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svp [43]
3 years ago
5

A paint that contains 27 % green dye is mixed with a paint that contains 12 % green dye. How many gallons of each must be used t

o make 80 gal of paint that is 24 % green dye? (round answers to the hundredths place)
The number of gallons needed from the first container is =
The number of gallons needed from the second container is=
Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0

Answer:

54 gallons of 26 percent green dye and then 54 gallons of 16 percent green dye

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Anna [14]

5 x 3²⁴  bacteria will there be after one day.

What is exponents?

Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".

Consider what is actually happening in the question.

You begin with 5 bacteria, and after 1 hour it has tripled so you now have

5x 3=15.

Next hour, it triples again so you now have 5 x 3 x 3=45

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 3⁴  means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 5 x 3²⁴.

Hence 5 x 3²⁴  bacteria will there be after one day.

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