1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gizmo_the_mogwai [7]
3 years ago
13

John has a rectangular picture which is 43 inches long and 27 inches wide. He wants to build a wooden gram for the picture but s

he only has 800 square inches of wood available. How wide will the border be?
Mathematics
2 answers:
Lelechka [254]3 years ago
7 0

Answer:

5 inches

Step-by-step explanation:

Let x be the width ( in inches ) of the border,

Given,

The length of the picture = 43 inches,

And, width of the picture = 27 inches,

So, the length of whole frame ( picture with border ) = 43 + 2x,

Its width = 27 + 2x

Thus, the area of the whole frame,

A=(43+2x)(27+2x)-----(1)

Now, the area of the picture,

A_1=43\times 27=1161\text{ square inches}----(2)

We have, the area of the border,

A_2=800\text{ square inches}----(3)

Thus,

A=A_1+A_2

Equation (1) (2) and (3),

(43+2x)(27+2x) = 1161+800

1161 + 86x+54x+4x^2=1161+800

4x^2+140x-800=0

x^2+35x-200=0

x^2+40x-5x-200=0

x(x+40)-5(x+40)=0

(x-5)(x+40)=0

\implies x=5\text{ or }x=-40

∵ Width can not be negative,

Hence, the width of the border is 5 inches.

Dvinal [7]3 years ago
5 0

Answer:

The border will be 18.6 inches wide

Step-by-step explanation:

<em>Let the width be w</em>

<em>The length = 43 inches</em>

<em>Total wood = 800 square inches</em>

Formula for area of rectangle = length x width

<em>800 = 43 x w</em>

<em>w = 800/43</em>

w = 18.6 inches

Therefore, the border will be 18.6 inches wide.

!!

You might be interested in
Find the value of x for which line a is parallel to line b. (21)
Romashka [77]
X is 20 degrees. Since it says that lines a and b are parallel and angles four and five are right next to each other, it means that when you add the two of them together you’ll get 180. Since it’s replaced with variables with coefficients, add the coefficients to get 9 and divide 180/9 to get 20. 20 is the value for x which is your answer
7 0
2 years ago
List these fractions from<br>least to greatest 3/8 5/8 4/8 2/8 7/8
melomori [17]

Answer: 2/8, 3/8, 4/8, 5/8, 7/8

Step-by-step explanation:

     Since they all have a common denominator, we can list them based on their numerator without having to worry about the denominator.

2/8 < 3/8 < 4/8 < 5/8 < 7/8

8 0
2 years ago
What is the y-intercept of the graph of the function f(x)=x^2+3x+5?
marta [7]

Answer:

y int = (0,5)

Step-by-step explanation:

hope this helps

8 0
2 years ago
Read 2 more answers
Match the correct y=mx+b equation to the graph: <br><br> pls show work/explanation!
MrMuchimi

Answer:

y=x+1

Step-by-step explanation:

m is the slope, and the slope is 1. b is the y-intercept, which is 1.

7 0
2 years ago
If 5x+6=10 what is the value of 10x+3
larisa [96]
The exact value is 11 
5 0
3 years ago
Read 2 more answers
Other questions:
  • How to do square routs of 8
    13·2 answers
  • What is 9 7/8 subtracted by 4 and 5/6
    5·1 answer
  • Solve for h <br><br> ab - s - 2d - 3t = 4h <br><br> ? = h
    12·1 answer
  • In three to four sentences, discuss how the structure of
    11·1 answer
  • Solve. 4y 16 &gt; –8 <br> a. y &gt; –6 <br> b. y &gt; –2 <br> c. y &gt; 2 <br> d. y &gt; 6
    9·1 answer
  • The cost of a pizza varies directly with the
    7·1 answer
  • Calcula el volumen. Largo: 50cm Largo: 35cm Largo: 40cm Ancho: 30cm Ancho: 20cm Ancho: 60cm Alto: 20cm Alto: 50cm Alto: 30cm Vol
    14·1 answer
  • Stella is running a bakery. She has made a street sign to direct people to her bakery. She painted one side of the post and sign
    8·2 answers
  • You spent 2 hours on homework yesterday. Today you spend 4 hours. What is the percent of increase?
    7·1 answer
  • DE is the perpendicular bisector of AC. Find AC.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!