An office building contains 6,500 square feet of space. Each employee has a cubicle that takes up 100 square feet. The entryway takes up 400 square feet. Which inequality can be used to find the possible number of cubicles?

a
F 100x + 400 ≤ 6,500
b
G 100x + 400 ≥ 6,500
c
H 100x – 400 ≤ 6,500
d
J 400x – 400 ≤ 6,500

Answers

Answer 1

Answer:

100a + 400 ≤ 6500

Step-by-step explanation:

The office building contains 6500 ft² of space. Each employee has a cubicle that  takes up to 100 ft². The entryway also takes up to 400 ft². The inequality that can be use to find the possible number of cubicles is expressed below.

Let

number of employee/cubicle = a

Total space of the office building =  6500 ft²

The entryway has already occupied 400 ft² of the office building space. Each employee has one cubicle which takes up to 100 ft² of the office building space. The space occupied by the cubicle in the office building can be calculated when you multiply the number of cubicle/employee by 100(size of each cubicle) This will be 100 × a = 100a. The total number of space occupied by the cubicles plus the already space taken by the entryway will be less than or equal to the total space of the office building. Therefore,

100a + 400 ≤ 6500

Answer 2

Answer:

100a + 400 ≤ 6500

Step-by-step explanation:

The space occupied by the cubicle in the office building can be calculated when you multiply the number of cubicle/employee by 100(size of each cubicle)


Related Questions

a scale model of a building is 6.5 in tall how tall is the actual building if the scale used for a model 1 inch =150 ft

Answers

Answer:

975

Step-by-step explanation:

6.5 times 150= 975

brainliest em please!

what precent is 3/5 is 9/10 ?​

Answers

Answer:

3/5=60%

9/10=90%

Step-by-step explanation:

:)))))))

Miguel and his brother Ario are both standing 3 meters
from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario's completed meters to Ario's
remaining meters is 1:4.

4.4 meters
7.4 meters
17.6 meters
20.6 meters


Answers

Answer:

B. 7.4

Step-by-step explanation:

The screenshot under the question and I took the test and got a 100. Trust me!

Have a nice day ^_^

The total distance of the race will be 7.4 meters. the correct option is B.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario's completed meters to Ario's remaining meters is 1:4.

The formula for the calculation is given as,

x = ( m ) / ( m + n) ( x₂ - x₁ ) + x₁

x = ( 1 ) / ( 5 ) ( 25 - 3 ) + 3

x = 22 / 5 + 3

x = 4.4 + 3

x = 7.4 meters

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PLEASE HELP!!!!!
Simple answers please

Answers

The answer is 2,1

You have to plug in the y

math help due in 45 sec plzzzzzzzzzz

Answers

Answer:

Equation: 120 - 4.5x = 45 + 0.5x    Solution: 15

Step-by-step explanation:

So we're looking for how many days it will take for both to have the same amount of trees, the solution would be:

= 120 - 4.5x = 45 + 0.5x

= put variables to where it belongs

= 120 - 45 = 0.5x + 4.5x

= 75 = 5x

= 75 / 5x = 15

= x = 15

To confirm:

= 120 - (4.5 * 15) = 52.5

= 45 + (0.5 * 15) = 52.5

:)

What is the slope of the line graphed on the coordinate plane? A graph with a line running through coordinates (-6, -1) and coordinates (6, 2)

Answers

Oh my I learned this today but I am not rlly sure let me see

Tai went to a shopping mall. He spent $25.75 on a shirt, $15.49 on a hat, and $9.95 on a poster, before tax. Tax
was 8.25% on all purchases. What was the total cost of Tai's purchases, including tax?

Answers

Answer: 39.98$

Hope it helped it took me like 10 minutes <3

What is actually true of all numbers and variables?

Answers

Answer: they are all ideas that are mutally agreed on.

Step-by-step explanation:

My math teacher told me this

4.39 repeating as a mixed number in the simplest form

Answers

Answer: 4 and 39/100 is the most farthest in can go in simplest form.

Answer:

It would be 4 39/100.

Please answer the question in the picture.

Answers

Answer:

Yes there is an error

Step-by-step explanation:

Answer:

Yes there is a mistake

Step-by-step explanation:

What is the distance between -13 and 13 on a number line

Answers

Answer:

26

Step-by-step explanation:

Answer:

26 units

Step-by-step explanation:

To find the distance on a number line, take the absolute value of any negative numbers and add.

|-13| + 13

13 + 13

26

Best of Luck!

Use the following diagram to solve this problem.

Answers

Answer:

x = 19EF = 285m∠EDG = 32°

Step-by-step explanation:

EF = FG

9x + 114 = 15x

114 = 15x - 9x

x = 114 / 6

x = 19

Solve EF: substitute x into the equation

EF = 9x + 114

    = 9(19) + 114

    = 285

m∠EDG = 32°

can somone ple show me how to get the answer?? plz​

Answers

Answer:

Step-by-step explanation:

slope intercept form is y = mx + b

[tex]y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1} = \frac{-2-4}{5} = \frac{-6}{5}\\ y = \frac{-6x}{5} + b\\4 = \frac{-6(0)}{5} + b\\b = 4\\y = \frac{-6}{5}(x)+4[/tex]

what is -10 = xy + z for x

Answers

-10=xy+z

-10-z=xy

(-10-z)/y = x

Answer:

It would be -10/y - z/y.

Geometry Application. The perimeter of a square is 36 inches. Write and solve an equation to find the length of each side of the square. (Hint: Remember that the perimeter is the distance around a figure.)​

Answers

Answer:

144

Step-by-step explanation: simple do 36x4 which equals 144. the for comes from all sides of the shape

36/4 becuase 4 the 4 sides of the square. so the side is9

3(t–8)=9 in word form

Answers

Answer:

t=11

Word form: three with a parenthesis of t minus three equals nine.  T equals eleven

Penelope likes to drink flavored water by adding flavor enhancers. She likes to mix 0.5 teaspoon of flavor enhancers for every 8 fluid ounces of water. Below are several flavored water mixtures made by Penelope's friends.

Answers

Answer

Step-by-step explanation:

i hope this helps

Ursula is making treasure boxes for campers. There are 12 younger campers, and each of their boxes contains 4 prizes. There are 10 older campers, and each of their boxes contains 6 prizes. Drag the tiles to complete an expression to represent how many prizes Ursula needs in all. Tiles may be used once or not at all.

Answers

Answer:

[tex](12 * [4])[+](10 * [6])[/tex]

Step-by-step explanation:

The box is given as: [+] [*] [4] [6] [10] [12]

                                   (12 * [])[](10 * [])

The above is missing in your question.

Required

Complete the box

First, we need to determine the prizes for the younger ones.

[tex]Prizes = 12 * 4[/tex]

Where

[tex]12 = Younger\ Ones[/tex]

[tex]4 = Prizes[/tex]

Then, we determine the prizes for the older ones.

[tex]Prizes = 10 * 6[/tex]

Where

[tex]10 = Older\ Ones[/tex]

[tex]6 = Prizes[/tex]

Add these two expression to give total.

[tex]Total = 12 * 4 + 10 * 6[/tex]

By comparison, the tiles can be completed as thus:

[tex](12 * [4])[+](10 * [6])[/tex]

In △ABD, BG=30 in.. What is the length of BE⎯⎯⎯⎯⎯? Enter your answer in the box. in. Triangle A B D with point G inside the triangle. A line segment begins at point B, intersects point G, and intersects the exact middle of side A D at point E. A second line segment begins at point A, intersects point G, and intersects the exact middle of side B D at point C. A third line segment begins at point D, intersects point G, and intersects the exact middle of side A B at point F.

Answers

Answer:

45cm

Step-by-step explanation:

Answer:

45

explain answer here:

well i just took the test..... love ya !!

hope u get a good grade !!

Can someone please help? I'm stuck

Answers

Answer:

sure .... ok since the store just bought 14 sweaters for 154$. that is 11$ for each sweater. but the store sells it for 448$ all 14 of them.. so the question is how much profit does the store make PER sweater. well... it makes about 32$ per sweater. since i just had to divide 448 /14

hope this helps!!! have a great day!!

Kyra is participating in a fundraiser walk-a-thon. She walks 2 miles in 30 minutes. If she continues to walk at the same rate, determine how many minutes it will take her to walk 7 miles.

Answers

Answer:

105 minutes

Step-by-step explanation:

The rate for Kyra =

2 miles = 30 minutes

7 miles = x

Cross Multiply

2x = 7 × 30

x = 210/2

x = 105 minutes

Answer:

150

Step-by-step explanation:

is quadrilateral ABCD congruent to quadrilateral klmn?​

Answers

No because they although have the same shape but they have different sizes

A quadrilateral ABCD is not congruent to quadrilateral KLMN.

What is congruent?

"When two geometrical shapes are identical in shape and size are known as congruent."

What is quadrilateral?

"A quadrilateral is a closed geometrical shape that has four sides, four vertices and four angles."

For given question,

If we rotate quadrilateral ABCD by 90° then it would be identical in shape to quadrilateral KLMN. But both the quadrilaterals differ in size.

Therefore, quadrilateral ABCD is not congruent to quadrilateral  KLMN.

Learn more about congruence here:

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In the figure below, lines that appear to be parallel are parallel. Solve for a, b, and c.

Answers

Answer:

a = 55

b = 13

c = 8

Step-by-step explanation:

2a - 5 = 105° (alternate exterior angles are congruent)

Add 5 to both sides

2a - 5 + 5 = 105 + 5

2a = 110

Divide both sides by 2

2a/2 = 110/2

a = 55

(2a - 5) + (5b + 10) = 180° (consecutive interior angles/same side interior are supplementary)

Plug in the value of a

2(55) - 5 + 5b + 10 = 180

110 - 5 + 5b + 10 = 180

Add like terms

115 + 5b = 180

Subtract 115 from each side

115 + 5b - 115 = 180 - 115

5b = 65

Divide both sides by

5b/5 = 65/5

b = 13

10c - 5 = 5b + 10 (corresponding angles are congruent)

Plug in the value of b

10c - 5 = 5(13) + 10

10c - 5 = 65 + 10

10c - 5 = 75

Add 5 to both sides

10c - 5 + 5 = 75 + 5

10c = 80

Divide both sides by 10

10c/10 = 80/10

c = 8

daniel earns extra money as a lifeguard he earns 37 dollars for 4 hours and 64.75 for 7 hours. the relationship between his earnings and the time worked is proportional true or false?​

Answers

To find out if it’s proportional or not, you will have to divide 37/4 and then divide 64.75/7 and if you get the same answer then they are proportional and it’s true.

37/4 is 9.25 and 64.75/7 is 9.25 so therefore they ARE Proportional and your answer is TRUE.

Hopefully I have answered your question properly! :)

Pls helppp ASAP I have more I will post

Answers

Answer:

94/45

Step-by-step explanation:

Help me please someone ?!!!!??!?

Answers

Answer:

I'd say its 39 degrees, not much to go off from other than the straight line would equal 180

Answer:

39

Step-by-step explanation:

x + 141° = 180° (co interior angles are equal)

x = 180° - 141°

x = 39°

25
A classrom contain children, out of which bare
girls, what percentage of the class are
boy​

Answers

Answer:

76%

Step-by-step explanation:

number of girls is 6

number of boys is 25-6=19

percentage of boys = number of boys ÷ total no of students * 100

so... (19÷25)*100=76%

The number of loaves of bread that can be baked is proportional to the amount of flour used. The table below models the amount of flour needed for a given number of loaves of bread.

Answers

The missing one’s answer is 3 loaves of bread.
Dividing the flour in cups by 5 gives us how many loaves can be made.
15 / 5 = 3

Which expression is equivalent to StartRoot StartFraction 1 minus cosine (10 x) Over 2 EndFraction EndRoot?

Answers

The correct option is sin5x.

What is identity?

An equation that is true no matter what values are chosen is called identity.

Given that, √(1-cos10x) / 2

Using identity,

√(1-cosx) / 2 = sinx/2

We get,

√(1-cos10x) / 2 = sin5x

Hence, the correct option is sin5x.

Learn more about identities, click;

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Answer:

C

Step-by-step explanation:

on edge

NEED HELP ASAP WILL GIVE BRAINLYEST

Answers

Answer:

1.-8

2.19

3.-7

Step-by-step explanation:

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