Answer:
1. 43/36
2. 1/2
Step-by-step explanation:
1. 7/9 + 5/12
= LCM of 9 and 12 is 36
= 28/36 + 15/12
= (28 + 15) / 36
= 43/36
2. 21/24 - 3/8
= LCM of 24 and 8 is 24
= 21/24 - 9/24
= (21 - 9) / 24
= 12/24
= 1/2
Let x = Barbie's number
1/3 x -20 = 72
1/3 x = 92
x = 92*3=276
Answer:
2.44
Step-by-step explanation:
12 1/2 / 5 =2.44
Answer:
<em>C.</em> 
Step-by-step explanation:
Given

Required
Determine which binomial expansion it came from
The first step is to add the powers of he expression in brackets;


Each term of a binomial expansion are always of the form:

Where n = the sum above

Compare
to the above general form of binomial expansion

Substitute 6 for n

[Next is to solve for a and b]
<em>From the above expression, the power of (5) is 2</em>
<em>Express 2 as 6 - 4</em>

By direct comparison of

and

We have;

Further comparison gives



[Solving for a]
By direct comparison of 



[Solving for b]
By direct comparison of 


Substitute values for a, b, n and r in



Solve for 








<em>Check the list of options for the expression on the left hand side</em>
<em>The correct answer is </em>
<em />
Answer:
1) y=8/3=2 2/3 2) x=4 3) x+10
Step-by-step explanation:
1) 10+5-7=3y
Calculate the sum or difference.
8=3y
Swap the sides of the equation.
3y=8
Divide both sides by 3.
y=8/3=2 2/3
2) -10x+5x+5=-15
Collect like terms.
-5x+5=-15
Move the constant to the right-hand side and change the sign.
-5x=-15-5
Calculate the difference.
-5x=-20
Divide both sides by -5.
x=4
3) 3x+2x-4x+10
Collect like terms.
(3+2-4)x+10
Calculate the sum or difference.
1x+10
When the term has a coefficient of 1, it doesn't have to be written.
x+10
Hope this helps :)