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3 years ago

What is

ign="absmiddle" class="latex-formula"> written in lowest terms?
A: $\frac{3}{8}$
B: $\frac{3}{10}$
C: $\frac{1}{2}$
D: $\frac{1}{4}$

Mathematics

1 answer:

Likurg_2 [28]3 years ago

3 0

$\dfrac{12}{32}=\dfrac{12:4}{32:4}=\dfrac{3}{8}\to\boxed{A}$

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Can some people give me some equations

Illusion [34]

Answer:

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Step-by-step explanation:

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4 years ago

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There are 82 boats in the navy. 48 of them are battleships and the rest are destroyers. What is the ratio of the number of destr

Helga [31]

There are 82 boats in the navy. 48 of them are battleships and the rest are destroyers. What is the ratio of the number of destroyers to the number of battleships?

Let

x -----> the number of destroyers

y ----> the number of battleships

the ratio is

x/y

we have

y=48

x=82-48=34

therefore

ratio=34/48

simplify

34/48=17/24

answer is 17/24 or 17:24

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2 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

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