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3 years ago

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Mathematics

1 answer:

Montano1993 [528]3 years ago

6 0

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Please help me!!!!!!!

noname [10]

Answer:

D) 5 miles to 1 hour.

Step-by-step explanation:

If each small box is 1 mile you can count the boxes to line up with the 1 hour graph. Hence, 5 boxes to 1 hour box equals 5 miles to the hour.

7 0

3 years ago

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20 of the 80 coffee mugs at Carson's Pancake House are dirty. What percentage of the coffee mugs at the pancake house are dirty?

Dennis_Churaev [7]

Answer:

25%

Step-by-step explanation:

20/80 in can be reduced to 1/4 and 1/4 equals 25%.

3 0

3 years ago

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Tessa is training for a marathon she runs 13 km a day for 3 days

creativ13 [48]

nice

i think there's supposed to be more to the problem lol

4 0

3 years ago

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Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

4 0

3 years ago

How many committes of 3 people can be formed from 7 people order does not matter?

Phoenix [80]

You can form 2 and then you have the odd one out.

5 0

3 years ago