Questions on Algebra: Divisibility and Prime Numbers answered by real tutors!

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Question 807841: What is the result of dividing 3x^2+7x^2+5 by x+1
Click here to see answer by CubeyThePenguin(3113)

Question 807839: What is the result of dividing x^3-6x+7 by x-2?
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Question 803648: what is the least number divisible by 2,3,4,5,6,8,9,10 and what would answer be if 7 was included please have them in separate answers
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Question 805372: Write one digit on each side of 10 to make a four digit multiple of 72. How many different solutions does this problem have?
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Question 929631: List the first 8 multiples of 14 to prove that the square of any even natural number is divisible by 4.
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Question 967102: what is the temperatures for December 9-12 were -12c,6c,3c, and 5c. What is the average temperature for the four-day period?
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Question 803641: what number is divisble by 2,3,4,5,6,8,9,10 and what would it be if 7 was included please have it in sepearte answears
Click here to see answer by CubeyThePenguin(3113)

Question 809289: Find the smallest natural number that is divisible by 2 and by 3, and which
is simultaneously the fourth power of an integer, and the sixth power of an integer.
Click here to see answer by CubeyThePenguin(3113)

Question 1177174: https://gyazo.com/00c1e6f263aed37d9b749dea12435602
Click here to see answer by greenestamps(13195)

Question 1177319: Let n=355,813,6de be a base-ten numeral with d and e its last two digits. Give all of the choices of the two-digit numbers de for which n is divisible by 12.
Click here to see answer by Edwin McCravy(20054)

Question 1179358: Use mathematical induction to prove each statement is true for all positive integers n:
5^(n)-1 is divisible by 4
n^(2)-n is divisible by 2
Click here to see answer by math_helper(2461)

Question 1183218: Use mathematical induction to prove the following.
N^3 < or = (N+1)^2 ; N> or = 2.
Click here to see answer by ikleyn(52747)

Question 1183723: In my collection of coins,I have 2 more 5 chetrum coins than 25 chetrum Coins.how many 5 chetrum coins are there if the collection is worth nu.3.40?
Click here to see answer by greenestamps(13195)

Question 1183795: For arbitrary positive integers k, m, and n, will there exist a prime p such that ?
Click here to see answer by Edwin McCravy(20054)

Question 1185217: 3 4
— —
2x + 3y

How do I simplify this rational expression?
Click here to see answer by MathLover1(20849)

Question 1187981: A cut-tail prime is a prime number that keeps giving prime numbers as its last digit is continually removed. For example, 37397 is a cut-tail prime because 37397 and 3739 and 373 and 37 and 3 are all primes. The number of three-digit cut-tail primes is
A)12 B)13 C)14 D)15 E)16
Click here to see answer by ikleyn(52747)

Question 1188003: On tuesday d dollars worth of merchandise was sold. On Wednesday the
Amount of merchandise sold was $150 less than twice the amount of merchandise sold on Tuesday
Which exppression represents the amount of merchandise sold on Wednesday?
2(d-150)
2(150-d)
150-2d
2d-150

Click here to see answer by Theo(13342)

Question 1188291: In how many ways can 25 be expressed as the sum of three prime numbers?
A) 1 B) 3 C) 4 D) 5 E) 6
Click here to see answer by ikleyn(52747)

Question 1188291: In how many ways can 25 be expressed as the sum of three prime numbers?
A) 1 B) 3 C) 4 D) 5 E) 6
Click here to see answer by greenestamps(13195)

Question 1188320: The prime factorization of "k!" is x x x x x x 17 x 19 x 23. The value for "k" is
Click here to see answer by ikleyn(52747)

Question 1189399: When the digits in the number 2005 are reversed we obtain the number 5002, and 5002 = a * b * c, such that a, b and c are three distinct primes. How many other positive integers are the products of exactly three distinct primes prime1, prime2 and prime3 such that prime1 + prime2 + prime3 = a+b+c?
Click here to see answer by greenestamps(13195)

Question 1189427: What is the greatest whole number that MUST be a factor of the sum of any six consecutive positive odd numbers?

Click here to see answer by ikleyn(52747)

Question 1189431: Given that x is a multiple of 15336, what is the greatest common divisor of f(x)=(3x+4)(7x+1)(13x+6)(2x+9) and x
Click here to see answer by math_tutor2020(3816)

Question 1189708: Find the sum of the proper divisors of 1,825,346
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Question 1190771: 7
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Question 1190771: 7
Click here to see answer by Alan3354(69443)

Question 1191951: If A*B=(AxB)divided by(A-B) for all integers A and B, then 12*6=
Click here to see answer by ikleyn(52747)

Question 1193908: Prove if a < b and c is positive, then ac < bc
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Question 1193909: For any integer x, prove that x² ≥ 0
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Question 1193997: Q: Enter a prime triplet, where each member of the triplet is less than 100
I'm confused.
A prime triple is three consecutive primes, such that the first and the last differ by six.
(p, p+2, p+6)
(p, p+4, p+6)
(Examples: (5,7,11), (7,11,13), (11,13,17), (13,17,19) and (17,19,23).) These are prime triples.
However, I got the question wrong. It says the correct answer is 3,5,7
There are no prime triplets other than 3, 5, 7
Is the definition I considered wrong? Please explain. Thanks.
Click here to see answer by greenestamps(13195)

Question 1194009: Choose all the descriptions for natural numbers n that have 3 divisors.
1- n= p^2 * q (for any two distinct primes p and q)
2- n= p * q (for any two distinct primes p and q)
3- n= p * q * r (for any three distinct primes p,q and r)
4- n= p^2 (for any prime number)
So every natural number has at least 2 factors - 1 and itself. So numbers with 3 factors then have to be perfect squares of prime numbers.
I selected 4- n= p^2 (for any prime number)
So they only have 1 distinct prime factor, and the question says select ALL.
Am I missing any other description that applies?
Thanks

Click here to see answer by ikleyn(52747)

Question 1194081: 99 consecutive natural numbers, all of which are composite.
What is the smallest number in this set? 100!+2
What is the largest number in this set? 100!+100
What is the method to calculate this? Are my answers correct? Thanks
Click here to see answer by ikleyn(52747)

Question 1194329: I'm not sure if this is the correct place for LCM.
I need to enter an improper roster for the following
Multiples of 6 {0,6,12,18,...}
Multiples of LCM(4,7) {0,28,56,84,...}
Multiples of LCM(4,6) {0,12,24,48,...}
Multiples that intercept (4,7) {0,28,56,84,...}
Multiples that intercept (4,6) {0,12,24,48,...}
I'm unsure when to include the zero, and where I shouldn't. Please help. Thanks.

Click here to see answer by MathLover1(20849)

Question 1194405:
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Question 1194471: Multiples of 12 are a subset of the multiples of n
What must be true about n?
a- 12<= n
b- n<= 12
c- 12|n
d- n|12
e- n and 12 are relative prime.
I think n<=12 , and n|12
Click here to see answer by ikleyn(52747)

Question 1197260: A condidate was to submit 15 from a certain number but mistakenly mistakenly added 25 and her answer was 145. What is the percentage error

Click here to see answer by ewatrrr(24785)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295