An online furniture store sells chairs for $150 each and tables for $600 each. Every day, the store can ship a maximum of 18 pieces of furniture and must sell at least $5400 worth of chairs and tables. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

13,500

Step-by-step explanation:

x + y = 750

750 x 18 = 13.500

Answer 2

The value of the number of tables will be 6 and the number of chairs will be 12.

How to form an equation?

When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and use the unknown quantity as a variable.

In other words, an equation is a set of variables that are constrained through a situation or case.

From the question constraint of a maximum of 18 pieces of furniture

x + y =18

From the question constraint of at least $5400 worth of chairs and tables

600x + 150y ≥ 5400

By equation first, y = 18 - x put this into second

600x + 150(18 - x) ≥ 5400

450x ≥ 2700

x ≥ 6 hence there is need to sell at least 6 tables.

Put x =6 into x + y =18 then

y = 12 hence at least 12 chairs need to be sold.

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Related Questions

Divide the difference of 50 and 10 by the sum of 3 and 2. what expression represents the statement?

Answers

Answer:

(50-10) ÷ (3+2)

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

E

stephen takes a walk around the block. the rectangular block is 125 m long and 75 m wide. How far does Stephen walk?

Answers

Answer:

400m

Step-by-step explanation:

It s be the perimeter.

Length X2 sides + width x 2 sides

125       X2 sides +  75.   X2 sides

        250 + 150

      400m

A company’s mean salary is $65,000 with a standard deviation of $6,000. What is the probability that an employee makes between $70,000 and $80,000?

Answers

An employee has a probability of 0.19706 to make between $70,000 and $80,000

What is Probability?

Probability is the potential for an event to occur or occur, and it indicates the likelihood that a statement is true. It is a field of mathematics where the probabilities of experiments happening are computed. We can determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a research error, for instance, using a probability. It's formula is = number of favorable outcomes/total number of outcomes

Let X be the annual salary of employees in a large company.

Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:

[tex]P(70000 < X < 80000)[/tex] = [tex]P(\frac{70000 - 65000}{6000} < z < \frac{80000 - 65000}{6000} )[/tex]

[tex]P(0.833 < z < 2.5)[/tex]

= 0.99379 - 0.79673 (from normal distribution table)

= 0.19706

Hence, the probability that an employee makes between $70,000 and $80,000 is 0.19706

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Solve the equation:
2 + y/3 =8

Answers

Answer: y = 18.
First subtract 2 on both sides.
y/3 = 6
Then multiply 3 on both sides.
y = 18
Hope this helps!

How many vertices does this shape have?

Answers

it has six vertices. vertices are the points when the lines come together

PLSSSSS HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

y-intercept is (0,5)

Step-by-step explanation:

When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.

For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).

But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)

A farmer sells 8.6 kg of Pierce an apple at the Farmers Market two fifths of the wait is pears and the rest is apples how many kilograms of apples did she sell at the Farmers Market

Answers

Answer:

Weight of Pears = 3.44 Kgs

Weight of Apple = 5.16 Kgs

Step-by-step explanation:

Given

The total weight of the Pears and the apple is 8.6 Kg

Out of this total weight, the weight of the pears is 2/5

Hence, weight of the Pears is 2/5 * 8.6 = 3.44 Kg

Weight of the Apple is equal to 8.6 -3.44 Kgs = 5.16 Kgs

Weight of Pears = 3.44 Kgs

Weight of Apple = 5.16 Kgs

please please helpppp!

Answers

Answer:

3

Step-by-step explanation:

So all of them have a theretical probability of 1/5.  Now to determine the experimental propability.  (1=6/25, 2=2/25, 3=5/25 or 1/5, 4=4/25, 5=8/25)

Three has an experimental propability of 1/5, which is the same as its theretical propability.

what theorem can be used to prove these triangles are congruent?

Answers

Answer:

B. HL

Step-by-step explanation:

#CARRYONLEARNING

The Two goal posts in football pitch, maths textbooks,chairs in classroom etc are all examples of ________ figures.

Answers

Answer:

3 dimensional figures

Step-by-step explanation:

Given

Goal Posts

Maths Textbooks

Chairs

Required

The type of figures

Each of the given figures are always above the ground, in other words; they have heights greater than 0.

When an object has lengths, width and heights greater than 0; such object is referred to as a 3 dimensional figure

Select the correct answer from the drop down menu,
The square root of 125 is between
Band 9
Reset
Next
9 and 10
10 and 11
11 and 12

Answers

11 and 12

Step-by-step explanation:

The square root of 125 is between 11 x 11 = (121) and 12 × 12 = (144)

Answer:

11 and 12

Step-by-step explanation:

i just took the test

in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equations that are appropriate models for the population of the city, and explain why the others are not

Answers

Answer:

[tex]f(x) = 63000(0.97)^x[/tex]

Step-by-step explanation:

Given

[tex]f(0) = 63000[/tex] ---x = 0, in 2012

[tex]f(5) = 54100[/tex] -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Where

[tex]b = rate[/tex]

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

[tex]f(x) = 63000(0.97)^x[/tex]

Set x = 0

[tex]f(0) = 63000(0.97)^0 = 63000*1=63000\\[/tex]

Set x = 5

[tex]f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100[/tex]

This is true because the calculated values of f(0) and f(5) correspond to the given values

For option (d), we have:

[tex]f(x) = 52477(0.97)^x[/tex]

Set x = 0

[tex]f(0) = 52477(0.97)^0 - 52477* 1 = 52477[/tex]

This is false because the calculated value of f(0) does not correspond to the given value

For option (e), we have:

[tex]f(x) = 63000(0.97)^\frac{1}{5x}[/tex]

Set x = 0

[tex]f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =[/tex]undefined

This is false because the f(x) is not undefined at x = 0

For option (f), we have:

[tex]f(x) = 52477(0.97)^{5x[/tex]

Set x = 0

[tex]f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477[/tex]

This is false because the calculated value of f(0) does not correspond to the given value

From the computations above, only (c) [tex]f(x) = 63000(0.97)^x[/tex] is true

If you place a 37-foot ladder against the top of a 15-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Answers

Answer:

33.8

Step-by-step explanation:

a²+b²=c²

15²+b²=37²

225+b²=1369

-225     -225

b²=1144

√1144

b=33.8

The distance from the bottom of the ladder to the bottom of the building would be 33.8 foot.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

If you place a 37-foot ladder against the top of a 15-foot building.

Let BC be the distance from the bottom of the ladder to the bottom of the building.

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\15^2+BC^2=37^2\\225 + BC^2=1369\\BC^2 = 1369 - 225\\\\BC^2 = 1144\\\\BC = 33.8[/tex]

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[ ( 7 − 5 ) ÷ 1/2 ] × 2

Answers

Answer:

8

Step-by-step explanation:

[( 7 − 5 ) ÷ 1/2] × 2

[(2) ÷ 0.5] × 2

[2 × 2] × 2

4 × 2

8

what is 9-x/5=3?
I kept getting 6 but the only option is -6 :/

Answers

Step-by-step explanation:

[tex]9 - \frac{x}{5} = 3 \\ 9 - 5 \times \frac{x}{5} = 3 \times 5 \\ 9 - x = 15 \\ - 9 - x = - 9 + 15 \\ - x = 6 \\ - x \div - 1 = 6 \div - 1 \\ x = - 6[/tex]

Answer:

Yeah the answer is -6

Step-by-step explanation:

9-x/ 5= 3

9-x = 15 (5 times three)

-x = 6 (9-6)

x= -6 ( a variable can never Be negative, but we have to give the minus to 6)

I hope this helps!

I need some help find the area of the shaded region and round to the nearest hundredth

Answers

Answer:

The area of the shaded region is 21.45cm².

13. Sarita recorded the high temperatures in her town for the month of July and used
her data to make this box and whisker plot.
The mean temperature of the month was 94".
At least half of the temperatures were 94 or greater.
E
||||
88 90 92 94 96 98 100 102 104
Temperature (°F)
Which statement must be true?
There were fewer temperatures between 92° and 94 than
between 94° and 99%.
There were more temperatures between 99 and 104° than
between 88° and 92,

Answers

Answer:b

Step-by-step explanation:

Fill the empty slots by dragging tiles from the left to show

the next step for solving the equation

Solve the two-step equation

- 3x - 21 = 27

NG

No

Show result

Please help

Answers

Answer:

x =-16

Step-by-step explanation:

Given the equation

-3x - 21 = 27

We are to find the next step in solving the equation

Step 1: Add 21 to both sides

-3x - 21 + 21 = 27 + 21

-3x = 48

Step 2: Divide both sides by -3

-3x/3 = 48/3

-x = 16

x = -16

Hence the value of x is -16

The range of a set of numbers is 6 1/4
The smallest number is -2 3/8
Work out the largest number.

Answers

Answer:

HURRY

Dr. Khan works for the marketing department of a company that manufactures mechanical toy dogs. Dr. Khan has been asked to assess the effectiveness of a new advertising campaign that is designed to be most persuasive to people with a certain personality profile. She brought four groups of participants to the lab to watch the video advertisements and to measure the likelihood that they would purchase the toy, both before and after watching the ad. The results of Dr. Khan’s study are presented below.

Part A

Explain how each of the following concepts applies to Dr. Khan’s research.

Survey

Dependent variable

Big Five theory of personality

Part B

Explain the limitations of Dr. Khan’s study based on the research method used.

Explain what Dr. Khan’s research hypothesis most likely was.

Part C

Use the graph to answer the following questions.

How did the trait of agreeableness affect how people responded to the new ad campaign?

How did the trait of conscientiousness affect how people responded to the new ad campaign?

Answer:

3 [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

To find the largest number add the value of the range to the smallest number.

- 2 [tex]\frac{3}{8}[/tex] + 6 [tex]\frac{1}{4}[/tex] ( change to improper fractions )

= - [tex]\frac{19}{8}[/tex] + [tex]\frac{25}{4}[/tex]

= - [tex]\frac{19}{8}[/tex] + [tex]\frac{50}{8}[/tex]

= [tex]\frac{31}{8}[/tex]

= 3 [tex]\frac{7}{8}[/tex]

5)
You are told that the median score on
these four cards is 9.5
Work out what the number is on the
bottom card.
7
15
8

Answers

Answer:

11

Step-by-step explanation:

7 8 11 15

median (8+11)/2=19/2=9.5

3. A researcher finds that the correlation between High School GPA and College GPA is 0.40. What
percentage of the variation in College GPA can be explained by the relationship with High School
GPA?
a. 0%
b. 16%
c. 20%
d. 40%
e. 60%

Answers

the answer is most likely D

Jack is selling used computers. he is paid $15/h plus a 5% commission on sales. What dollar amount of computer sales must jack make to earn $1000 in a 40-h work week.

Answers

Answer:

8000

Step-by-step explanation:

Jack sold worth $8000 computer sales in the last week.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Jack is selling used computers. He is paid $15/h plus a 5% commission on sales.

He made $1000 in a 40-h week,

∴ He made $(15×40) = $600 for his work hours and $(1000 - 600)

= $400.

So, $400 dollars in 5% of the total sales and assuming he made a sell of $x.

∴ (5/100)×x = 400.

0.05x = 400.

x = 400/0.05.

x = 8000.

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How do you turn 5(2x+y) into like terms?

5(2x+y) → [ ? ] - 2y-6x

Answers

Answer:

10 x + 5 y

Step-by-step explanation:

Anybody know the answer please?

Answers

Answer:

D)  80.5  cm  sq

Step-by-step explanation:

square  10x7  = 70

Triangle (7x3) /2 = 10.5

70+ 10.5 = 80.5

Consider the reflectional symmetry of the rhombus. How many lines of symmetry does the shape have? 0 1 2 4

Answers

Answer:

is the answer of emonis

help !!
I can't understand it

Answers

1.

a.) The color of Aqueous solution turns light green from blue, due to formation of iron sulphate .

b.) The color of the Aqueous solution turns colorless from blue due to formation of zinc sulphate.

2. Bells used in temples aren't made up of wood because wood isn't sonorous and hence can't produce ringing sound, and hence metals are used in making bells.

3. phosphorous is kept in water because it is highly reactive and reacts vigorously with air if left free in atmosphere .

4.

a.) CuSO4 + Mg =》MgSO4 + Cu

this is a single displacement reaction, where Magnesium being more reactive than Copper, displaces copper from its compound (copper sulphate) to form magnesium sulphate.

b. H2SO4 + Zn =》ZnSO4 + H2

this is a single displacement reaction,

where Zinc being more reactive than

hydrogen, displaces hydrogen from its

compound (sulphuric acid) to form Zinc sulphate.

1.

a.) The color of Aqueous solution turns

The color of Aqueous solution turnslight green from blue, due to formation

The color of Aqueous solution turnslight green from blue, due to formationof iron sulphate.

b.) The color of the Aqueous solution

The color of the Aqueous solutionturns colorless from blue due to

The color of the Aqueous solutionturns colorless from blue due toformation of zinc sulphate.

2.

Bells used in temples aren't made upof wood because wood isn't sonorousand hence can't produce ringing sound,and hence metals are used in makingbells.

3.

phosphorous is kept in water becauseit is highly reactive and reacts vigorouslywith air if left free in atmosphere

4.

a.) CuSO4+ Mg MgS04 +Cu

this is a single displacement reaction,where Magnesium being more reactivethan Copper, displaces copper from itscompound (copper sulphate) to formmagnesium sulphate.

b. H2S04 +Zn =) ZnS04+H2

b. H2S04 +Zn =) ZnS04+H2this is a single displacement reaction,where Zinc being more reactive thanhydrogen, displaces hydrogen from itscompound (sulphuric acid) to form Zincsulphate.

Step-by-step explanation:

I hope it helps

have a great day

#Liliflim

i need help asap, answer with the correct answer and dont troll me

Answers

Answer:

B, between 0.1 and 0.3 because between them is 0.2!

A, 0.45 is greater than 0.3 so it a little below would be just right!

Evaluate f(-2): SHOW ALL WORK
f(x) = x - 4

Answers

Answer:

-6

Step-by-step explanation:

substitute x=-2

f(-2)=(-2)-4=-6

Answer:

- 6

Step-by-step explanation:

f(x) = x - 4

f( - 2) = - 2 - 4 = - 6

Find the measure of a.

Answers

Answer:

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

What is the midpoint of the segment AB given point A(-6.1) and point B(3,7)?
a) (14,6)
b) (7,3)
c) (2,8)
d) (1,4)

Answers

A (14,6) because its right
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Based on the audio, what does Belinda do first? Bathes Does her hair Paints her nails Shaves Does a circle have a diameter of 7.6 feet which measurement is closest to the circumference of the circle in feet? math problem, help me please!! What are 3 data Gathering method that you find effective in creating interactive design for product interface and justify your answer? Hurry plzzzWhat impact did new technologies in the assemblyand manufacturing have on the auto industry in the1920s?Car production continued at roughly the same pace.Trucks outnumbered passenger cars in sales.Truck production increased rapidly.Car production increased rapidly. Your friend Harold is trying to decide whether to buy or lease his next vehicle. He has gathered information about each option but is not sure how to compare the alternatives. Purchasing a new vehicle will cost $28,500, and Harold expects to spend about $700 per year in maintenance costs. He would keep the vehicle for five years and estimates that the salvage value will be $11,300. Alternatively, Harold could lease the same vehicle for five years at a cost of $3,705 per year, including maintenance. Assume a discount rate of 10 percent.Requirement:1. Calculate the net present value of Harolds options. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Negative amounts should be indicated by a minus sign. Round your final answers to 2 decimal places.2. Advise Harold about which option he should choose.Lease OptionPurchase Option Please help! I have part of the answer but I need help with the slope and understanding the solution space. Thanks!3. (05.06 MC)Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:y > 3x + 10y Jerome, kevin and seth shared a submarine sandwhich. Jerome ate 1/2 of the sandwich , kevin ate 1/3 of the sandwich, and seth ate the rest. What is the ratio of jerome's share to kevin's share to kevin's share to seth's share? Monetary policy refers to Group of answer choices the change in private expenditures that occurs as a consequence of changes in the money supply. changes in the money supply to achieve particular economic goals. changes in government expenditures and taxation to achieve particular economic goals. actions taken by banks and other financial institutions regarding their approaches to lending, account management, etc. Select S if the sentence fragment is a subject (noun phrase) or P if it is a predicate (verb phrase).the weary little boySP Which of these statements is written using passive voice? They earned about $1,000 at their fundraiser. Their fundraising on Friday raised about $1,000. They were given about $1,000 in the fundraiser. Their hard work led them to $1,000 in donations. true or false: axolotls are ugly and they do not have the cutest yawn What is the surface area of the triangular prism? a152 square feet b252 square feet c172 square feet d264 square feet The voltage in a battery is 9 volts. The resistance is 3 ohms. What is the current? USE CORRECT UNITS! Work out 3 times 10^5 divide by 4 times 10^3Give your answer as an ordinary number At 60,000 machine hours, Boris Company static budget for variable overhead costs is $180,000. At 60,000 machine hours, the company's static budget for fixed overhead costs is $300,000. Machine hours are the cost driver of all overhead costs. The static budget is based on 60,000 machine hours. At 60,000 machine hours, the company produces 40,000 units. The following data is available:Actual units produced and sold 42,000Actual machine hours 64,000Actual variable overhead costs $185,600Actual fixed overhead costs $302,400 What is the fixed overhead spending variance? A) $2,400 Favorable B) $2,400 Unfavorable C) $1,000 Unfavorable D) $1,000 Favorable Abortion should be legal Recommend five strategies that the school can implement to act against cyber bullying Yesterday, Claudia ran 1/9 of a mile. today she ran 3/4 of a mile. how far did she ran all together? Calculate the Ka of a 0.35M weak acid with a pH of 4.2.