MATHEMATICS HIGH SCHOOL

The sum of three consecutive even numbers is 450. What is the 3rd number?​

Answers

Answer 1
Answer:

The three consecutive integers that add up to 450 are 149, 150, and 151.

What are the consecutive numbers?

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of three consecutive even numbers is 450

We need to find the 3rd number of the integers.

Now assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 450

Combine the like terms;

3x+3=  450

X=149

Thus the second number is 149 + 1 and the third number is 149 + 2.

Hence, the 3rd number of the integers would be 151.

Learn more about the consecutive whole numbers;

brainly.com/question/24912446

#SPJ2
Answer 2
Answer:

Step-by-step explanation:

Which means that the first number is 149, the second number is 149 + 1 and the third number is 149 + 2. Therefore, three consecutive integers that add up to 450 are 149, 150, and 151. We know our answer is correct because 149 + 150 + 151 equals 450 as displayed above.

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the area of a pentagon increased by 27 is the same as four times the difference of area and 15. what is the area of the pentagon?

Answers

this can be written as:
a+27=4(15-a)
now to work it out
a+27=4(15-a)
a+27=60-4a
4a+27=60
4a=33
a=8.25

hope this helps :)

Brandon buys a radio for 43.99 in a state where the sales tax is 7%

Answers

So then this is a simple multiplication problem. First, we need to make the percentage a decimal. To do that, we find out how many parts out of 100 it is. In this case it 7 parts, so we're making it the decimal .07. So the problem becomes 43.99x0.07. We multiply that, and come up with 3.0793. We'll round that to the hundredths place, and come up with 3.08. So on a radio that costs $43.99, you will pay $3.08 tax, bringing the total to $47.07.
43.99
Convert to a decimal. x .07
¯¯¯¯¯¯¯¯
3.0793
Add + 43.99
¯¯¯¯¯¯¯¯¯
47.0693
Round out. $47.07 is your answer

A= 13+26+39+...+169What is the sum of the prime numbers that can divide A ?


A)16 B)18 C)20 D)22 E)24

Answers

A= 13+26+39+...+169=

= 13(1+2+3+....+13)=

=13* (13*14)/2=

=13*13*7

=> 13+7=20

So the answer is c)

Can y’all help me here ?

Answers

Answer:

109

Step-by-step explanation:

3^2=9   -10^2=100

Simplify in picture below

Answers

Answer:

11

Step-by-step explanation:

Use PEMDAS
11 make sure you use pemdas

Can someone please solve, explain and show all the work to solve this geometry question? I added a picture of it because there are no words. Thanks! I will brainlist the person who answers this correctly.

Answers

Answer:

x = 109 degrees.

Step-by-step explanation:

The angle opposite the 45 degrees = 45 degrees (vertical angles)

Also the angle opposite to the 75 degree angle = 75 degrees for the same reason.

Now if we take the triangle on the left. the bottom right angle

180 - 75 - 45 = 60 degrees ( because the angles in a triangle sum to 189 degrees.

Next  we find the left bottom angle of the triangle on the right.

This is 180 - 60 - 79 = 41 degrees (because these 3 angles are on the same straight line).

Finally x = 41 + 68 = 109 degrees ( external angle of a triangle theorem).
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