Abby notices that for the first twenty perfect​ squares, each square is either a multiple of​ 5, one less than a multiple of​ 5, or one more than a multiple of 5. She writes the following statement.   If n is a natural​ number, then n2 can be written as 5k−​1, ​5k, or 5k+​1, where k is a whole number.   What type of statement did Abby​ make? Has she shown that her statement is true for all values of​ n? Explain.

Q: Which expression is not equivalent to 2x2 + 10x + 12?  (A) (2x + 4)(x + 3)  (B) (2x + 6)(x + 2)  (C)…

A: Given exprression 2x2+10x+12Now    2x2+10x+12  =2x2+6x+4x+12=2xx+3+4x+3=2x+4 x+3=2x+2x+3=x+22x+6

Q: Which is an example of deductive reasoning? Ali notices that a plant grows 2 inches each week.…

A:

Q: 3) If 1||m, find the value of y. (4r-50)° (2r+30)/) If 1||m, find the value of y. (5x+ 30)° 7x

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. A = {x: x is even number less than 11} B = {y: y is an odd number less than or equal to 113

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Simplify the expression 9a-2(4a+10) + 6a? О За 8а + 20 O 15a-8a + 20 O15a?- 8a - 20 O 3a? - 8a -20 3…

A: Simplify the expression

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

A:

Q: What value of n makes this expression equal to 6? 3n - (2 + n)

A: Given: 3n-2+n=6

Q: A number $k$k​ plus 19.5 is less than or equal to 40.

A: According to the given information it is required to find the number x, that satisfy the given…

Q: answer the question with an algebraic expression. If n represents a multiple of 3, what represents…

A: Solution: Consider the given number is 3 It is given that n represents a multiple of 3 that is…

Q: find the mistake5^16/5^4=5^4^16 is squared/ is a fraction

A: Formula used:

Q: A theater sells t tickets at a price of p dollars each. The theater conducts a survey and predicts…

A: Given that a theatre sells t tickets at a price of dollar p each. If the price of each ticket is…

Q: A and B are two positive integers. A and B are consecutive If the product of A and B is 4290, then…

A:

Q: ) If 13 + 7 = 20, which property of equality is illustrated by the equation (13 + 7) + 2 = 20 + 2?…

A: Explanation of the solution is given below...

Q: RITE IT IN FRONT OF NEW EXPRESSION). 1. 6x3 – 24x² + 18 a =2 h=13 #E1S 24t 131 2. 3x3 + 6x² –- 12x

A:

Q: A boat travels upstream for 120 miles in 4 hours and returns in 3 hours traveling downstream in a…

A: Let the rate of the boat in the still water be x and the rate of the current be y. The rate or speed…

Q: list at least 4 ways to express the fact that 6 is a multiple of 2. (use words other than multiple…

A: Introduction: - Manifold is the most basic definition of multiple. The product result of one number…

Q: Write an open phrase for: The result when two consecutive even integers are added if N is the bigger…

A: Here they gave a phrase and we need to convert it to a expression. The phrase is the result of two…

Q: The sum of the first n consecutive even numbers can be found using S = n2 + n, where n > 2. what is…

A: By equating S= 42 we can find the value of n

Q: The length of a rectangle is 3 more than twice its width, w. Which expression represents the area of…

A:

Q: a ticket to the school dance increases by 20% from the original price, p. James and Matt want to…

A: James uses the expression 1.20p The new price is 1.20 times the old price.

Q: The absolute value of -6 is equal to the distance on a number line between... O -6 an 6 O -6 and 1 O…

A: The absolute value of a number is the distance from 0 on number line. The absolute value of -6 is 6…

Q: The McDonald family has agreed to let their children get some animals. The kids said they want…

A:

Q: (a)  32.5 % of what number is  12.48 ?   (b)  186 % of  30.5  is what

A: Percentage

Q: Simplify: 4 /6 – 9/6 +2/6

A: We want to simplify the given expression, The given expression contains basic addition and…

Q: Noah says that 9x – 2x + 4x is equivalent to 3x because the subtraction sign tells us to subtract…

A:

Q: 3 more than x can be written as

A: Given that 3 more than x can be written as

Q: What is two more than a certain numberis 15 less than the product of 7/8 and the number?

A: NOTE: Refresh your page if you can't see any equations. . x= a certain number two more than a…

Q: 9. If a + b = 20- 3b + 4ab, find the values of 5 * 2 and 3*:

A: Since you have posted multiple question in this question which are not interlinked so I have solved…

Q: If 2x2 + 6x = 36, what are the possible values of x ?

A: Given,         2x2+6x=36

Q: What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3?

A: Given expression is 3y+62x

Q: the computer took the H0 and Ha as H0: p > - 0.82 (greater than or equal to) Ha: P < 0.82

A: We need to answer the reason behind, the computer taken the H0 and Ha as: H0: p ≥  0.82 (greater…

Q: 6. If m2 - 23 = n², which of the following expressions must equal 23 ? A (m+ n) (m – n)

A: The given expression is  m2-23=n2

Q: How many times does it take if u add 4+8 until you get the answer 40?

A: To find: The number times it take to add until get the answer 40. Calculation: Assume the number…

Q: 6. Fifth grader Lindsey was solving -4 – -9 =?. Her friend Ashley solved the problem -4 + 9 instead…

A: To solve the given problem

Q: The mean of the numbers x1, X2, X3 ... Xg is 9. If the mean of x2, X3, X6, X7, Xg is 10, find the…

A: Here use formula of mean

Q: What is the smallest positive integer value of x where y = 2^× exceeds y= 5x ++7 ? What is the…

A: We have calculate smallest positive integer value of x where y=2x exceeds y=5x+7

Q: Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an…

A: Here we have expression for earnings of 3 persons namely Regina, Phil, and Joseph. We have to find…

Q: In real-life situations, zero can represent many things. When looking at the ocean, zero represents…

A:

Q: One integer is two more than another. The sum of the lesser integer andtwice the greater is 7. What…

A: Let the smaller integer= x So the larger integer = x+2

Q: B. Express the numbers 2.228 as a ratio of two integers.

A:

Q: If the 10" term of an AP. is 52 and 17 term is 20 more than the 13* term „find the A.P.

A: As we know that the series in A.P when the difference between each term is constant. a , a+d , a+2d…

Q: Find three consecutive integers whose sum is 33. O -10, - 9, - 8 О-11, — 10, —9 О 12, 13, 14 о 10,…

A: We need to find three consecutive integers whose sum is 33.

Q: What value of k makes -5>k+11 true

A: The values of k that satisfy the inequality are the values that make the given inequality true.

Q: A student thinks that the expressions (a + b)? and a? + b2 are equal to one another. How would you…

A: Given,         A student thinks that the expressions a+b2 and a2+b2 are equal to one another.

Q: 12 is 40% of what number

A: suppose 12 is 40% of the number x. Then x×(40100)=12  when cross multiplied  and solved we get  x=30

Q: What could be the few terms of an + 1 = 2an? а. 4,16,64,256 b. 8,16,32,64 с. 2,4,6,8 d.…

A:

Q: One of the requirements for a 9th grade English class is to read 75 books by the end of the school…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.