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3 years ago

Help! Thank you so much!!

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Your final answer is -8

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A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to buil

bixtya [17]

9514 1404 393

Answer:

30 small chairs and 24 large chairs

Step-by-step explanation:

Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...

20x +50y = 30×60

60x +90y = 66×60

Removing common factors, these can be written in standard form as ...

2x +5y = 180

2x +3y = 132

Subtracting the second equation from the first gives ...

2y = 48

y = 24 . . . . . divide by 2

Using the first equation to find x, we have ...

2x +5(24) = 180

2x = 60 . . . . . . . . . . subtract 120

x = 30 . . . . . . . . divide by 2

The company can build 30 small chairs and 24 large chairs in a day.

4 0

3 years ago

Find the radius of the circle with equation x²+y²+8x+8y+28=0

galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

$(x^2-(-4))+(y^2-(-4))=4$

Now, we have that:

$h=-4\\k=-4\\r=\sqrt{4}=2$

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0

3 years ago

Select the correct answer

jeka57 [31]

OB would be correct

6 0

3 years ago

The value of 2 in 2000 is_times the value in 200

VARVARA [1.3K]

2000/200 is 100!! so it will be 100

5 0

2 years ago

If X represents height and Y represents wingspan the slope represents the relationship between the wingspan and arm span what is

Rufina [12.5K]

Answer:

y-intercept mean the line going through

Step-by-step explanation:

it means the line going threw

5 0

2 years ago