Answer:
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Since 20 is a factor of 40, the least common denominator of 3/20 and 9/40 is 40.
Answer:
<u>2/5 < 5/8 < 6/7 < 1 </u>
<u>OR</u>
<u>1 > 6/7 > 5/8 > 2/5</u>
Step-by-step explanation:
It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1
Two-fifths = 2/5
Six-sevenths = 6/7
Five-eighths = 5/8
So, the given numbers are: 2/5, 6/7, 5/8, and 1
We need to make the numbers in order from the least to the greatest or from the greatest to the least
The easy method is convert the rational numbers to decimal numbers
So,
2/5 = 0.4
6/7 ≈ 0.857
5/8 = 0.625
1 = 1
So, the numbers form the least to the greatest are:
0.4 , 0.625 , 0.857 , 1
So,
2/5 , 5/8 , 6/7 , 1
The inequality correctly compares the numbers are:
<u>2/5 < 5/8 < 6/7 < 1</u>
Or can be written from the greatest to the least as:
<u>1 > 6/7 > 5/8 > 2/5 </u>
Answer:
1, 2, 4
Step-by-step explanation:
- 4 1/12·2 2/3 = 49/12·11/4 = 49/12·33/12 = 1617/144 = 11 11/48 Good
- 2 1/5·6 1/4 = 11/5·25/4 = 44/20·125/20 = 5500/400 = 13 3/4 Good
- 1 1/2·3 1/5 = 3/2·16/5 = 15/10·32/10 = 480/100 = 4.8 Doesn't Work
- 3/4·8 1/5 = 3/4·41/5 = 15/20·164/20 = 2460/400 = 6 3/20 Good
- 5 1/2·5 = 11/2·5 = 55/2 = 27 1/2 Doesn't Work
(Note: Division of big numbers should be done by simplification, although not shown here.)
Answer:
Value of the car is decreasing by 13.9% each year.
Step-by-step explanation:
This equation tells us V(t) is the value of the car after a certain time in years, $21,000 is the initial value of the car. What we need to focus on is on the 0.861 part of this equation. This means that the price of the car is worth 0.861 or 86.1% of what it was worth the year prior, this means that the price of the car is decreasing over time. By how much is it decreasing? Well if we consider 1 to mean 100% (since 100 / 100 =1) then we have 100%-86.1%=13.9%. This means that the value of the car is decreasing 13.9% each year.
