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BabaBlast [244]
2 years ago
9

Pam and Tina went for a 12 mile hike (round trip) to the top of a mountain. It took 5 hours. They were able to hike 1 mile per h

our faster on the way down. How fast did they hike going up the mountain
Mathematics
1 answer:
snow_tiger [21]2 years ago
6 0

Answer:

  2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

If s is the speed going up the mountain, then s+1 is the speed coming down. The total trip time for 6 miles up and 6 miles down is ...

  6/s +6/(s+1) = 5

  6(s+1) +6s = 5(s)(s+1)

  5s^2 -7x -6 = 0 . . . . subtract the left side, simplify to standard form

  (s -2)(5s +3) = 0 . . . . factor

  s = 2 or -3/5 . . . . values that make the factors 0

Their speed was 2 miles per hour going up the mountain.

__

<em>Check</em>

It took 6/2 = 3 hours to go up the mountain, and 6/(2+1) = 2 hours to come down, for a total of 5 hours.

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Janet spent $45 in all
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if i tossed a coin two times and the results are heads and heads. What is the probability in fraction form?
shutvik [7]

Answer:

Hshhsbsbzbzbxbdbdbddns

4 0
2 years ago
Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 4, and b = 10.
sweet [91]

Answer:

None

Step-by-step explanation:

We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.

According to the 'Law of Sines- Ambiguous Case', we have,

If a < b×sinA, then no triangle is possible.

If a = b×sinA, only one triangle is possible

If a > b×sinA, two triangles are possible.

So, we have,

b×sinA = 10 × sin30 = 10 × 0.5 = 5.

Now, as

4 = a < bsinA = 5.

We get, according to the rule, no triangle is possible.

4 0
2 years ago
Read 2 more answers
If a number added to five is divided by the difference of the number and two, the result is three-fourths. Find the number.
alexandr1967 [171]

Answer:

x = - 26

Step-by-step explanation:

Let the number be x.

According to the question,

\frac{x+5}{x-2} = \frac{3}{4}\\

Cross multiplying 4 & 3 gives :-

4(x+5)=3(x-2)

And solving this eqn. gives :-

4(x+5)=3(x-2)\\=> 4x+20=3x-6\\=>4x-3x=-20-6\\=>x=-26

Verification :-

(putting the value of x = -26 )

\frac{x+5}{x-2} \\\\=>\frac{-26+5}{-26-2} \\\\=> \frac{-21}{-28} \\\\=>\frac{21}{28}

Reducing  \frac{21}{28}  by 7 gives  \frac{3}{4} .

5 0
3 years ago
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute
fredd [130]

Answer:

0.0322; 0.9929

Step-by-step explanation:

Since the data is normally distributed, we use z scores for these probabilities.

The formula for a z score of a sample mean is

z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}

For the sample of mildly obese people, the mean, μ, is 371; the standard deviation, σ, is 65; and the sample size, n, is 6.

Using 420 for X,

z = (420-371)/(65÷√6) = 49/(65÷2.4495) = 49/26.5360 ≈ 1.85

Using a z table, we see that the area under the curve to the left of this is 0.9678.  However, we want the area to the right, so we subtract from 1:

1-0.9678 = 0.0322

For the sample of lean people, the mean, μ, is 528; the standard deviation, σ, is 108; the sample size, n, is 6.

Using 420 for X, we have

z = (420-528)/(108÷√6) = -108/(108÷2.4495) = -108/44.0906 ≈ -2.45

Using a z table, we see that the area under the curve to the left of this is 0.0071.  We want the area under the curve to the right, so we subtract from 1:

1-0.0071 = 0.9929

7 0
2 years ago
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