Answer:
Each cat eats a tin each day. It means 2 tins are required each day for both the cats. So, for 14 days, they will need 28 tins.
Sue has bought just 8 tins, which is not enough
Answer:
Question A)

Question B)

Question C)

Step-by-step explanation:
A)
We are given:

We can rewrite the expression:

The square root and square will cancel each other out. Thus:

B)
We are given:

Rewrite:

Note that the square root of 9 is simply 3. We can also factor the second part:

Rewriting:

Simplify:

C)
We are given:

Rewrite. Note that 50 = 25(2):

Simplify. We can rewrite the factor as:

The square and square root will cancel out. Thus:

A. is obviously the most easiest one, as you just have to fill it up 3 times to get 3 gallons.
The next one to measure exactly 3 gallons of water is B), because:
1) the 100-gallon barrel is more than 1 gallon, and is much more harder than 3 gallons.
2) Each person's 'palm' can hold different amounts of water, and so it can vary by the size of the palm.
So IF it cannot be (A), then your next choice is (B), as you only need 768 teaspoons for each gallon.
But, you should report this problem to the teacher, since A is obviously the best choice
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 = - 