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Vsevolod [243]
2 years ago
13

Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back

downstream with the current. His campsite destination is 5.2 miles upstream. Determine how fast Aro can paddle and how fast the river water is moving. Round to the nearest hundredth as needed. Upstream: Downstream: Let x be the speed of Aro’s paddling and let y be the speed of the river. Upstream: 1.04 = x – y Downstream: 2.08 = x + y Aro can paddle at a speed of miles per hour. The river’s speed is miles per hour.
Mathematics
2 answers:
eduard2 years ago
4 0

Answer:

Upstream

5.2=(x-y)5

Downstream

5.2=(x+y)2.5

Step-by-step explanation:

gavmur [86]2 years ago
4 0

Answer: Aro can paddle at a speed of 1.56 miles per hour. The river’s speed is 0.52 miles per hour.

hope this helps (:

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Briana bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85. Logan bought 2 bottles of ketchup and 5 bottles of m
zheka24 [161]
<h2>Answer:</h2><h2>The cost of ketchup bottle, x = 2.89</h2><h2>The cost of mustard bottle, y = 1.59</h2>

Step-by-step explanation:

Let the ketchup be represented as x and mustard as y

Briana  bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85

3x + 2y = 11.85 ...(1)

Logan bought 2 bottles of ketchup and 5 bottles of mustard for $13.73.

2x + 5y = 13.73 ...(2)

Multiplying eq (1) by 2, we get

6x + 4y = 23.7 ...(3)

Multiplying eq (2) by 3, we get

6x + 15y = 41.19 ...(4)

Subtracting eq (3) from (4),

we get 11y = 17.49

y = 1.59, substitute it in eq(1), we get

x = 2.89

Therefore, the cost of ketchup bottle, x = 2.89

The cost of mustard bottle, y = 1.59

3 0
2 years ago
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Z
Savatey [412]

Complete question is;

Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far

she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.

Let a represent the number of hours that have elapsed since Zac started traveling. Let y represent the number of miles traveled. Write a system of linear equations that represents the distance each of them has traveled since Zac left on his trip.

Assume Zac and Lynn continue to travel at the same constant rates and make no stops.

Determine the solution of the system of linear equations.

Answer:

Zac: y = 55a

Lynn: y = 60(a - ½)

6 hours after Zac started traveling, both Zac and Lynn would have covered 330 miles each.

Step-by-step explanation:

Zac has traveled 123.75 miles in 2.25 hours. Since he travels at constant speed, we can say;

zac's speed = 123.75/2.25 = 55 mi/hr

Similarly, Lynn traveled 105 miles in 1.75 hours. Thus, since she travels at a constant speed;

Lynn's speed = 105/1.75 = 60 mi/hr

Now, we are told that a represents the number of hours that have elapsed since Zac started traveling and y represents the number of miles traveled.

Thus;

a hours after Zac started travelling, his distance covered will be;

Zac: y = 55a

Now,for Lynn, since she started ½ an hour after Zac, it means a hours after Zac started, she had traveled (a - ½) hours.

Thus, Lynn's distance traveled after Zac started = 60(a - ½)

Lynn: y = 60(a - ½)

The solution will be when they have travelled equal distances a hours after Zac started. Thus;

55a = 60(a - ½)

55a = 60a - 30

60a - 55a = 30

5a = 30

a = 30/5

a = 6 hours

Putting 6 for a in y = 55a, we have;

y = 55 × 6

y = 330 miles

5 0
2 years ago
Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is
ANTONII [103]

Answer:

No, because they are parallel.

Step-by-step explanation:

The lines p and m will not intersect, so Kevin is not correct.

It is given that planes A and B intersects. The plane A contains the line p, m and n on its plane. The lines p and m are parallel to each other. They are identical and move in the same direction.

Since the line p and m are parallel, they will not meet each other at any point because parallel lines does not intersect or meet at a point, they run parallelly along each other.

So, line p and m will not intersect.

Thus the answer is " No, because they are parallel."

8 0
2 years ago
The parent cosecant function is shifted 4 units right and 3 units up. Which of the following is the graph of the transformed fun
snow_lady [41]
We have that

 using a graph tool--------------> graph the <span> cosecant function
</span>see the attached figure

the answer is the option B

4 0
2 years ago
Read 2 more answers
Find the percent of change from 2008 to 2012. Round to the nearest tenth of a percent. Is it an increase or decrease?
uranmaximum [27]
2012-2008=4\\\\&#10;\frac{4}{2008}*100\%=\frac{400}{2008}\%=0.2\%\\\\&#10;Percent\ of\ change\ is\ 0.2\%\ and\ it\ is\ increase.
8 0
2 years ago
Read 2 more answers
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