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antoniya [11.8K]
3 years ago
8

Is there a square made up of square tiles that has only 75 squares overall? What about one that has 120 squares overall? If it i

s possible show the square design and explain how u found it. If it is not possible explain why that design cannot exist
Mathematics
1 answer:
Mama L [17]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

There are two essential pieces of information missing in the question, namely:

(1) "can the the square tiles be of varying size?"

(2) "what are the number constraints on the size of a tile?" (integers only? fractional lengths? Any real number?)

Without knowing the above, I can only speculate:

If the answer is "no, the square tiles are all same size, and must be of integer size" then the answer to your question will be "no, neither with 75 nor with 120 tiles a square of integer size can be covered" This is because the numbers 75 and 120 are not perfect squares (unlike, say, 121), which is easy to check.

If the answer is "yes, the square tiles can vary in size, but must be integers" then the answer to your question will be "yes" at least in the case of the 75 tiles...I could come up with an arrangement to solve that and am positive there is one for 120. I am not going into the detail here not knowing what is really required.

If the answer is "tile size can be any real number" then the answer to your question will be "yes" (albeit, there may never be possible to construct).

Let me know if you have questions.

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7 points
gregori [183]

Answer:

760

Step-by-step explanation:

Subtract the y-intercept from y.

240 - 50 = 190

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4 years ago
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Answer:

x + y \leq 16

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Step-by-step explanation:

We are given the following in the question:

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Earning from ice-cream shop = $10 an hour

Let x be number of hours for babysitting in a week and y be the number of hours working in ice cream shop in a week

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x + y \leq 16

b) Bailey wants to make at least $100 a week. Thus, the sum of total earning  from ice cream shop and babysitting should be greater than 100 dollars. Thus, the inequality to represent the total earning of Bailey can be written as

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c) The attached image shows the graph for the two inequalities.

The black region shows the solution to inequality to represent the number of hours and red region represents the solution to inequality for the total earning of Bailey.

c) The common shaded region gives the solution to both the inequalities.

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(9,6), (10,5)

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Step-by-step explanation:

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