This is a fairly easy question. So I'll break it down and give you a description of the terms.
A repeating decimal (like 1/3, 3.333etc is often written as 3.3 with a dot above the second 3 or a ... or an etc) can be anything you chose, 0.7222etc...., 0.3555etc.... Any number which goes on forever. Your choice! A terminating decimal does not go on forever, like 0.25 or 0.43353. It can be as long as you like but it has to end at some point.
Inequalities are just a question, which value is bigger? You use a < or > to show the relationship, x<y means x is smaller than y. Same for y>x.
So just choose two numbers, 0.333... and... let's say, 0.72. 0.72 is larger so we write 0.333...<0.72
Done!
When multiplying with fractions you can multiply the top and the bottom independantly
5*3 = 15
1*4 = 4
so 5 * (3/4) = 15/4
Answer:
36
Step-by-step explanation:
a1 = 4
an=an-1 *3
a2 = a1 *3 = 4*3 = 12
a3 = a2*3 = 12*3 = 36
Rational numbers are Sometimes natural numbers
hope this helps :D
Answer:
diameter of the pizza = 21.88 centimeters
Step-by-step explanation:
Given:
C = d^2 – 2d + 447
where
C = cost of the pizza
d = diameter of the pizza
If the pizza costs $12.00, then what is a reasonable estimate for the diameter of the pizza?
12 = d^2 – 2d + 447
d^2 - 2d = 447 - 12
d^2 - 2d = 435
d^2 - 2d - 435 = 0
Solve the quadratic equation using formula
a = 1
b = -2
c = -435
d = -b +or- √b^2 - 4ac / 2a
= -(-2) +or- √(-2)^2 - (4)(1)(-435) / 2(1)
= 2 +or- √4 - (-1740) / 2
= 2 +or- √4 + 1740 / 2
= 2 +or- √1744 / 2
= 2 +or- 4√109 / 2
= 2/2 +or- 4√109/2
= 1 +or- 2√109
d = 1 + 2√109 or d = 1 - 2√109
= 1 + 2(10.44) or d = 1 - 2(10.44)
= 1 + 20.88 or d = 1 - 20.88
d = 21.88 or -19.88
diameter of the pizza = 21.88 centimeters
Therefore, the estimated diameter of the pizza can not be negative. So, diameter of the pizza = 21.88 cm
