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
nikitadnepr [17]
3 years ago
7

A 7 by 10 inch mirror was put in a frame and hung on the wall. The mirror and frame together cover an area of 130 inches squared

. How wide is the frame?
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Answer: the width of the frame is 3 inches.

Step-by-step explanation:

Let x represent the width of the frame.

If the length of the mirror is 10 inches, the length of the mirror and the frame would be (x + 10) inches

If the width of the mirror is 7 inches, the width of the mirror and the frame would be (x + 7) inches

The mirror and frame together cover an area of 130 inches squared. This means that

(x + 10)(x + 7) = 130

x² + 7x + 10x + 70 = 130

x² + 17x + 70 - 130 = 0

x² + 17x - 60 = 0

x² + 20x - 3x - 60 = 0

x(x + 20) - 3(x + 20) = 0

x - 3 = 0 or x + 20 = 0

x = 3 or x = - 20

Since the width cannot be negative, then x = 3

You might be interested in
Solve the following systems of equations 2a+4b+c=5 ; a-4b=-6 ; 2b+c=7.
SOVA2 [1]

Answer:

a = -2

b = 1

c = 5

Step-by-step explanation:

Given:

2a + 4b + c = 5 ............(1)

a - 4b = - 6

or

a = 4b - 6 .............(2)

2b + c = 7

or

c = 7 - 2b   ...........(3)

substituting 2 and 3 in  1, we get

2(4b - 6 ) + 4b + (7 - 2b) = 5

or

8b - 12 + 4b + 7 - 2b = 5

or

10b - 5 = 5

or

b = 1

substituting b in 2, we get

a = 4(1) - 6

or

a = -2

substituting b in 3, we get

c = 7 - 2(1)

or

c = 5

thus,

a = -2

b = 1

c = 5

8 0
3 years ago
The graph represents the rate of two machines that fill water barrels. One machine has already filled 30 water barrels before th
Katena32 [7]
The answer is B!
Hoped I helped!
5 0
4 years ago
The diagram shows a plan for the rectangular house with an attached porch. The combined area of the house and the porch is 733ft
Nikolay [14]

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

<h3>How to calculate area?</h3>

Combined area = big rectangle + smaller rectangle - triangle

Hence:

733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)

733 = 767 - 13x + 9x - x + 6

x = 8 feet

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

Find out more on area at: brainly.com/question/25292087

8 0
2 years ago
What is an equation of the line that passes through the point (-5, -1) and is
Radda [10]

Answer:

y = -4/5 x - 5

Step-by-step explanation:

3 0
3 years ago
Verify that f and g are inverse functions <br> f(x)=2x, g(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D" id="TexFor
Kitty [74]

y=2x

switch x and y

x=2y

solve for y

x/2 =y

this is the same as g(x)

7 0
4 years ago
Read 2 more answers
Other questions:
  • jasmine sells girl scout cookies for $4 dollars a box jasmine says if sells $265 boxes she will make 2,000 dollars. is the exact
    14·2 answers
  • A guy wire is attached to an upright pole 6 meters above the ground. If the wire is anchored to the ground 4 meters from the bas
    13·1 answer
  • Type the noun form of the verb.<br> contribute
    12·1 answer
  • (-x^2-x+3)+(-x-1) simplify
    12·2 answers
  • N x 5.06=506.00<br> What's the value of n
    11·2 answers
  • What is a number of subsets for the set which contains the 10 elements.
    12·1 answer
  • Square root of -20<br><br> someone please help
    9·1 answer
  • Describe fully the single transformation that maps shape A onto shape B.
    14·1 answer
  • Find the sum of the first 48 terms of the following series, to the nearest integer. 11, 18,25,...
    7·2 answers
  • Find the area of the shaded region.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!