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 +​

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)

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:

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

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.

Answer:

  (a) $14,912 saved

  (b) $58,000 aid needed

Step-by-step explanation:

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

__

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

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

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:

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

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.

Step-by-step explanation:

They needed a lingua franca to be able to communicate.

Answer:

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

Step-by-step explanation:

[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

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:

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

Answer:

0.05x + 0.10y = 34.40

x + y = 468

Step-by-step explanation:

Step-by-step explanation:

The The guy above is correct

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.

Answer:

D) Impossible

Step-by-step explanation:

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.

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

Answer:

thank you pare XD

Step-by-step explanation:

(≧▽≦)(≧▽≦)

Answer:

I believe Descartes

Step-by-step explanation:

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

Answer:

A.

Because it has it two sides equal

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)

Answer:

68

Step-by-step explanation:

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)!

Answer:

(3,0)

Step-by-step explanation:

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

Answer:

x=2

Step-by-step explanation:

-5(2)+6= -4

-4 is greater than -5

Answer:

D

Step-by-step explanation:

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...