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
Sidana [21]
2 years ago
9

A picture that measures 7 inches

Mathematics
1 answer:
Kipish [7]2 years ago
3 0

Answer:

The width of the frame is 2 inches

Step-by-step explanation:

The given dimensions of the picture = 7 inches by 7 inches

The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²

The area of the given picture and the frame, A₂ = 81 square inches

Let 'w' represent the width of the frame and whereby the picture is a square, we have;

The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)

A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²

49 + 14·w + w² - 81 = 0

w² + 14·w - 32 = 0

(x + 16)·(x - 2) = 0

∴ x = -16 or x = 2

Given that 'x' is a natural number, we have;

The width of the frame, x = 2 inches.

You might be interested in
How do you solve common core math when it asks you to write the first step question and answer?
slega [8]
Represent addition and subtraction with objects, fingers, mental images, drawings1, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
7 0
3 years ago
How do you write 4540 million in standard form?
vovangra [49]
For this case what we should do is take into account the following conversion:
 million = 10 ^ 6

 We then have the following number:
 4540 million

 Applying the given conversion we have:
 4540 * 10 ^ 6

 By doing the corresponding calculation we have that the standard form is given by:
 4540 * 10 ^ 6 = 4,540,000,000

 Answer:
 
4540 million in standard form is:
 
4,540,000,000
8 0
2 years ago
Read 2 more answers
Which situation most directly illustrates a possible outcome of a fiscal policy?
SVETLANKA909090 [29]

Answer: B. The amount of federal money available to support education decreases.

Step-by-step explanation:

The Fiscal policy of a Government relates to the spending and taxation policies of that Government in an effort to control the direction of the Economy.

Normally there are two types of Fiscal Policy: Expansionary and Contractionary. Expansionary fiscal policy works by the Government increasing spending and/ or cutting taxes so that consumers in the economy have more money.

Contractionary policy is the opposite and involves Government spending reducing and/ or taxes increasing. Reducing the amount of Federal money available for education is a possible product of Contractionary fiscal policy.

5 0
3 years ago
Coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negativ
RideAnS [48]

The answer should be answer A. (A,C,D,K)

You can easily figure this out by just looking at the graph.  Just look at all points that are in the blue region(overlapping shaded area) and see all the points inside.

H is not included because it falls on the dotted line.  Any point that falls on a dotted line does not satisfy both inequalities.

If the line were solid however, then the point would satisfy both inequalities.  This is because the line would include the <em>greater than or equal to</em> symbol "≥" which means that the point <em>could</em> equal to 8 or be less than 8.  Since the symbol is not used, it doesn't satisfy both equations.

6 0
3 years ago
Read 2 more answers
How do you turn 0.45 into the simpilest form of a fraction
Paraphin [41]
All you need to do is put 45 over 100 to make it 45/100, then simplify down until you get your answer. The answer is 9/20 though. There may be better ways, but that's how I do it.
6 0
2 years ago
Other questions:
  • Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99 ​% of all males.​ (Accommodating 10
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=13%20%5Ctimes%2011%20%3D%3F" id="TexFormula1" title="13 \times 11 =?" alt="13 \times 11 =?" al
    6·1 answer
  • A cube with a side length s can be split into three congruent pyramids which formula represents the volume of a square pyramid
    11·1 answer
  • A garden is in the shape of a square with a perimeter of
    10·1 answer
  • Which graph represents polynomials function f(x)=x^3+4x^2-15x-18
    9·2 answers
  • Pls Can we be friends
    9·2 answers
  • The number of Internet users in Latin America grew from 25.8 million in 2009 to 70.6 million in 2016. Use the geometric mean to
    15·1 answer
  • You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil
    10·2 answers
  • A store is having a sale on jelly beans and almonds. For 5 pounds of jelly beans and 3 pounds of almonds, the total cost is $16.
    10·1 answer
  • I believe you need to use the quadratic formula for this one, but I am not sure!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!