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2 years ago

A full bag of dog food weighs 5 1 2 pounds. How much dog food do you have if there are 3 3 4 bags in the cupboard

Mathematics

2 answers:

Ulleksa [173]2 years ago

6 0

You would have 171,008 lbs. of dog food. Because 512 pounds times 334 bags equals 171,008lbs.

VladimirAG [237]2 years ago

4 0

Now, we know there are 3 and 3/4 bags in the cupboard, and each one of them weights 5 and 1/2 lbs, so the amount in the cupboard is just their product.

now, let's firstly convert the mixed fractions to "improper" and do the product after,

$\bf \stackrel{mixed}{5\frac{1}{2}}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}}
\\\\\\
\stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{2}\implies \stackrel{improper}{\cfrac{15}{4}}\\\\
-------------------------------\\\\
\cfrac{11}{2}\cdot \cfrac{15}{4}\implies \cfrac{165}{8}\implies \stackrel{lbs}{20\frac{5}{8}}$

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Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

$\frac{ n!}{ n1!*n2!*...*nk! }$

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

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We get:

$\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}$

Part 2:

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So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of:

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We get:

$\frac{ 15!}{ (15-4)! } = 32760$

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1 year ago

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2 years ago

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2 years ago

The library is 1.75 miles directly north from the school. The park is 0.6 miles directly south of the school. How far away is th

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Answer:

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Step-by-step explanation:

Please find the attachment for visual understanding.

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Therefore, library is 2.35 miles away from park.

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