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2 years ago

Are the ratios 16:8 and 4:2 equivalent?

Mathematics

1 answer:

WINSTONCH [101]2 years ago

4 0

Yes
16/4 is 4
8/2 is 4 as well
Making them equivalent

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Pls help me with this

alexgriva [62]

Answer:

x = 1.5

Step-by-step explanation:

Given

$\frac{x}{2} \geq 0.75$

$\frac{x}{2} < 2.5$

Required

Find the value of x.

First, the inequalities need to be rewritten and merged;

if $\frac{x}{2} \geq 0.75$ , then

$0.75 \leq \frac{x}{2}$

Multiply both sides by 2

$2 * 0.75 \leq \frac{x}{2} * 2$

$1.5 \leq x$

Similarly;

$\frac{x}{2} < 2.5$

Multiply both sides by 2

$2 * \frac{x}{2} < 2.5 * 2$

$x < 5$

Merging these results together; to give

$1.5 \leq x < 5$

This means that the range of values of x is from 1.5 to 4.9999....

From the question, x is the smallest rational number; from the range above ( $1.5 \leq x < 5$ ), the minimum value of x is 1.5 and 1.5 is a rational number;

Hence, x = 1.5

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2 years ago