An online furniture store sells chairs for $150 each and tables for $700
each. Every day, the store can ship no more than 24 pieces of furniture
and must sell no less than $5100 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.
Inequality 1: y
Inequality 2: y

Answers

Answer 1

Minimum of 13 chairs must be sold to reach a target of $6500 and a max of 20 chairs can be solved.

What is sold ?

Something that's sold has been exchanged for money. When new neighbors buy the house across the street, you'll see a sign appear in its front yard that says "Sold."

Given that:

Price of chair = $150

Price of table = $400

Let the number of chairs be denoted by c and tables by t,

According to given condition:

t + c = 30 ----------- eq1

t(150) + c(400) = 6500 ------ eq2

Given that:

10 tables were sold so:

t = 10

Putting in eq1

c = 20 (max)

As the minimum target is $6500 so from eq2

10(150) + 400c = 6500

400c = 6500 - 1500

400c = 5000

c = 5000/400

c = 12.5

by rounding off

c = 13

So a minimum of 13 chairs must be sold to reach a target of $6500.

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Related Questions

Y-2/3x=-6. Find the value of y.

Answers

add 2/3 to both sides
y-2/3=-6

y-2/3 = -6
+2/3 +2/3


simplify: add the numbers

y=-16/3


hope that helped

Question 1 of 7 ✓
Question 1
>
The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function. Which
statements about the function are true? Select all that apply.
A

Answers

The parking cost is the function of the amount of time the car is parked and for 1 hour the cost of parking is $3 with a maximum amount of $12 for parking. The correct statements are C and D.

What is a function?

A function is a relationship between the dependent and independent variables. The independent variables are function inputs, while the dependent variables are function outputs. The value of a dependent variable is determined by the input.

Here in the graph, the cost of parking is varying with time. It means that the cost of parking is dependent on the time of parking but the maximum amount for parking is $12 for any number of hours of car parking.

Hence, the correct statements are C and D.

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a poll is conducted the day before a mayoral race. the democratric candidate seems to have an edge, as 53 % of likely voters favor her. the margin of error for this poll is 2.5 percentage points. find the confidence interval. should the democratic candidate feel confident that she will win?

Answers

we would expect the result to be within 3 percentage points of the true population value 95 of those times.

sample of the population, we know that the result probably won’t exactly match the “true” result that we would get if we interviewed everyone in the population.

The margin of sampling error describes how close we can reasonably expect a survey result to fall relative to the true population value.

A margin of error of plus or minus 3 percentage points at the 95% confidence level means that if we fielded the same survey 100 times,

we would expect the result to be within 3 percentage points of the true population value 95 of those times.

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Convert 940 hours into a year Round answer to the nearest hundredth

Answers

Answer:

0.41 years

Step-by-step explanation:

940 hours is equivalent to 0.41 years. When rounded to the nearest hundredth, that would be 0.00 years. It is not possible to convert hours directly to years because they are different units of time measurement. Years are a measure of the time it takes for the Earth to orbit around the Sun, while hours are a measure of time within a day. To convert hours to years, you would need to know the number of hours in a year, which can vary depending on the number of days in the year and the number of hours in a day.

Answer:

Hi!

I think the answer you might be looking for is 0.11

I hope this helped you :)

The weather forecast predicted 104 degrees Fahrenheit for the temperature on a summer day in Phoenix. The actual temperature was​ 103.5 degrees​ Fahrenheit. What was the percent error in the predicted temperature? You may round your answer to two decimal places.​

Answers

The percent error in predicted temperature by weather forecast is -0.48%.

To find the percent error in the predicted temperature, we need to use the formula:

[tex]percent\,error=\frac{observed \,value-expected \,value}{expected \,value *100}[/tex]

Plugging in the given values, we get:

                      [tex]percent error=\frac{103.5-104}{104*100}\\\\\\=\frac{-0.5}{104*100} \\\\=-0.48[/tex]

So, the percent error in the predicted temperature is about -0.48%. This means that the predicted temperature was about 0.48% lower than the actual temperature.

Rounded to two decimal places, the percent error is -0.48%.

What is percent error?

Percent error is a measure of how accurate a measurement or prediction is compared to the true or accepted value. It is calculated by taking the difference between the observed or measured value and the expected or true value, and dividing it by the expected value, and then multiplying by 100 to express the result as a percentage.

For example, if the true value of a quantity is 10 and it is measured to be 9.5, the percent error would be:

percent error = (9.5 - 10) / 10 * 100 = -0.5 / 10 * 100 = -5%

This would mean that the measured value is 5% lower than the true value.

Percent error can be positive or negative, depending on whether the measured value is higher or lower than the true value. A positive percent error means the measured value is higher than the true value, while a negative percent error means the measured value is lower than the true value. A percent error of zero means that the measured value is exactly the same as the true value.

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The percent error in predicted temperature by weather forecast is -0.48%.

To find the percent error in the predicted temperature, we need to use the formula:

percent error=observed value-expected value/expected value*100

Now, we get

percent error=103.5-104/104*100

=-0.48

So, the percent error in the predicted temperature is about -0.48%. This means that the predicted temperature was about 0.48% lower than the actual temperature.

Rounded to two decimal places, the percent error is -0.48%.

What is percent error?

Percent error is a measure of how accurate a measurement or prediction is compared to the true or accepted value. It is calculated by taking the difference between the observed or measured value and the expected or true value, and dividing it by the expected value, and then multiplying by 100 to express the result as a percentage.

For example, if the true value of a quantity is 10 and it is measured to be 9.5, the percent error would be:

percent error = (9.5 - 10) / 10 * 100 = -0.5 / 10 * 100 = -5%

This would mean that the measured value is 5% lower than the true value.

Percent error can be positive or negative, depending on whether the measured value is higher or lower than the true value. A positive percent error means the measured value is higher than the true value, while a negative percent error means the measured value is lower than the true value. A percent error of zero means that the measured value is exactly the same as the true value.

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PLEASE HELP IMMEDIATELY GIVING BRAINLIEST

Answers

Answer:

B: -2≤m

Step-by-step explanation:

3m-1≥-7

     +1. +1

3m≥-6

/3.    /3

m≥-2

-2≤m

B is the correct answer

hopes this helps

These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
HHH
Town B
15 20 25 30
58
HH
0
5
10
15 20 25
30
35
40
45 50 55 60
Degrees (F)
Compare the shapes of the box plots.
• A. The distributions for both towns are symmetric.
B. The distribution for town A is symmetric, but the distribution for
town B is negatively skewed.
C. The distributions for both towns are positively skewed.
• D. The distribution for
town A is symmetric, but the distribution for
town B is positively skewed.

Answers

The distribution for town A is symmetric, but the distribution for town B is positively skewed.

Define skew.

Skewed lines are two lines that are not parallel to one another, neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist in various planes. Two lines in a two-dimensional space can either intersect or run parallel to one another. Skew lines can never exist in 2D space as a result. Skew lines occur frequently in real-world circumstances. Let's say there is a line on the ceiling and a line on the wall. These lines can be skew lines because they lie in distinct planes if they are not parallel to one another and do not meet.

Given

By comparing the shapes of the box plots,

D. The distribution for town A is symmetric, but the distribution for town B is positively skewed.

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Find the area of the triangle.

Answers

Step-by-step explanation:

answer on the picture....

Simplify the fractions, show your work
35/90
3/36

Answers

Answer:

Step-by-step explanation:

35/90 gets devided by 5

7/18

3/36 gets devided by 3

1/12

Answer:35/90 = 7/18

            3/36=1/12

Step-by-step explanation:

for 35/90 you divide both sides by 5 giving you 7/18 and 3/36 you divde both by 3 giving you 1/12.

Hope this helped

32 feet
21 feet
< Previous
8 feet
12 feet
Which of these boards could be used for his project?
OA, B, and C
OA, B, and D
OD, C, and A
OD, C, and B

Answers

Work is done by A in one day [tex]$=\frac{1}{15}$[/tex]

By B [tex]$=\frac{1}{12}$[/tex]

[tex]\mathrm{C}=\frac{1}{20}[/tex]

boards could be used for his project

Together in 1 Day [tex]\text { Together in } 1 \text { Day }=\frac{1}{15}+\frac{1}[/tex][tex]{12}+\frac{1}{20}=\frac{4+5+3}{60}=\frac{12}{60}=\frac{1}{5}[/tex]

2 days work [tex]$=\frac{2}{5}$[/tex]

Remaining work [tex]$=1-\frac{2}{5}=\frac{3}{5}$[/tex]

one day work of [tex]$\mathrm{A}, \mathrm{B} \Rightarrow \mathrm{A}+\mathrm{B}=\frac{1}{15}+\frac{1}{12}=\frac{4+5}{60}=\frac{9}{60}=\frac{3}{20}$[/tex]

[tex]$$\begin{aligned}& (A+B) \text { work for } t \text { days }=\frac{3}{20} t=\frac{3}{5} \\& t=4 \text { days }\end{aligned}$$[/tex]

A and B will complete the work in 4 days.

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What is the distance formula?

Answers

d = /(x2-x1)2 + (y2 - y1)2

Answer: The answer is B

Step-by-step explanation:

Brainliest please?

You have 24 socks in your drawer, 13 red socks, 7 blue socks, and the rest are white. You choose 2 socks, without replacing the first one. What is the probability you will get two blue socks?

Answers

The probability to get two blue socks will be 0.076.

What is probability?

Probability is a method for determining how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Probability of event to happen P(E) = Number of favourable outcomes/Total Number of Outcomes

Given, a total of 24 socks in the drawer,  13 red socks, 7 blue socks, and the rest are white

To choose 2 socks, without replacing the first one

probability = [tex]\frac{7}{24} * \frac{6}{23}[/tex] = 0.076

Hence, the probability to get two blue socks will be 0.076.

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An elected official surveyed residents of a town to assess their satisfaction with city services. the survey includes both those who own and those who rent their homes. level of satisfaction high medium low total owners 26 34 18 78 renters 15 12 5 22 total 41 46 23 110 what proportion of those surveyed have low satisfaction with city services? 0.2091 0.2308 0.2644 0.3727

Answers

The proportion we get is 0.291 and that matches up with our first choice that we see.

What is proportion?

A proportion simply means the amount or quantity of a thing present in another thing taken as whole.

What are the applications of proportion?

The main purpose of stating stuff in proportions is to compare shares. If 2 people receive shares in a 1:1 proportion, it means they have exactly equal shares. If 2 people invest in something and one partner invests $3 for every $2 the other invested, the major partner would expect the profits to be divided 3:2 in their favor.

This issue informs us that a town's residents were polled by an elected official to see how satisfied they were with the town's services. Both homeowners and renters were included in the survey. The following charts show the percentage of respondents that are unsatisfied with city services. In order to calculate the percentage of surveys with low satisfaction, we only need to consider the third column to the right, which is labeled "low satisfaction," and the number we are interested in is the 1, which corresponds to the row labeled "total," because it represents the total number of survey respondents who have low satisfaction, whether or not they are home owners or renters. This number is 23 points.

But that only represents the whole population of those with low levels of satisfaction. We can find the total number of respondents in the cross section between the total column and the total row, giving us 110 points. We wish to multiply that total for the low level by the entire number of respondents. Therefore, if we want that proportion right away, we need divide 23 by 110 points. When we round off to four decimal places, the result is 0.291, which corresponds to our initial option that we see.

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Answer:

A - 0.2091

Step-by-step explanation:

I took it

Your algebra final exam is worth 150 points and contains 60 questions. Some of the questions are worth two
points and some are worth five points. How many two-point and five-point questions are on the test?

Answers

There are 50 two-point questions and 10 five-point questions on the test.

What is a linear equation in two variables?

A linear equation in two variables is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables. The graph of a linear equation in two variables is a straight line, and the equation represents a linear relationship between the variables.

To solve this problem, you can use the fact that the total number of points on the test is 150 and that some of the questions are worth two points and some are worth five points.

Let x represent the number of two-point questions on the test, and let y represent the number of five-point questions on the test.

We can set up the following system of equations to represent the given information:

2x + 5y = 150

x + y = 60

To solve this system, you can use the substitution method. First, solve the second equation for y:

y = 60 - x

Substitute this expression for y into the first equation:

2x + 5(60 - x) = 150

This simplifies to:

2x + 300 - 5x = 150

Combine like terms:

-3x = -150

Divide both sides by -3:

x = 50

Substitute this value for x into the second equation to find the value of y:

y = 60 - 50 = 10

Hence, there are 50 two-point questions and 10 five-point questions on the test.

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Find the value of y.
Help me pls

Answers

Answer:

y= 35

Step-by-step explanation:

check the attached file

What is the solution of the system of equations below?
x + 3y = 7
2x - y = 7

Answers

Answer:

y = 1

x = 4

Step-by-step explanation:

x + 3y = 7 → ( 1 )

2x - y = 7 → ( 2 )

First, let us make x the subject in equation ( 1 ).

x = 7 - 3y  → ( 3 )

Let us find the value of y.

For that let us take equation (1) & replace x with ( 7 - 3y ).

2x - y = 7

2 ( 7 - 3y ) - y = 7

Solve the brackets.

14 - 6y - y = 7

Combine like terms.

14 - 7y = 7

Subtract 14 from both sides.

-7y = 7 - 14

-7y = -7

Divide both sides by -7.

y = 1

Let us find value of x

For that let us take equation (3) & replace y with 1.

x = 7 - 3y

x = 7 - 3 × 1

x = 7 - 3

x = 4

PLEASE HELP!

determine the truth value of each conditional.

1. Explain your reasoning or give a counterexample. if a figure has four congruent angles then the figure is a square.

2. if the sidewalks are wet, then it has been raining.

3. Write a biconditional for the following conditional. Determine the truth value of the new statement. If two lines have the same slope, then they are parallel.

Answers

1. True
2. Not true. It could’ve been a lawn sprinkler
3. Two lines have the same slope if and only if they are parallel. True

7 (-5r+3) - 7r ≤ -29+8r solve the inequality ​

Answers

The value of r for the given inequality 7(-5r + 3) - 7r ≤ -29 + 8r is r ≥ 1.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

7(-5r + 3) - 7r ≤ -29 + 8r

To determine the value of r, simplify the inequality,

-35r + 21 - 7r ≤ -29 + 8r

21 - 42r  ≤ -29 + 8r

21 + 29  ≤ 42r + 8r

50  ≤ 50r

1 ≤  r

Or r ≥ 1.

The value of r is greater than or equal to 1.

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A game uses an unbiased die with faces numbered 1 to 6. The die is thrown once. If it shows an even number this number is doubled to get the final score. If an odd number is thrown then the die is thrown again and the final score is the sum of the numbers shown on the two throws.

Given that the dice was thrown twice. What is the probability that the final score is 8

Answers

The decibel is 8 because I took the test out in Birmingham and bought sandwich and then slept with a bird

Using the function f(x) = 7+ 4x, what is the value of f(-5) ?

Answers

Using the function f(x) = 7+ 4x, -13 is the value of f(-5).

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We might create a function with a set of persons as the domain X and a set of numbers as the codomain. For instance, if the codomain Y is the collection of whole integers, then define the function c so that its output, c(x), equals the number of offspring of every given x.

Four main categories may be used to classify different sorts of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

Given that,

f(x) = 7 + 4x

now, putting the value of f(-5), we get -

f(-5) = 7 + 4(-5)

or, f(-5) = -13

Using the function f(x) = 7+ 4x, -13 is the value of f(-5).

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PLEASE ANSWERE ASAP

In △XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.

AC = 7, AB = 5, and XY = 24. What is the perimeter of △XYZ?

Enter your answer in the box.

Answers

Answer:

AB = ½XZ. XZ = 5*2=10. (The middle line of the triangle)

AC = ½YZ. YZ = 7*2=14. The middle line of the triangle)

XY+YZ+XZ=P. P=110+14+24.P=48

Step-by-step explanation:

A garden snail travels at a rate of 2.2 feet per minute.
At this rate, how long will it take for the snail to travel 55 feet?

At this rate, it will take the snail [___] minutes to travel 55 feet.

HELP WHAT IS THE ANSWER!!!!

Answers

25 minutes.

Brainly requires I make this submission 20 characters


A man spends 70% of his income and craves rs 2580 What is his income? Full explanation please

Answers

Answer:

• Statement of the given problem,

⚫ A man spends 70% of his income and saves Rs. 2550. What is his income?

According to above data,

⚫ the required income of the

given man

= 2550/(1 - 70/10)

☐ = 2550/0.30

= 8,500 (Rs) [Ans]

20 POINTS!!!!!!

Write 0.000000648 in scientific notation.

648 × 109

6.48 × 107

6.48 × 10−7

648 × 10−9

Answers

The scientific notation of the given number will be equal to 6.48 × 10⁻⁷. Hence, option C is correct.

What is a scientific notation?

A way to express numbers that are either too large or too little to be conveniently stated in decimal form is through scientific notation. It is also known as "scientific form" in Britain because researchers, mathematicians, and engineers frequently use it for intricate calculations involving large numbers.

As per the given information in the question,

The given number is,

0.000000648

As we move towards the right of the given point then the power will be in negative form.

So, it can also be written as,

6.48 × 10⁻⁷

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the answer is C:

6.48 × 10−7

A triangle has side lengths of (9v-7w)(9v−7w) centimeters, (7v+10x)(7v+10x) centimeters, and (8x+5w)(8x+5w) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Perimeter of triangle is P= 18x+16v-2w.

How do triangles work?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a single point.

                      The triangle's three angles add up to a total of 180 degrees.

.

side lengths of a triangle are (9v-7w),(7v+10x),(8x+5w) centimetres.

 We know that perimeter of the triangle is sum of all the three sides.

So here perimeter p= addition of all sides of a triangle.

Therefore ,

      P = ( 9v - 7w) + (7v + 10x ) + ( 8x + 5w)

          = 9v - 7w + 7v + 10x + 8x + 8w

           = 18x + 16v - 2w

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presence, a statistical issue, refers to the finding that a systematic relationship exists between the two variables of interest in the population. true false

Answers

Presence: a statistical issue, refers to the finding that a systematic relationship exists between the two variables of interest in the population.

The above statement is False.

Presence refers to the finding that there is a systematic relationship between two variables in the population of interest.

Direction means knowing if the relationship is positive or negative.

Strength means knowing how long the relationship will last.

Systematic relationship is also known as Covariance. Covariance is a statistical term that refers to the systematic relationship between two random variables such that changes in the other reflect changes in one.

The relationship between probability and statistics usually falls into one of three categories: deterministic, random, or statistical. Statistical relationships are a hybrid of deterministic and random relationships.

A deterministic relationship involves an exact relationship between two variables. For example, let's say you earn $10 an hour. Earn $10 more for every hour you work.The random relationship is a bit misleading, as there is no relationship between the variables. However, random processes may make it seem related. For example, he spent $20 in the lottery and he won $25. This "win" is a coincidence, but you might think that for every $20 he spends on tickets, he gets $25 more (which is wrong, of course). TheStatistical relation is a hybrid of his two relations above. This is a relationship that is part deterministic and part random. For example, there is a statistical relationship between caloric intake and weight gain. However, the relationship is not exact. How much weight you gain depends on many other factors as well as randomness.

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which of the following is not an indication of potential multicollinearity problems? a. the sign on the standard error of the estimate is positive. b. a sign on a regression slope coefficient is negative when the sign on the correlation coefficient was positive. c. the standard error of the estimate increases when a variable enters the model in the presence of other independent variables. d. an independent variable goes from being statistically significant to being insignificant when a new variable is added to the model.

Answers

The statement that is not an indication of potential multicollinearity problems is  "A sign on a regression slope coefficient is negative when the sign on the correlation coefficient was positive"

The multicollinearity is defined as the theory that several independent variables in the given model is correlated. The variables that does not affected by any other variable is called independent variable

But here the independent variables will be correlated. in option b  when the sign on the correlation coefficient was positive a sign on a regression slope coefficient is negative. So the independent variables in the given statements are not correlated

In other options the independent variables are correlated

Therefore, the statement that does not shows an of potential multicollinearity problems is option B

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6x (2x - 1) I can add, subtract, and multiply polynomials.

Answers

Addition :

[tex](12x^{2} - 6x) +( 2x + 1 )= 12x^{2} -4x + 1[/tex].

Substraction :

[tex](12x^{2} - 6x) - (2x + 1) = 12x^{2} -8x - 1[/tex].

Multiplication :

[tex]( 12x^{2} -6x )* 2x = 24x^{3}-12x^{2}[/tex].

What is a Polynomial ?

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x2+x-12 is an illustration of a polynomial with a single variable. There are three terms in this example: x2, x, and -12.

The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases." There is no limit to the number of terms that can exist in a polynomial.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). The phrase is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.

The polynomial is 6x ( 2x- 1) = [tex]12x^{2} - 6x[/tex]

Adding a polynomial say 2x + 1 the result is

[tex]12x^{2} - 6x + 2x + 1[/tex]

= 12x^2 - 4x + 1

Subtracting 2x+ 1 result is,

[tex]12x^{2} - 6x - (2x + 1)[/tex]

[tex]= 12x^{2} -8x - 1[/tex].

Multipling with 2x we get,

[tex]( 12x^{2} -6x )* 2x[/tex]

[tex]= 24x^{3}-12x^{2}[/tex].

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Find the area of the figure.

Answers

The area of the figure in the first, second, and third cases will be 76 square ft, 120 square cm, and 87.5 square in, respectively.

What is a trapezoid?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

The area of the trapezoid will be calculated as,

A = 1/2(sum of parallel sides) x height

8. The area of the figure is calculated as,

A = 1/2 (6 + 6 + 7) x 8

A = 76 square ft

9. The area of the figure is calculated as,

A = 1/2 (8 + 4) x 4 + 8 x 12

A = 24 + 96

A = 120 square cm

10. The area of the figure is calculated as,

A = 1/2 (5 + 10) x 5 + 5 x 10

A = 37.5 + 50

A = 87.5 square in

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Which graph is correct?

Answers

Answer:

The answer is A. Hope this helps

Other Questions
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