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Elina [12.6K]
3 years ago
13

A tourist drives 70 miles along a scenic highway and then takes a 7-mile walk along a hiking trail. The average velocity driving

is 7 times that while hiking. Express the total time for driving and hiking, T, as a function of the average velocity on the hike, x.
Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer: T=\frac{17}{x}

Step-by-step explanation:

The formula we need to use is:

time=\frac{distance}{velocity}

We know that "T" is the total time for driving and hiking and "x" is the average velocity on the hike.

Knowing that the tourist drives 70 miles along the scenic highway and walk 7-mile walk along the hiking trail, and also knowing that the average velocity driving is 7 times that while hiking, we can conclude that  the total time is:

T=\frac{70}{7x}+\frac{7}{x}

Finally, simplifying the equation, we get that  the total time for driving and hiking as a function of the average velocity on the hike, is:

T=\frac{10}{x}+\frac{7}{x}\\\\T=\frac{10+7}{x} \\\\T=\frac{17}{x}

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You want the minimum of the solutions to
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4 0
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Solve and explain. Sue orders pictures from her photographer. Each picture costs $8. A one-time shipping fee of $7 is added to t
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3 pictures

Step-by-step explanation:

Please see the attached pictures for the full solution.

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3 years ago
amy is going to put 6 triangular tables together to make one large hexagon shaped table. what will be the area of the hexagon ta
tresset_1 [31]

Answer:

The area of the hexagonal table will be 27 square feet

Step-by-step explanation:

Given:

The height of the triangle = 3 feet

The base of the triangle = 3 feet

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Solution:

<u>Step 1: Finding the area of the triangle</u>

The area of the triangle  =\frac{1}{2} \times base \times height

On substituting the values

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The area of the hexagonal table  = 6 \times \frac{9}{2}

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3 0
3 years ago
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A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34
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Answer:

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The right triangle formula: c^2 = a^2 + b^2

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