The mode of this set of data is 12
Answer:
rational
Step-by-step explanation:
Any number that can be written with a finite number of digits is rational. The given number is rational. (It has 5 digits.)
__
Any repeating decimal is rational.
If this were -9.2222..., it would be -9 2/9 = -83/9, also a rational number.
_____
A number is irrational if it cannot be represented exactly as a decimal or repeating decimal. That is, its decimal fraction part continues forever without repeating.
The answer is: 
The explanation of this exercise is shown below:
1. You have the following expression given in the problem above:
2. By the exponents properties, when you multiply powers with the same base, you must sum the exponents. In this case the base is 
, therefore, you must sum the exponents.
3. The result of the sum is 6, therefore, 
must be 4:
Answer:
Options A, C and D
Step-by-step explanation:
Properties of a rhombus,
1). All sides are equal and it has two parallel sides.
2). Opposite angles of a rhombus are equal.
3). Diagonals are perpendicular bisector.
4). Sum of two adjacent angles is 180°.
By using these properties,
Options A, C and D are the correct options.
Part A: The algebraic equation for the situation is 2x - 3 = 5
Part B: Bob has 4 brand new music CD's
Step-by-step explanation:
Translate the situation into an algebraic equation:
- Ann has 5 brand new music CD’s, which is 3 less than twice the amount that Bob (x) has
- Find the value of x (the number of brand new CD's Bob has)
Part A:
∵ Bob has x brand new CD's
∵ Ann has 5 brand new music CD’s, which is 3 less than twice
the amount that Bob has
- That means multiply x by 2 and then subtract 3 from the product
and equate the answer by 5
∵ Twice x 2x
∵ 3 less than twice x = 2x - 3
∴ 2x - 3 = 5
The algebraic equation for the situation is 2x - 3 = 5
Part B:
Let us solve the equation to find the value of x
∵ 2x - 3 = 5
- Add 3 to both sides
∴ 2x = 8
- Divide both sides by 2
∴ x = 4
Bob has 4 brand new music CD's
Learn more:
You can learn more about the algebraic expressions in brainly.com/question/1600376
#LearnwithBrainly
