The staff at Aretha's Furniture built 60 chairs and stools in one day. It takes one person 3 hours to produce a chair and 2hours to build a stool. How many of each were made if the staff of 12 people worked 8 hours each? x+y= 60; 3x + 2y = 96 x + y = 96; 2x + 3y = 60 You can use a system of equations to find the answer. Let x = the number of chairs, and y = the number of stools. x + y = 60; 2x + 3y = 12 x+y= 60; 3x + 2y = 12 +​

Answers

Answer 1

Answer:

Number of chairs = 24

Number of stools = 12

As about the question number 2, I think you should check whether the question you copied is correct are not.

Step-by-step explanation:

1. One person,

Three hours for a chair and two hours for a stool

Therefore, 12 people working for 8 hours;

Per person produced two chairs and one stool as 3+3+2=8 hours

12×2= 24 chairs and 12×1=12 stools.


Related Questions

FIRST CORRECT ANSWER GETS BRAINLIEST:



In the African nation of Niger, French is the official language, while in Nigeria, English is the official language. Why would these two countries have different official languages that are European In

origin?

They were colonized by different European countries

They are historically at war with one another.

They needed a lingua franca to be able to communicate.

Answers

Step-by-step explanation:

They needed a lingua franca to be able to communicate.


Pls help peeps would be appreciated

Answers

Answer:

A.

Because it has it two sides equal

Please help me with this math problem!! :) NO LINKS PLEASE!!

Answers

Answer:

2 more

Step-by-step explanation:

you can only get 1 of everything 2 times

this is - the outfit she already made

3 - 1 = 2   - 1 = 1

7 - 1 = 6   - 1 = 5

4 - 1 = 3   - 1 = 2

2 - 1 = 1    - 1 = 0

who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?

Answers

Answer:

I believe Descartes

Step-by-step explanation:

René Descartes was  one of the key figures in the Scientific Revolution of the 17th Century.  

Megan works at Amazon’s warehouse. She is responsible for packing boxes into trucks for shipment. Each truck can hold 22 boxes, and she needs to ship 539 boxes total.
Megan thinks she can fit all 539 boxes into 24 trucks. Is her estimate correct? Why or why not?

How many trucks will Megan need to pack all 539 boxes? (show work )

Answers

Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.

Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.

539/22=24.5. Since there is a remainder, you will need 25 trucks total

[tex] \tt\blue{Pwe \: \: \: POINTS }[/tex]​

Answers

Answer:

thank you pare XD

Step-by-step explanation:

(≧▽≦)(≧▽≦)

someone please help me i swear i'll give brainliest

Answers

I think this is right.

PLS HELP ME I DON'T GET IT

Answers

Answer:

  (a) $14,912 saved

  (b) $58,000 aid needed

Step-by-step explanation:

(a)

Nola is saving $200 each month. That means she will have saved 60 times that amount after 60 months:

  60 × $200 = $12,000

When she adds that to her current savings she will have saved a total of ...

  $12,000 +2,912 = $14,912 . . . by the time she starts college

__

(b)

The figure is telling you Nola will need $72,912 for 4 years of college. If she funds $14,912 from her own savings, then she will need an additional amount of ...

  $72,912 -14,912 = $58,000 . . . . amount of financial aid needed

what is 3 1/3, 3.337,33/10,3.11 from least to greatest

Answers

Answer:

1/3 < 3 < 33/10 < 3.337 < 3.11

Step-by-step explanation:

A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____.

Answers

Answer:  y = -(3/7)x - (36/7)

Step-by-step explanation:

Let's convert -3x - 7y = 10 to standard slope intercept form:  y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

-3x - 7y = 10

-7y = 3x + 10

y = -(3/7)x - (10/7)

This line has a slope of -(3/7).  Any line that is parallel will have the same slope, so we can write y = -(3/7)x + b to start our new line.  

We want a value of b that forces the line to go trough point (-5,-3).  Use this point in the partial equation and solve for b:

y = -(3/7)x + b

-3 = -(3/7)(-5) + b

-3 = (15/7) + b

b = -3 - (15/7)

b = -(21/7) - (15/7)

b = -(36/7), or -5 1/7

y = -(3/7)x - (36/7)

if p(x)=3x+1, what is the value of p(-2) ? *

Answers

Answer:

p(-1)= -5

p(2)= 19

Answer:

-5

Step-by-step explanation:

p(x)=3x+1

p(-2)=3(-2)+1

p(-2)=-6+1

p(-2)=-5

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

x= -3

y= 1

Step-by-step explanation:

You can graph this on Desmos Graphing Calculator and look at the vertex on the graph.

Convert 1 = 4 to polar form.

Answers

Answer:The inverse tangent of 14 is θ=14.03624346° θ = 14.03624346 ° . This is the result of the conversion to polar coordinates in (r,θ) form.

Step-by-step explanation: i think this may help you

Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (3,2), (6,0), (3,-2)
Hint: Start by graphing the points.
Distance Formula: d= V(x2-x1)2 + (y2 - y1)2
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid

Answers

The quadrilateral with vertices at the  points: (0,0), (3,2), (6,0), (3,-2) is a square

The vertices (or coordinates) of the quadrilateral is given as:

[tex](x,y) = (0,0), (3,2), (6,0), (3,-2)[/tex]

Calculate the distance between subsequent points, using the following distance formula

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]AB = \sqrt{(0 -3)^2 + (0 -2)^2}[/tex]

[tex]AB = \sqrt{13}[/tex]

[tex]BC = \sqrt{(3 -6)^2 + (2 -0)^2}[/tex]

[tex]BC = \sqrt{13}[/tex]

[tex]CD = \sqrt{(6 -3)^2 + (0 --2)^2}[/tex]

[tex]CD = \sqrt{13}[/tex]

[tex]DA = \sqrt{(3 -0)^2 + (-2 -0)^2}[/tex]

[tex]DA = \sqrt{13}[/tex]

Notice that the sides of the quadrilateral are congruent.

Hence, the quadrilateral is a square

Read more about quadrilaterals at:

https://brainly.com/question/1543115

Answer:

it's not a

Step-by-step explanation:

write the equation of the line with slope -3/2 passes through the point (-12,16)​

Answers

Answer:

Step-by-step explanation:

You have two pieces if information: the slope of a line and a point on the line. So you can use the "point-slope" formula in order to write the equation of this line. It is a fill-in-the-blank type of formula.

y - y1 = m(x - x1)

In this fill-in-the-blank formula the y1, the m, and the x1 will be filled in with the numbers you were given.

The problem gave the slope as -3/2 , this is your m. On these linear equation problems and formulas, m always stands for the slope.

So fill that in:

y - y1 = -3/2 (x - x1)

They also gave you a point, that is the (x1, y1) that you need to fill in the formula. The point was (-12, 16), so -12 will be your x1 and 16 will be your y1. Fill it in!

y - 16 = -3/2 (x - -12)

Simplify that ugly 'minus a negative' in the parenthesis.

y - 16 = -3/2 (x + 12)

If you were never told what form of equation to write, or they said "any form of the equation", then you're done!

This is in "point-slope" form.

y - 16 = -3/2(x+12) Ta-da!

If you need to change it to "slope-intercept' form then there are a few more steps.

y - 16 = (-3/2)x + (-3/2)12

y - 16 = (-3/2)x - 18

+16 +16

y = -3x/2 - 2 This is y=mx+b (called slope-intercept form)

Evaluate P(3, 3)

A. 1
B. 9
C. 6

Answers

Answer:

6

Step-by-Step explanation:

P (n,k) where n=k is equal to n!

So, P (3,3)  = 3! = 6

Generally, P (n,k) = n!/(n-k)!

Can someone please take the time out of their day and help me with this question

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] \red {\mathbb{ \underline { \tt By \: using \: Pythagoras \: theorm}}}[/tex]

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ x {}^{2} = (7 {}^{2} + 6 {}^{2} )ft {}^{2} \\ x {}^{2} = (49 +3 6)ft {}^{2} \\ x {}^{2} = 85 ft\\ x = \sqrt{85 } ft \\ [/tex]

the length of missing side= √85=9.2 ft

Solve For P (pls answer quick)

Answers

Answer:

D

Step-by-step explanation:

The lifespan of a monarch butterfly is about 9 months. Assuming a 30-day month, how many minutes old is the butterfly?

Answers

Answer:

So 9 months is 273 days and 394200 minutes so if the butterfly spends  30 days means one month so it is 43800 minutes old .

hope it gonna help you.

Step-by-step explanation:

Study the system of equations.
x + 7y < 14
x – 2y < 10
Which ordered pair is a solution of this system?
(-1, 3)
(0, 3)
(1, 3) (3, 0)

Answers

Answer:

(3,0)

Step-by-step explanation:

Find the length of the second base of a trapezoid with one base measuring 18 feet, a height of 5.3 feet, and an area of 125.4 square feet.​

Answers

Answer:

29.32 feet

Step-by-step explanation:

area of a trapezoid = height/2 * (first base + second base)

125.4 = 5.3 / 2 * (18 + second base)

125.4 = 2.65 * (18 + second base)

We want to solve for the second base. To do this, we can start by isolating the (18+second base) by dividing each side by 2.65

47.32 = 18 + second base

subtract 18 from both sides to solve for the second base

29.32 = second base

Determine the largest integer value of x in the solution of the following inequality.
-5x + 6 > -5

Answers

Answer:

x=2

Step-by-step explanation:

-5(2)+6= -4

-4 is greater than -5

What is the Equation of the line? slope: undefined; (7,-9)

Answers

Answer:

x = 7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

undefined slope means that there's a vertical line through the x-axis.

And since the point is at (7,-9) you only need to focus on the value of x, which in this case, is 7.

PLZ HELP MEEEEE GIVEING BRAINLYEST

Answers

Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

4

x

2

y

3

Step-by-step explanation:

Answer:

[tex]4x^3y^4[/tex]

Step-by-step explanation:

Valeria works in a law office. Her annual salary is $24,000. Valeria pays income tax at a rate of 15% on her earnings. How much income tax does Valeria pay?

A. $3,600

B. $1,200

C. $360

D. $12,000

Answers

Answer:

A.$3,600

Step-by-step explanation:

24,000*15% = 3600

or

24,000*0.15 = 3600

Answer:

A

Step-by-step explanation:

24000x15/100

Solve the system using elimination.
x − 4y = 4
3x − 4y = −12

A. (−2,112)

B. (−8,−3)

C. (−8,9)

D. (−2,−112)

Answers

Answer:

B. (-3,-8)

Step-by-step explanation:

I have aced tests on these. You can trust this is correct - plus it's verified by a calculator.

Answer:

B

Step-by-step explanation:

x - 4y = 4 → (1)

3x - 4y = - 12 → (2)

Multiplying (1) by - 1 and adding to (2) will eliminate the y- term

- x + 4y = - 4 → (3)

Add (2) and (3) term by term to eliminate y

2x + 0 = - 16

2x = - 16 ( divide both sides by 2 )

x = - 8

Substitute x = - 8 into either of the 2 equations and solve for y

Substituting into (1)

- 8 - 4y = 4 ( add 8 to both sides )

- 4y = 12 ( divide both sides by - 4 )

y = - 3

solution is (- 8, - 3 ) → B

Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?

Answers

Answer:

0.05x + 0.10y = 34.40

x + y = 468

Step-by-step explanation:

Step-by-step explanation:

The The guy above is correct

a breakfast cereal advertizes that it has 5g of fibre in every 30g serving. How much fibre would someone receive if he or she ate a 50g serving of that cereal?

Answers

Answer:

8.33... grams of fiber

Step-by-step explanation:

The grams per serving is 5/30 or 1/6 or .166... or 16.66...%.

So Fiber = 16.66% * serving size or

F = 16.66 * 50 = 8.33...

2. There is a 0% chance that the earth is the closest planet to the sun.
A) unlikely
B) certain
C) likely
D) impossible

Answers

Answer:

D) Impossible

Step-by-step explanation:

Unlikely = < 50%Certain = 100%Likely = > 50%Impossible = 0%

This would be B. It is certain that there is a 0% chance of the earth being the closest planet to the sun. Mercury is the closest. Earth is the third closest behind Mercury and Venus. Hope that helps.

PLEASE ANSWER ASAP!!!!

Answers

Answer:

68

Step-by-step explanation:

Other Questions
please help asapty :) Solve the following problems and show the complete solutions.1. How many moles of Carbon Dioxide is equivalent to 1.5X1023 atoms of CO2?2. If you have 5grams of pure Aluminum, (Al), how many atoms does it have? (Al=27)\.3. If 3 moles Sodium (Na) reacts with exact Chlorine gas (Cl2) in this reaction: 2Na + Cl2 ---> 2NaCl How many mole of Sodium Chloride (NaCl) will be produced?4. Give the mass percent composition of Potassium, Sulfur and Oxygen in a molecule of Potassium Sulfate: K2SO4.(atomic mass: K=39, S=32).5. If 162g of Aluminum reacts with 144g of Oxygen gas to form Aluminum oxide, what is the mass percentage of Aluminum?6. A sample was analyzed and found to contain 40% Carbon. 6.71% Hydrogen and 53.29% Oxygen. If the molecular mass of this compound is 18.16g/mol, what is the empirical and molecular formula of this compound? Listen to the audio and decide if the statement is true or falseElisa's birthday is on April 15th.TrueFalse Which of the following is a method used to prevent soil depletion? (2 points)Dune fencesContour farmingAdding fertilizersPlanting grasses on slopes At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12? What is an active metal?A. a metal that reacts with oxygenB. a metal that is above hydrogen in the activity seriesC. a transition metalD. a metal with only one valence electron What are three Possible overlaps that can occur during bond formation Krista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width PLS HELP NEED THIS DEC 10TH PLSSSWhat effect did vagrancy laws have on African Americans? A. The laws allowed African Americans to be arrested unfairly. B. The laws gave African Americans land for farms. C. The laws provided African Americans with voting rights. D. The laws required that there be African American government officials.What caused the Radical Republicans to reject Presidential Reconstruction? A. It kept the Southern states separate from the Union for too long. B. It provided too much government assistance to African Americans. C. It was too easy on the Southern secessionists. D. It was unfair to the former ConfederatesWhat was the most significant political effect of Reconstruction plans on Texas? A. Texas rejoined the United States. B. Carpetbaggers shaped politics in Texas. C. Texas was overseen by many different governors. D. Two main Unionist groups with different viewpoints formed. FINAL PART OF MY HW!!! PART 6!!! IT IS STILL UNIT RATE!!!!! Question Is In The Picture When HIV, which causes AIDS, invades the body of a person, that person often develops diseases. These diseases are caused by organisms that usually do not harm people who are not infected with HIV. Explain why the organisms are more harmful to people with HIV than to people without HIV Question 1 of 20How did the Industrial Revolution change working conditions for people?A. Workers started their own factories.B. People were able to ask for better pay.C. Machines started to replace workers.O D. More highly skilled workers were needed. HELP PLSSSS ASAP The computer monitor to the right has a length of 44 inches anda width of 38 inches. Find the length of the diagonal. Round youranswer to the nearest hundredth. How can the introduction of a new species into an area effect the land, the flow of water, the atmosphere , and /or the other living things ? Positive coping skills include all of the following EXCEPT: A. developing a positive attitude B. expressing oneself C. drinking excessive alcohol D. laughing or relaxing Please select the best answer from the choices provided. A B C D Mark this and return finding the distance along a diagonal with the distance formula requires you evaluate a square root. true or false ? Kinsey adds -1 7/8 and it's opposite The assassination of Abraham Lincoln affected events of the Reconstruction Period in that *1 point1)the attempts of the Radical Republicans to control Reconstruction policy were successful2)President Andrew Johnson was able to bring about a more lenient treatment of the Confederacy3)the Ku Klux Klan lost its influence over Southern state governments4)the Confederate states became eager to return to the Union how many japanese planes were lost at pearl harbor