What is the least common denominator for the fractions 9/14 and 2/21
Answers
9/14=27/42
2/21=4/42
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4 hours of
loading/unloading
7 hours of
loading/unloading
Answers
The hourly rates of loading/unloading = $100
The hourly rates of packing/unpacking = $90
Step-by-step explanation:
Here, the given table is MISSING.
The correct table for reference is attached.
Now, let us assume the hourly rates of loading/unloading = $ m
Assume the hourly rates of packing/unpacking = $ n
As given in the table:
3 hours of loading/unloading + 2 hours of packing/unpacking costs = $480
⇒ 3 m + 2 n = 480
⇒ 2 n = 480 - 3 m .... (1)
5 hours of loading/unloading + 2 hours of packing/unpacking costs = $680
⇒ 5 m + 2 n = 680
⇒ 2 n = 680 - 5 m .... (2)
Now, solving for the values of m and n, we get:
480 - 3 m = 680 - 5 m
⇒ 5 m - 3 m = 680 - 480
⇒ 2 m = 200
or, m = 100
Now, 2 n = 680 - 5 m = 680 - 5 (100) = 180
⇒ n = 90
Hence, the hourly rates of loading/unloading = $ m = $100
The hourly rates of packing/unpacking = $ n = $90
Answers
To convert a fraction to decimal you simply have to divide.
7 ÷ 8 = 0.875
Answers
e.g. 3 = 3/1
And then it works like normal multiplication
3/1 x 3/4 = (3 x 3) / (1 x 4)
= 9/4
= 2 and 1/4
Also for future reference, normally * (the asterix, shift + 8) is used to show multiplication on a computer, because "x" is normally used in algebra to mean something else.
hydrogen in moles per liter. If the pH of
Bill's swimming pool is 7.8 and the pH of
Maura's swimming pool is 7.2, whose
pool has a greater concentration of
hydrogen? How many times greater is it?
Answers
Answer:
- Maura's
- 4 times
Step-by-step explanation:
The logarithm function is monotonic with a positive slope everywhere. So, the logs of numbers are in the same order as the numbers themselves. pH is the negative of the logarithm, so the pH values are in the reverse order of the numbers themselves.
Maura's pool has a lower pH, so will have a higher concentration of hydrogen ions.
The log of a ratio is the difference of the logs. Here, the difference of the logs is 7.8 -7.2 = 0.6, so the ratio of H+ concentrations in the two pools is ...
10^0.6 ≈ 4.0
Maura's pool has 4× the H+ concentration of Bill's pool.
Answers
Divide 40 by 8 = 5
Times 1 by 5 = 5 then 2 by 5 = 10 then 5 by 5 = 25
Answer: 5:10:25
Answers
The factors of 16 are 1, 2, 4, 8, and 16 .
The factors of 9 are 1, 3, and 9 .
Answer: The factors of 9 are: 1, 3, and 9. The factors of 16 are: 1, 2, 4, 8, and 16.
Step-by-step explanation: 1, 3, and 9 can divide evenly into 9. 1, 2, 4, 8, and 16 can divide evenly into 16.