I NEED THIS IN FIVE MINUTES.

The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence

vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0

2 years ago

It is believed that the best angle to fly a kite is 30 degrees. If you fly a kite at this angle and let out 200 feet of string,

poizon [28]

Answer:

200 feet of the ground at a thirty degrees angle does not make a difference .

u need to know whether it is the top or bottom of it, the kite

6 0

2 years ago

Given a scalene triangle with whole number angle measurements, what is the greatest sum possible of the two smallest angles?

Olegator [25]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define scalene triangle

A Scalene Triangle is any triangle with unequal sides. This means that, in a scalene triangle, all of the three sides and angles are different lengths, just like in the illustration below. This also means that each angle has to be different.

STEP 2: Get the greatest sum possible of the two smallest angles

Since the measures of the angles of the triangle are different whole numbers , for the sum of the two angles to be the least possible, one of the angles must be smallest whole number i.e 1°

Now, the next smallest angle will be the next angle of a whole number that is not 1 degree, i.e, 2 degrees.

Thus, the greatest possible sum of the measures of two smallest angles will be:

$1^{\circ}+2^{\circ}=3^{\circ}$

Hence, the greatest sum possible of the two smallest angles is 3 degrees

7 0

11 months ago

What is the prime factorization of 2,800

11111nata11111 [884]

$2800|2\\1400|2\\.\ 700|2\\.\ 350|2\\.\ 175|5\\.\ \ 35|5\\.\ \ \ 7|7\\.\ \ \ 1|\\\\\boxed{2800=2\times2\times2\times2\times5\times5\times7=2^4\times5^2\times7}$

4 0

2 years ago

Read 2 more answers

Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?

evablogger [386]

4.902 written in expanded form is A

3 0

2 years ago

Read 2 more answers