*I'll be keeping the solutions in exact form*
So firstly, square root both sides. This will split the equation into two:
Next, add 1 on each side: 
Next, divide 3 on both sides, and your answers will be 
Answer:
Step-by-step explanation:
If you divide 
by 4 (both numerator and denominator)
You get which is equivalent to the given ration
-6a - 4a + 7a = -10a + 7a = -3a, that isn't 5a;
b. False
Answer:
About 2970 princesses
Step-by-step explanation:
This is calculated as:
For 1 student:
1 minute = 2 princesses
55 minutes = x princesses
x = 55 × 2 princesses
x = 110 princesses.
Hence: 1 student can make 110 princesses in 55 minutes.
The amount of princesses all the students make in 55 minutes is calculated as:
1 student = 110 princesses
27 students = x
x = 27 × 110 princesses
x = 2970 princesses
The amount of princesses all the students make in 55 minutes is about 2970 princesses.
Answer:
The smallest amount is £6911
Step-by-step explanation:
Rate of Interest = R = 5% per year
Duration in years = n = 3 year
Amount expected after three years when compounded annually = A = £8000
Formula for Amount of compound interest annually is a follows
A = P( 1 + R/100)^n
In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get
8000 = x ( 1 + 5/100)^3
⇒8000 = x ( 105/100)^3
⇒8000 = x ( 21/20 )^3
⇒(8000 × 20 × 20 × 20)/(21×21×21) = x
⇒x = 6910.70≈6911
