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olchik [2.2K]
4 years ago
13

Choose the correct simplification of the expression a6b3/a4b2

Mathematics
1 answer:
Law Incorporation [45]4 years ago
8 0

Answer:

a2b

Step-by-step explanation:

a6b3 / a4b2

When dividing exponents, you subtract them.

a6-4

b3-2

Leaving you with a2b


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A chemist needs 130 milliliters of a 47% solution but has only 35% and 87% solutions available. Find how many milliliters of eac
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Answer: Amount of 35% solution required = 100 milliliters

Amount of 87% solution required  = 30 milliliters

Step-by-step explanation:

Given: Total solution required =  130 milliliters

Let x = Amount of 35% solution (in milliliters).

Then, Amount of 87% solution required = 130 - x

As per given,

Concentration = 0.35x +0.87(130-x)=0.47(130)

0.35x +113.1-0.87x=61.1\\\\\Rightarrow\ -0.87x+0.35x=61.1-113.1\\\\\Rightarrow\ -0.52 x= -52\\\\\Rightarrow\ x=\dfrac{52}{0.52}=100

Hence, Amount of 35% solution required = 100 milliliters

Amount of 87% solution required  = 130-100 milliliters =30 milliliters

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