Answer:3/15
Step-by-step explanation: multiply 3/5*1/3 first 3*1 then 5*3 then you're DONE!!!!!!!!
Answer:
Step-by-step explanation:
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?
Answer:
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.
The average is the sum of the observations divided by the count.
So the sum of the observations is the count times the average.
So the 9 teachers together make 9(1000)=$9000 per week. The 20 staff (9 teachers + 11 aps) makes 20(1275)=25500.
So the 11 aps must make 25500-9000=16500
So the mean ap salary is 16500/11 =$1500 per week
Clearly management is where it's at.
Check: (1500*11+1000*9)/20 = 1275 good
Choice B
Answer choices:
1.64 cms
1.8 cms
6.57 cms
7.51 cms
Answer:1.62
Step-by-step explanation:
I'll do the first one to get you started.
We want to compare the two fractions 3/4 and 7/8. For now, let's assume they are equal. Chances are they aren't, but we'll assume they are until we know otherwise.
So we have this equation 3/4 = 7/8
Let's cross multiply to get 3*8 = 4*7. Check out the attached image to see what I mean about "cross multiply" if you're not sure.
The equation 3*8 = 4*7 turns into 24 = 28 after you simplify each side. Clearly both sides aren't the same so the equation is not true. Meaning that the original equation 3/4 = 7/8 is not true. The right side of 24 = 28 is larger, so the right side of 3/4 = 7/8 is larger
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Here's how it looks like listed out
3/4 = 7/8
3*8 = 4*7
24 = 28
The right side is larger, so we must change all the equal signs to less than signs
3/4 < 7/8
3*8 < 4*7
24 < 28
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So that is why 3/4 is less than 7/8
Alternatively, you can use your calculator to find that 3/4 = 0.75 and 7/8 = 0.875; comparing 0.75 and 0.875, we see that 0.875 is larger. Therefore 7/8 is larger.
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