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katen-ka-za [31]
3 years ago
7

4 1/2 ounces per 3/4 miles _____ ounces per 1 mile

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
4 0

Answer:

6 ounces

Step-by-step explanation:

Create a proportion where x is the number of ounces per 1 mile:

\frac{4.5}{0.75} = \frac{x}{1}

Cross multiply and solve for x:

4.5 = 0.75x

6 = x

So, the answer is 6 ounces

tia_tia [17]3 years ago
3 0

6 ounces

Step-by-step explanation:

Let the unknown number be x

4 \frac{1}{2}  \:  \: ounces =  \frac{3}{4} \:  \: miles  \\ x = 1 \:  \: mile

Now simply use cross multiplication to solve it

4 \frac{1}{2}  \times 1 =  \frac{3}{4} x \\  \frac{9}{2}  \times 1 =  \frac{3}{4} x \\  \frac{9}{2}  =  \frac{3x}{4}  \\

Now make x as the Subject

\frac{9}{2}  =  \frac{3x}{4}  \\  \frac{9 \times 4}{2 \times 3}  = x \\  \frac{36}{6}  = x \\ 6 = x

So the answer is

6 ounces

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the answer is incomplete, below is the complete question

"Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = 3ti + (1 - 4t)j + (1 + 2t)k r(t(s)) ="

answer

r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k

Step-by-step explanation:

The step by step procedure is to first determine the differentiate the given vector function

r(t) = 3ti + (1 - 4t)j + (1 + 2t)k

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since s(t) is the arc length for r(t), which is define as

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substituting the value of t in to the given vector equation we have

r(t(s)) = \frac{3s}{\sqrt{29} } i + (1 -\frac{4s}{\sqrt{29} }t)j + (1 + \frac{2s}{\sqrt{29} })k

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