4 years ago

How many quarter pound 1/4 packets can a garden shop make out of 8 pounds of the plant food

2 answers:

8 0

32

Sorry, I couldn't really think of a way to explain but the best I can is by multiplying the 4 by 8 to get the answer of 32

disa [49]4 years ago

4 0

Answer:

32 packets.

Step-by-step explanation:

We are asked to find the number of quarter pound packets can be made out of 8 pounds of the plant food.

To solve our given problem, we will divide total amount of plant food by 1/4 as:

$\text{Number of quarter pound packets}=8\div \frac{1}{4}$

Convert to multiplication problem by flipping the 2nd fraction:

$\text{Number of quarter pound packets}=8\times \frac{4}{1}$

$\text{Number of quarter pound packets}=8\times 4$

$\text{Number of quarter pound packets}=32$

Therefore, 32 packets of quarter pound can be made out of 8 pounds of the plant food.

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Simplify the expression \[\frac{6}{\sqrt{36} + \sqrt{27}} + \frac{6}{\sqrt{27} + \sqrt{18}} + \frac{6}{\sqrt{18} + \sqrt{9}}.\]

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= 18 ( 3 + 2(\sqrt{3} + \sqrt{2} ))

Step-by-step explanation:

$6(\sqrt{36} +\sqrt{27}) + 6(\sqrt{27} +\sqrt{18}) + 6(\sqrt{18} + \sqrt{9} )\\= 6( {6} +\sqrt{9*3}) + 6( \sqrt{9*3} +\sqrt{9*2}) + 6(\sqrt{9*2} + 3 )\\= 6( {6} +3\sqrt{3}) + 6(3\sqrt{3} +3\sqrt{2}) + 6(3\sqrt{2} + 3 )\\=36 + 18\sqrt{3} + 18\sqrt{3} + 18\sqrt{2}+ 18\sqrt{2} + 18\\= 36+18 +18( \sqrt{3}+ \sqrt{3} +\sqrt{2} + \sqrt{2})\\= 54 + 18 (2\sqrt{3} +2\sqrt{2})\\=54 + 36\sqrt{3} + 36\sqrt{2}\\= 18 ( 3 + 2(\sqrt{3} + \sqrt{2} ))$