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Leona [35]
2 years ago
5

A rectangle that measures 12 inches × 18 inches is cut into six identical squares by making three cuts. How many inches is the p

erimeter of one of those six squares?
Mathematics
1 answer:
Valentin [98]2 years ago
5 0

The perimeter of one of those six squares formed is 24 inches.

The rectangle measures 12 inches by 18 inches.

The rectangle is cut into six identical square by making three cut.

Therefore, let's find the area of the rectangle:

<h3>Area of a rectangle:</h3>
  • a = lw
  • a = 12 × 18 = 216 inches²

<h3>Area of a square:</h3>
  • a = l²

The square formed are 6 in numbers. Therefore,

6l² = 216

l² = 216 / 6

l = √36

l = 6 inches

The length of each square formed is 6 inches.

Therefore, the perimeter of each square formed is as follows;

  • 4l = 4(6) = 24 inches

learn more on rectangle here: brainly.com/question/1392694?referrer=searchResults

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The price p (in dollars) and the demand X for a particular clock radio are related by the equation X = 3000 -10p. Find and answe
alukav5142 [94]

The price p based on the equation given is p = 3000 - 0.1x.

<h3>How to express the price?</h3>

The equation given in the question is x = 3000 - 10p. The price(p) will be:

x = 3000 - 10p.

Make p the subject of the formula

x + 10p = 3000

10p = 3000 - x

p = (3000 - x)/10

p = 3000 - 0.1x

The revenue will be price multiplied by quantity. This will be:

= (3000 - 0.1x) × x

= 3000x - 0.1x²

The marginal revenue will be calculated after differentiating. This will be:

= 3000x - 0.1x²

= 3000 - 0.2x

The demand which is the quantity based on the information will be:

3000 - 0.2x = 0

0.2x = 3000

x = 1500

Learn more about demand on:

brainly.com/question/1245771

#SPJ1

6 0
1 year ago
The Children’s Hospital sponsors a 10K race to raise money. It receives $75 per race entry and $10,000 in donations, but it must
svetlana [45]

THE ANSWER:


There would need to be at least 1,800 entries in order for them to meet their goal.


Step-by-step explanation:


To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.


75x - 25x


Then we can add the number of donations.


75x - 25x + 10,000


Then we can set it as greater than or equal to the goal number.


75x - 25x + 10,000 ≥ 100,000


Now we solve this using the order of operations.


75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms


50x + 10,000 ≥ 100,000 ------> Subtract 10,000


50x ≥ 90,000 -----> Divide by 50


~~~~~~~~~x ≥ 1,800~~~~~



4 0
3 years ago
Read 2 more answers
If the product of two integers is positive, their signs are positive or negative
worty [1.4K]

Answer:

It could be both 2 positives, or 2 negatives.

Step-by-step explanation:

This is because a negative times a negative is a positive, and a positive times a positive is a positive.

7 0
3 years ago
WHY IS THIS GETTING DELETED?? I NEED HELP
aliina [53]

If this exact question is repeatedly deleted, it's probably because of the ambiguity of the given equation. I see two likely interpretations, for instance:

\dfrac{(5\times5)^k}{5^{-8}} = 5^3

or

\dfrac{5\times 5^k}{5^{-8}} = 5^3

If the first one is what you intended, then

\dfrac{(5\times5)^k}{5^{-8}} = \dfrac{(5^2)^k}{5^{-8}} = \dfrac{5^{2k}}{5^{-8}} = 5^{2k-(-8)} = 5^{2k+8} = 5^3

and it follows that

2<em>k</em> + 8 = 3   ==>   2<em>k</em> = -5   ==>   <em>k</em> = -5/2

If you meant the second one, then

\dfrac{5\times 5^k}{5^{-8}} = \dfrac{5^1\times5^k}{5^{-8}} = \dfrac{5^{k+1}}{5^{-8}} = 5^{k+1-(-8)} = 5^{k+9} = 5^3

which would give

<em>k</em> + 9 = 3   ==>   <em>k</em> = -6

And for all I know, you might have meant some other alternative... When you can, you should include a picture of your problem.

3 0
3 years ago
Q - 8 as a verbal expression
sertanlavr [38]

Answer:

Step-by-step explanation:

An unknown number minus 8.

8 0
3 years ago
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