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umka2103 [35]
3 years ago
7

the first row an auditorium has 24 seats. the second row has 28 seats, and the third row has 32 seats. if this patterns continue

s, how many seats are in the 20th row?

Mathematics
2 answers:
ANEK [815]3 years ago
8 0

\bf 24~~,~~\stackrel{24+4}{28}~~,~~\stackrel{28+4}{32}.....\qquad \stackrel{\textit{common difference}}{4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=24\\ d=4\\ n=20 \end{cases} \\\\\\ a_{20}=24+(20-1)4\implies a_{20}=24+76\implies a_{20}=100

brilliants [131]3 years ago
6 0

D the answer (i'm pretty sure) is D

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Please show work and help me pls
Gekata [30.6K]

Answer:

The answer is 207.

Step-by-step explanation:

If you do 1 ÷ 3 you'd get 3. Then move on too the 1 in 3105. 1 ÷ 1 equals 1. You do that with the 0 and the 5 in 3105. The last step too do is is do the same thing with the 5 in 15. Such as, 5 ÷ 3, 5 ÷ 1, 5 ÷ 0, and lastly 5 ÷ 5. Now if you understand just divide the two numbers in 15, which are 1 and 5 to get the quotient in the division problem. Hope this helps, I'm not the greatest at explaining!

7 0
3 years ago
Probability of a standard six side dice landing on a four in the first three rolls?
Illusion [34]

Answer:

91/216

Step-by-step explanation:

The probability of getting a 4 in the first three rolls is 1 minus the probability of not getting a 4 on any of the rolls.

P(at least one 4) = 1 − P(no 4s)

P(at least one 4) = 1 − (5/6)³

P(at least one 4) = 91/216

Alternatively, you can calculate it this way.

The probability of getting a 4 on the first roll is 1/6.

The probability of getting a 4 on the second roll is (5/6) (1/6) = 5/36.

The probability of getting a 4 on the third roll is (5/6) (5/6) (1/6) = 25/216.

The probability of any of the three events is 1/6 + 5/36 + 25/216 = 91/216.

6 0
2 years ago
What is the magnitude of the resultant vector a and b shown below?
denpristay [2]

Answer: SECOND OPTION.

Step-by-step explanation:

It is important to remember that, by definition, the "Resultant vector " is the vector obtained by adding two or more vectors.

 For this exercise you need to use the formula for calculate the magnitude of the resultant vector obtained by adding the vectors "a" and "b" shown in the picture attached:

c=\sqrt{a^2+b^2}

Where "c" is the magnitude of the resultant vector asked in the exercise.

You need to analyze the graph given in the exercise.

You can identify that:

a=4\\\\b=3

Then the next step, knowing which are "a" and "b", is to substitute values into the formula given at the beginning of this explanation, as following:

c=\sqrt{4^2+3^2}

Finally, evaluating, you get that "c" is:

c=\sqrt{16+9}\\\\c=5

4 0
3 years ago
zane and shelby's grandfather is 5 times as old as the total of their ages. If their grandfather is 70 and Shelby is 6, how many
wel
G=5(z+s)
70=5(z+6)
70=5z+30
40=5z
z=8

Zane is 8
7 0
3 years ago
What is the result of a division problem
Sonbull [250]
Quotient. A/B=C C is the quotient. 
6 0
3 years ago
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