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Virty [35]
3 years ago
13

Two cars start driving in the same direction from the same place. If one travels 5050 mph and the other 5959 ​mph, how long will

it take them to be 3636 miles​ apart?
Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

There is a 909 mph gap between the two cars. So if we can divide 3636 by 909 we get 4.


Answer: 4 Hours

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A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th
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<u>Answer-</u>

\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So f(0)=150

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

\Rightarrow f(1)=0.8(150)+10

\Rightarrow f(1)=0.8(f(0))+10     (\because f(0)=150)

Again after one month total number of laptops in the store,

\Rightarrow f(2)=0.8\times (0.8(150)+10)+10

\Rightarrow f(2)=0.8(f(1))+10     (\because f(1)=0.8(150)+10)

Analyzing the pattern, the recursive function f(n) will be,

f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0


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A health club charges $35 a month for membership fees. Determine whether the cost of membership is proportional to the number of
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n200080 [17]

Answer:

  y = 3x +4

Step-by-step explanation:

The equation for the parallel line will have the same x- and y-coefficients, but a different constant. You can put the given point values into the equation to see what the constant needs to be:

  y = 3x + b

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  4 = b . . . . . . . . . . . . subtract 6

The equation of the line is ...

  y = 3x +4

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