54 ft = ____ yd 9. 11 L ≈ ____ qt 10. 80 g = ____ kg <br><br>i need help with this

A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = $(10-2x)(15-2x)$

We are given that the area of the rug is 24 square feet.

So, $(10-2x)(15-2x)=24$ ---A

$150-20x-30x+4x^2=24$

$150-24-50x+4x^2=0$

$126-50x+4x^2=0$

$2(x-9)(2x-7)=0$

$x=9,\frac{7}{2}$

$x=9,3.5$

Substitute x =9 in A

$(10-2(9))(15-2(9))=24$

$24=24$

LHS = RHS

Substitute x = 3.5

$(10-2(3.5))(15-2(3.5))=24$

$24=24$

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0

3 years ago

When building a chair, a carpenter uses 2 pounds of wood and 4 ounces of glue. If the Carpenter has 8 pounds of wood and 6 ounce

Novay_Z [31]

Answer:

He can build ...

... min(floor((available wood)/(wood per chair)), floor((available glue)/(glue per chair)))

... = min(floor(6/4), floor(12/6))

... = min(1, 2) = 1

The carpenter can build ...

... e. one chair

Step-by-step explanation:

5 0

2 years ago

Please help- I been sitting here for 40 minutes-

Troyanec [42]

Answer:

so first of all wat is the question and second of all DO NOT READ THE EXPLANATION

Step-by-step explanation:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

(Give you up)

(Ooh) Never gonna give, never gonna give

(Give you up)

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

6 0

3 years ago

Read 2 more answers

Graph the line y+3=-1/4(x-3)

insens350 [35]

Answer:

Make a table with values of x and y using the equation y + 3 = -1/4(x - 3) :

x y

0 -2.25

3 -3

5 -3.5

-1 -2

-9 0

Now, graph these and draw a line through the points:

4 0

2 years ago

Read 2 more answers

A rectangular garden has a diagonal length of 18 m. What are the side lengths to the nearest Meter?

QveST [7]

If it's a square then sides equal to around 12-13 meters

3 0

3 years ago

54 ft = ____ yd 9. 11 L ≈ ____ qt 10. 80 g = ____ kg i need help with this

54 ft = yd 9. 11 L ≈ qt 10. 80 g = kg i need help with this