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AlexFokin [52]
2 years ago
6

A square orange rug has a green square in the center. The side length of the green square is x inches. The width of the orange b

and that surrounds the green square is 12 in. What is the area of the orange ​band?

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

Answer:

The area of the orange ​band is 576 + 48x square inches

Step-by-step explanation:

Step 1: Area of the green square

The area of the green square =side^2

The area of the green square  =  x^2 square inches

Step 2: Area of the orange square

The area of the orange square =side^2

The side of the orange square  =  12+12 + x = 24 +x

Now the area of the orange square  =(x+24)^2

Step 3: The area of the orange ​band

Area of the orange ​band =  area of the orange square - area of the green square

Area of the orange ​band =   (x+24)^2 - x^2

expanding and solving the equation we get

x^2 + 24^2 +48x - x^2

576 + 48 x square inches

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Look at the table showing prices of different items at a store.
kati45 [8]

The types of items that cost less than $3.75 per item are Paperbacks and notebooks.

<h3>How do we determine the price of a unit item in a word problem?</h3>

The price of a unit item can be determined by dividing the total price by the number of units sold.

Given that:

Paperbacks sold 3 units for $10.65;

  • 1 unit will be sold for = $10.65/3 = $3.55

Notebooks sold 4 units for $14.36;

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Puzzles sold 3 units for $11.85;

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Picture frame sold 4 units for $15.20;

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Therefore, from the above calculations, we can conclude that the types of items that cost less than $3.75 per item are Paperbacks and notebooks.

Learn more about calculating the unit price of an item here:

brainly.com/question/5028370

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6 0
1 year ago
What magic trick does mr. utterbunk perform every evening
Kruka [31]
You have to finish writing the question for someone to answer
4 0
2 years ago
An artist wants to frame a square painting with an area of 400 square inches she wants to know the lenth of the wood trim that i
Jet001 [13]

Answer:

The formula for the area of a square with sides of length x is  A = x2  so  

x2 = 400  is the equation  

This equation has 2 solutions, namely x = ±√400 = +20 or -20  

The negative solution does not make sense because a length cannot be less than 0.  

The total length needed to go around the painting is the perimeter of the square, which is  

P = 4*x = 4*20 = 80 inches

7 0
3 years ago
What is the likelihood the next crayon randomly selected will be yellow
tamaranim1 [39]
So.... there are 10 crayons and 8 are yellow.  

This means that 8/10 of the crayons are yellow.  

So the chance of picking a yellow one is 80%.  


To get this, you need to do 8/10 and make it over 100, which is 80/100.  Then, you turn this number into a percent by just dropping the 100 and adding a % to 80 (it's this easy if the bottom denominator is 100) 

The work should look something like this;

8:10
8/10
80/100
80%

So, there is an 80% chance that the crayon you pick will be yellow.  Any questions?
6 0
3 years ago
An ant walked on the coordinate plane from point A( − 3,1) to point B(1,25) by the shortest path. Find y-coordinate of the point
konstantin123 [22]

Answer:

19

Step-by-step explanation:

The shortest path is a straight line.  The slope of that line is:

m = (25 − 1) / (1 − (-3))

m = 6

The point where the ant intersects the y-axis has an x-coordinate of 0.  The slope between that point, and any other point on the line, is 6.

6 = (y − 1) / (0 − (-3))

y = 19

6 0
3 years ago
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