Find the smallest number of squares on the 8x8 board one needs to color green so that every tromino -- this is the figure consisting of 3 square cells connected in the shape of the Greek letter gamma (but not necessarily positioned like it) placed on the board (to cover neatly three cells of the board) covers at least one green cell.

Q: If you have to put n+1 pigeons into n holes, then you would have to put at least two pigeons into…

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Q: If n is a prime number greater than 3, what is the remainder when n² is divided by 12?

A: The objective of this question is to find the remainder when the square of a prime number greater…

Q: Suppose you had 4 red checker pieces and 5 black checker pieces. How many ways can you arrange these…

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Q: When a carton of apples were packed into bags of 4, there would be 3 apples left over. When the same…

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Q: A professor has 180 students in her classes at the beginning of the semester, but 18 students…

A: At the beginning of the semester the professor has 180 students in her classes. But 18 students…

Q: There are 16 cubic plastic blocks, each one a different color from the others. How many ways are…

A: There are 16 cubic plastic blocks, each one a different color from the other.

Q: Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already…

A: Given that Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square.…

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Q: d) √23-√37 √23+√37

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Q: Mateo has a large collection of hot wheels. he knows he has exactly 15 blue hot wheels in his…

A: Mateo has a large collection of hot wheels.

Q: Find the number of arrangements of the letters in the word EMERGE in which (a) all the 3 letters E…

A: Given word is EMERGEletter E is repeated 3 times total no.of letters in the word  EMERGE  =6

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: 32r+3 = 34)

A: Given- 32x+3=3x2 To find- The value of the variable x.

Q: Assume that the color of each block matters.

A: There are 16 cubic blocks, each one a different color from the others.

Q: In a park, there are 33 people roller skating. Each person is either using a roller skate that has 2…

A: Total number of people=33 Total number of wheels = 105

Q: Ann remembers the last four digits of a seven-digit telephone number but knows only that each of the…

A: Given that Ann remembers only last four digit of a seven digit telephone numbers and first three…

Q: 3. State the GCF of each pair of terms. a) 6x and 10x b) 154³ and 20² c) ab and a²6² d) -2x¹y¹ and…

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Q: What is cross ?

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Q: How do you soleve (5 to the 2nd)4th power

A: Given we need to solve 5 to the 2nd 4th power.We write a to the bth , then we are computing ab.SO we…

Q: What is the (3,1) entry in the product 2 3 7 3 HA -2 0 4 5 6 -3 0 2 ? Enter your answer in the box:

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