5! The office needs cabinets. The price for the first type of cabinet is $10, it
needs 6 ft2 of floor space, and it has a storage volume of 8 ft. The price
for the second type of cabinet is $20, it needs 8 ft? of floor space, and it
has a storage volume of 12 ft. The company wants to spend no more
than $140 and the office can hold up to 72 ft2 of cabinets. How can the
storage volume be maximized?​

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of 6 ft² to be purchased and y represent the number of 8ft² cabinet to e purchased.

x > 0 and y > 0

6 ft² cabinet cost $10 and 8 ft² cabinet cost $20, only $140 is available to spend, therefore the cost equation is:

10 x + 20 y  ≤ 140

Also the office can hold only 72 ft², the space equation is:

6x + 8y ≤ 72

The volume equation is:

V = 8x + 12y

From the graph attached, we have to find the point with maximum volume by testing the point (12, 0), (0,7) , (8,3)

For (12, 0): V = 8(12) + 12(0) = 96 ft³

For (0, 7): V = 8(0) + 12(7) = 84 ft³

For (8, 3): V = 8(8) + 12(3) = 100 ft³

The (8,3) point has the maximum volume. That is 8 6 ft² cabinet and 3 8ft² cabinet

5! The Office Needs Cabinets. The Price For The First Type Of Cabinet Is $10, Itneeds 6 Ft2 Of Floor

Related Questions

A certain antihistamine is often prescribed for allergies. A typical dose for a 100​-pound person is 19mg every six hours. Complete parts​ (a) and​ (b) below. Following this​ dosage, how many 13.2mg chewable tablets would be taken in a​ week? A​ 100-pound person could take ____ tablets in a week. ​(Round to the nearest whole number as​ needed.)

Answers

Answer:

40 tablets

Step-by-step explanation:

What we want to do is find how many mg of antihistamine you can take in a week.

If you can take 19mg in 6 hours, that means you can take [tex]19\cdot4=76[/tex]mg per day (because [tex]24\div6=4[/tex], so you can take 19mg every 6 hours 4 times in a day.)

There are 7 days in a week, so you can take [tex]76\cdot7=532[/tex] mg per week.

Now, we know how many mg of antihistamine you can take per week. If we take antihistamine in increments of 13.2mg, then the total amount of tablets we can take per week is going to be [tex]532\div13.2[/tex], which is approximately equal to 40.

So you can take 40 tablets in a week if you are 100 pounds.

Hope this helped!

Answer:

Step-by-step explanation:

b. A​ 100-pound person could take

 

enter your response here mL in a week.

​(Round to the nearest whole number as​ needed.)

Find the quotient for 12 ÷ (-4).

Answers

Answer: -3

Step-by-step explanation: To divide 12 by -4, remember that a

positive divide by a negative is a negative.

So (12) ÷ (-4) is -3.

Determine whether set B is a subset of A.
7. A = {2, 3, 5, 7, 11}
B = {3, 5, 7, 9, 11)

Answers

Answer:

Set  B is not a subset of A.

Step-by-step explanation:

If there are sets, A and B with some elements, then B can be called subset of A, if every element of B is present in set A.

Example.

Example

A is set of integers

B is set of natural numbers

we know set of integers is all the negative numbers, 0 and all the positive discrete numbers like

A = {......-3,-2,-1,0,1,2,3,4........}

B is set of positive discrete numbers from 1 to infinity)

B =  {1,2,3,4........}

Thus, we see every element of B is present in A . Hence B is subset of A

___________________________________________

Given

A = {2, 3, 5, 7, 11}

B = {3, 5, 7, 9, 11)

Here,

In set B . elements 3,5,7,11 are present in set A, but

Element 9 from set B is missing Set A.

Since, every element of Set B is not present in set A hence

Set  B is not a subset of A.

...........................

Answers

Answer:

x= 88

Step-by-step explanation:

Which set of data is displayed in the box plot below?

Answers

Answer:

It would tske to long for me to break it down but my best bet is B

Step-by-step explanation:

What is the simplified form of the expression below? (6 + 7b) + 14

Answers

Answer: 20+7b

Step-by-step explanation:

Given

 (6+7b)+14

Take off parentheses

=6+7b+14

Move like terms together (Commutative property)

=6+14+7b

Combine like terms

=20+7b

Hope this helps!! :)

Please let me know if you have any question

Answer:

[tex]\huge\boxed{ answer}[/tex]

[tex]\blue\star[/tex]6 + 7b + 14 = 0

[tex]\blue\star[/tex]7b + 20 = 0

[tex]\blue\star[/tex]7b = - 20

[tex]\blue\star[/tex]b = -20\7

[tex]\star[/tex]simplified form

[tex]\blue\star[/tex](6 + 7b) +14

firstly remove the brackets.

[tex]\blue\star[/tex]6 + 7b +14

seprate terms and variables

[tex]\blue\star[/tex] 7b +20

[tex]\huge\boxed{7b + 20}[/tex]

Hope it helps..

which function below is the Inverse of f(x)= 7x-1/2​

Answers

Answer:

[tex]f-1(x)= \frac{x}{7} +\frac{1}{14}[/tex]

Step-by-step explanation:

If we have y=7x-1/2, the inverse is where we solve for x instead of y.

We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.

Therefore,[tex]f-1(x)= \frac{x}{7} +\frac{1}{14}[/tex]

Hope that helped,

-sirswagger21

A spinner had 5 equal sections, labeled A through E. After 100 spins, the spinner had landed on section A a total of 45 times.

Answers

Where’s the question?

On 0.05 percentage of the spins did the spinner land on 2, according to the question.

How do you calculate the value?

For spins using the spinner geometry: Shape. Spinners are in the same category as dice. Spinners, in essence, give unpredictability to the creation of numbers, colors, or objects. It can be used in place of dice and vice versa to create numbers. IT may be used in a gaming scenario in the same manner that dice can be used to produce movements.

In 100 Spins it lands on 2 a total of 5 times

Therefore, it’s 5/100×100%

= 5%

So, the Answer is 5. So 5% .

To convert a percentage to a decimal, divide by 100. So 5% is 5/100, or 0.05. To convert a decimal to a percentage, multiply by 100 , move the decimal point 2 places to the right.

To learn more about Spin times, to refer:

brainly.com/question/22309374

#SPJ3

Point S is on line segment \overline{RT}
RT
. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.
ST
.

Answers

The value of ST is 8.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

Given:

ST=5x-7, RT=4x+9, RS=2x+7

So,

RS + ST = RT

2x +7  + 5x -7 = 4x+9

7x = 4x +9

3x= 9

x=3

So,

ST= 5x-7 = 5*3 -7= 15-7= 8

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Write each statement as a decimal to two decimal places. $6.00 to 95 cents = 3 hours to 35 minutes = 42 inches to 2 feet = (Hint: there are 12 inches in 1 foot.)

Answers

Answer/Step-by-step Explanation:

The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.

1. $6.00 to 95 cents:

This is same as $6.00 : 95 cents = [tex] \frac{6.00}{95} [/tex]

Convert $6 .00 to cents to make both quantities be in the same unit.

$1 = 100 cents

$6.00 = 6*100 = 600 cents

[tex] \frac{600}{95} = 6.32 [/tex] (to 2 d.p)

2. 3 hours to 35 minutes:

Convert 3 hours to 35 mins

1 hr = 60 mins

3 hrs = 3*60 = 180 mins

[tex] 180mins : 35 mins = \frac{180}{35} = 5.14 [/tex] (2 d.p)

3. 42 inches to 2 feet:

Convert 2 ft to inches

1 ft = 12 inches

2ft = 2*12 = 24 inches

[tex] 42 in:24 in = \frac{42}{24} = 1.75 [/tex]

Find the opposite of the given number. -18.6

Answers

Answer:

18.6

Step-by-step explanation:

Answer:

opposite of -18.6=18.6

What type of number is -44.1?

Answers

negative number but to be specific it’s a negative decimal

Answer:

-44.1 is a real and complex number

Step-by-step explanation:

Donte is planning on repairing bikes and skateboards to save up money for
college. He can repair up to 2 bikes per day and 4 skateboards per day. If b
represents the number of bikes and s represents the number of
skateboards, write the expression that represents the total number of
things Donte can repair in a single day. *​

Answers

Answer:

y=2b+4s

Step-by-step explanation:

Please Help! The base of a triangular prism has a base rent of 7 feet and a height of 3 feet the prism is 4 feet tall a second larger prism has dimensions that are three times the dimensions of the small prism what is the difference between the volumes of the two prisms?

Answers

Answer: 1092

Step-by-step explanation:

Answer:

1092

Step-by-step explanation:

When did the United States first start to consider adopting the metric system?

Answers

Answer:

1866

In 1866, the U.S. Congress authorized the use of the metric system and almost a decade later America became one of 17 original signatory nations to the Treaty of the Meter. A more modern system was approved in 1960 and is commonly known as SI or the International System of Units.

Answer:

1893

Step-by-step explanation:

In 1893, metric standards, developed through international cooperation under the auspices of BIPM   please mark brainliest :)

please help me with this *the answer i has typed (5^11) is incorrect

Answers

Answer:

[tex]-5^{11}[/tex]

Step-by-step explanation:

It would actually be [tex]-5^{11}[/tex] since it is a negative 5

Answer:

( -5) ^ 11

Step-by-step explanation:

( -5) ^5

-------------

( -5) ^ -6

Since we are dividing, we subtract the exponents

(-5) ^ ( 5 - -6)

(-5) ^ (5+6)

( -5) ^ 11


Flag this Question
Question 11 pts
Is the value of the 1 in 1,440,000 10 times as great as the value of the 4 in the hundred thousands place? Explain




Answers

Answer:

Yes

Step-by-step explanation:

The answer is yes because 1,000,000 ÷ 100,000 = 10.

A snail travels 820 mm in 0.75 minutes. What was his speed in m/s?

Answers

Answer:

speed in m/s=0.01822 metre/s

Step-by-step explanation:

Conversation rate of mm to m is

1000 mm = 1 metre

820 mm= 820/1000

829 mm= 0.82 metres

Conversation rate of minutes to second

I minute = 60 seconds

0.75 minute = 60*0.75 seconds

0.75 minute= 45 seconds

speed in m/s= 0.82 metres/45 seconds

speed in m/s= 0.82/45

speed in m/s=0.01822 metre/s

( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 ) A) 5n 4 + 11n 3 B) 5n 4 + 11n 3 + 2 C) 4n 4 + 11n 3 + 2 D) 4n 4 + 19n 3 + 2

Answers

Answer:

i got 53 n

Step-by-step explanation:

could be wrong but try lol

Brainliest!
Divide
18198
--------
27
A.518
B.608
C.674
D.689

Answers

Answer:C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

27)18198(674

    162

  -

    --------

     199

     189

   -

    ---------

        108

        108

      -

         

       ------

          0

        ------

write as an equation: 1/3 of a shipment of books weights 28 pounds

Answers

Answer:

x=28 (pounds) * 1/3

Step-by-step explanation:

28/3 gives you 1/3 of the shipment weight.

Which of the following are acceptable weights?
13.5oz
13.8oz
14.15oz
14.2oz
14.3oz

Answers

Answer:

13.8   14.15   14.2

Step-by-step explanation:

Edge 2020

~theLocoCoco

Answer: b, c & d !

Step-by-step explanation:

Please choose one to answer. Thanks of finished all 3 questions BRILLIANT! I give you Braingood thing

Answers

Answer:

Step-by-step explanation:

11.a=6

b=3

PLEASE HURRY I ONLY HAVE 5MIN TO TURN IT IN!!! A new television set was recently purchased for a common Room and a resident Hall for $446.90 including tax. If the tax rate is 9%, find the price of the television set before taxes.

Answers

Answer:

The price of the tv before tax is 410

Step-by-step explanation:

Let x = price of tv before tax

tax = x*  9%

tax = .09x

The total cost is price of tv before tax plus tax

total cost = x + .09x

total cost = 1.09x

446.90 = 1.09x

Divide each side by 1.09

446.90/1.09 = 1.09x/1.09

410 = x

The price of the tv before tax is 410

The two-way frequency table below shows data on type of vehicle driven and whether there was a speeding ticket in the last year for customers of All American Auto Insurance. Complete the following two-way table of row relative frequencies. (If necessary, round your answers to the nearest hundredth.) Sport utility vehicle (SUV) Sports car Speeding ticket within the last year 282828 353535 No speeding ticket within the last year 979797 104104104 Sport utility vehicle (SUV) Sports car Row total Speeding ticket within the last year 1.001.001, point, 00 No speeding ticket within the last year 1.001.001, point, 00

Answers

Answer:

Step-by-step explanation:

Given frequency table is,

                                                     Sport utility vehicle     Sports car    Row total

Speeding ticket within last year                 28                          35              63    

No Speeding ticket within last year           97                         104              201

Now relative frequency table will be,

                                                      Sport utility vehicle     Sports car    Row total

Speeding ticket within last year           [tex]\frac{28}{63}=0.44[/tex]                 [tex]\frac{35}{63}=0.56[/tex]         [tex]\frac{63}{63}=1[/tex]  

No Speeding ticket within last year     [tex]\frac{97}{201}=0.48[/tex]                [tex]\frac{104}{201}=0.52[/tex]        [tex]\frac{201}{201}=1[/tex]

Answer:

The answer above is wrong. This is the correct one(the picture)

Step-by-step explanation:

What is the simplest form of this expression? -b^3 (3b + 1) – 2b^4​

Answers

Answer:

-5b^4 - b^3

Step-by-step explanation:

-b^3 (3b + 1) – 2b^4​

Distribute

-3b^4 - b^3 -2b^4

Combine like terms

-5b^4 - b^3

What is the area of the parallelogram?

Answers

70 cm

a parrallogram is a square of sorts, so just take the base times the height divided by two for the triangle portion than multiple by 2 to get rhe same answer back because those two triangles make a square

Help! Please what’s the answer

Answers

Answer:

837 sq. ft

Step-by-step explanation:

area of garden = area of rectangle + area of semicircle

area of rectangle = 20 X 34 = 680 sq. ft

area of semicircle  = 1/2 X 3.14 X 100 = 157 sq.ft

area of garden = 837 sq. ft

i am 1 brainly away from virtuoso, your help would be appreciated

Cellular phone service that charges per minute will charge $35 for 220 minutes. How much would 753 minutes cost?

Answers

Answer:

$119.795  (aprox)

Step-by-step explanation:

Proportions:

$35  ⇔ 220 minutes

$C  ⇔  753 minutes

C = 753*35/220

C = $119.795    aprox.

Martin is buying 400 video games for his entertainment store it's video game cost $20 which of the following could be used to find the total amount he will pay for the video games .​

Answers

Answer:

What are the following??

Step-by-step explanation:

Imma try to help tho

soo like 20$ per game and like 400 games

thats 20$*400=8,000 dollars

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