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Georgia [21]
3 years ago
10

The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the spee

d of the boat in still water and the speed of the current.
Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

x + y = 20  (equation 2)

Adding both equations, it becomes

2x = 36

x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it becomes

18 - y = 16

y = 18 - 16

y = 2 mph

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While on a road trip, Steve drove 300 miles in 5 hours. After stopping for gas, he drove an additional 120 miles in 2 hours. Doe
lawyer [7]

Answer:

B.   Yes, this is direct variation. Time is the independent variable, and miles driven is the dependent variable.

Step-by-step explanation:

In a direct variation, when the independent variable increase the dependent variable also increases. In this case, the independent variable is the time (time is always independent) and the miles driven by Steve is the dependent variable. This means, the miles driven increase as time pass.

3 0
3 years ago
Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $30 more than seiji.
jok3333 [9.3K]

Answer:

(a) s+g=450\\g=s+30

(b) The graph is shown below.

(c) Seiji earned $ 210 and Gavin earned $ 240.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 450

Gavin earns $ 30 more that that of Seiji.

(a)

So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;

s+g=450\\g=s+30

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, s+g=450, the x intercept is at g=0. So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents s+g=450.

We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents g=s+30.

The graph is shown below.

(c)

From the graph, the point of intersection of the two lines gives the earnings of each of the persons.

The x value of the point of intersection is the earning of Seiji which is $ 210 and the y value is the earning of Gavin which is $ 240 as shown in the graph.

Therefore, Seiji earned $ 210 and Gavin earned $ 240.

3 0
3 years ago
Rita ha decidido emprender un negocio de ventas de productos de protección personal, para lo cual tiene que inventir 1/3 de su d
d1i1m1o1n [39]

Answer:

3/10

Step-by-step explanation:

Subtract the sum of 1/3, 4/15 and 1/10 from 1:

                                 10/30 + 8/30 + 3/30 = 21/30, or 7/10

                                   Then:  1 - 7/10 = 3/10

6 0
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Write 3.11 as a mix number and a improper fraction?
steposvetlana [31]
3 plus 11/10 (mix number, you can get it by simplifying 300/100=3 with 11/100 left over)
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7 0
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