An online furniture store sells chairs for $150 each and tables for $450 each. Every day, the store can ship a maximum of 16 pieces of furniture and must sell at least $3900 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

Required inequalities:

x + y ≤ 16150x + 450y ≥ 3900

The graph is attached.

The darker triangle is the solution region.

The solution examples:

(1, 15), (4,12), (5, 10), (11, 5)The first number is chairs, the second number is tables
An Online Furniture Store Sells Chairs For $150 Each And Tables For $450 Each. Every Day, The Store Can

Related Questions

Three gears are arranged as shown in the figure. Find angle θ.


Answers

Answer:

Answer: 111∘

Step-by-step explanation:

(q8) Find the volume of the solid obtained by rotating the region bounded by
, and the x-axis about the y axis.

Answers

Rotating the area enclosed by, and the x-axis about the y axis yields the solid's volume, which is [tex]9\pi[/tex]. option C.

The cylindrical shell method can be used to determine the solid's volume after rotating the region enclosed by the curves x = 3y, x = 3, and the x-axis about the y-axis.

Let's begin by mapping the area:

The parabola that opens to the right and passes between the points (0,0) and (9,3) is represented by the curve x = 3y.

The volume element must be expressed in terms of y in order to set up the integral. Imagine rotating a narrow strip of material with width dy along the y-axis to create a cylindrical shell.

The tallness of theThe difference between the x-values of the curves x = 3 and x = 3y yields the cylindrical shell:

h = 3 - (3√y) = 3(1 - √y)

The distance between the y-axis and the curve x = 3y, denoted by the symbol r, and the circumference of the cylindrical shell is 2r. Here, r equals 3y.

The volume element is thus:

dV = 2π(3√y)(3(1 - √y)) dy

The integral may now be set up to determine the entire volume:

V = ∫[0,3] 2π(3√y)(3(1 - √y)) dy

This integral can be simplified to give us the solid's volume. After analysing the integral, we determine that is the right response. 9 cubed units.option C

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2 0 IC : 7(x + 8) - 4(x + 10)​

Answers

Answer:

3x+16

Step-by-step explanation:

5 cm
1 cm
1 cm
2 cm
4 CM
The perimeter of this shape is


13 cm
18 cm
20 cm
22 cm

Answers

Answer:

the perimeter of the shape is 13cm

Step-by-step explanation:

Perimeter is the distance round a shape. As for polygons perimeter is the sum of all the sides. In this polygon, the sum of all the sides is 5cm + 1cm + 1cm + 2cm + 4cm which is equal to 13cm

2.45 divided by 0.17 =
Its not 14.41176470588235

Answers

Answer:

0.06938775

Step-by-step explanation:

This is the correct answer.

A car manufacturer has two production plants in different cities. Every day, plant A produces 120 of a certain
type of car, while plant B produces 80 of those cars. On average, all of these cars have a paint thickness of
0.04 mm with a standard deviation of 0.003 mm.
Every day, quality control experts take separate random samples of 10 cars from each plant and calculate the
mean paint thickness for each sample. They then look at the difference between those sample means.
Consider the formula:
031-32 =
02
+
ni 12
Why is it not appropriate to use this formula for the standard deviation of TA
IB?

Answers

Answer: We cannot assume independence for the cars sampled from plant B.

Step-by-step explanation: Khan Academy “With a sample size of 10 cars, we need at least 100 cars in the population to assume independence based on the 10% condition, but there are only 80 cars made each day at plant B.”

Answer: We cannot assume independence of the cars sampled from plant B.

Step-by-step explanation:

(d) State any two(2) properties of a semiconductor material.​

Answers

Answer:

Semiconductors are somewhere in-between conductors and insulators. This means that they are specific when it comes to conducting electricity meaning that their conduction of electricity varies based on their condition at the time.

For instance, they can conduct electricity when heated.

Properties:

    1. Perfect insulator at Absolute Zero.

As mentioned above, semi conductors are better at conducting electricity when they are heated. At Absolute zero - the lowest temperature possible -  therefore, these materials would conduct absolutely no electricity thereby making them perfect insulators.

   2. More resistance than Conductors but less than Insulators

As mentioned above, they have properties in-between those of insulators and conductors. One of those is their resistance. They can resist more than conductors but less than insulators.

Evan can do one sit-up every 5 seconds. How many minutes will it take him to do 24 sit-ups ?​

Answers

Answer: 120 minutes.

not sure if im right lol brainliest or a thank u please :)) <3

It would take him 2 minutes to do 24 sit ups

24 x 5 = 120
120/60= 2

Es fills his sport bottle wit 1.2 liter of water how much milliliters of water is in ed sport bottle

Answers

There is 1200 mL in his bottle

HELP HELP HELP THIS IS DUE TODAY PLZZ HELP ME 1. Plot and label the temperatures on a number line. You can create it by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.

Answers

Answer:

What's the the temperatures?

Step-by-step explanation:

A bag contains a total of 100 black and white marbles. Without looking a marble is chosen, recorded, and placed back in the bag. The student records 8 black marbles and 2 white marbles. Predict the number of black marbles in the bag.​

Answers

80 black and 20 white

Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard deviation of 8. Aptitude tests are known to follow a t-distribution. Pioneer rejects the bottom 5% of the applicants right away. The top 5% are hired immediately at managerial positions.
A. What is the degrees of freedom for this distribution?
B. What is the t-score for someone who has scored 93?
C. What is the cutoff score for those who'll be hired as managers?
D. What will be the cutoff score fro those who'll get rejected right away?
E. If we want to define the middle of the class (80%) to be average, what will be the lower cut-off scores?
F. If we want to define the middle of the class (80%) to be average, what will be the upper cut-off scores?

Answers

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

In point A:

[tex]\to df = n - 1 = 71-1= 70[/tex]

In point B:

[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]

In point C:

For df = 70, the top 5% critical t score

tcrit = 1.666914479

Thus,

[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]

In point D:

For df = 70, the top 5% critical t score

tcrit = -1.666914479

[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]

In point E:

The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is

tcrit = -1.293762898

[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]

In point F:

The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is

tcrit = 1.293762898

[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]

What is the distance between (5, 5) (5, -2)

Answers

Answer:

7 units

Step-by-step explanation:

To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (5,5) and (5, -2) into the formula and simplify:

[tex]d= \sqrt{(5-5)^2+(5+2)^2} \\d = \sqrt{(0)^2+(7)^2} \\d = \sqrt{0+49} \\d = \sqrt{49}\\d=7[/tex]

So, the answer is 7 units.

7 now can you please help me with my history work

Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?

Answers

Answer:

The answer is 65%

Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)

The length, 1, of a wheelchair ramp is 3 more than 11
width, w. Which equation represents the relationship between
the length and the width of the ramp?

Answers

Answer: the length is 8

Step-by-step explanation: Because 11 minus 8 is 3

Which expression is equivalent to 14y−12?

14(y−2)

−14(y−12)

14(y−12)

−14(y−2)

Answers

Answer:

The answer is 1/4 (y-2)

Step-by-step explanation:

I got the answer correct on my test!

Choose all the possible solution that makes the inequality statement True

x + 15 ≤ 35

O 20, 21, 22

O 18, 19, 20

O -18,-19,-20

O 50, 51, 52

Answers

Answer:

18, 19, 20

-18,-19,-20

Step-by-step explanation:

x + 15 ≤ 35

x ≤ 35 - 15

x ≤ 20

x must be 20 or less than it

Which fraction is equivalent to 2/-6

Answers

Answer:

-1/3

Step-by-step explanation:

4. What percent of values is between the first and third quartiles?
5. Find the interquartile range.

Answers

Answer:

IQR = 2.5

Step-by-step explanation:

Question 5:

IQR=Q1-Q3

IQR=4.75-2.25 = 2.5

Question 4:

Q1=2.5 and Q3=4.75 between those two is the median so, it may be 3.0 or 3% just not positive on question 4.

Can anyone else help on question 4?

Help pls i'm lost i really need help

Answers

-17, +20, -5, +14, 100, -17, +10, -9, -8, +11


please help i’ll give brainliest

Answers

The answer is 65pi for lateral surface area

Please help answer !:)
Will give brainlst!!
Have a nice day

Answers

Answer:

10, exponents, 10, expression

Step-by-step explanation:

Convert .45 tons to kilograms to the nearest hundredth

Answers

Answer:

40,823.31 kilograms.

Step-by-step explanation:

100 POINTS!!
What is the value of x? Enter your answer in the box.

Answers

the answer should be 46

PLEASE HELP DUE IN 2 HOURS!


4.22 g/cm to lbs/ft

Answers

Answer:

The answer is 0.28 lbs/ft or 0.3 lbs/ft, if rounded.

Step-by-step explanation:

In order to solve, divide the mass / length value by 14.882.

I hope this helps you.

How many of these figures have at least one vertex?

Answers

Answer:

Two of those figures have a vertex.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

The number of figures has at least one vertex is 2. Therefore, option C is the correct answer.

What is a vertex?

A vertex is a point in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedral.

From the given figure,

Sphere: Spheres have no vertex (the surface is a curve).

Triangular pyramid: Triangular pyramid has 5 vertex, 4 faces and 6 edges

Cube: Cube has 8 vertex, 6 faces and 8 edges.

Cylinder: A cylinder has 0 vertices. A cylinder has 2 edges. A cylinder has 2 faces and 1 curved surface.

Therefore, option C is the correct answer.

Learn more about the vertex here:

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Need answers plz would be appreciated

Answers

Answer:

1) x=5

2) x=7

3) x=8

4) x=4

5) x=7

6) x=8

Step-by-step explanation:

Since each pair is similar, their sides are in ratio:

1)

(2x+2)/6=18/9

2x+2=2*6

2x=12-2

x=10/2

x=5

2)

(x-2)/4=10/8

x-2=1.25*4

x=5+2

x=7

3)

(3x-6)/12=24/16

3x-6=1.5*12

3x=18+6

x=24/3

x=8

4)

(2x+4)/15=16/20

2x+4=0.8*15

2x=12-4

x=8/2

x=4

5)

(x+2)/15=6/10

x+2=0.6*15

x=9-2

x=7

6)

(-3+x)/6=10/12

-3+x=6*(10/12)

x=5+3

x=8

What is the factored form of this expression?
9x2 – 64y2

Answers

Answer:

(3x + 8y)(3x - 8y)

Step-by-step explanation:

this is the difference of 2 perfect squares.

9x2 - 64y2

(3x + 8y)(3x - 8y)

Find the surface area.

Answers

Answer:

1120

Step-by-step explanation:

area of triangle= 1/2★base★height

area of traingle =1/2★15★8=60

area of 2 triangle= 60+60=120

area of base rectangle= length ★breath

=15★25=375

area of slanting rectangle= 25★17=425

area of side rectangle=8★25=200

so total area= 120+375+425+200=1120

A store sells nine types of cell phones. There are four colors of each type.
How many different options does a customer have when buying a cell phone at the store? HELP

Answers

Answer:

36

Step-by-step explanation:

nine times 4 is 36 making it 36 options to choose from

hope this helps! :)

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