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3 years ago

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Santiago is an election officer. On election day, he travels from his home to the polling place, which is 5.4 miles away. What i

s the distance between Santiago's home and the polling place on a map with a scale of 1 inch : 0.6 miles?

1 answer:

inysia [295]3 years ago

5 0

Answer:

9 inches

Step-by-step explanation:

5.4/0.6=9

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How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago

A biker travels 5 feet in 0.5 seconds. At this exact speed, how far will the biker travel in a minute?

tino4ka555 [31]

600 ft. This is because you travel 10 feet per second and there are 60 seconds in a minute. 10 x 60 =600

7 0

2 years ago

At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this

Agata [3.3K]

Answer:233

Step-by-step explanation:cause i said so

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2 years ago

Read 2 more answers

Complete the following table for residuals for the linear function f(x) = 138.9x − 218.76. (Round to the hundredths place)

OLEGan [10]

<em>Answer:</em>

<h3><em>i believe it is 65 if it isnt then idk</em></h3>

<em>Step-by-step explanation:</em>

6 0

3 years ago

A video club wants to reward its best members with a discount based on the member’s number of movie rentals and the number of ne

ivanzaharov [21]

Answer:

public class MovieRental

{

public static void main(String[] args)

{

Scanner in = new Scanner(System.in);

System.out.print("Enter the number of movie rentals: ");

int movieRentals = in.nextInt();

System.out.print("Enter the number of members referred to the video club: ");

int memberReferral = in.nextInt();

in.close();

double discountVal = Math.min(movieRentals + memberReferral, 75);

System.out.println("The discount is equal to: " + discountVal);

}

}

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2 years ago