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sergiy2304 [10]
3 years ago
7

Team awesome starts hiking up from base camp which is located at 4400 feet at a steady rate of 600 feet/hour. at the same time,

team cool, which has hiked up earlier, leaves the top of the peak at 8900 feet and starts hiking down at a steady rate of 900 feet/hour. after how many hours do the two teams pass each other? I'd like to learn how to set up this equation to solve it! Thanks
Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0
The LCM is
600. 900
1200. 1800
1800. 2700
2400. (3600)
3000. 4500
(3600.). 5400
4200. 6300
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Hzjwnsjwnziqnnsjansnsjans
natima [27]

Answer:

Step-by-step explanation:

Slope of line passing through (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

From the graph attached,

Slope of the line passing through (-3, 0) and (0, 5) = \frac{5-0}{-3-0}

                                                                                    = -\frac{5}{3}

Line passing through a point (h, k) and slope 'm' will be,

y - h = m(x - k)

Since, line passing through (11, 0) is parallel to the line given in the graph,

Slope of the parallel line will be same as -\frac{5}{3}

Equation of a line passing through (11, 0) and slope = -\frac{5}{3}

y - 0 = -\frac{5}{3}(x-11)

y = -\frac{5}{3}(x-11)

Now satisfy this equation with the points given in the options,

Option (1)

For (1.67, -15.59),

-15.59 = -\frac{5}{3}(1.67-11)

-15.59 = -15.55

False.

Therefore, given point doesn't lie on the line.

Option (2)

For (-0.33, -13.59)

-13.59 = -\frac{5}{3}(-0.33-11)

-13.59 = -18.88

False

Option (3)

For (0.67, -18.59),

-18.59 = -\frac{5}{3}(0.67-11)

-18.59 = 17.22

False

Option (4)

For (1.67, -15.59)

-15.59 = -\frac{5}{3}(1.67-11)

-15.59 = -15.55

False.

Therefore, none of the points given in the options are lying on the line.

7 0
3 years ago
You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who ow
Nadya [2.5K]

Answer:

Test statistic =1.30

Step-by-step explanation:

Given that you are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats.

                                             Men                Women            Difference

Sample size n                        60                     120

Proportion p_1, p_2              0.45                   0.35                 0.10

60 120 180

0.45 0.35 0.383333333

27 42 69

p = 0.3833

Std error for proportion difference = \bar p (1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})\\=0.3833(0.6167)(\frac{1}{60}+\frac{1}{120})\\=0.0769

Test statistic = \frac{p_1-p_2}{\bar p (1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})  }

=1.3008

=1.30

4 0
3 years ago
In Bluepoint, the average low temperature for January was 40 °F. The average low in February was 27% lower. What was the average
yarga [219]

The average low temperature for January was 40 °F - 100%.

The average low in February was x °F - 27% lower, that is 100%-27%=73%.

Write a proportion:

\dfrac{40}{x}=\dfrac{100}{73},\\ \\x=\dfrac{73\cdot 40}{100},\\\\x=29.2

Answer: the average low in February was 29.2 °F.

5 0
3 years ago
The New York Knicks played the Brooklyn Nets at Madison Square Garden. There were 16,684 fans in attendance. If 63% of the fans
oksian1 [2.3K]
Answer: 10511


The reason being you need to convert 63% to a decimal which would be 0.63

Then you would multiply 0.63 * 16684


And then you would get 10510.92 but you would up because you cannot have .9 of a fan
6 0
4 years ago
What is the measure of angle F? <br><br> A. 75<br> B. 65<br> C. 55<br> D. cannot be determined
tresset_1 [31]

twin sides stemming from a common vertex, make twin angles, since the HG = HF, then ∡G = ∡F.

4 0
3 years ago
Read 2 more answers
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