An online furniture store sells chairs for $100 each and tables for $400 each. Every
day, the store can ship no more than 18 pieces of furniture and must sell no less than
$2900 worth of chairs and tables. Also, the store must sell a minimum of 10 tables. If
a 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.

PLS INCLUDE THE INEQUALITIES

Answers

Answer 1

y ≥ 0 , Zero possible solution.

What is inequality ?

In mathematics, an inequality represents the connection between two values in an imbalanced algebraic statement. A sign of inequality can be used to show that one of the two variables is larger than, greater than or equal to, less than, or equal to another value.

According to question

a represents the number of tables sold and y represents the number of chairs sold

Using a and y as variables, we get

a + y ≤ 18

100y + 400a ≥ 2900

Simplified,

100(y + 4a) ≥ 2900

y + 4a ≤ 29

Given the minimum number of tables that need to be sold, we evaluate using a = 10

y + 4(10) ≥ 29

y ≥ -11

y represents the number of chairs sold

therefore, y ≥ 0

Since we can't purchase -11  chair, we round up our result giving us y ≥ 0

Now

the store must sell a minimum of 10 tables and tables for $400 each

then

10*400 = $4000

which is more than worth of chairs and tables $2900

hence Zero possible solution.

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Related Questions

Are the nonmetal elements located on the left or right side of the periodic table?

Answers

Answer:

On the right side

Step-by-step explanation:

Only a small portion of the chart is nonmetals and they're on the right side. ALso sorry man, for the last quesiton about if metals or nonmetals make up most of the chart, i was wrong, its metals, sorry man lol.

a= 9 b= 7 and c= 12 Find A , B and C .solve the triangle. Round to the nearest tenth if necessary..

a= 9 b= 7 and c= 12 Find A , B and C .solve the triangle. Round to the nearest tenth if necessary..

Answers

First notice that angle C is a right angle, then:

\(\measuredangle C=90\)

Now, since this is a right triangle, we can find the measure of angle A using the trigonometric function sine:

\(\sin \theta=\frac{\text{opposite side}}{hypotenuse}\)

In this case, we have the following:

\(\begin{gathered} a=9 \\ c=12 \\ \sin A=\frac{a}{c}=\frac{9}{12}=\frac{3}{4} \\ \Rightarrow A=\sin ^{-1}(\frac{3}{4})=48.6 \\ \measuredangle A=48.6\degree \end{gathered}\)

Since the sum of the interior angles of a triangle equals 180, we can find the measure of angle B by solving the following equation:

\(\begin{gathered} \measuredangle A+\measuredangle B+\measuredangle C=180 \\ \measuredangle A=48.6 \\ \measuredangle C=90 \\ \Rightarrow48.6+\measuredangle B+90=180 \\ \Rightarrow138.6+\measuredangle B=180 \\ \Rightarrow\measuredangle B=180-138.6=41.4 \\ \measuredangle B=41.4\degree \end{gathered}\)

therefore, angle A measures 48.6 degrees and angle B measures 41.4 degrees

The midpoint of the segment as an ordered pair (-6,-1,) (-1,-6)

Answers

Answer:

Step-by-step explanation:

(-6,-1) & (-1,-6)

\(Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{-6-1}{2},\dfrac{-1-6}{2} \right)\\\\\\=\left(\dfrac{-7}{2},\dfrac{-7}{2} \right)\\\\\\\)

= (-3.5 , -3.5)

Answer:

\(\boxed{\sf{(-3.5 , -3.5)}}}\)

Step-by-step explanation:

This problem must be solved using the midpoint formula, which is similar to a slope formula.

Midpoint formula: \(\sf{(X_1,Y_1)}(X_2,Y_2)\)

\(\sf{(\dfrac{x_2+x_1}{2},\quad \dfrac{y_2+y_1}{2})}\)

y2=(-6)

y1=(-1)

x2=(-1)

x1=(-6)

Rewrite the problem and then solve it.

\(\left(\dfrac{-1-6}{2},\:\dfrac{-6-1}{2}\right)=-\sf{\dfrac{7}{2}, -\dfrac{7}{2}}\)

Dividing is another option.

-7/2=-3.5

(-3.5, -3.5)

As a result, the final answer is (-3.5, -3.5).

I hope this helps! Let me know if my answer is wrong or not.

Find mLJKL if mDKL = 80°
and mJKD=65º.

Answers

there is the answer to your problem

Find mLJKL if mDKL = 80and mJKD=65.

If f(x)=2x+6. And f(x)=12. What does x=__

Answers

Answer:

x=3

Step-by-step explanation:

f(x)=2x+6

f(x)=12

Hence:

2x+6=12

2x+6-6=12-6

2x=6

x=6/2

x=3

Write the following
as an
algebraic expression.
Subtract 3x + 6 from 8x -1.

Answers

Answer:

(8x - 1) - (3x + 6)

hope this helps

The graph shows a translation of the pre-image
function f(x) to the image function g(x).

Which describes the transformation of f(x) to g(x)?

The graph shows a translation of the pre-imagefunction f(x) to the image function g(x).Which describes

Answers

The graph displays the pre-image function f(x) being translated into the image function g. (x). A translation of 4 units to the right and 2 units up is required to change f(x) to g(x).

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables.

Functions are common in mathematics and are required for the formulation of physical connections.

The graph shows a translation of the pre-image function f(x) to the image function g(x).

Hence,the transformation of f(x) to g(x) is a translation of 4 units to the right and 2 units up.

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Find the perimeter. Simplify your answer.
4y-5
10y-4
7y+8
74-5

Find the perimeter. Simplify your answer.4y-510y-47y+874-5

Answers

(10y - 4) + (7y + 8) + (7y - 5) + (4y - 5) =

= 10y - 4 + 7y + 8 + 7y - 5 + 4y - 5 =

= 10y + 7y + 7y + 4y - 4 + 8 - 5 - 5 = 28y - 6

The answers for the problem is 28y-6

Please help‼️ domain and range‼️

Please help domain and range

Answers

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

Calculating the domain and range of the graph?

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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1,200 and 11 and you will get 13,200

Answers

Answer:

That is true!

\(1,200 * 11 = 13,200\)

Let me know if you need more help with multiplication. I may be able to help.

Have a great day.

if m∠1 = 11×1 +5 and m∠2= 8x - 15 find m∠2

if m1 = 111 +5 and m2= 8x - 15 find m2

Answers

the answer is to the equation is 10

look at the picture from my analysis below if you want a in-depth understanding
if m1 = 111 +5 and m2= 8x - 15 find m2

Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among his children. Write an expression for how many pieces each child received.

Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly

Answers

Answer: The expression is (c-7) / 3

Step-by-step explanation:

Let's say Adam has c pieces of candy

He took seven pieces for himself which means we can write this as c-7

He then divided this amount between his 3 children (c-7)/3

Multiplication and division questions that equal -8?
And another one for -15?

Pls and thank u <3

Answers

For negative 8

1. -4 x 2

2. -48 ÷ 8

For negative 15

1. -5 x 3

2. -60 ÷ 4

( Sorry if they aren't complex enough)

2 (3x + 6) = 3 (x - 10)

Answers

Answer:

x= -14

Step-by-step explanation:

Help please!! I need this answer!!​

Help please!! I need this answer!!

Answers

Answer: Store B and C sell at a lower unit price.

Step-by-step explanation:

Store B: $3.48/3 = $1.16 per pound.

Store C: $3.80/4 = $0.95 per pound.

Given right triangle jkl, what is the value of cos(l)? five-thirteenths five-twelfths twelve-thirteenths twelve-fifths

Answers

The value of the cosine ratio cos(L) is 5/13

How to determine the cosine ratio?

The complete question is added as an attachment


Start by calculating the hypotenuse (h) using

h^2 = 5^2 + 12^2

Evaluate the exponent

h^2 = 25 + 144

Evaluate the sum

h^2 = 169

Evaluate the exponent of both sides

h = 13

The cosine ratio is then calculated as:

cos(L) = KL/h

This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13

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Given right triangle jkl, what is the value of cos(l)? five-thirteenths five-twelfths twelve-thirteenths

HELP ASAP!!
What is the midpoint of the line segment graphed below?

HELP ASAP!!What is the midpoint of the line segment graphed below?

Answers

choice (A) is correct

hope it helps

HELP ASAP!!What is the midpoint of the line segment graphed below?

Please help ASAP thank you, see attachment

Please help ASAP thank you, see attachment

Answers

Step-by-step explanation:

1)

TV=TU+UV

32=TU+20

TU=32-20

TU=12

2)

As B is between A and C:

AC=AB+BC

AC=16+12

AC=28

Note:if you need to ask any question please let me know.

Smith City received 2. 45 inche of rain on Monday and 1. 72 inche of rain on Tueday. Write an equation howing a way to etimate to the nearet inch the total rainfall for the two day

Answers

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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solve for x i need help pls

solve for x i need help pls

Answers

Answer:

I have no clue I'm sorry:(

The closest answer I got is 6/5 in fraction form

Urgent please help. A survey asked customers the purchase price of their most recent new car. The results are shown in the cumulative frequency histogram below.

How many people participated in the survey?

A) 5
B) 169
C) 60
D) 48

Urgent please help. A survey asked customers the purchase price of their most recent new car. The results

Answers

The answer is B: 169

When you add together everyone who did the survey (from the bar graph) you should get 169 people based on the number of people who voted (shown on the right side of the graph).

15 points for both I need to turn it in tmr

15 points for both I need to turn it in tmr

Answers

Answer:

7) A

8) C

Step-by-step explanation:

7:

\(\frac{2}{3}\)x + 6 = 16  Substitute 15 for x

\(\frac{2}{3}\) x \(\frac{15}{1}\) + 6 = 16

\(\frac{30}{3}\) + 6 = 16

10+ 6 = 16

16 = 16 Checks

8)

3r - 2r - 8 = -8r + 10  Combine like terms

r - 8 = -8r + 10  Subtract r from both sides

r - r - 8 = -8r -r + 10

-8 = -9r + 10  Subtract 10 from both sides

-8 - 10 = -9r + 10 - 10

-18 = -9r  Divide both sides by -9

2 = r

Helping in the name of Jesus.

Im doing a practice assignment and im not the best at word problems Im not understanding the question

Im doing a practice assignment and im not the best at word problems Im not understanding the question

Answers

A sample statistic is is any quantity from the sample of a population.

We can see in the last option, that from the population (total of subjects of study) Kaisa, selected 84 of the total students. This fits in to the definition of sample statistic.

Thus, the correct option is the last one.

the length of a rectangle is 7 centimeters less than five times its width. its area is 6 square centimeters. find the dimensions of the rectangle.

Answers

If the length of a rectangle is 7 centimeters less than five times its width, the dimensions of the rectangle are 2 cm × 3 cm.

Let x be the width of the rectangle in centimeters. Then, the length of the rectangle is 5x - 7 centimeters.

The formula for the area of a rectangle is A = lw, where A is the area, l is the length, and w is the width. In this case, we are given that the area is 6 square centimeters, so we can set up the equation:

6 = (5x - 7)x

Expanding the expression on the right side, we get:

6 = 5x² - 7x

Moving all terms to one side, we obtain:

5x² - 7x - 6 = 0

We can now solve for x using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 5, b = -7, and c = -6.

Plugging in these values, we get:

x = (7 ± √(7² - 4(5)(-6))) / 2(5)

x = (7 ± √(169)) / 10

x = (7 ± 13) / 10

The two possible values for x are x = 2 and x = -1/5. Since the width cannot be negative, we reject the negative solution and conclude that the width of the rectangle is 2 centimeters. Therefore, the length of the rectangle is 5(2) - 7 = 3 centimeters.

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Part C
(Click for a video for parts C and D)
How will doubling the number of students change the cost per student? To test your
ideas about that question, find answers to these related questions.
1. Find the change in per-student cost as the number of students increases in the
following ways.
a. from 20 to 40
b. from 40 to 80

Answers

a hope this helps :)

Tree Cutting Problem An Investigation (T/I) I The value of the wood in a tree over time is given by V(t) 224, where Vis the current value of the wood in the tree in S and t is time in years. Ft We have, the discount factor a) Write an equation for the present value of the wood in the tree, A(t) (2 marks) b) Rewrite the present value equation using the natural logarithm (2 marks) c) We want to maximize the present value of the wood, find the first order conditions for a maximum and solve fort". (4 marks) d) If the discount rate, ris 4%, when should we cut the tree down? (2) e) Use the second order conditions to verify that you have indeed found a maximum (2)

Answers

a) The present value of the wood in the tree, A(t), can be expressed using the given discount factor F as:

A(t) = V(t) / (1 + r)^t

Where V(t) represents the value of the wood in the tree at time t, and r is the discount rate.

b) To rewrite the present value equation using the natural logarithm, we can use the property of logarithms that states log(a/b) = log(a) - log(b):

A(t) = V(t) * (1 + r)^(-t)

ln(A(t)) = ln(V(t)) - t * ln(1 + r)

c) To find the first-order conditions for maximizing the present value of the wood, we need to differentiate the equation from part (b) with respect to time t and set it equal to zero:

d/dt [ln(A(t))] = d/dt [ln(V(t)) - t * ln(1 + r)] = 0

Solving for t in the above equation will give us the value of t that maximizes the present value of the wood.

d) If the discount rate r is 4%, we can substitute this value into the equation from part (b) and solve for t:

ln(A(t)) = ln(V(t)) - t * ln(1 + 0.04)

Given the specific values for V(t) and A(t) are not provided, we cannot determine the exact value of t in this case.

e) To verify that we have indeed found a maximum, we can use the second-order conditions. This involves taking the second derivative of ln(A(t)) with respect to t and evaluating it at the critical point (t-value obtained from part (c)).

If the second derivative is negative at the critical point, it confirms that the present value of the wood is maximized.

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4^5 write verbal expression

Answers

Four to the fifth power (or to the power of 5)

Answer: Four to the Fifth Power

Step-by-step explanation: A verbal expression is when you give a word to word written response to the expression or equation.

the area of a square frame is 55 square inches . what is the length of one side of the frame to the nearest tenth of an inch ?

Answers

Answer:

7.4

Step-by-step explanation:

If you take 55 and square root it, you will get your answer. This is because to get an area you take the 2 sides and multiply it to get the final answer and the sides are equal because it is a square.

I hope this helps

Kyla runs around a 400-meter track at a constant speed of 200 meters per minute. How many
minutes will it take Kyla to run 4 laps around the track?
Hint - 400 meters is one lap around a track

Answers

Answer: 8

Step-by-step explanation:

Answer:

If i'm not wrong 8 minutes.

Step-by-step explanation:

If you add all the meters together its adds up to 1600. It says you run 200 meters per minute so it will take 8 minutes to run around the track 4 times.

New employees at a company are given a proficiency test. The test scores are approximately normally distributed with a mean of 250 and a standard deviation of 10. A new employee scores 239 on the exam. What is the employee's z-score?

Answers

The employee's z-score is -1.1, suggesting that the employee's score is below average compared to other employees who took the proficiency test.

To find the employee's z-score, we need to calculate the number of standard deviations the employee's score is away from the mean. This z-score will tell us how well the employee performed relative to the rest of the population.

1. Calculate the z-score using the formula: z = (x - μ) / σ, where x is the employee's score, μ is the mean, and σ is the standard deviation.

  z = (239 - 250) / 10

  z = -11 / 10

  z = -1.1

2. The calculated z-score of -1.1 indicates that the employee's score is 1.1 standard deviations below the mean. A negative z-score indicates a score below the mean.

In summary, the employee's z-score is -1.1, suggesting that the employee's score is below average compared to other employees who took the proficiency test.

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