Answer:
OPTION A
OPTION B
OPTION C
Step-by-step explanation:
Irrational numbers are the subset of real numbers. Their decimal representation neither form a pattern nor terminate.
OPTION A: 
This is equal to 
.
is non-terminating. So, it is an irrational number. Hence, the reciprocal of an irrational number would also be irrational. So, OPTION A is irrational.
OPTION B: 
This is equal to 
. Using the same logic as Option A, we regard OPTION B to be irrational as well.
OPTION C: 
This is equal to 
.
Both 
and 
are irrational. So, the product and the reciprocal of the product is irrational as well. So, OPTION C is an irrational number.
OPTION D: 
16 is a perfect square and is a rational number. 
= 
. This is equal to 0.25, a terminating decimal. So, OPTION D is a rational number.
OPTION E: 
4 is a perfect square as well. 
, a terminating decimal. So, OPTION E is a rational number.
A. Which reduction should she use so the picture fills as much of the frame as possible, without being too large?
Find the scale factor to get rom 7 1/3 inches to 5 1/3 inches:
5 1/3 / 7 1/3 = 0.7272
Now rewrite the fraction as decimals:
2/3 = 0.667
¾ = 0.75
5/9 = 0.555
The closest scale that would still fit the frame would be 2/3 because it is under 0.727.
B. How much extra space is there in the frame when she uses the reduction from Part A?
Multiply the original size by the scale factor to use:
7 1/3 x 2/3 = 4 8/9
Now subtract the scaled size from the original size:
7 1/3 – 4 8/9 = 2 4/9 inches extra
C. If she had a machine that could reduce by any amount, so that she could make the reduced picture fit in the frame exactly, what fraction would the reduction be?
Convert the scale from part A to a fraction:
0.72 = 72/99 which reduces to 8/11
First find 7% of 2,500 which is 175, then you add 175 plus 2,500 and you get 2675. So, Mr. Osmund paid $2,675 for his computer! Hope that helps!
Answer:
c = -3
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
Add 11 to both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
[RevyBreeze]
Answer:
B
Step-by-step explanation:
