$54 is 60% of what amount?

In an election 32 thousand people voted for Mayor Jackson. A total of 56 thousand people voted in the election. What is the rati

expeople1 [14]

Answer:

3:7

Step-by-step explanation:

To find the ratio of the number of votes that were NOT for mayor Jackson, we need to subtract the number of votes that WERE for mayor Jackson to the total number of people that voted in the election.

56,000 - 32,000 = 24,000

So this means that:

24,000 : 56,000

We can simplify this by dividing both sides by 8,000.

24,000 / 8000 = 3

56,000 / 8000 = 7

So we get:

24,000 : 56,000 = 3:7

3 0

3 years ago

A sequence is defined by the recursive function f(n + 1) =1/3 f(n). If f(3) = 9 , what is f(1) ?

USPshnik [31]

<h3>A sequence is defined by the recursive function then f(1) is 81</h3>

Solution:

Given that,

A sequence is defined by the recursive function:

$f(n+1) = \frac{1}{3} \times f(n)$ ------ eqn 1

Given that,

$f(3) = 9$

Substitute n = 2 in eqn 1

$f(2 + 1) = \frac{1}{3} \times f(2)\\\\f(3) = \frac{1}{3} \times f(2)\\\\Substitute\ f(3) = 9\\\\9 = \frac{1}{3} \times f(2)\\\\f(2) = 27$

Substitute n = 1 in eqn 1

$f(1 + 1) = \frac{1}{3} \times f(1)\\\\f(2) = \frac{1}{3} \times f(1)\\\\Substitute\ f(2) = 27\\\\27 = \frac{1}{3} \times f(1)\\\\f(1) = 27 \times 3\\\\f(1) = 81$