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

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

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.

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:

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


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 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.

learn more about substitution here :

https://brainly.com/question/18330729

#SPJ2

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

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

Answers

1. renaming a fraction  (C)

2. de-c (C)

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

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

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

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

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.

Learn more details about integers  here:

https://brainly.com/question/15276410

#SPJ2

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.

To know more about equation:

https://brainly.com/question/29657983


#SPJ6

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)

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.

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

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.

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:

• 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

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

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

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)

Helpppppp pleaseeeee

Answers

Answer:

translations are B and D I believe so

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.

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

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

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:

https://brainly.com/question/28191144

#SPJ2

Other Questions
1.Change these measurements into metres:(b) 425 cm(d) 140 cm(e) 780 cm(a) 245 cm(c) 535 cm(f) 340 cm(g) 2 565 cm(h) 5 010 cm2.Change these measurements into centimetres:(a) 8 m(b) 13 m(c) 24 m(d) 207 m(e) 21 m(f) 100 m(g) 105 m(h) 1 m need help i WILL MARK YOU BRANLEST HELP!!!!! Which of the following represents fifth root of x to the fourth power in exponential form? (6 points) a 4x5 b 5x4 c x to the five fourths power d x to the four fifths power What percentage of Americans eat a healthy diet? What is the volume of a sphere with a radius of 3 inches? 12 cubic inches 24 cubic inches 36 cubic inches 48 cubic inches If a firm is a price taker in both the labor market and the output market, it will:______.a. exceeds the marginal revenue product of labor.b. equals the marginal revenue product of labor.c. is less than the marginal revenue product of labor.d. equals the marginal physical product of labor. What would be the correct ecological classification for the cockroaches? a. Producers b. Primary consumers c. Secondary consumers d. Scavengers / Decomposers If you choose to give someone breaths without a barrier device, it is usually quitesafe because there is very little chance that you will catch a disease? 5 Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane isequal to 1-2-(-7) units.Ryan says that the distance between the points (2, 3) and (-9,3) in the coordinateplane is equal to 2 + 9 units.Is either Laura or Ryan correct? Explain. According to data from the U.S. Census Bureau, in 2010 21,495 workers in Wake County had a daily commute between 45 and 59 minutes. By 2016 the number of workers with this long of a commute had increased by 82%. How many Wake County workers had a 45-59 minute commute in 2016? Which equation shows the correct relationship between the measures of the angles of the two triangles? If f(x)=3-|7+2x|, evaluate if f(-5) How long does a federal judge serve? The following information was reported in the December 31, 2012, financial statements of Southeast Airlines, Inc. (listed alphabetically, amounts in millions).Accounts Payable $4,155Accounts Receivable 700Aircraft Fuel Expense 9,900Cash 3,090Common Stock 1,280Dividends 15Equipment 15,810Income Tax Expense 310Interest Expense 250Landing Fees Expense 4,300Notes Payable 7,010Repairs and Maintenance Expense 2,400Retained Earnings (as of December 31, 2012) 7,895Salaries and Wages Expense 3,460Supplies 740Ticket Revenues 23,100Prepare an income statement for the year ended December 31, 2012. DeAndre Jordan has been working on his free throw shooting for the 2020-21 NBA season and it's not going well. After his workouts, he's been shooting 50% from the line in an empty gym. He shoots a string of 15, and then based on the number he makes, he has the following exercise routine. You can assume all of his free-throws have the same probability of being made (50%) and are independent of another.If he makes more than 10 *** or less than 5. he does 40 push-ups. (A) If he makes less than 8. he does 15 pull-ups. (B) If he makes exactly 6 (his jersey number). he runs the length of the court and back 10 times. If he makes between 3 and 12 (inclusive). he drinks a very tall glass of water. (D) (He may do multiple exercises,) ***This initially incorrectly read 10 instead of 9. If you submitted your attempt before. l made the correction. I have regraded it. Which of the following are independent ? Select one or more: a. A and B are independent. b. C and D are independent. c. A and D are independent. d. A and C are independent. e. B and D are independent, Can a notary advertise saying on time 24/7. Is this allowed What industry stimulated the creation of "time zones" in the United states g(t)=t squared - 2; Find g(9) The left and right page numbers of an open book are two consecutive integers whose sum is 229 simplify the expression (a^3 over 2)^3