Questions on Algebra: Distributive, associative, commutative properties, FOIL answered by real tutors!

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Algebra: Distributive, associative, commutative properties, FOIL

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Question 23267: How to show a*b = b*a?
Thanx.
Click here to see answer by AnlytcPhil(958)

Question 21825: given(3+4); write an equivalent expression using the distributive property
Click here to see answer by rapaljer(3620)

Question 23407: how do u do -2/3(4x+5)=10
Click here to see answer by Alwayscheerful(414)

Question 23453: (3-8)7=
Click here to see answer by ipridian(1)

Question 23395: How do I insert parentheses to make these statements true? Thank you!
-8+3-2+7=-2
-8+3-2+7=-16
Click here to see answer by josmiceli(3003)

Question 24609: .003k+0.188-.001k=.2k-.01

Click here to see answer by rahman(247)

Question 25248: 1. 2(x+1)=3x-1.
2. 6(x+1)=12(x-3).
Click here to see answer by elima(1433)

Question 25311: I NEED HELP WITH FINDING OUT WHAT NUMBER REPERSENT X
Click here to see answer by elima(1433)

Question 25653: 5a+2a(5-b)=
Click here to see answer by stanbon(26259)

Question 25812: (9 - 5)2 + 5 + 4² =
Click here to see answer by atif.muhammad(135)

Question 25810: (9 - 5)2 + 5 + 4² =
Click here to see answer by elima(1433)

Question 25826: use the distributive property to write an expression that is equivalent to 3ax+6ay
Click here to see answer by elima(1433)

Question 25911: Put in radical for and simplify.
[(128a^2b^4)/(16ab)]1/2
I came up with - don't know how to show radical - 8ab^3
Thanks
Click here to see answer by tayegeb(1)

Question 25984: 42x25=21xN
What number does N represent?
Click here to see answer by mike69(9)

Question 26049: What is the measure of the base of a triangle with a height of 20cm and an area of 100cm?
Click here to see answer by stanbon(26259)

Question 26055: To the nearest tenth, the circumference of a circle with a radius of 3cm is what
Click here to see answer by stanbon(26259)

Question 26067: A right triangle has sides 15cm and 20cm. What is the lenght of the hypotenuse?THANKYOU
Click here to see answer by Earlsdon(4898)

Question 26065: A right triangle has sides 15cm and 20cm. What is the lenght of the hypotenuse?
Click here to see answer by smoothflyin(6)

Question 26156: Help Me with this Story Problem and Please Show all of the Steps. Here is the Story Problem:
A group of campers and one group leader left a campsite in a canoe traveling at a steady 8 km/h. One hour later, the other group leader left the campsite in a moterboat with all of the supplies. The moterboat followed the canoe at a steady 20km/h. How long after the canoe left the campsite did the moterboat overtake it?
That is my question.
Thanks!!
Jamie Thompson
Click here to see answer by Paul(988)

Question 26166: iam trying to solve 5(n+2)+8n+1 please explain how to get the answer. Thank you. Breanna
Click here to see answer by stanbon(26259)

Question 26210: 3(z+6) + 6(z+9)
Click here to see answer by AnlytcPhil(958)

Question 26202: Show for intergers a,b and k that gcd(a,b)=gcd(a,b+ka).
PLEASE NEED HELP WITH THIS QUESTION
Click here to see answer by venugopalramana(3286)

Question 26249: Show by an example that the following statement is false in general for integers a, b and c a|c and b|c => ab|c

Click here to see answer by AnlytcPhil(958)

Question 26268: Show by an example that the following statement is false in general for integers a, b, and c
a/c and b/c right arrow a+b/c.
Note:(/) this means vertical straight lines
Click here to see answer by stanbon(26259)

Question 26326: For integers a and b show that
a|b also equals -a|b and a|-b and -a|-b
Click here to see answer by venugopalramana(3286)

Question 26115: Show for integers a,b and k that gcd(a,b)=gcd(a,b+ka).
Click here to see answer by venugopalramana(3286)

Question 26363: simplify the expression, (-14)(-y^2)

Click here to see answer by uknouluvme89(30)

Question 26380: Find all n that belongs to the natural numbers satisfying the following inequality.
(n^(2))<(n-1)!
(!) means factorial
Click here to see answer by stanbon(26259)

Question 26383: Calculate gcd(x,y) and express it as an integral linear combination of x and y.
a) x=3113, y=1331
The gcd(3113,1331) is 451, but i don't know how to express as a integral combination of x and y.
Click here to see answer by venugopalramana(3286)

Question 26472: Let {F(n)} = {1,1,2,3,5,8,13,21,34,55,···} be the Fibonacci sequence
defined by
F(1) = F(2) = 1, F(n)= F(n-1) + F(n-2) if n > 2.
Show that holds for n that is greator or equal to 1.
F(2) + F(4)+....+ F(2n) = F(2n+1) - 1

Click here to see answer by AnlytcPhil(958)

Question 26478: Use the principle of mathematical induction to prove the following identity.
If n is greator and equal to 1 then,
1*2+.......+n(n+1) = (n(n+1)(n+2))/3
Click here to see answer by venugopalramana(3286)

Question 26480: Let a and b be positive integers, assume that (a^(3))|(b^(3)).
How do i prove tha a|b using prime factorization of a and b.
Click here to see answer by venugopalramana(3286)

Question 26635: Give the gcd(a,b) and integral linear combination of a and b
a=30031 and b=12449
I calculated the gcd to be 59 i am not sure if that is correct
Click here to see answer by venugopalramana(3286)

Question 26590: Let (Tn) = (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, . . .) be the Fibonacci sequence defined by
T1 = T2 = 1, Tn = T(n−1) + T(n−2) if n > 2.
Show that the following hold for n that is greator or equal to 1.
T2+T3+...+T(2n-1)=T(2n)
Click here to see answer by venugopalramana(3286)

Question 26589: (cos x -sin x)^n
(sin x cos x)
=
(cos(nx) -sin(nx))
(sin(nx) cos(nx))
Show that for all natural numbers n. Using formulas for cosine and sine.
(those are suppose to be matrix and the x in the matrix are suppose to be pheta)

Click here to see answer by venugopalramana(3286)

Question 26646: Let (Fn)=(1,1,2,3,5,8,13,21,34,55,...) be the fibonacci sequence defined by
F1=F2=1, Fn=F(n-1)+F(n-2) if n>2.
Show that it holds for n which is greator and equal to 1.
Fn < 2^(n)

Click here to see answer by venugopalramana(3286)

Question 26701: Let r=12*95*1750 and h=38*25^(2)*16^(3).
Give all common divisors, gcd, and lcm of a and b
Click here to see answer by venugopalramana(3286)

Question 26684: show that the binary operation is a group and determine if it is Abelian
H = {(a,b)belong to R^(2): a can not equal 0} with product
(a,b)(c,d) = (ac,ad + b)
Click here to see answer by venugopalramana(3286)

Question 26682: Let a not equal 0, b and c be integers with a and b relatively prime.
Show that if a|b*c then a|c.
how do i give equations for relatively prime and divisible and then substitute.

Click here to see answer by venugopalramana(3286)

Question 26724: Please help me solve this equation: 2=n-(2n+3). I need to find the value of n. The book has the answer in the back for reference but I keep coming up with the wrong answer. This is the solution I got:
2=n-(2n+3)
2=n-2n+3
2=1n+3
-3=1n-3
-1/1=1n/1 n=1

Click here to see answer by longjonsilver(2297)

Question 26833: Hello I am helping my son on a homework assignment. Unfortunately am stuck on this question. Can someone help me out. Any assistance would be greatly appreciated. Here is the question:

Mary counted her dimes when she put then in groups of 4 she have 2 dimes leftovers.
When she put them in groups of 5 she have 1 leftovers, what is the smallest numbers of dimes she could have if she have more that 10 dimes?
Click here to see answer by Earlsdon(4898)

Question 26683: Verify that thesetof orthogonal nxn matrices form a subgroup of the general linear group GLn(R).
Click here to see answer by venugopalramana(3286)

Question 26758: Show that it is a binary operation is a group and determine if it is Abelian.
Reals(R)\{-1} with operation * defined by
a*b = a+b+ab
Click here to see answer by venugopalramana(3286)

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