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
just olya [345]
3 years ago
14

"A rectangular painting measures 12 inches by 16 inches and is surrounded by a frame of uniform width around the four edges. The

perimeter of the rectangle formed by the painting and its frame is 72 inches. Determine the width of the frame.\"
Mathematics
2 answers:
kondor19780726 [428]3 years ago
8 0
Area of this rectangular painting=lenght x width.
Data:
lenght=16 in.
width=12 in.

Area (rectangular painting)=16 in * 12 in=192 in².

x=width of the frame.
lenght of the frame=16+2x
width of the frame=12+2x

Perimeter of the painting and its frame=2(16+2x)+2(12+2x)

We can suggest this equation:
2(16+2x)+2(12+2x)=72
32+4x+24+4x=72
4x+4x=72-32-24
8x=16
x=16/8
x=2

Answer: the width of the frame is 2 in.


Novosadov [1.4K]3 years ago
8 0
It is a simple one so need to think hard
uniform width of x so the actual perimeter is 
<span>2(12 + x + 16 + x) </span>
<span>2(28 + 2x) = 72 </span>
<span>28 + 2x = 36 </span>
<span>2x = 8 </span>
<span>x = 4 inches</span>
You might be interested in
" Explain how you used the bar model in Exercise 2 to solve the problem "
3241004551 [841]
You have to add exercise 2 so people can answer it.
3 0
3 years ago
What 2 numbers add up to 37 and multiply to -210?
dedylja [7]
Let us assume the two unknown numbers to be "x" and "y".
Then
x + y = 37
And
xy = - 210
x = - 210/y
Now let us put the value of "x" in the first equation, we get
x + y = 37
- (210/y) + y = 37
y^2 - 210 = 37y
y^2 - 37y - 210 = 0
y^2 - 42y + 5y - 210 = 0
y(y - 42) + 5(y - 42) = 0
(y - 42)(y + 5) = 0
So when
y - 42 = 0
y = 42
Then
x = -(210/42)
   = - 5
Again when
y + 5 = 0
y = -5
Then
x = 42
So the two unknown numbers are 42 and -5. I hope the procedure is clear enough for you to understand.
7 0
3 years ago
Find the mean, median and standard deviation of the
polet [3.4K]

Answer:

the mean is 15

median is 16

best average would be mean since its all added together and divided by #

Step-by-step explanation:

to find mean add all numbers and divide by amount of numbers

median is middle number.

4 0
3 years ago
Pls help I’ll brainlest
Eva8 [605]

Answer:

1) 14 rides

2) 12 weeks

Step-by-step explanation:

1) 25-4 = 21

21/1.50 = 14

2) 500 - 200 = 300

300/25 = 12

5 0
3 years ago
Which of the following equals 6,000,000 in scientific notation/
Sever21 [200]
In Scientific notation 6,000,000 = 6 x 10^6
8 0
3 years ago
Other questions:
  • 4x+7(3x-3)=9-5x show work please
    13·2 answers
  • Tell whether the angles are adjacent or vertical. Then find the value of x.<br><br>(Only 4-6)
    5·2 answers
  • Help me ASAP I'll mark you brainiest!!!
    5·2 answers
  • Kayla's father throws Kayla a graduation party that costs $775. He pays the DJ $250, $75 for the cake, and $5 per party guest fo
    5·1 answer
  • the diagram shows a scale drawing of a playground. The scale of the drawing is 1:500. Work out the perimeter. Give answer in met
    8·1 answer
  • What is the solution to the system of equations shown below?
    9·1 answer
  • I need help with my map testing!!
    11·2 answers
  • Kevin opens a savings account with $350. He saves $125 each month. 
    13·2 answers
  • 2 1/3 times 2 1/2 as a mixed number in simplest form
    6·2 answers
  • 4.5 (−6.2)?????? <br><br><br> explanation: i'm slow
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!