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Schach [20]
2 years ago
5

Solve the problem. Round as appropriate.

Mathematics
1 answer:
Monica [59]2 years ago
8 0

Answer:

i need the points

Step-by-step explanation:

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A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o
lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

<em>going upstream              </em>

y-x=\frac{150}{5}        

y-x=30 ----> equation A            

<em>going downstream                                  </em>

y+x=\frac{150}{3}                            

y+x=50 ----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40                    

<em>Find the value of x                                </em>

y+x=50                

40+x=50            

x=10          

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

8 0
3 years ago
In one round of a board game, Chrissy scored 43 points. In the next round, she lost 103 point
frosja888 [35]

Answer:

-60

Step-by-step explanation:

43 - 103

4 0
3 years ago
I am not good at algebra so I REALLY NEED HELP WITH THE PROBLEM 8n+4n^2-8n!
NeX [460]

Answer:

4n^2

Step-by-step explanation:

8n+4n^2-8n

The first 8n + the other 8n is 0 because you combine like terms

6 0
3 years ago
Using a number line what is the equivalent fraction to 1/4
AURORKA [14]

Step-by-step explanation:

For example, 1/2 and 2/4 are equivalent fractions. If you simplify 2/4 by dividing both the numerator and denominator by 2, you'll get 1/2, the same as the other one. Remember, our number line is a line with evenly spaced tick marks that show us our numbers.

8 0
3 years ago
A number cube is rolled. What is the probability that the result is a number greater than 4?​
JulijaS [17]

Answer:

1/3

Step-by-step explanation:

Number cube has 6 sides so a number greater than 4 is 5 and 6. Which is 2 times so 2/6 which can simplify to 1/3

5 0
3 years ago
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