4. 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:

9 people per 32 square ft

(or 9:32)

Step-by-step explanation:

First find the area:

8*8=64 sqr ft

Next create a ratio

18 people to 64'sqr

Now we try reducing

18/2 = 9

64/2 = 32

So the final ratio is 9 people per 32 square ft

9:32

Hope this helps! :)


Related Questions

Azmol is paid £1500 per month. He is going to get a 3% increase in the amount of money he is paid. Work out how much money Azmol will be paid per month after the increase.

Answers

Answer:

So if he's paid £1500 and he's getting an increase of 3%, we only need to calculate the 3% of 1500 and then add it what he's paid now (£1500)

To calculate the x% of a number, we multiply the number by [tex]\frac{x}{100}[/tex]%.

So, if we want to calculate the 3%, we need to multiply by [tex]\frac{3}{100}[/tex]%, by 0.03:

1500 * 0.03 = £45

So now, we know he'll be paid £45 more than the last month, so we sum what he got before (£1500) plus those £45.

1500 + 45 = £1545

Billy uses 7 centimeters of tape for every present he wraps. How much tape will billy need in all if he has to wrap 6 presents?

Answers

He will need to use 42 centimeters.

What number is 10^2 times as long as 0.012?

Answers

100, 3/250 because 10x10 is 100 and 0.012 converted into fraction is 3/250

Find the value of m.
A. 63
B.50
C.32
D.74

Answers

Answer:

A

Step-by-step explanation:

(4.2 x 103) x (1.3 x 10-1)

Answers

Answer:

5191.2

Step-by-step explanation:

(4.2 x 103) x (1.3 x 10 - 1)

(432.6) x (13 - 1)

(432.6) x (12)

5191.2

Answer:

5191.2

Step-by-step explanation:

(4.2 x 103) x (1.3 x 10-1)

=432.6 ( 13 -1)

=432.6 x 12

=5191.2

w - 4c use w = 7 and c = 9 show work plssss

Answers

Answer: -29

Step-by-step explanation: plug 7 in for w and 9 for c

7-4(9) = -29

Please solve this for me
I’m dumb I know please do it
No wrong answer or Bots or else I’ll report

Answers

Answer:

Step-by-step explanation:

1a. 7000m                    1b. 10mm

2a. 1000cm                  2b. 2m

3a. 6km                        3b. 3km

4a. 2km                        4b. 9m

5a. 6cm                        5b. 7m

6a. 9cm                        6b. 9km

7a. 4km                        7b. 5km

8a. 8km                        8b. 30mm

9a. 70mm                     9b. 3m

10a. 2cm                       10b. 10cm

Answer:

1a:  7,000 m                                                     1b:  10 mm

2a:  1,000 km                                                  2b:  2 m

3a:  6 km                                                         3b:  3 km

4a:  2 km                                                         4b:  9 m

5a:  6 cm                                                         5b:  7 m

6a:  9 cm                                                         6b:  9 km

7a:  4 km                                                         7b:  5 km

8a:  8 km                                                         8b:  30 mm

9a:  70 mm                                                      9b:  3 m

10a:  2 cm                                                       10b: 10 cm

Hope I helped!

The answer step by step

Answers

Remember:

-When multiplying numbers with decimals just forget about the decimals for a second and pretend you are multiplying a 3 digit number times a 2 digit number.

-one digit at a time. Multiply going from right to left.

First:

-Multiply the 3 with the top numbers.

-Pretend you are seeing this:

5.72 (3)

- 2*3=6. 7*3=21. (carry the 2). 5*3 +2=17. (leave the 1).

Second:

-write below and move a digit to the left.

-pretend you are seeing this: 5.72(6).

- 2*6 =12. (carry the 1). 7*6 +1=43. (carry the 4) 5*6+4=34. (leave the 3).

Third: since in the problem the decimal is placed in the hundredths only once, place the decimal in the hundredths as your solution.

Your solution should be 360.36

Twelve is no less Thant he sum of a number n and 3

Answers

Answer:

12 > n+3

Step-by-step explanation:

what are the factors of 2b (3 – c)?

Answers

Answer: 2 , b , (3-c)

Step-by-step explanation:

Given expression : 2b (3 – c)

We know that factors are the expression that gives the givrn or original expression by multiplying it to other expression.

Here , we can factorize the given expression as :

[tex]2\times b\times (3-c)[/tex]

So, the factors of [tex]2b (3 -c)[/tex]  is [tex]2 , b , (3-c)[/tex] as they are making the original expression together .

guys i need help ASAP​

Answers

Answer:

Your answer would be the third set

Step-by-step explanation:

Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6 2. 15.6x − 16.4 = −2.3x + 35.4 3. 17.9x − 16.4 = 35.4 4. 17.9x = 51.8 5. X ≈ 2.89 When Caleb verified his solution, it didn't work. What mistake did he make? In step 1, the distributive property was not used properly on the right side of the equation. In step 2, the like terms were not combined properly on the right side of the equation. In step 3, the addition property of equality was not used properly to isolate the variable term. In step 5, the division property of equality was not used properly to solve for x.

Answers

Answer:

Option B.

Step-by-step explanation:

The given equations is

[tex]7.4x+4.1(2x-4)=-2.3(x-6)-21.6[/tex]

The correct steps to solve the above equation are

1. Using distributive property, we get

[tex]7.4x+8.2x-16.4=-2.3x+13.8-21.6[/tex]

2. Combining like terms, we get

[tex]15.6x-16.4=-2.3x-7.8[/tex]

3. Using addition property of equality, add 2.3x on both sides.

[tex]17.9x-16.4=-7.8[/tex]

4. Using addition property of equality, add 16.4 on both sides.

[tex]17.9x=8.6[/tex]

5. Using division property of equality, divide both sides by 17.9.

[tex]x\approx 0.48[/tex]

In step 2, the like terms were not combined properly on the right side of the equation.  

[tex]13.8-21.6=-7.8\neq 35.4[/tex]

Therefore, the correct option is B.

Answer:

The correct answer is b. In step 2, the like terms were not combined properly on the right side of the equation.

The real number 7/12
belongs to which set of numbers?

1.irrational numbers

2.natural numbers

3.integers

4.rational numbers

Answers

Answer:

7/12 belongs in the category 4

Container a has a maximum capacity of 3 gallons. Container B has a maximum capcity of 14 quarts. How much extra capacity does container B compared to container A

Answers

Answer: 0.5 gallon

Step-by-step explanation:

From the question, we are informed that Container a has a maximum capacity of 3 gallons. Container B has a maximum capcity of 14 quarts.

It should be noted that 4 quarts equals 1 gallon. Therefore, 14 quarts = 14/4 = 3.5 gallons

Container A = 3 gallons

Container B = 3.5 gallons

The difference will be:

= 3.5 gallons - 3 gallons

= 0.5 gallon

Renji owes his parents $204. He pays them back $8.50 every week. How many payments will it take until Renji has paid his parents back fully?

Answers

Answer:

24 payments.

Step-by-step explanation:

$204 divided by $8.50 = 24

The perimeter of the square below is 28.4 cm

3.6x - 1.9

what is the value of X?
find the side length of the square_________cm

Answers

(3.6x - 1.9)4 = 28.4

3.6x -  1.9 = 7.1

3.6x = 7.1 + 1.9

3.6x = 9

x = 9 / 3.6

x = 2.5 (value of x)

3.6(2.5) - 1.9 = 7.1 (side length)

you want to multiply it by 4 because right now its only showing one side. perimeter is all 4 sides combined

Hudson is driving on a long road trip. He currently has 13 gallons of gas in his car.
Each hour that he drives, his car uses up 1 gallon of gas. How much gas would be in
the tank after driving for 2 hours? How much gas would be left after t hours?


Gas left after 2 hrs

Gas left after t hours

Answers

Answer:

There would be 11 gallons of gas left!

Step-by-step explanation:

Answer:

after 2 hours = 11

Step-by-step explanation

what do you mean by t?

please help, thank you :)

Answers

Step-by-step explanation:

Hey, there!

See explanation in picture.

Hope it helps....

Simplify 4 (3 -- 4x​

Answers

Answer:

12-16x

Step-by-step explanation:

4(3-4x)

12-16x

The expression 4 (3 - 4x)​ is simplified as 12 - 16x.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

⇒ 4 (3 - 4x)​

Simplify the expression, then the expression will be

⇒ 4 (3 - 4x)​

⇒ 4 · 3 - 4 · 4x

⇒ 12 - 16x

The expression 4 (3 - 4x)​ is simplified as 12 - 16x.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

Mr. Hull had 2,466 apples. If he gave half to his brother, how many apples would he have left?

Answers

Answer:

1233

Step-by-step explanation:

Divide the total number by 2 because it's half

Look at the graph. On a coordinate plane, a line with negative slope goes through points (0, 2) and (4, 0). To find the rate of change of the function, Kevin did the following: StartFraction 0 minus (negative 1) Over 2 minus 2.5 EndFraction = StartFraction 1 Over negative 0.5 EndFraction = negative 2. What was Kevin’s mistake? He incorrectly chose (–1, 2.5) as a point on the graph. He incorrectly chose (0, 2) as a point on the graph. He mixed up the numerator and the denominator of the fraction. He subtracted –1 from 0 when he should have added –1 to 0.

Answers

Answer:

the answer is c i did the test again and got it right

Step-by-step explanation:

He mixed up the numerator and the denominator of the fraction which is the correct answer would be an option (C)

What is the slope of the line?

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

On a coordinate plane, a line with a negative slope goes through points (0, 2) and (4, 0).

To determine the rate of change of the function,

He incorrectly selected the graph's point at (-1, 2.5).

Given that the graph passes through, Kelvin did not make this error (–1, 2.5)

He picked the wrong spot on the graph, (0, 2).

Given that the graph passes through, Kelvin did not make this error (0, 2)

We have that Kevin’s mistake is

He messed up the fraction's denominator and numerator.

He should have added -1 to 0 instead of subtracting it, which he did.

He cannot make a mistake here because the two are identical.

Hence, He mixed up the numerator and the denominator of the fraction which is the correct answer would be an option (C)

Learn more about Slope of Line here:

brainly.com/question/14511992

#SPJ2

evaluate the expression

Answers

Answer: -5

Step-by-step explanation:

Multilpy  [tex]\frac{1}{4}[/tex] x (-5 + 5 x (3)

Calculate [tex]\frac{1}{4}[/tex] x (-5 - 15)

-[tex]\frac{1}{4}[/tex] x 20

= -5

Answer:

-5

Step-by-step explanation:

1/4 ( -5 + 5(-3))

Using PEMDAS

Multiply inside the parentheses

1/4 ( -5 + -15)

Add inside the parentheses

1/4( -20)

Multiply

-5

Each fork in a store costs $5, and each knife costs $4. If you want to spend exactly $36, write an equation in standard form modeling this situation. Let f represent the number of forks you buy, and k represent the number of knives you buy. If Linda purchases 3 forks, how many knives can she buy?

Answers

Answer:

5.25

Step-by-step explanation:

so our equation would be f(5)+k(4)=36 then since she buys 3 forks we would plug in 3 for f so we get 3(5)+4k=36 which can be simplified to 4k=21 which si 5.25

Bob has three pennies. Betty has three times as many pennies as bob. Bill has three times as many pennies as Betty. Barb has three times as many pennies as bill. Write a power to represent the number of pennies that barb has.

Answers

Answer:

barb has 3⁴ pennies

Step-by-step explanation:

We are told that ;

Bob has 3 pennies = 3

Betty has three times as many pennies as bob = 3 × 3 = 3²

Bill has three times as many pennies as Betty = 3 × 3² = 3³

Barb has three times as many pennies as bill = 3 × 3³ = 3⁴

Thus,barb has 3⁴ pennies

Answer:

3⁴ pennies or 81 Pennies

Step-by-step explanation:

Bob - 3¹

Betty - 3²

bill - 3³

barb - 3⁴

3*3*3*3 = 81

1.2.23
Is Question Help
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $69. A season ski pass costs $300. The skier would have to rent skis with
either pass for $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
The skier would have to go skiing days.

Answers

Answer:

Minimum of 8 days

Step-by-step explanation:

Let's assume the number of days is x

Then we need to compare daily pass vs season pass:

300 + 30x < 69x 69x - 30x > 30039x > 300x > 300/39x > 8 days (using whole number)

So, minimum 8 days is the answer

Need help quick simplify the expression (-4) power of 3

Answers

Answer:

-64

Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

whats the symbol for inf

Answers

Answer:

[tex] \infty [/tex]

Step-by-step explanation:

If you meant infinity, that is the answer, I think you should elaborate on the question

♾ this should be in your emojis just a horizontal 8

Or the past 100 years, the average high temperature on october 1 is 78° with a standard deviation of 5°. what is the probability that the high temperature on october 1 of next year will be between 73° and 83°?

Answers

Answer:

The probability is 0.683

Step-by-step explanation:

To calculate this, we shall be needing to calculate the z-scores of both temperatures

mathematically;

z-score = (x-mean)/SD

From the question mean = 78 and SD = 5

For 73

z-score = (73-78)/5 = -5/5 = -1

For 83

z-score = (83-78)/5 = 5/5 = 1

So the probability we want to calculate is within the following range of z-scores;

P(-1 <z <1 )

Mathematically, this is same as ;

P(z<1) - P(z<-1)

Using the normal distribution table;

P(-1<z<1) = 0.68269 which is approximately 0.683

1. A={all even integers) under multiplication?
2. B={all positive even integers) under averaging?
3. C=fall odd integers) under addition?
4.D={all odd integers) under multiplication?
5. E=fall prime natural numbers) under addition?
6. F={all composite integers) under addition?
7. G={all composite integers) under multiplication?

Answers

Answer and Step-by-step explanation:

1-A= {all even integers} under multiplication?:

Sol: The set of positive integers under multiplication would not form because this set does not contain inverses. And no identity exists in this set. And in the case of negative even integers under multiplication, when we multiply a negative number to another negative number it becomes a positive even integer.

2-B= {all positive even integers} under averaging?:

The average of the integers from 1 to n is (n+1)/2.

Because there is only even numbers so, the formula has to doubled, this formula is used for sequences that increase by 1. So n(n+1)

There are only 1009 even integers between 2 to 2018.

2+2018=2020 and 2020/2=1010

3-C= {all odd integers} under addition:

Sol: the set of odd integers under addition does not form a set because the set of odd integers is not a closed set. Because addition of two odd numbers gives us an even number. And the other reason is that the identity element does not exist in this set. Identity for addition is zero (0) which is an even number.        

                                                                                   

4-D= {all odd integers} under multiplication:

Sol: The set of odd integers say F is not a group under multiplication (.) because the inverse of odd integers does not exist. For example an element m is belonging to odd integer group say F. its inverse (1/m) does not exist in this set. Sometimes it does not have identity.

5- E= {all prime natural numbers) under addition:

Sol: All prime natural numbers are not set under addition because when we add two prime numbers we will not get always a prime number. For example 7+3= 10

7 and 3 are prime numbers but 10 is not a prime number.

6-F= {all composite integers} under addition:

Sol: no, not all composite number under addition form a set because when we add two composite number 15 + 14 = 29, 29 is a prime number.

7-G= {all composite integers} under multiplication:

Sol: yes all composite integers form a set under multiplication because when we multiply any integer to another integer it gives composite numbers. When we multiply prime numbers it gives a composite number.

point A B and C are collinear on AC and AB:BC = 3/4. A is located at (x,y), B is located at (4,1) and C is located at (12,5). what are the values of x and y?

Answers

Answer:

x = -2 and y = -2

Step-by-step explanation:

The expression for calculating the point that divides the coordinate of two endpoints A(x, y) and B (x₁, y₁) in the ratio a:b with point C(X, Y) on the line is as shown below;

[tex]B[/tex][tex](X, Y) =[/tex] [tex](\dfrac{ax_1+bx}{b+a}, \dfrac{ay_1+by}{b+a})[/tex]

Given B(X, Y) = (4, 1), C(x₁, y₁) = (12,5) and AB:BC = a:b = 3/4

From the given coordinates, X = 4, Y = 1, x₁ = 12 y₁ = 5, a = 3 and b =4

From the coordinates above;

[tex]X = \dfrac{ax_1+bx}{b+a}[/tex]

[tex]4 = \dfrac{3(12)+4x}{4+3}\\\\4 = \dfrac{36+4x}{7}\\\\\\4*7 = 36+4x\\28 = 36+4x\\28-36 = 4x\\-8 = 4x\\x = -8/4\\x= -2[/tex]

Similarly to get y;

[tex]1 = \dfrac{3(5)+4y}{4+3}\\\\1 = \dfrac{15+4y}{7}\\\\\\1*7 = 15+4y\\7 = 15+4y\\7-15 = 4y\\-8 = 4y\\y= -8/4\\y= -2[/tex]

Hence the value of x is -2 and y is -2.

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