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never [62]
3 years ago
12

A group of hikers walked 2 3/5 miles along a hiking trail. Another group of hikers walked 1/2 that distance with the first group

before turning off onto another trail. How many miles did the two groups of hikers walk with each other?
Mathematics
1 answer:
Digiron [165]3 years ago
5 0

Answer:

Final answer is 1 \frac{3}{10} miles.

Step-by-step explanation:

Given that a group of hikers walked 2 \frac{3}{5} miles along a hiking trail. Another group of hikers walked \frac{1}{2} that distance with the first group before turning off onto another trail. Now we need to fnd about how many miles did the two groups of hikers walk with each other.

To find that we just need to find half of 2 \frac{3}{5}

=\frac{1}{2}\left(2\frac{3}{5}\right)

=\frac{1}{2}\left(\frac{13}{5}\right)

=\frac{1*13}{2*5}

=\frac{13}{10}

=1 \frac{3}{10}

Hence final answer is 1 \frac{3}{10} miles.

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which of the three sets could not be the lengths of the sides of a triangle {6,10,12} {5,7,10} {4,4,9} {2,3,3}
Phoenix [80]

So for this, we will be applying the Triangle Inequality Theorem, which states that the sum of 2 sides must be greater than the third side for it to be a triangle. If any inequality turns out to be false, then the set cannot be a triangle.

A+B>C\\A+C>B\\B+C>A

<h2>First Option: {6, 10, 12}</h2>

Let A = 6, B = 10, and C = 12:

6+10>12\\16>12\ \textsf{true}\\\\6+12>10\\18>10\ \textsf{true}\\\\12+10>6\\22>6\ \textsf{true}

<h2>Second Option: {5, 7, 10}</h2>

Let A = 5, B = 7, and C = 10

5+7>10\\12>10\ \textsf{true}\\\\5+10>7\\15>7\ \textsf{true}\\\\10+7>5\\17>5\ \textsf{true}

<h2>Third Option: {4, 4, 9}</h2>

Let A = 4, B = 4, and C = 9

4+4>9\\8>9\ \textsf{false}\\\\4+9>4\\13>4\ \textsf{true}\\\\4+9>4\\13>4\ \textsf{true}

<h2>Fourth Option: {2, 3, 3}</h2>

Let A = 2, B = 3, and C = 3

2+3>3\\5>3\ \textsf{true}\\\\2+3>3\\5>3\ \textsf{true}\\\\3+3>2\\6>2\ \textsf{true}

<h2>Conclusion:</h2>

Since the third option had an inequality that was false, <u>the third option cannot be a triangle.</u>

5 0
3 years ago
Read 2 more answers
The quotient of the sum of 2t and 2 and twice the cube of s
Vladimir79 [104]

The equation according to the given verbal sentence is \frac{2 t+2}{2 s^{3}} (after solving this \frac{t+1}{s^{3}} ).

<u>Step-by-step explanation:</u>

Rewrite the given verbal sentence and so it will be easier to translate.

Given: The quotient of the sum of 2 t and 2 and twice the cube of s

sum of 2 t and 2 can be written as

       2 t + 2

twice the cube of s

      2 s^{3}

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s  means,

             2 t + 2  divided by 2 s^{3}

Now, the equation would be \frac{2 t+2}{2 s^{3}}

When solving this equation, we get

         \frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}

8 0
3 years ago
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.
HACTEHA [7]
Volume should be 226.08 
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your answer is 226.08
7 0
4 years ago
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Hello, just need the answer for this question. Thank you for your help if you do so.
musickatia [10]

Answer:

In the first one you are missing (x - 3) so it will be 4(x - 3) and if you factor it out it will be 4x - 12

In the second one you are missing a (x -5)which means 9x(x -5) or when you factor it out it will be 9x^2 - 45x

Step-by-step explanation:

3x^2 -23x + 40 = (3x - 8) (x - 5)

3x^2 -17x + 24 = (3x -8) ( x - 3)

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When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution then"it is flatter and wider than the normal distribution."

<h3>What is normal distribution?</h3>

The normal distribution explains a symmetrical plot of data around the mean value, with the standard deviation defining the width of the curve. It is represented graphically as "bell curve."

Some key features regarding the normal distribution are-

  • The normal distribution is officially known as the Gaussian distribution, but the term "normal" was coined after scientific publications in the nineteenth century demonstrated that many natural events emerged to "deviate normally" from the mean.
  • The naturalist Sir Francis Galton popularized the concept of "normal variability" as the "normal curve" in his 1889 work, Natural Inheritance.
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  • In fact, prices generally follow a right-skewed log-normal distribution with fatter tails.

As a result, relying as well heavily on the a bell curve when forecasting these events can yield unreliable results.

To know more about the normal distribution, here

brainly.com/question/23418254

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6 0
1 year ago
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