1a) so for this problem, I took what they gave you, 637.5 and divided it by .75 and got 850
so .75 * 850 = the gallons, so just take the number of hours and multiply it by 850 to get your gallons
0.25 x 850 = 212.5
1.5 x 850 = 1,275
2.5 x 850 = 2,125
1b) the unit rate is 850
1c) 5.5 x 850 = 4,675 gallons
1d) So 850 gallons can be filled in an hour, you only need 100 gallons
850/100 = 17/2 (simplified)
17 gallons/hour 60 minutes
------------------------- x ---------------------
2 gallons 1 hour
the gallons cancel out and the hours cancel out which leaves us with:
17 x 60 = 1,020 / 2 = 510
510 minutes
2) I don't know how to do two sorry
Answer:
Step-by-step explanation:
fraction are not integers
Answer: 6.3
Step-by-step explanation:
The formula for geometric mean is given as :
G.m = 
Therefore , the geometric mean between 4 and 10 will be :
G.m = 
= 
= 2
= 6.3
Answer:
x = 144
Step-by-step explanation:
What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.
x/60 = 60/25
Multiply by 60 to find x:
x = (60·60)/25
x = 144
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<em>Comment on this geometry</em>
You may have noticed that the above equation can be written in the form ...
60 = √(25x)
That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).
This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).
And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).
While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.
Answer: 48 points gained in those 3 days.
Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.
Subtract 220-48.It‘ll be 172.
Add 172 with 96. 172+96=268.
Subtract 268 with how much points the stock market had 3 days ago. 268-220. So it would be about 48 points gained.
