You are making a coffee
table with a glass top surrounded by a cherry border.
The glass is 3 feet by 3 feet. You want the cherry border
to be a uniform width. You have 7 square feet of cherry
to make the border. What should the width of the border be?

 You Are Making A Coffeetable With A Glass Top Surrounded By A Cherry Border.The Glass Is 3 Feet By 3

Answers

Answer 1

Answer:

  6 inches

Step-by-step explanation:

You want to know the uniform width of border around a 3 ft square coffee table that would have an area of 7 square feet.

Border area

The area of the border is x feet wide by 3 feet long along each of the 4 sides, together with 4 corner squares that are x ft square.

  A = 7 = 4(3x +x²)

Completing the square, we have ...

  x² +3x +9/4 = 7/4 +9/4 . . . . . . divide by 4, add (3/2)² to both sides

  (x +3/2)² = 4 . . . . . . . . . . . . simplify

  x +3/2 = √4 = 2 . . . . . . square root

  x = 1/2 . . . . . . . . . foot

The width of the border should be 6 inches.


Related Questions

What is the solution to the equation: 3x + 5 = 3x − 5

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

the answer is no solution

Step-by-step explanation:

i need help this is due tomorrow

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Answer:

x z y is the awnser

Step-by-step explanation:

I'm doing this type of stuff

Two paths each 2m wide run across the middle of a rectangular field. If the area of the cross path is 196m and its length is 60m, find its breadth​

Answers

Answer:

d=2m

Area(A)=196m

l=60m

Now,

A=d(l+b-d)

196=2(60+b-2)

196=2(58+b)

196=116+2b

2b=196-116

2b=80

b=40m

Use a net to find the surface area of the cone to the nearest
square centimeter. Use 3.14 for it.
23 cm
(The figure is not drawn to scale.)
The surface area of the cone is about cm2.
(Round to the nearest whole number as needed.)

Answers

Answer:

[tex]V=497.16\ cm^3[/tex]

Step-by-step explanation:

The attached figure shows a cone of radius 5 cm and height 19 cm. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substitute all the values,

[tex]V=\dfrac{1}{3}\times 3.14\times 5^2\times 19\\\\V=497.16\ cm^3[/tex]

So, the volume of the cone is equal to [tex]497.16\ cm^3[/tex].

p + -35 = 25 what would be p

Answers

Answer: p=60

Step-by-step explanation: Hope this help :D

Let angle A=17^ , angle C=110^ and a = 5

Answers

That guy above me is correct

In a class of 25 students , 12 have taken in mathematics , 8 have taken mathematics but not biology . Find
i. the number of student who have taken mathematics and biology
ii. find those who have taken biology but not mathematics . Solve by making venn diagram​

Answers

Answer:

I.4

ii.13

Step-by-step explanation:

....ur welcome........

find the range of the function f(x)=
[tex] \frac{ {x}^{2} + 3x + 5 }{2x - 1} [/tex]


Answers

photo math is very helpful with those type of problems

Rewrite the numerator as

x ² + 3x + 5 = (x - 1/2)² + 4 (x - 1/2) + 27/4

Then

(x ² + 3x + 5) / (2x - 1) = 1/2 × (x ² + 3x + 5) / (x - 1/2)

… = 1/2 × ((x - 1/2)² + 4 (x - 1/2) + 27/4) / (x - 1/2)

… = 1/2 × ((x - 1/2) + 4 + 27 / (4 (x - 1/2)))

… = 1/2 x + 7/4 + 27 / (8 (x - 1/2))

which clearly has a non-removable singularity at x = 1/2, which is to say this function has a domain including including all real numbers except 1/2.

For every number other than x = 1/2, the function takes on every possible real numbers, since 1/2 x + 7/4 alone takes on all real numbers.

So:

domain = {x ∈ ℝ | x ≠ 1/2}

range = {x ∈ ℝ}

.................................................6y=8x

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Emilia wants to visit her family in Mexico. The exchange rate is 15 Mexican Pesos for every US Dollar How much money in US currency does she need to bring with her if she wants to have an allowance of 3,525 Mexican Pesos during her short visit?​

Answers

Answer:

use cymath.

Step-by-step explanation:

Answer:

$235

Step-by-step explanation:

3525/15 is the exchange rate which equals $235

Danielle ran the first
Of a 6-mile race. How many miles did she run?

Answers

Answer:

1 1/5 miles or 1/2 miles

Step-by-step explanation:

1/5 x 6 = 6/5 = 1 1/5 or 1/2 miles

Your a god if you answer this right!!!! BRAINLIEST

Answers

Answer:

y = 3x + 7

Step-by-step explanation:

Rise: 3

Run: 1

Y-Intercept: 7

CAN SOMEONE HELP ME PLS TELL ME THE LETTER ANSWER CHOICE!!!!!!!!!!!!!!!!!!!1;))))))))))))))))))))))

Answers

Answer:

C

Step-by-step explanation:

27÷12=2.25

Each gallon costed 2.25$

Tell whether the angles are complementary, supplementary, or neither.

Answers

Answer: b is your answer hope this helped

Step-by-step explanation:

pleas make brainly

find the circumference, rounding your answer to 1d.p.​

Answers

Answer:

Can't see the attached image

Step-by-step explanation:

Post another question and make sure it has the image on it :)

1) What is the value of the expression 3 4 + 15.45 - 19.75 + 7.87?

Answers

Answer:

37.57

Step-by-step explanation:

34 + 15.45 - 19.75 + 7.87

34 + 15.45 = 49.45

49.45 - 19.75 + 7.87

49.45 + 7.87 = 57.32

57.32 - 19.75 = 37.57

Definition of Accreditation

Answers

official approval given by an organisation when something / somebody achieves a certain standard

hope it helps you ✌

there are 25 Note books and 20 pens on a table. find the ratio of

i) Number of pens to number of note books

ii) number of Note books to the total number of objects on the table

by objects I mean Note books and pens​

Answers

Answer:

i] 4:5

ii] 5:9

Step-by-step explanation:

i] no. of pens/ no. of notebooks

20/25

4/5

= 4:5

ii] no. of notebooks/ total no. of pens and notebooks

25/ 20+25

25/ 45

5/ 9

5:9

Sam is learning the ancient art of kite making. He has determined that his first kite will have diagonals of 24 inches and 25 inches. Determine the area of the kite.
75 in2
150 in2
300 in2
600 in

Answers

Answer: d

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

Can you please help me I need the answer please

Answers

Answer:

b

Step-by-step explanation:

you have to rotate it 180 degrees clockwise to find the transition.

An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder? PLEASE HELP ME!!!! ITS THE TEST FROM PERFORMANCE MATTERS

Answers

Answer: 24 inches

Step-by-step explanation:

Let the radius be represented by x

Therefore, the height will be = 2×x = 2x

Volume of a cylinder = πr²h

where, Volume = 3500

π = 3.14

r = x

h = 2x

We then slot in the values into the formula

Volume = πr²h

3500 = 3.14 × x² × 2x

3500 = 3.14 × 2x²

2x² = 3500 / 3.14

2x² = 1114.65

Divide through by 2

x² = 1114.65 / 2

x² = 557

x = ✓557

x = 23.6 = 24 approximately

The radius is 24 inches

I really need help! On either one!!

Answers

Answer:

512 cm3252 cm2

Step-by-step explanation:

The first dimension to measure is length. Length is always the longest side of the box that has a flap. The next dimension is width. The width side also has a flap but is always the side shorter than the length. Measure the height of the package. Height is the only dimension without a flap.Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Perimeter of the rectangle = PQ + QR + RS + SP

                                      = b +l + b + l

                                      = 2b +2l

Again,  

ABCD is a rectangle. We know that the opposite sides of a rectangle are equal.

Perimeter of a Rectangle

AB = CD = 5 cm and BC = AD = 3 cm

So, the perimeter of the rectangle ABCD = AB + BC + CD + AD = 5 cm + 3 cm + 5 cm + 3 cm = 16 cm

It can be written as 5 cm + 5 cm + 3 cm + 3 cm

                       = (2 × 5) cm + (2 × 3) cm

                       = 2 (5 + 3) cm

                       = 2 × 8 cm

                       = 16 cm

We add length and breadth twice to find the perimeter of a rectangle.

-1 /-26 simplified

Answers

Answer:

0.038

Step-by-step explanation:

I really hope this helps I'm sorry if its wrong

Brainliest please if its right.

The answer is 0.038
Hope this helps!!

Anybody help me please

Answers

Answer:

Rotation 180° counterclockwise about the origin

Answer:

The second one, I think.

Lines m and n are parallel.


What is the measure of ∠1?

A: 65

B: Not here

C: 4

D: 58

Answers

Answer:

c

Step-by-step explanation:

3(x-5)=9 i don't know what to do

Answers

Answer:

x=8

Step-by-step explanation:

3(x-5)=9

3x-15=9

3x-15+15=9+15

3x=24

x=8

Answer:

x=8

Step-by-step explanation:

3(x-5) = 9

(3(x-5))/3 = 9/3

x-5 = 3

x-5+5 = 3+5

x=8

PLEASE HELP ME!!!!!!!

Answers

Answer:

I think 26 for the quadrilateral on the 2nd page

Step-by-step explanation:

8 + 4 + 4+ 10

8 is on the top and 4 is on both sides just the right is angled differently and the bottom i think 10...IM SORRY IF YOU GET T WRONG I TRIED MY BEST!!!!!!

Determine whether 0 is a solution of the inequality.
x = 6
O Yes
ΟNo

Answers

Answer:

In my opinion No

Step-by-step explanation:

You are only given "X" SO what is "Y"?

A dolphin eats 26 lbs of fish a day.
Write a function that represents this situation.

How many lbs does a dolphin eat in 6 weeks?

Answers

Answer:

26x=42

Step-by-step explanation:

Let x represent the number of days.

26 is how many pounds the dolphin eats per day.

and 42 is the total number of days in 6 weeks

Answer:

skskzkosodidozieiixikckcf

A cereal box is being designed that needs to have dimension ratios of 1:1.5:4.2 and needs to have a volume of 14.49 cubic inches. What is the box's smallest dimension?

Answers

Answer:

2.2 inches

Step-by-step explanation:

smallest dimension = (smallest ratio / total ratio) x volume

(smallest ratio = 1

total ratio = 1 + 1.5 + 4.2 = 6.7

(1/6.7) x 14.49 = 2.2 inches

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