A furniture manufacturer produces chairs and sofas. Each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. The manufacturer has 300 yards of fabric available. To fulfill orders, the number of sofas must be at least twice the number of chairs. The manufacturer earns a profit of $50 on each chair and $80 on each sofa. Let x represent the number of chairs and y represent the number of sofas. Choose the function that represents the manufacturer's profit, P.

Answers

Answer 1

Given:

Fabric required for each chair = 10 yards

Fabric required for each sofa = 20 yards.

Total available fabric = 300 yards.

The number of sofas must be at least twice the number of chairs.

Profit on each chair = $50

Profit on each sofa = $80.

To find:

The function that represents the manufacturer's profit, P.

Solution:

Let P represents the manufacturer's profit, x represent the number of chairs and y represent the number of sofas.

Profit on 1 chair = $50

Profit on x chairs = $50x

Profit on 1 sofa = $80

Profit on y sofas = $80y

Total profit = Profit on x chairs + Profit on y sofas

[tex]P=50x+80y[/tex]

Therefore, the required profit function is [tex]P=50x+80y[/tex].

Answer 2

Answer:

B on edge

Step-by-step explanation:


Related Questions

Pls help will give brainilist

Answers

your answer is 416 inches squared

because base times height equals area

hope this helps:)
brainliest?

Answer:

its 416inches

Step-by-step explanation:

please mark me as brainliest thank you

PLEASE HELP ME ASAP. ILL GIVE A LOT OF POINTS AND BRAINLIEST IF YOU ANSWER ALL 3 TRUE OR FALSE QUESTIONS CORRECTLY PLEASE THANK YOU

A) Slope=8 True or False?
B) Unit Rate= $8/hour True or False?
C) The equation of this relationship is y= 1/8x True or False?

Answers

Answer:

A. I Think False

B. True

C.True

Step-by-step explanation:

Which equation represents a line that passes through (2, ) and has a slope of 3?
O y-2= 3(x +)
O y-3=2(x +)
Oy+= 3(x-2)
O y+=2(x–3)

Answers

Answer:

y - 3 = 2 (x + 1/2)

Step-by-step explanation:

y= mx + b

M is your slope and B is your y-intecept.

Hope this helped!! <3

Jim keeps track of his driving so that he can take a tax deduction. Jim drove 450 miles last month, in comparison to 261 miles this month. By what percent has his monthly driving decreased?

Answers

Answer:

42% decrease

Step-by-step explanation:

To get the percent increase or decrease, subtract 450 by 261 to get 189. Then divide this by 450 to get 0.42. Multiply this by 100 to get a 42 percent decrease.

Students are selling candy bars to raise money for a class trip. The number of candy bars sold image, and the amount of money raised image, in dollars, are shown in the table below.


B E
5 $6.50
8 $10.40

Which equation represents the relationship between image and image?

A.
e=0.77b

B.
e = 1.3b

C.
e = 3.9b

D.
-
e = 1.73b

Answers

Answer:

B

Step-by-step explanation:

Because you divide b to e

1.3

Determine the intercept of the line

Answers

Y intercept: when x = 0
Look on the graph
It would be (0, 0.4)

X intercept: when y = 0
Look on the graph
It would be (0.3, 0)

a birthday cake at the bakery was $30 originally. During a sale, a discount of 28% was given. A further 15% discount was given to those customers who ordered a month earlier. How much would a customer who orders a month earlier need to pay for the birthday cake during the sale?​

Answers

Answer:

$18.36

Step-by-step explanation:

In this question, we have to find the cost of the cake for the customer who orders a month early.

We know that the original price of the cake is $30.

We also know that there was a 28% discount and a 15% discount added to the purchase.

Remember, You don't add discount percentages together, you discount the prices separately.

Solve:

First, apply the 28% discount.

30 · 0.28 = 8.40

30 - 8.40 = 21.60

Now apply the 15% discount to the new price.

21.60 · 0.15 = 3.24

21.60 - 3.24 = $18.36

They needed to pay $18.36 for the cake.

PLEASE HELP VERY IMPORTANT

Answers

Answer:

yes

Step-by-step explanation:

because they both are equal.

select the correct answer. Each statement describes a transformation of the graph of
[tex]f(x) = \sqrt[ 3]{x} [/tex]

Answers

Answer:

The correct answer is d.

Step-by-step explanation:

Let's solve each answer and see which one matches.

Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively.  Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:

a) [tex]f(x) = \sqrt[3]{x + 7} + 3[/tex]

b)[tex]f(x) = \sqrt[3]{x - 3} - 7[/tex]

c)[tex]f(x) = \sqrt[3]{x - 3} + 7[/tex]

d)[tex]f(x) = \sqrt[3]{x - 7} + 3[/tex]

So d is the correct answer.

LAST QUESTION ON UNIT TEST!!! PLEASE HELP!!!


A supermarket display consists of boxes of soda. The bottom row has 38 boxes. Each row has four fewer boxes than the row below it. The display has eight rows.

a) Write and use the function to determine how many boxes are in the top row. Show your work.

b) Use the appropriate formula to determine the number of boxes in the entire display. Show your work.

Answers

Answer: A=(38*x)-(x*4) (x equals rows)

So the top row consists of 272 boxes of soda.

there are 25 gold paper clips and 75 silver paper clips in each box. How many silver paper clips are in 8 boxes. (THIS IS MULTIPLICATION)

Answers

Answer:

600

Step-by-step explanation:

75 x 8 = 600

Answer:

the answer is 600 silver paper clips

Step-by-step explanation:

So the question asks how many SILVER PAPER CLIPS are in 8 boxes. The questions adds 25 GOLD CLIPS just to throw you off. You do not do nothing with it, it just there to mess with your mind. Also it says 75 silver clips in EACH box and there are 8 boxes. So you multiply 75 with 8 and get 600 SILVER PAPER CLIPS

Select the Function that match’s the Graph #2!!!

Answers

Answer:

2

Step-by-step explanation:

Hi, can someone explain to me what Constant of proportionality is using an example problem because I don't understand it.

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

A sale is taking place at your local sporting goods store. The store has advertised that all items in the store will be 10% off. If you spend a total of $150.32, determine the amount you would have spent had there not been a sale. Round your answer to the nearest cent.
a.
$167.02
c.
$156.58
b.
$163.54
d.
$165.35

Answers

Answer: $167.02

Step-by-step explanation:

Amount spent when there's discount

= $150.32

Discount = 10%

Since there's a discount of 10%, it means that (100% - 10%) = 90% of the value of the good was paid.

Let the original value be x.

Therefore, 90% of x = $150.32

90% × x = $150.32

0.9 × x = $150.32

0.9x = $150.32

x = $150.32/0.9

x = $167.02

The value is $167.02

Can sb tell me da answerrr?..

Answers

Answer:

the ratio of perimeter red to blue hexagon is 3/5

the ratio of the area of red to blue hexagon is 9/25

Step-by-step explanation:

Which THREE pairs of measurements are possible side lengths for a 30-60-90 triangle?

C= 30, B = 90, A = 60

1. AB+4, BC = 4√3
2. 2√3, AC = 2
3. AB = 3, AC = 3√3
4. BC = 10, AC = 4√3
5. AB = 7, AC = 14
6. AB = 11, BC = 11√3

Answers

Answer:

1, 5 and 6.

Step-by-step explanation:

The sides of this triangles has lengths in the ratio x : √3x : 2x where 2x is the hypotenuse.

When C = 30,  the side AB is the small leg  (=x).

When B = 90, the hypotenuse is  AC ( =2x).

When A =  60, the larger leg is BC (=√3x).

1.  AB = 4, BC = 4√3 :- Are possible legs.

5 AB = 7, AC = 14. :-  AB = small leg, AC = hypotenuse.

6. AB = 11, BC = 11√3:-   AB = small, BC = larger leg.

Answer:

1, 5, and 6

Hope this helps!

Step-by-step explanation:

A cereal company is putting 1 11 of 4 44 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 4 1/41, slash, 4.

Answers

Answer:

0.75

Step-by-step explanation:

The complete question is attached below.

The dots on the numbers of the dot plot represent the number of boxes it took Vera to get all the prizes.

Therefore, the probability of getting all the prizes in 9 or fewer boxes is the sum of the number of times it took her to get 4 prizes in 9 boxes or fewer.

Hence:

P(x ≤ 9) = P(x = 4) + P(x = 5) + P(x = 6) + P(x = 7) + P(x = 8) + P(x =9)

P(x ≤ 9) = (4 / 36) + (6 / 36) + (3 / 36) + (4 / 36) + (4 / 36) + (6 / 36)

P(x ≤ 9) = 27 / 36

P(x ≤ 9) = 3 / 4 = 0.75

Simplify 4x-3x(-3x+15)

Answers

You gotta start doing it yourself and not relying on others lol

what is the pruduct of -6 and 7

Answers

Answer:

-42

Step-by-step explanation:

.

..

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

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

.......

miss watson runs a distance of 200m in 25 seconds work out the average speed of miss watson in metres per second

Answers

Answer:

8 meters per second

Step-by-step explanation:

l

Solve each system using substitution or elimination. Show all required work. X^2+y^2=40 -x+y=-8

Answers

Answer:

steps and answers in the pic..hope u can understand the calculations...

Anybody know the answer to these

Answers

Answer:

Number 9.                x=√377 or x=−√377

Step-by-step explanation:

9514 1404 393

Answer:

  9.  19.4

  10.  15.8

  11.  16.6

Step-by-step explanation:

The appropriate relations are all given. Fill in the given numbers and solve for the unknown.

9. x^2 +8^2 = 21^2

  x^2 = 441 -64 = 377

  x = √377

  x ≈ 19.4

__

10. sin(33°) = x/29

  x = 29·sin(33°)

  x ≈ 15.8

__

11. cos(55°) = x/29

  x = 29·cos(55°)

  x ≈ 16.6

A grocer stacks oranges in a four-sided pyramid that is 7 layers high, how many oranges are in a pile? The explicit formula for a pyramid

Answers

Answer:

140 oranges

Step-by-step explanation:

From the Question, we know that the pyramid has 7 layers

The number of oranges in the first layer is = 1

Hence, the number of oranges in a pile is calculated as:

1² + 2² + 3² + 4² + 5² + 6² + 7²

= 1 + 4 + 9 + 16 + 25 + 36 + 49

= 140 oranges

Answer:

140

Step-by-step explanation::)

The following table shows the working populations, average salaries, and income tax rates of France and Ger
Country
France
Germany
Workforce
Average Salary (€)
Income Tax Rate
31,491,232
38,844,017
29,766|
32,.104
69.39%|
45.296|
Sased on the information in the table, how do the annual tax revenues of Germany and France compare to or
another?
a. The French government gathers €85,930,190,677 more than the German government.
b. The French government gathers €543,141,128,984 more than the German government.
c. The German government gathers €309,680,310,056 more than the French government.
d. The German government gathers €223,750,119,378 more than the French government.
Please select the best answer from the choices provided mi

Answers

Answer:

a.

The French government gathers €85,930,190,677 more than the German government

Step-by-step explanation:

Please help me!!!!!!

Answers

Answer:

Step-by-step explanation:

For A you can use angles in a triangle adding to 180 degrees.

For a you can use the sine rule.

From there you can use Pythagoras to work out c.

Hope this helps :)

Hope this helps. But for a it’s basically the shapes and sizes as the others consume

f(x) = 2x^2 – 7x – 6
Find f(6)

Answers

Answer:

f(6)=24

Step-by-step explanation:

[tex]f(x) = 2x^2 - 7x - 6\\f(6) = 2(6)^2 - 7(6) - 6=2*36-42-6=24[/tex]

Answer:

f(6) = 24

Step-by-step explanation:

f(x) = 2x² – 7x – 6: f(6)

f(6) = 2(6)² - 7(6) - 6

= 2 × 36 - 42 - 6

= 72 - 48

f(6) = 24

Thus, f(6) = 24

-TheUnknownScientist

28 is 7 times what number?
please help its for 6th graed

Answers

The answer is 4. 7 x 4 = 28

(740 m - 0 m) / 83 km =

Answers

(740 m - 0 m) / 83 km

= 0.00891566265

Answer:

0.00891566265

Step-by-step explanation:

a rectangle has a perimeter of 60 the length of the rectangle is 3 less than twice the width

Answers

Answer:

wat did u say

Step-by-step explanation:

at a sale this week, a desk is being sold for $589. This is a 38% discount from the original price. What is the original price? WILL GIVE BRAINLIEST IF CORRECT! ( you have to have an explanation!)

Answers

Answer: 950

Step-by-step explanation: x= original price

so we know that the desk cost x dollars and after 38% discount the desk was 589

589= discounted price= original price x-the 38%

589=x-0.38x=0.62 x

x=589/0.62=950

The original price of the desk is $950.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The original price = 100%

Selling price = $589

Discount = 38%

100% - 38% = 589

62% = $589

Multiply 100/62 on both sides.

100% = 100/62 x 589

100% = $950

Thus,

The original price of the desk is $950.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

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