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Artemon [7]
3 years ago
13

What is 1 and four quarters

Mathematics
2 answers:
Oksanka [162]3 years ago
7 0
I and 4 quarters is going to be 25 if that is what you’re looking for
alexira [117]3 years ago
5 0
\text {1 and four quarter = } 1 \dfrac{4}{4}
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An old-fashioned bicycle has two differently sized wheels. The circumference of the front wheel is 9 feet larger than the circum
Lady_Fox [76]
So, the bicycle looks like the one in the picture below.

now, the circumference of the smaller wheel, will just be C = 2πr, with a radius of "r".

we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.

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And we know that ground covered, is the same for both, therefore, we also know that   1400(2πr)  =  500(2πr + 9).

\bf \stackrel{small~wheel}{1400(2\pi r)}~~=~~\stackrel{large~wheel}{500(2\pi r+9)}\implies 14(2\pi r)=5(2\pi r+9)
\\\\\\
28\pi r=10\pi r+45\implies 18\pi r=45\implies r=\cfrac{45}{18\pi }
\\\\\\
\boxed{r=\cfrac{5}{2\pi }}

so, how much ground did they cover anyway?

well, we could use either, since we know what the radius is, hmmmm let's use say the small wheel's circumference,

\bf 1400(2\pi r)\implies 1400\left(\underline{2\pi }\cdot \cfrac{5}{\underline{2\pi }}  \right)\implies 1400(5)\implies \stackrel{feet}{7000}

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