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sukhopar [10]
3 years ago
14

HIGHER ORDER THINKING A cell phone plan is shown on the right. The rates, which include an unlimited data plan, are the same eac

h month for 7 months. The total cost for all 7 months is $180.39. Let m represent the average number of minutes that exceeds 700 minutes each month. A. Write an equation to represent the given situation. B. Solve the equation to determine how many additional minutes, on average, you use each month.
Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer: (a). M=7x180+39+700. (B) $731

Step-by-step explanation:

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sertanlavr [38]

Answer:

Step-by-step explanation:

Chrissie likes to tip a server in a restaurant a minimum of 25% of her lunch bill. She and her friend have a lunch bill that is $13.78. This means that the amount of tip that she would give to the server would be

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What’s the measures of the indicated angles
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Show that n(n+1)(n+2) is divisible by 6<br>Solution<br>(​
vladimir2022 [97]

Proof by induction

Base case:

n=1: 1*2*3=6 is obviously divisible by six.

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For n+1:

(n+1)(n+2)(n+3)=

(n(n+1)(n+2)+3(n+1)(n+2))

We have assumed that n(n+1)(n+2) is divisble by 6.

We now only need to prove that 3(n+1)(n+2) is divisible by 6.

If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.

The "cool" part about this proof.

Since n is a natural number greater than 1 we can say the following:

If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.

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