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xxTIMURxx [149]
4 years ago
8

Emily rented a bike from matt’s bikes. It cost $16 plus $5 per hour. If Emily paid $46 then she rented the bike for how many hou

rs
Mathematics
2 answers:
Over [174]4 years ago
5 0
16+5x=46
5x=30
x=6

She rented the bike for 6 hours
Lubov Fominskaja [6]4 years ago
3 0
The equation for this situation: y=16+5x
X is the hours Emily rented the bike
Y is the total cost
We know 46 is the total cost, so...
46=16+5x
5x=30
x=6 hours; so the answer is 6 hours
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Answer:

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Step-by-step explanation:

8 0
3 years ago
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
A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance f
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Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

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hence

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x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

6 0
3 years ago
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