Answer:
First step: Combined like terms on left side
Second step: Combined like terms on both sides
Third step: Simplified y multiplying both sides by 2/5
Answer:
Rational number
Step-by-step explanation:
Any number that can be written as a ratio of two integers is a rational number.
In the question, you have the keyword 'ratio', meaning a comparison between two numbers. For example 1.5 can be expressed as the ratio between 3 and 2 (3/2), as a fraction.
<u>When a number cannot be expressed as a fraction, it's called an irrational </u>number. <u> The most famous irrational number of all would be pi (π). </u> You cannot express pi in a ratio between numbers, because it's too complicated, it's basically an infinite number without any periodicity.
Answer:
530.66
Step-by-step explanation:
The way we find the area of the circle we use the radius of the circle for this one it's 13cm squared * pi or 3.14
For this circle we do 3.14 * 13^2
First we have to square 13: 13^2 = 169
Then we multiply 169 by 3.14: 3.14 * 169 = 530.66
Then we do to the nearest hundredth which is the same as the previous answer: 530.66
Answer:
The four consecutive odd integers = 15, 17, 19, 21
Step-by-step explanation:
Four consecutive odd integers in Mathematics when x is an integer is given as:
x , x + 2 , x + 4, x + 6
Where:.
First integer = x
Second integer = x + 2
Third integer = x + 4
Fourth integer = x + 6
The sum of the first and fourth is 55 greater than the opposite of the third
Hence :
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First integer = x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21