The area of a room is roughly 9∗10^4 square inches. If a person needs a minimum of 2.4∗10^3 square inches of space, what is the maximum number of people who could fit in this room

Answers

Answer 1

Answer:

37

The maximum number of people who could fit in this room is 37

Step-by-step explanation:

Given;

The area of a room A = 9 × 10^4 square inches

Minimum Area needed per person M = 2.4×10^4 square inches

The maximum number of people who could fit in this room is;

N = The area of a room A/Minimum Area needed per person M

N = A/M

Substituting the values;

N = 9×10^4 ÷ 2.4×10^3

N = 37.5

Since we can not have a 0.5 person, the number would be approximated down to nearest lower whole number.

N = 37

The maximum number of people who could fit in this room is 37


Related Questions

Can I get help with this?

Answers

Answer:

120°

Step-by-step explanation:

The intercepted arc MN is twice the measure of the inscribed angle NLM

arc MN =2 × 60° = 120°


PLEASE HELP MEEEEEEE THANK YOU
Choose the best answer: The solution of ? includes the entire line y = 2x + 1.


y 2x + 2

y 2x + 1

y < 2x

y 2

Answers

Answer:

the correct one is y < 2x

Step-by-step explanation:

Answer:

y  2x + 1 or B

Step-by-step explanation:

thats whats right on edge

I, myself self am not too good at Sin, Con, and Tan so I could use some help on double-checking if this is correct??

Answers

Answer:

[tex] \tan(a) = \frac{28}{45} [/tex]

look from the tan A angle , the opposite is 28 and adjacent is 45

given that2025=
[tex] {3}^{k \times } {5}^{t} [/tex]
state the values of k and t​

Answers

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = [tex]3^{4}[/tex] × 5², that is

[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2

Aria and her children went into a bakery and will buy donuts and brownies. She must buy at least 6 donuts and brownies altogetherWrite an inequality that would represent the possible values for the number of donuts purchased, d, and the number of brownies purchased, b.

Answers

Answer:

Inequality for donuts and brownies is;

d ≥ 1 ≤ b

Step-by-step explanation:

We are told that aria will buy donuts and brownies.

We are also told that, number of donuts is d while number of brownies is b.

We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.

So the inequality will be;

d + b ≥ 6

Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b

Answer: d+b≥6 is the correct answer trust me

what is( 7^4 * 9^-3 +7^5 * 9^-4) / 7^4 * 9^-4

Answers

Answer:

3.7168917E-7

Step-by-step explanation:

Answer:

3.7168917E-7

Step-by-step explanation:

please help me for the brainliest answer

Answers

Answer:

aₙ= -2n²

Step-by-step explanation:

Solution 1:

The sequence:

-2, -8, -18, -32, -50

The difference between the terms:

-6, -10, -14, -18a₁= -2a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)...aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²

As per above, the nth term is: aₙ= -2n²

Solution 2

The sequence:

-2, -8, -18, -32, -50-2*1, -2*4, - 2*9, -2*25-2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²aₙ= -2n²

Plllllllllllease heeeeelp

Answers

Answer:

SA = 967.6 cm²

Step-by-step explanation:

Surface Area of cylinder = [tex]2\pi r h + 2\pi r^2[/tex]

Where r = 7 cm, h = 15 cm

=> SA = 2(3.14)(7)(15)+2(3.14)(7)²

=> SA = 659.7 + 2(3.14)(49)

=> SA = 659.7 + 307.9

=> SA = 967.6 cm²

Answer:

967.12 cm^2

Step-by-step explanation:

To find surface area of cylinder:

Find area of cross section x 2 = pi x r ^2 = 153.86 x 2 = 307.72cm^2

Area of curved surface = 3.14 x 14 x 15 = 659.4 cm^2

Total Surface Area = 659.4 + 307.72  = 967.12cm^2

Hope this helps

On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?

Answers

Answer:

Christian made $191.25 and Kenneth made $127.50 each.

Step-by-step explanation:

With each dog, you multiply how many dogs with the amount of cash they get each dog.

Christian: 15x12.75= $191.25

Kenneth: 10x12.75= $127.50

So you just multiply the amount of dogs with money :)

Una casa de ropa tiene todos sus artículos en liquidación por cambio de temporada. El cartel de la puerta dice: 20% de descuento. Cuánto tendrá que pagar una persona que gastó $3500? Y alguien que gastó $8000

Answers

Answer:

$2,800 and $6,400

Step-by-step explanation:

Aquí, sabemos que hay un 20% de descuento en compras.

Entonces, para una persona que compró cosas por valor de $ 3,500, el monto que debe pagar será; 20/100 * 3500 = $ 700

Entonces, la cantidad a pagar = 3500-700 = $ 2,800

Para la persona que compró $ 8000, monto a pagar = 20/100 * 8,000 = $ 1,600

Cantidad a pagar = 8000-1600 = 6400

What is the product of 6x – y and 2x – y + 2?

Answers

Answer:

12x^2 - 8xy + y^2 + 12x - 2y

Step-by-step explanation:

Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.

Answers

Answer:

280 ft2

Step-by-step explanation:

The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.

The area of one of these rectangles is:

[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]

Then, the area of the seven rectangles is:

[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]

So the lateral area of this prism is 280 ft2.

Election Three candidates run for an office in a local election. In all, 12,936 votes
are cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.​

Answers

Answer:

3234

4312

5390

Step-by-step explanation:

3x +4x + 5x = 12936

12x = 12936

Find the area of a triangle that has a base of 6 foot in the height of 5 foot

Answers

Answer:

15 ft²

Step-by-step explanation:

Area of a Triangle Formula: 1/2bh

We are given b and h. Simply plug them in and calculate:

1/2(5)(6)

3(5)

15

Given the diagram below, what is cos(45") ?
A. 22
B.
C.
V2
D. 4,2

Answers

Square root of 2 divided by 2

Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°

Answers

 

[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]

.

[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]

 

 

Which point is in Quadrant IV?

Answers

Answer:

1,1 or -1,3

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

bottom right quadrant is IV

Which shows the numbers One-tenth, 0.9, Three-tenths in order from least to greatest?

One-tenth, Three-tenths, 0.9
0.9, Three-tenths, One-tenth
0.9, One-tenth, Three-tenths
Three-tenths, 0.9, One-tenth

Answers

A
If you put them all into decimal form you get .1, .3, .9

Answer:

Its A sorry im late

Quicklkkkkkkkk If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t2 + 6t + 4. Round your answer to the nearest hundredth. 0.72 0.65 0.35 0.27

Answers

Answer:

Since time can't be negative, the only possible solution is 0.72 s.

Step-by-step explanation:

When the ball hits the ground its height is equal to 0, so we must find a value for "t" that results in h = 0. We have:

[tex]-16*t^2 + 6*t + 4 = 0\\t_{1,2} = \frac{-6 \pm \sqrt{(6)^2 - 4*(-16)*(4)}}{2*(-16)}\\t_{1,2} = \frac{-6 \pm \sqrt{292}}{-32}\\t_{1,2} = \frac{-6 \pm 17.1}{-32}\\t_1 = \frac{-6 -17.1}{-32} = 0.72\\t_2 = \frac{-6 + 17.1}{-32} = -0.35\\[/tex]

Since time can't be negative, the only possible solution is 0.72 s.

Answer:

.72

Step-by-step explanation:

I got it right on the test!!!

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

Answers

Answer:

([tex]\frac{2}{3} , \frac{1}{5}[/tex])

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

Which equation is parallel to the line y=2x+6 and passes through the point (8,1)?
y = 2x+6

y = 2x-15

y = 2x+10

y = -2x-7

Answers

The answer is y = 2x - 15

The equation of a line is y = mx +c

m = slope

c = y intercept

From this equation y=2x+6

m = 2

Since the lines are parallel their gradients are also the same

Equation of the line using point (8,1) is

y - 1 = 2(x-8)

y - 1 = 2x - 16

y = 2x - 15

Hope this helps

Answer: y=2x-15

Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15

Help If anyones awake

Answers

Last option is the correct answer

Answer:

ASA Postulate

Step-by-step explanation:

[tex] In\: \triangle TKS\: \& \: \triangle TLR\\

\angle 1 \cong \angle 2....(given) \\

TK \cong TL... (given) \\

\angle 3 \cong \angle 4....(given) \\

\therefore \triangle TKS\: \cong \: \triangle TLR.. (ASA \: Postulate) \\[/tex]

Answer:

First option is the correct choice.

Step-by-step explanation:

AAS theorem applies here to prove the claim.

Best Regards!

Points $A(-1, -2)$ and $B(3, 2)$ are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of $\pi$.

Answers

Answer:

8 pi square units

Step-by-step explanation:

AB=V[3-(-1)]^2+[2-(-2)]^2=V16+16=V4^2*2=4V2

radius =4V2/2=2V2

Area=pi*(2V2)^2=8pi square units

Use slope-intercept form, y = mx + b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes through the point (3, –5). b = What is the new equation written in slope-intercept form?

Answers

Answer:

y = 6x - 23

Step-by-step explanation:

Step 1: Write out known variables

y = 6x + b

Step 2: Find b

-5 = 6(3) + b

-5 = 18 + b

b = -23

Step 3: Write it all out

y = 6x - 23

And we have your equation!

Answer:

here is the answer from edge

Step-by-step explanation:

3 quarts but in cups

Answers

Answer:

12 cups

Step-by-step explanation:

there are 4 cups in 1 quart.  You multiply both of them by 3 so there are 12 cups in 3 quarts

Answer:

12 cups

Step-by-step explanation:

1 quart = 4 cups

4*3 = 12

12 cups

brainliest??

What is the area of the real object that the scale drawings models? I just need someone to explain how to get the answer but I already answered the right one but I guessed.

Answers

Answer:

360

Step-by-step explanation:

You could pretend that the smaller shape has sides 5 and 8, because 5x8=40.

The side 5 would be 15, and the side 8 would be 24.

15x24=360

Answer:

360

Step-by-step explanation:

sorry if wrong I just had this question but it doesn't let me see if I got answer right or wrong ever lol

Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15%
and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
OA. 135 square feet
OB. 125 square feet
OC. 127 square feet
OD. 133 square feet

Answers

Answer:

127

Step-by-step explanation

Which ordered pair is a solution of the equation y-4=7(x-6)
Only (5,4)
Only (6,5)
Both
Neither

Answers

Answer:

first we will check if the coordinate (5,4) is a solution:

you fill in only the X-coordinate (or the y-coordinate). I fill in 5 for X:

y-4 = 7(5-6)

now we have to work this out like:

y-4 = 7 • -1

y -4 = -7

y = -3 if the coordinate was the solution for the y-coordinate the answer should be 4 but it isn't so coordinate (5,4) isn't a solution.

the same goes for coordinate (6,5):

y-4 = 7 (6-6)

y-4 = 0

y = 4 if the coordinate was the solution for the y-coordinate the answer should be 5 but it isn't so coordinate (6,5) isn't a solution.

so the answer is neither

Answer:

Neither

Step-by-step explanation:

Simplify the given equation.

y - 4 = 7(x - 6)

y - 4 = 7x - 42

y = 7x - 38

Now, take the point (5, 4) and test to see if this is a solution.

y = 7x - 38

4 = 7(5) - 38

4 = 35 - 38

4 ≠ -3

Since that point did not prove to be true, answer choices A and C are cancelled out.  Take point (6, 5) and test it.

y = 7x - 38

5 = 7(6) - 38

5 = 42 - 38

5 ≠ 4

Neither points provide a solution so D is the answer.

Which is the graph of the function f(x) = -√x

Answers

Answer:

1st Graph

Step-by-step explanation:

Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.

ditermine the maximum value of y=2x^2-36x+130

Answers

Answer:

dsffoppo

Step-by-step explanation:

sg785 suuwooo

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