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Lena [83]
3 years ago
6

A motorboat travels 189 kilometers in 3 hours going upstream and 475 kilometers in 5 hours going downstream. What is the rate of

the boat in still water and what is the rate of the current?
Mathematics
1 answer:
kotegsom [21]3 years ago
7 0

Answer:

boat speed 79 kph

stream speed 16kph

Step-by-step explanation:

Let v be the still water velocity

Let s be the stream velocity

3(v - s) = 189

3v - 3s = 189

   v - s = 63

        v = 63 + s

         5(v + s) = 475

         5v + 5s = 475

5(63 + s) + 5s = 475

315 + 5s + 5s = 475

               10s = 160

                  s = 16 km/hr

v = 63 + 16

v = 79 km/hr

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Slot method
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3rd slot, 3 options (1 gone again)
4th slot,2 options (1 less)

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5 0
4 years ago
√44=<br>simply the radicals​
Cloud [144]

Answer:

2√11

Step-by-step explanation:

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6 0
2 years ago
Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)
mina [271]

The result of the log function log_a (m * n ^ 2)  is 60

According to the law of logarithm if log_ab=y then b=a^y

Given the following expressions

log_am=10\\log_an=25

This can be expressed as

m =a^{10} \ and \ n = a^{25}

Substitute the value of m and n into the expression log_a (m * n ^ 2) to have:

log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60

This shows that the result of the log function log_a (m * n ^ 2)  is 60

Learn more here: brainly.com/question/12049968

6 0
2 years ago
PLEASE HELP DUE SOON
Mazyrski [523]

Answer:

A

Step-by-step explanation:

The lines cross or touch the X-Axis 4 times which means that there are 4 solutions.

7 0
3 years ago
Five less than the area of a square is 59 square feet. Find the side length of the square.​
In-s [12.5K]

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

6 0
3 years ago
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