Step-by-step explanation:
Part A
A) The denominator is 665, so this is a terminating decimal.
B) 11/99 = 1/9 = 0.1111...
C) 256/999 = 0.256256256...
D) 25/909 = 275/9999 = 0.027502750275...
B has 1 repeating digit, C has 3 repeating digits, and D has 4 repeating digits. So the correct answer is C.
Part B
A decimal that can be written as a ratio of integers is a rational number.
Answer:
10.35 am
Step-by-step explanation:
Find the LCM
LCM = 275 minutes ÷ 60 minutes to change into hours
= 4hrs 35 min
6.00am + 4hrs 35min
= 10.35 am
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y = 1 ⇒ <u>10x - 5y = 5</u>
y = -17
5x - 2(-17) = -6
5x + 34 = -6
<u> - 34 - 34</u>
<u>5x</u> = <u>-40</u>
5 5
x = -8
(x, y) = (-8, -17)
2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y = 16 ⇒ <u>10x + 4y = 32</u>
<u>11y</u> = <u>2128</u>
11 11
y = 193.4545455
2x + 3(193.4545455) = 432
2x + 580.3636364 = 432
<u> - 580.3636364 - 580.3636364</u>
<u>2x</u> = <u>-148.3636364</u>
2 2
x = -74.1818182
(x, y) = (-74.1818184, 193.4545455)
Answer:
1. {-1 , 0, 1 }
Step-by-step explanation:
The range is the set of the second values in the ordered pairs.
Answer:
Step-by-step explanation:
Given:
The given inequality is.
Solution:
Simplify the given expression.
Multiply by x both side of the equation.
Simplify.
Rewrite the equation as.
Therefore, is the simplest form of the given expression.
