2x - 6 = 14 ( add 6 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Thus

∠ ABE = 5x + 14 = 5(10) + 14 = 50 + 14 = 64° → B

HEYO!!!!!! HOW DO I GET YOUR GUY’S ATTENTION TO ANSWER MY QUESTIONS!

I HAVE SOME QUESTIONS:

NUMBER 1: Why do you solve for a specific variable?
NUMBER 2: Why would you want to solve for a specific variable variable?
NUMBER 3: Show an example of solving for a specific variable.

(I posted this same question like 4 times lol)
PLEASE ANSWER!!!!

Answers

Answer:

1. variable by itself with a coefficient of 1 on one side of the equation and all the other variables and constants on the other side.

2.Because solving an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.

Step-by-step explanation:

3x =4xyz - 12y

+12           +12

3x + 12y

----------

4xy

3x + 12y

---------- =z

4xy

What is the value of the expression below when z = 6

Answers

Answer:

81

Step-by-step explanation:

[tex]2z^2+2z-3[/tex]

Using PEMDAS/BODMAS, we will have to do the exponent first, which is [tex]z^{2}[/tex].

Substitute the variable z with 6, since z = 6.

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

[tex]6^{2} =36[/tex].

Thus, we will get

[tex]2(36)+2(6)-3[/tex]

Solve the multiplication next.

[tex]72+12-3[/tex]

Finally, add/subtract the numbers:

[tex]84-3[/tex]

[tex]81[/tex]

The value of the equation 2z² + 2z - 3 at 'z' equal to 6 is 81.

What is substitution?

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, A quadratic equation 2z² + 2z - 3.

Now, The value of the equation at z = 6 can be obtained if we replace the variable z with it's numerical value which is,

= 2(6)² + 2(6) - 3.

= 2(36) + 12 - 3.

= 72 + 9.

= 81.

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Evaluate this expression for c=6, and a=2. c/a.

Answers

Answer:

We know that....

c=6

a=2

so c/a = 6/2 = 3

Hope this helps....

Have a nice day!!!!!

Mark my ans as brainliest ang get 3 extra points

Answer: 3

Explanation: Here we're asked to evaluate [tex]\frac{c}{a}[/tex] if c = 6 and a = 2.

[tex]\frac{c}{a}[/tex] means the same thing as c divided by a and since we know that c = 6

and a = 2, we can substitute 6 in for c and 2 in for a and we have [tex]\frac{6}{2}[/tex] which is 3.

What is the value of f(-8)

Answers

For this question, you didn't gave enough details.

Read the function given by the question first.

After that substitute x with - 8.

In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease. Smoking and alcohol consumption habits were recorded for all 3 groups. Is this an example of an observational study or experimental study

Answers

Answer:

It is an example of an observational study.

Step-by-step explanation:

The given number case is example of an observational study.

What is Observational study?

Observational studies are ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it. Cohort studies and case control studies are two types of observational studies.

Given:

In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease.

Smoking and alcohol consumption habits were recorded for all 3 groups.

The above is somehow the example of research which requires an observation which does not change any data.

Learn more about observational study here:

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In a dessert factory, a hose pumps out 7.35 liters of chocolate syrup each minute. How many liters of chocolate syrup will the hose pump out in 6 minutes?

Answers

if the factory hose pumps out 7.35 liters of chocolate a minute and you have 6 minutes you could multiple and you would get 44.1(7.35x6=44.1)

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