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

What is the value of X in the equation x²-6x+9=25

Answers

Answer:

X = -2 or X = 8

Explanation:

PLEASE HELP
WILL GIVE BRAINLIEST!!!

Answers

Answer:

5/16 pounds

Step-by-step explanation:

The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.

Answer:

0.3125 pounds

Step-by-step explanation:

Each wedge of cheese weights 0.1325 pounds

Please help and don’t put a random answer.

Answers

Answer:

The answer is 13/4

Step-by-step explanation:

I divides and cross miltiplied.

Before rock climbing, Michelle wants to know how

high she will climb. She places a mirror on the

ground and walks backward until she can see the

top of the cliff in the mirror. She drew a sketch of

the situation. What is the height of the cliff?

Answers

Answer:

22 feets

Step-by-step explanation:

From the diagram attached :

We have two similar triangles which can be related proportionally :

Hence ;

Mitchell's height / distance from mirror = cliff height / cliff distance

Michelle's height = 5.5

Michell's distance from mirror = 4

Cliff height = h

Cliff distance from mirror = 16

We have ;

5.5 / 4 = h / 16

Cross multiply :

4 * h = 5.5 * 16

h = 88 / 4

h = 22 feets

what is the value of x?

Answers

15 ehdhbdbbfbfhfhfbrfhhfhfhfhfhfhfhhfhfhfhfhfhhffjjfh
15 is the answer bdbdjjsjwushs

please, help me with this fast!! I'm giving points!!!!

Answers

Answer:

Step-by-step explanation:

c circle

The answer is c :)))))))

PLS HURRY I ONLY HAVE 15mins LEFT WORTH 100 POINTS AND BRAINLEST
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4

Answers

this is the correct answer

PLEASE ANSWER I NEED LOTS OF HELP!!!!!!!!!!!!!!

Answers

Answer:

40%

Step-by-step explanation:

Rachael liked 36/90 books movies that she watched. This simplifies to 2/5 which is 0.4. To find the percentage, we multiply 0.4 by 100 to get 40%.

Which is not Equivalent to 3:5
A.30:50
B.21:28
C:15:28
D.9:15

Answers

Answer:

B.

Step-by-step explanation:

Since 21 is divided by 3 you might think that it is equivalent but remeber you have to divide by both sides, so if you divide 21 by 7 it works but 28 by seven does not! Hope this helps!

Write the equation of a line with a slope of 2/3 going through the point (-15, -22)

Answers

Answer:

y=(2/3)(x+15)-22

Step-by-step explanation:

You use the slope point equation which is y-y1=m(x-x1) or y=m(x-x1)+y1 where m is the slope and x1 and y1 are the coordinates you plug in.

Therefore, 2/3 is the slope m and (-15, -22) are the coordinates for x1 and y1.

y=(2/3)(x-(-15)) + (-22)

y=(2/3)(x+15)-22

I would really like some help with this. If anyone is able to help me.

Answers

Answer:

are not  

Step-by-step explanation:

it is clear I can explain in the comment section ... because I don not want you to lose time

Johann borrows money from his parents to purchase a bike. He makes weekly payments to his parents to repay the money
borrowed. The total amount of money repaid at the end of week n can be represented using the recursive formula a, = 10+ an-1-
At the end of the fourth week, Johann had repaid his parents a total of $55. What is the total amount Johann had repaid his
parents at the end of the first week?
o $10
$20
$25
$35​

Answers

Answer:

$25

Step-by-step explanation:

An = 10 + An-1

At the end of 4th week ; amount repaid = $55

A4 = 10 +

An = a + (n - 1)d

n = 4

A4 = 10 + (4 - 1)d

55 = 10 + 3d

55 - 10 = 3d

45 = 3d

d = 15

Hence, at the end of first week :

A1 = a + d

$10 + $15

= $25

find 46% of 70. Do not round your answer.

Answers

Answer:

the answer is 32.2

Step-by-step explanation:

Not rounded

hope this helps

Answer:

32.2

Step-by-step explanation:

70 divided by 100 times 46

What is the y-intercept of the graph of x=9y-5

Answers

Answer:

(0,5/9)

Step-by-step explanation:

The probability that Gerald makes a three-point shot in basketball is 20\%20%20, percent. For practice, Gerald will regularly shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him to get his first successful shot.

He simulated 404040 trials of three-point shots where each shot had a 0.20.20, point, 2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot. Here are his results:


Use his results to estimate the probability that it takes 101010 or fewer shots to get his first successful shot.

Give your answer as either a fraction or a decimal.

Answers

Answer:

[tex]P(x \le 10) = 0.85[/tex]

Step-by-step explanation:

Given

See attachment for properly presented question

Required

[tex]P(x \le 10)[/tex]

From the question, we understand that he takes 40 shots (trials)

So:

[tex]n = 40[/tex]

From the attached plot, the number of attempts up to the 10th is:

[tex]x \le 10 = 9+6+5+4+4+2+2+0+1+1[/tex]

[tex]x \le 10 = 34[/tex]

So, we have:

[tex]P(x \le 10) = \frac{n(x \le 10)}{n}[/tex]

[tex]P(x \le 10) = \frac{34}{40}[/tex]

[tex]P(x \le 10) = 0.85[/tex]

f(x) =
-(x – 6)2 +7 for x+3
for X = 3
Find f(3)

Answers

Answer:

lol it's right there

Step-by-step explanation:

I am not sure if you are what I call a ride or die cuz u a caring person and ant to be a recruiter I am good at persuading people to do stuff

HELP ASAP
I HAVE NO IDEA WHAT TO DO HERE

Answers

Answer:

Angle A

Step-by-step explanation:

Remember:

SOH CAH TOA

Opposite = Directly across from.

Adjacent = Next to.

Hypotenuse = Longest side.

Tangent = Opposite Side / Adjacent Side.

✓ Tan A = 6 / 8 = 3 / 4 = 3 / 4

× Tan B = 8 / 6 = 4 / 3 ≠ 3 / 4

× Tan C = 10 / 8 = 5 / 4 ≠ 3 / 4

Find the median of the data in the box plot below. Cookies A horizontal boxplot titled Number of cookies eaten by each contestant, is plotted along a horizontal axis marked from 2 to 30, in increments of 1. A left whisker extends from 5 to 6. The box extends from 6 to 22 and is divided into 2 parts by a vertical line segment at 8. The right whisker extends from 22 to 25. All values estimated.

Answers

Diagrammatic representation of the summarized box plot is attached below :

Answer:

Range = 20

Median = 8

Step-by-step explanation:

The median value of a box plot is obtained at the point where a vertical line divides the box into two parts. In the boxplot Given the median of the representation is 8. This is the point where the vertical line divides the box.

The range of the distribution is the difference between the maximum and minimum value :

Minimum (starting point of whisker) = 5

Maximum (end point of whisker) = 25

Range = 25 - 5 = 20

please help me! multiple choice

Answers

Answer:

(3,4)and r=2 is is the center and radius of the circle.

stay safe healthy and happy.

Two recreational basketball teams, Eagleton and Hawkville, wanted to compare the heights of their players in inches.

The heights of Eagleton's basketball players are 70, 71, 72, 74, 74, 75, and 75. The mean height of the Eagleton players is 73 inches

The heights of Hawkville's basketball players are 70, 70, 71, 72, 72, 72, and 77. The mean height of the Hawkville players is 72 inches.

Which statement is true?


Team Hawkvilles's players heights vary the same amount as Team Eagleton's players heights.

The range of Eagleton's players heights is greater than the range of Hawkville's players heights.

Team Hawkville's players heights vary more than Team Eagleton's players heights.

Team Eagleton's players heights vary more than the heights of Hawkville's players.

Answers

Answer:

Option C

Step-by-step explanation:

Given -

Height of the Eagleton's basketball players are 70, 71, 72, 74, 74, 75, and 75.

The mean height of Eagleton's basketball players is 73 inches

Heights of Hawkville's basketball players are 70, 70, 71, 72, 72, 72, and 77. The mean height of the Hawkville players is 72 inches

The range of any given data set is the difference in the maximum and minimum value the frequencies with in the data set.

The range of Hawkville's basketball players is 77-70 = 7

The range of Eagleton's basketball players is 75-70 = 5

Hence, the height of Hawkville's basketball players vary more as compared to the height of players of Eagleton.

Option C is correct

Answer:

C

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

The answer is [tex]2\frac{1}{12}[/tex]

Step-by-step explanation:

Answer:

25/12

Step-by-step explaining.

mark brainiest

:)Can someone answer this

Answers

Answer:

6.50 + 5.75n

Step-by-step explanation:

6.50 for the first hour only being charged once and the 5.75 being for the number of hours (n) she works after the first hour

Answer:

B

Step-by-step explanation:

n is how many additional hours after the first hour she babysits. She charges $5.75 for each additional hour. So, that would be:

5.75n

But for the first hour, she charges 6.50. So that would be:

6.50+5.75n

Please help, Find the perimeter of the figure

Answers

Answer:

24

Hope that this helps!

Answer:

24 inches

Step-by-step explanation:

starting from 4 going clockwise, add the inches to get the perimeter:

4 + 5 + 1 + 5 + 9 = 24

Salma Serra purchased a truck. last year she drove the truck 12,340 miles. the fixes costs totaled $1,428 , while variable cost totaled $2,998. how much did it cost per mile to operate the truck?

Answers

Answer:

20.61952

Step-by-step explanation:

hope it helps

The solution is : cost of driving per mile is $0.42.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Given:

Luisa Díaz drove her vehicle about 7,200 miles last year.

Total fixed cost = $1,058.40

Total variable cost = $1965.60

Question asked:

How much did it cost per mile ?

Solution:

Total cost of driving 7200 miles = Total fixed cost + Total variable cost

                                                    = $1,058.40 + $1965.60

                                                    = $3024

By unitary method:

Cost of driving 7200 miles = $3024

Cost of driving 1 mile = $3024  7200

                                  = $0.42

Thus, cost of driving per mile is $0.42

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complete question:

Luisa Díaz drove her vehicle about 7,200 miles last year. Her fixed costs totaled $1,058.40 and her variable costs were $1965.60 how much did it cost per mile

wHAT is 3+3+4+5+6+7????

Answers

Answer:

28

Step-by-step explanation:

first u add 3 + 3 which is 6 then 6 + 4 which is 10 then 10 + 5 is 15 then 15 + 6 is 21 and finally 21 + 7 is 28

Below. What is m∠1?

m∠1 =

Answers

Answer:

70 degrees

Step-by-step explanation:

Answer:

Angle 1 is 70

Step-by-step explanation:

Because (angle 1 + 31=101) so 101-31= 70

A triangular piece of wood is being installed on a front porch. The piece of wood is shown below. Find its area. Round to the nearest tenths place.​

Answers

Answer:

102.9

Step-by-step explanation:

Area of a triangle is A=(1/2)(h)(b) where h is the height and b is the base.

7.35 is the height and 28 is the base

A=(1/2)(7.35)(28)

A=102.9

Sullivan’s boss has 5 eyes total. Three of his eyes are smaller than the other two. What percentage of his eyes are larger?

Answers

Answer:

40%

Step-by-step explanation:

3/5 are small so we have to find 2/5 which is 40%

2/5=x/100

cross multiply

you'll get: 5x=200

divide and thats how u get 40 %

In tilton school there are 380 students in key stage 3 240 students in key stage 4 110 students in key stage 5 phoebe is carrying out a survey. she needs a sample of 100 students

Answers

Answer:

52

Step-by-step explanation:

Total Number of students :

Stage 3 : 380

Stage 4 : 240

Stage 5 : 110

Total = (380 + 240 + 110) = 730

Number of samples required = 100

Number of key stage 3 students required :

(Key stage 3 / total) * number of samples

(380 / 730) * 100

= 0.5205479 * 100

= 52.0547

= 52

Which is the best estimate for the capacity of a kitchen sink?
Which is the best estimate for the capacity of a kitchen sink?

A.2,000 liters

B.200 liters

C.2 liters

D. 20 liters

Answers

An average sink can hold 32 liters to I would say 20

The best estimate for a kitchen sink is 20 liters from the options given.

Option C is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The average capacity of a kitchen sink = 32 liters.

The best estimate for the capacity of a kitchen sink.

= 20 liters to 40 liters

Thus,

20 liters can be our best estimate.

Learn more about expressions here:p

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