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

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Tutors Answer Your Questions about Divisibility and Prime Numbers (FREE)


Question 511955: what is the product of the greatest and least two digit prime number
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Question 511955: what is the product of the greatest and least two digit prime number
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Question 513592: Which of the folllowing is a counterexample of the conjecture below?
Conjecture: If a number is divisible by 6 and 2 then it is divisible by 12.
a.12
b.36
c.42
d.48

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Question 514951: the largest three digit number divisible by 8,12,16 and 18 ????

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Question 515865: I am a composite number between 30 & 40. The sum of my prime factors is 10. What number am I?
I have narrowed it down to: 32, 33, 34, 36, 38, 39.

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Question 518524: Is 1155 prime or composite
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Question 518776: I am trying to find a starting point to help my daughter with the following math problem (right now we are working through it manually with boxes and check marks):
Following recess, the 400 students in a school lined up and entered the school as follows: the first student opened all the 400 lockers in the school. The second student closed all the even numbered lockers. The third student "changed" all the lockers that were numbered with a multiple of 3 by closing those lockers that were opened and opening those lockers that were closed. The fourth student changed all the lockers that were numbered with a multiple of 4 in the same way, and so on. After all 400 students had entered the building in this fashion, which lockers were left open?

Click here to see answer by scott8148(6628) About Me 

Question 519356: Two part question?
How many intergers between one and six? I think two the number three and six. Is that correct. How many odd intergers between one and 9? No clue. All I know is an interger is a whole number that is not a fraction. How do you figure out the rest.

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Question 519459: 3t^2 + t
Click here to see answer by algebrahouse.com(1079) About Me 

Question 521884: what number is greater than 150 and smaller than 200 and is divisble by 3
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Question 522534: What are the prime factors for these numbers? 90, 24,30,12, 63, 28
Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 524241: I am a three digit number less than 200. When I am divided by 2,3,6,7 and 9,
there is a remainder of 1. What bumber am I?

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Question 525394: I apologize if this question does not go with the category, but would you please answer the following. " If 8 and 12 are each factors of K, what is the value of K?
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Question 526381: for a={x|x is an integer greater than 7} and b={x|x is an integer less than or equal to 12} idk how to do this and whats the answer i need to kno how to solve this inequality
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Question 526455: how would you do the factorization of 400?
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Question 526383: the art show is sponsoring four art shows.they hope the average attendance for the four shows will be between 100 and 120,inclusive.the attendance for the first three shows was 100,105,and 91. what possible attendance numbers for the fourth show will allow them to reach their goal? wright and solve an inequality for this solution . how do i even begin to answer this??? whats the answer?
Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 533216: what is the divisibility of 13,710
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Question 533499: Can you find a number less than 150 that is divisible by 4 different prime numbers? Justify your answer.
I have tried a bunch of different methods to figure this out (Including trail & Eroor)and I really can't figure it out.

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Question 536332: Divide the binary number 10,010,101 by 1010 show details
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Question 536361: could you please help me could you please show me how to divide the binary number 10,010,101 by 1010
Click here to see answer by fcabanski(874) About Me 

Question 536865: A group of soldiers consists of less than 10000 individuals. When the commander tries to line up his soldiers in 70 equal rows, he finds that 55 soldiers were left over, when he tries to form 65 equal rows, he finds that 50 soldiers were left over, and when he tries to form 60 equal rows, he finds that 45 soldiers were left over. Is it possible for this commander to line up his soldiers in 55 equal rows? Why or why not?
Click here to see answer by KMST(1868) About Me 

Question 537866: Hello...can you tell me the anser to 49 divided by 4,255
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Question 538998: find the prime fractorization of 180

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Question 539753: what are the divisible numbers to 2367

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Question 539753: what are the divisible numbers to 2367

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Question 486539: 999 +9
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Question 542072: I am a number less than 40. One of my factors is 7. the sum of my digits is 8. what number am I?
Click here to see answer by Edwin McCravy(8908) About Me 

Question 543190: Hi,
Kindly provide the solution for this below mentioned problem?
Find the largest 5-digit number which when divided by 84, 72 and 96 leaves remainder 82, 70, and 94 respectively.
Regards
Gopinath

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Question 542569: What is 13/20 minus 1/5
9/20

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Question 547130: Divide:


x2
- x
+
3


x
+
1

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Question 547381: what is divisble by both 3 and 4

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Question 547381: what is divisble by both 3 and 4

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Question 547865: which prime numbers can make the number 90?
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Question 547865: which prime numbers can make the number 90?
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Question 548318: a three digit number is divided by a 1 digit number the quotient is a 2 digit number what can you say about the dividend and the divisor ?
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Question 549528: i am a two digit prime number the product of my digits is 24 what number am i?
Click here to see answer by mananth(12270) About Me 

Question 549506: What is the remainder when 2^1024 + 5^1024 +1 is divided by 9?
Click here to see answer by richard1234(5390) About Me 

Question 550005: Use synthetic division to determine which pair of integers provide both a lower and an upper bound for the zeros of f%28X%29=2X%5E4-X%5E3-23X%5E2%2B46X-24
Click here to see answer by stanbon(57307) About Me 
Question 550005: Use synthetic division to determine which pair of integers provide both a lower and an upper bound for the zeros of f%28X%29=2X%5E4-X%5E3-23X%5E2%2B46X-24
Click here to see answer by lwsshak3(6491) About Me 

Question 550084: The radio signal from the transmitter site of radio station WGGW can be received only within a radius of 52 miles in all directions from the transmitter site. A map of the region of coverage of the radio signal is shown be low in the
standard (x,y) coordinate plane, with the transmitter site at the origin and 1 coordinate unit representing 1 mile.
i don't know how to do a graph on here as there also is a graph to do these 3 problems. There is a circle, then a vertical and horizontal line crossing and where the intersect, there is like a 0 sort of. Then from that 0 to the y axis up is 52 and to the x axis on right is 52 too. So hope this helps, sorry i couldn't draw a graph for an easier way to do this problem.
54. Which of the following is closest to the area, in square miles, of the region of coverage of the radio signal? the answer is j but how did it get that so work would be much appreciated.
F. 2,120
G. 2,700
H. 4,250
J. 8,500
K. 16,990
55. Whi ch of the fol lowing i s an equa t ion of the c i r c l e
shown on the map? the answer is e but how did it get that so work would be much appreciated.
A. x + y = 52
b. (x+y)^2=52
c. (x+y)^2=52^2
d. x^2+y^2=52
e. x^2+y^2=52^2
56. The transmitter site of radio station WGGW and the
transmitter site of another radio station, WGWB, are
on the same highway 100 miles apart. The radio signal
from the transmitter site of WGWB can be received
only within a radius of 60 miles in all directions from
the WGWB transmitter site. For how many miles along
the highway can the radio signals of both stations be
received? the answer is g but how did it get that so work would be much appreciated.
(Note: Assume the highway is straight.)
F. 8
G. 12
H. 40
J. 44
K. 48
so hope this helps and thank you for ur help as well as happy new year and merry christmas!

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Question 550256: classify the number as prime, composite, or neither
10

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Question 550249: Factor completely Please show work as I am not sure how to do this.
9t2 + 14t + 5

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Question 550397: Factor by grouping, if possible, and check
8a3 − 2a2 + 12a − 3
(8a^3 - 2a^2) + (12a - 3)
2a^2(4a - 1) + 3(4a - 1)
(2a^2 + 3) + (4a - 1)
The instructor says this is wrong, but I don't understand why. All I was told is to check the last line. Help plz!!

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Question 550489: Factor the expression 49x^2-42xy+9b^2
I got the answer (7x-3y)(7x-3y), something tells me this is wrong however. I've worked on it for the last 3 hours now and just need some help I guess.

Click here to see answer by Edwin McCravy(8908) About Me 
Question 550489: Factor the expression 49x^2-42xy+9b^2
I got the answer (7x-3y)(7x-3y), something tells me this is wrong however. I've worked on it for the last 3 hours now and just need some help I guess.

Click here to see answer by scott8148(6628) About Me 

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