Answer:
see explanation
Step-by-step explanation:
Given
9n² - n - 
= 0 ← multiply through by 3 to clear the fraction
27n² - 3n - 2 = 0 ← factoring
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term
product = 27 × - 2 = - 54 and sum = - 3
The factors are - 9 and + 6
Use these factors to split the n- term
27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )
9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term
(3n - 1)(9n + 2) = 0
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = 
9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - 
Answer:
Step-by-step explanation:
radius r = 4 in
slant height L = 15 in
base area = πr² = 16π in²
lateral area = πrL = 60π in²
surface area = 76π in²
r = 4×6, L = 15×6
base area = (4×6)²π = 16π×36
lateral area = 60π×36
surface area is multiplied by 36
The number of muffin can yield is 18.
Step-by-step explanation:
Given:
The recipe needs 
cup chopped apple.
To find:
Umber of muffins when 1 
cup chopped apple is given.
Solution:
1 ÷ = 1.5
1 cup apple is 1.5 times of cup of apple
So, the number of muffins will be = 12 × 1.5
= 18
Thus 18 muffins can be yielded from a batch that contains 1 1/8 cups of chopped apple
