NEED HELP ASAP AND PLEASE EXPLAIN

The sum of the series below is 10,900. how many numbers, n, are in the series? 19 20.5 22 23.5 ... 181

JulsSmile [24]

There are 109 terms in given series.

According to the statement

we have given that the sum of series is AP series and

This is 19 20.5 22 23.5 ... 181

And the sum of series is 10,900

Now, we have to find the number of terms in the series.

Then we use the summation formula which is

S = n/2 (a + L)

Substitute the all given values in it like

L = 181

A = 19 and S= 10,900

then

10,900= n/2(19+181)

10,900= n/2(200)

After solve the equation for n

10,900= 100n

n = 10,900 / 100

n = 109

There are 109 terms in given series.

So, There are 109 terms in given series.

Learn more about SERIES here brainly.com/question/6561461

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3 0

2 years ago

5000 people went to vote. Candidate Smith claimed 52% of the votes. Candidate Adams claimed 2681 votes. What percentage does can

boyakko [2]

The percentage of votes claimed by Adam is 53.62 %

Solution:

Given that, 5000 people went to vote

Candidate Smith claimed 52% of the votes. Candidate Adams claimed 2681 votes

To find: Percentage claimed by Adam

From given,

Total number of votes = 5000

Votes claimed by Adam = 2681

The formula used is:

$Percentage\ claimed\ by\ Adam = \frac{\text{votes claimed by adam}}{\text{Total number of votes}} \times 100$

Substituting the values we get,

$Percentage\ claimed\ by\ Adam = \frac{2681}{5000} \times 100\\\\Percentage\ claimed\ by\ Adam = 0.5362 \times 100\\\\Percentage\ claimed\ by\ Adam = 53.62$

Thus percentage of votes claimed by Adam is 53.62 %

3 0

3 years ago

Maria just got a raise at work. She was making $9 per hour, but now she makes 150% of that amount.

Stolb23 [73]

Answer:

13.50

Step-by-step explanation:

150. x

___ ___ x = $13.50 per hour

100. 9

5 0

3 years ago

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@bobross plz help I have another question

enot [183]

Answer:

Average velocity is 32 miles/hr.

Step-by-step explanation:

Given that a particle moves on a line away from its initial position so that after t hours it is $s=6t^2+2t$ miles from its initial position.

We have to find the average velocity of the particle over the interval [1, 4].

As, average velocity is the change is position over the change in time.

$s(4)=6(4)^2+2(4)=104$

$s(1)=6(1)^2+2(1)=8$

∴ $\text{Average Velocity=}\frac{s(4)-s(1)}{4-1}$

= $\frac{104-8}{3}=\frac{96}{3}=32miles/hr$

Hence, average velocity is 32 miles/hr.

6 0

3 years ago

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A bag has 4 Hershey's bars, 5 Twix, 7 Reese's bars, and 9 Milky Way bars.

Ludmilka [50]

Step-by-step explanation:

Total bars = 4 + 5 + 7 + 9 = 25

Probability of Reese bar = 7/25

Probability of milky way = 9/25

6 0

2 years ago

Read 2 more answers