Help me with my pre algebra hw

Mathematics

2 answers:

Nezavi [6.7K]3 years ago

8 0

0.4 (2x + 1/2) = 3 [0.2x+(-2)] - 4
0.4 (2x + 1/2) = 3(0.2x-2) - 4

Then, you have to use the distributive property.
0.8x + 0.2 = 0.6x - 6 - 4
0.8x + 0.2 = 0.6x - 10
0.8x - 0.6x + 0.2 = -10
0.2x + 0.2 = -10
0.2x = -0.2 - 10
0.2x = -10.2
x = -10.2/0.2
x = -51

Does that make sense?

Studentka2010 [4]3 years ago

5 0

We just distribute the numbers out inside the parenthesis:

0.4(2x + $\frac{1}{2}$ ) = 3[0.2x + (-2)] - 4
(0.4 × 2x) + (0.4 × $\frac{1}{2}$ ) = (3 × 0.2x) + (3 × -2) - 4
0.8x + 0.2 = 0.6x - 6 - 4

Join the like terms:

0.8x + 0.2 = 0.6x - 10

0.8x - 0.6x = -10 - 0.2
0.2x = -10.2

Divide by 0.2 to isolate x

$\frac{0.2x}{0.2}$ = $-\frac{10.2}{0.2}$
0.2 and 0.2 cancels out

x = -51

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Marrrta [24]

Answer:

$0.46=\frac{23}{50}$

Step-by-step explanation:

To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:

Let x = $\frac{0.46}{1}$

10x = $10*\frac{0.46}{1} =\frac{4.6}{10}$

100x = $100*\frac{0.46}{1}=\frac{46}{100}$ this is our perfect fraction, now we simplify later

100x - 10x = $\frac{46}{100} -\frac{4.6}{10}$

90x = $\frac{46}{100} -\frac{4.6}{10} =0$ this is to confirm both fractions are equal

x is the same as $\frac{0.46}{1}$ as $\frac{4.6}{10}$ as $\frac{46}{100}$ but here x = $\frac{46}{100}$ because a fraction has to have no decimals.

So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to $\frac{46}{100} = \frac{23}{50}$ here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)