There are 12 black socks, 15 dark brown socks, and 20 dark blue socks in a drawer. It is dark and you cannot tell the socks apart. What is the minimum number of socks you need to take out of the drawer in order to guarantee you have at least 4 black socks? Enter your answer as an integer (no words):

Q: Which expression is equivalent to162   Question 6 options:   6¯10 • 68…

A: This expression is not equivalent to 162.

Q: Which of the following expressions counts the number of ways to order the letters in the word TIMES?

A: Formula: The number of ways to arrange n objects in order is: n! The given word is: TIMES The number…

Q: Find the number of 3-digit integers that are not divisible by 4, 5, or 6.

A: Find: The aim is to find a three digit number that are not divisible by 4,5, or 6.. Concept: The…

Q: 2. David has p leaves. He planted 22 more leaves. Write the expression that shows how many leaves he…

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Q: Write a numerical expression representing the following statement: "twelve plus twenty-one"

A: Given query is to write the statement mathematically.

Q: What is the numerical expression of 126 less then -68

A: The objective of the question is to find the numerical expression of '126 less than -68'. In…

Q: From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible if:…

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Q: Evaluate the expression 15P0. 15PO =O

A: The formula for Permutation is nPr = n!/(n – r)!.

Q: Ms. Garcia has 120 comic books. She gives 15 to each of her three nephews, then buys 4 more. Write…

A: Given, Ms. Garcia has 120 comic books. She gives 15 to each of her three nephews, then buys 4 more.…

Q: There are 6 books on a book shelf. In how many ways can you arrange the books on your shelf? Note:…

A: The number of books on a shelf = 6 There are 6 books can be arranged in 6 different places on a…

Q: What can we say about 5"-2" for any natural number n? Justify your response.

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Q: Select all expressions that are equal to 85. A: V82 B: V8 C: V83 D: 22 E: 23 F: 4

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Q: Explain why an odd counting number can always be written in the form 2N+1 for some whole number N.

A: The objective of this question is to understand why any odd counting number can be expressed in the…

Q: Desmond plans to sell his homemade dog biscuits. He has baked 143,265 biscuits. He is planning to…

A: The divisibility rule for 5 is that a number is divisible by 5 if its unit digit is 0 or 5. In other…

Q: You pick a card at random from the following cards, put it back, and then pick another card at…

A: Total Number of Cards (N) = 5Number of Red Cards (R) = 2Number of Yellow cards (Y) = 2Number of blue…

Q: Savanna is playing a game with her friends. She tells them to each pick a number, and then she…

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Q: If the tests for both 2 and 6 work, can you assume that a number is divisible by 12? Explain.

A: No, it's not necessary example is 18 : 18 is divided by 6 as well as 2 but it's not divided by 12

Q: Given the following set of numbers, name the real numbers.   {−13, 0, 13, π, 3–√, 113}   Select…

A: The real numbers are the number which can be shown on the number line. Therefore, all the numbers…

Q: Write out and evaluate: (6-k)*

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Q: Discrete math:  You have two vests, three hats and 14 buttons. How many outfits can you make if each…

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Q: Kathy's second card tells her to go back three steps. What integer represents her move back?

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Q: Use the numbers 5 and 4 to illustrate the commutative property of multiplication.

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Q: What’s -68 integer?

A: An integer that has value less than zero is called negative integer. Examples: -3, -5, -13.... .

Q: Black chips (B) = positive numbers and Red chips (R) = negative numbers. %3D Which set represents…

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Q: There were 31 fewer people on a flight from Chicago to New York than from Chicago to Los Angeles.…

A: Let there are 'p' people on the flight to L.A.

Q: ate for: x = -2, y = 4, and z = 16 * 2+y -x

A:

Q: Find the number of positive divisors, the sum of the positive divisors and ∅ of the following…

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Q: What is the value of 4(6 + 2)2 ? O 64 O 160 O 256 O 1.024 O 0 O 0

A: To find the value of 4(6+2)2

Q: How many interpretations are there for the number Express your answer as an integer.

A: The number 5000 is a natural number.  It can also be a whole number. Again the number 5000 can be…