Answer:
A) 5x = y
B)
Step-by-step explanation:
A is 5x = y because there are 5 pink hearts per the number of boxes (x) bought.
B uses the equation 2x is less than or equal to 100 because the teacher is spending 2 dollars per kid and can spend a maximum of 100.
The graph for this is attached.
Answer:
8) Real; Rational
9) Real; Rational; Integer; Whole; Natural
10) Real; Rational
Step-by-step explanation:
Real numbers consists of the subsets:
Irrational Numbers:
Irrational numbers is the subset complementary to rational numbers. It includes numbers such as √(2) or π. These numbers do not repeat nor terminate.
Rational Numbers:
Rational numbers are all the others. They include the integers as well as the repeating and terminating decimals.
Integers:
Integers include the entire set of whole numbers and the negative numbers. This subset does not include decimals nor fractions. Thus, the integers are: ...-3, -2, -1, 0, 1, 2, 3... etc.
Whole Numbers:
Whole numbers is the set of natural numbers that <em>includes</em> 0. So, whole numbers are: 0, 1, 2, 3... and so on.
Natural Numbers:
Natural numbers or the counting numbers are all the positive, non-decimal numbers. These are 1, 2, 3... and so on. This set does not include 0.
8)
The given number is not natural, whole, nor an integer because it is a decimal. It repeats, so it belongs to the rational numbers subset.
9)
The square root of 4 is simply 2. 2 is a natural number. Because of this, this means that 2 is also a whole number, integer, and a rational number.
10)
The given number is a fraction and it does not reduce to a whole number, so it's not a natural number, whole number, nor an integer. It does terminate, so it belongs to the rational numbers subset.
Step-by-step explanation:
We have,
First terms of geometric sequence, a = 0.3
Common ratio, r = 3
It is required to find the 12th term of a GP. The formula of the nth term is given by :
Here, n =12
So,
or
So, the 12th term of the GP is 53144.