Answer:

Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
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<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 + 
= 
Answer:
W=7
Step-by-step explanation:
-3W+27=6
Subtract 27 from both sides to isolate the variable.
-3W=-21
Divide by -3 to solve for W
w=7
Answer: X = -12
Step-by-step explanation: 1) 12 + x/4 = 9
2) 12 + x/ 2^2 = 9
3) x/ 2^2 + 12 = 9
It’s written in slope intercept form .
Answer:
a ) 400 percent
b ) n = 25
c) n= 36
Step-by-step explanation:
Is means equals, of means multiply and percents need to be changed to decimals.
a) 120 is what percentage of 30
120 = P * 30
Divide each side by 30
120/30 =P* 30/30
4 = P
Multiply by 100 to give the percentage
4 * 100
400 percent
b) 30 is 120% of what number
30 = 1.2 * n
Divide each side by 1.2
30/1.2 = 1.2n/1.2
25 = n
c) what number is 30%of 120
n = .3 * 120
n =36