Some hard math i need help with (listed in details), Thanks.?

Question

1. 5/a + 6/b
2. w/3 - k/5
3. 3x/y(9y/x)
4. 5x-11x=23 x= ?
5. 4/5y - 8 = 2/5y +16 y= ?
6._a-6_= _a-2_ (_ _ = a-6 over 12) a = ?
12 4
7. 1/2x + 5/6 = 3/4x - 1/3 x= ?
8. 4/5y - 8 = 2/5y + 16 y = ?
9. -4w + 5 <_ -12 ( <_ =less than or equal to)
10. 8+3b < 2(9-b)

Any help you can give is much appreciated. Ive tried all these 10 times over and gotten nothing.

Answer 1

1.
not factorable.

2.
(w)/(3)-(k)/(5)
Reorder the polynomial (w)/(3)-(k)/(5) alphabetically from left to right, starting with the highest order term.
-(k)/(5)+(w)/(3)

3.
(3x)/(y)*((9y)/(x))
Multiply the rational expressions to get (3x((9y)/(x)))/(y).
(3x((9y)/(x)))/(y)
Remove the common factor of x from the numerator of the first term (3x)/(y) and the denominator of the second term
(9y)/(x).
(3)/(y)*9y
Reduce the expression by removing the common factor of y in the denominator of the first term (3)/(y) and the second term 9y.
3*9
Multiply 3 by 9 to get 27.
27

4.
5x-11x=23x
Since 5x and -11x are like terms, add -11x to 5x to get -6x.
-6x=23x
Since 23x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 23x from both sides.
-6x-23x=0
Since -6x and -23x are like terms, subtract 23x from -6x to get -29x.
-29x=0
Divide each term in the equation by -29.
-(29x)/(-29)=(0)/(-29)
Simplify the left-hand side of the equation by canceling the common terms.
x=(0)/(-29)
Simplify the right-hand side of the equation by simplifying each term.
x=0

5.
(4)/(5y)-8=(2)/(5y)+16
Since -8 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 8 to both sides.
(4)/(5y)=8+(2)/(5y)+16
Add 16 to 8 to get 24.
(4)/(5y)=24+(2)/(5y)
Find the LCD (least common denominator) of
(4)/(5y)+24+(2)/(5y).
Least common denominator: 5y
Multiply each term in the equation by 5y in order to remove all the denominators from the equation.
(4)/(5y)*5y=24*5y+(2)/(5y)*5y
Simplify the left-hand side of the equation by canceling the common terms.
4=24*5y+(2)/(5y)*5y
Simplify the right-hand side of the equation by simplifying each term.
4=120y+2
Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
120y+2=4
Since 2 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2 from both sides. 120y=-2+4
Add 4 to -2 to get 2.
120y=2
Divide each term in the equation by 120.
(120y)/(120)=(2)/(120)
Simplify the left-hand side of the equation by canceling the common terms.y=(2)/(120)
Simplify the right-hand side of the equation by simplifying each term.y=(1)/(60)

6.
I dont understand your writing..... sorry :(

7.
(1)/(2x)+(5)/(6)=(3)/(4x)-(1)/(3)
Since (5)/(6) does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting
(5)/(6) from both sides.
(1)/(2x)=-(5)/(6)+(3)/(4x)-(1)/(3)
Find the LCD (least common denominator) of
(1)/(2x)-(5)/(6)+(3)/(4x)-(1)/(3).
Least common denominator: 12x
Multiply each term in the equation by 12x in order to remove all the denominators from the equation.
(1)/(2x)*12x=-(5)/(6)*12x+(3)/(4x)*12x-(1)/(3)*12x
Simplify the left-hand side of the equation by canceling the common terms.
6=-(5)/(6)*12x+(3)/(4x)*12x-(1)/(3)*12x
Simplify the right-hand side of the equation by simplifying each term. 6=-14x+9
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
-14x+9=6
Since 9 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 9 from both sides. -14x=-9+6
Add 6 to -9 to get -3.
-14x=-3
Divide each term in the equation by -14.
-(14x)/(-14)=-(3)/(-14)
Simplify the left-hand side of the equation by canceling the common terms. x=-(3)/(-14)
Simplify the right-hand side of the equation by simplifying each term. x=(3)/(14)

8. same as #4 ;)
(4)/(5y)-8=(2)/(5y)+16
Since -8 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 8 to both sides.
(4)/(5y)=8+(2)/(5y)+16
Add 16 to 8 to get 24.
(4)/(5y)=24+(2)/(5y)
Find the LCD (least common denominator) of
(4)/(5y)+24+(2)/(5y).
Least common denominator: 5y
Multiply each term in the equation by 5y in order to remove all the denominators from the equation.
(4)/(5y)*5y=24*5y+(2)/(5y)*5y
Simplify the left-hand side of the equation by canceling the common terms.
4=24*5y+(2)/(5y)*5y
Simplify the right-hand side of the equation by simplifying each term. 4=120y+2
Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
120y+2=4
Since 2 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2 from both sides. 120y=-2+4
Add 4 to -2 to get 2.
120y=2
Divide each term in the equation by 120.
(120y)/(120)=(2)/(120)
Simplify the left-hand side of the equation by canceling the common terms. y=(2)/(120)
Simplify the right-hand side of the equation by simplifying each term. y=(1)/(60)

9)
-4w+5<=-12
Since 5 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 5 from both sides.
-4w<=-5-12
Subtract 12 from -5 to get -17.
-4w<=-17
Divide each term in the inequality by -4.
-(4w)/(-4)>=-(17)/(-4)
Simplify the left-hand side of the inequality by canceling the common terms.
w>=-(17)/(-4)
Simplify the right-hand side of the inequality by simplifying each term.
w>=(17)/(4)

10)
8+3b<2(9-b)
Reorder the polynomial 9-b alphabetically from left to right, starting with the highest order term.
3b+8<2(-b+9)
Multiply 2 by each term inside the parenthesis (-b+9).
3b+8<(2(-b)+2(9))
Complete the multiplication of 2 by each term inside the parenthesis.
3b+8<(-2b+18)
Remove the parenthesis around the expression -2b+18.
3b+8<-2b+18
Since -2b contains the variable to solve for, move it to the left-hand side of the inequality by adding 2b to both sides.
3b+8+2b<18
Since 3b and 2b are like terms, add 2b to 3b to get 5b.
5b+8<18
Since 8 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 8 from both sides.
5b<-8+18
Add 18 to -8 to get 10.
5b<10
Divide each term in the inequality by 5.
(5b)/(5)<(10)/(5)
Simplify the left-hand side of the inequality by canceling the common terms.
b<(10)/(5)
Simplify the right-hand side of the inequality by simplifying each term.
b<2

Answer 2

1. 5/a + 6/b = (5a+6b)/ab
cross multiply denominator to make them 1 fraction

2. w/3 - k/5 = (5w-3k)/15
same as above

3. 3x/y (9y/x) = (27xy)/xy = 27
multiply numerator to numerator, denominator to denominator, then simplify

4. 5x-11x=23
-6x=23
x= -23/6
group similar variables together, and solve

5. multiplyentire equation with 5y to get rid of the fraction
4-40y=2+80y^2
0 = 80y^2 + 40y - 2
use formula to solve a=80 b=4 c= -2
[b + or - root of (b^2-4ac)]/2a

6. i dun understand the question

i'm bored now, so i'm gonna stop here

Answer 3

First two find the least common denominator.

#3 simple multiplication, polynomial

Rest follow order of operations