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2 years ago

Write the numeral 0.0284 × 10^4 in scientific notation. A. 28.4 × 101 B. 0.284 × 103 C. 2.84 × 102 D. 284

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

7 0

Answer:

2.84×10²

Step-by-step explanation:

0.0284×10⁴

Move the decimal point 4 places to the right.

284

Now write in scientific notation by moving the decimal point 2 places to the left, behind the 2.

2.84×10²

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Answer:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

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And solving for Y we got:

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And solving for X from equation (3) we got:

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Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

$0.25 X + 0.05 Y = 20*0.08$ (1)

And for the water we have:

$0.75 X + 0.95Y = 20*0.92$ (2)

If we solve for X from equation (1) we got:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

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