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Juliette [100K]
2 years ago
12

A lake is 200 ft wide.Two boats start to move towards one another from opposite shores.In one minute the first boat goes 40 ft a

nd the second one goes 30 ft.What would be the distance between the boats after one minute?What would be the distance between the boats two minutes after they began to move?
Mathematics
1 answer:
ddd [48]2 years ago
7 0

Answer:

After one second, 130 ft

After two second , 60 ft

Step-by-step explanation:

Both boats are moving towards each other,

Speed of first boat = 40 ft/min.

Speed of second boat = 30 ft/min.

So, In one Second they must have covered a total distance of 40 + 30 ft

                                                                                                        = 70 ft.

Total width of the lake = 200 ft

So, Distance remained between them after one second = 200 - 70 = 130 ft.

After two seconds , First boat will move my 80 ft and second one will move by 60 ft

So, distance between them will decrease by 140 ft.

Distance between the boats after two seconds = 60 ft.

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Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

a_n=a_1+(n-1)d

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

a_7=a_1+(7-1)d

40=a_1+6d

a_1+6d=40

a18 = 106

a_1_8=a_1+(18-1)d

a_1+17d=106

we can subtract both equations

a_1+17d-a_1-6d=106-40

11d=66

d=6

now, we can find a1

a_1+6d=40

we can plug d=6

a_1+6*6=40

a_1=4

12th term:

a_1_2=a_1+(12-1)d

now, we can plug values

a_1_2=4+(12-1)*6

a_1_2=4+66

a_1_2=70

so, 12th term is 70...........Answer

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Step-by-step explanation:

For this problem we want to find the following expressionÑ

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