Each paper cup is a cone.
The volume if a cone is (1/3) (pi) (radius)² (height)
Notice, in the picture they labeled the <em>diameter</em> of the cup = 8 cm.
But we need the<em> radius</em>. that's 1/2 of the diameter = 4 cm.
So, the volume of these paper cups is
(1/3) (pi) (4cm)² (11 cm) = about <em><u>184 cm³</u></em>
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It says that tons of lemons have been sacrificed, and you have
about 37,850 cm³ of lemonade.
How many cups will that fill ?
37,850 cm³ / 184 cm³ = about <em>205 cups</em>.
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How many packs of cups do you need to buy ?
Unfortunately, they only come in packs of 50.
1 pack = 50 cups . . . . . not enough
2 packs = 100 cups . . . not enough
3 packs = 150 cups . . . not enough
4 packs = 200 cups . . . oh so close but still not enough
You need to buy <em>5 packs = <u>250 cups</u></em>.
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It started raining, so you only sold 80% of the lemonade that you had.
80% means 0.80
"of" means "times"
You started out with 37,850 cm³ .
You sold (0.8) x (37,850 cm³) = about <u>30,280 cm³</u> of it.
How many cups did you fill with that much lemonade ?
(Remember, each cup holds about <u>184 cm³</u>.)
30,280 cm³ / 184 cm³ = about <u>164 cups sold</u>.
You bought 250 cups to start out.
You sold 164 cups of lemonade.
You had (250 bought - 164 used) =
<em>86 clean, unused paper cups, still in the wrappers, left over</em>.
< 1 is the angle has the same measurement as < 3 ( alternate interior angles )
3/4+7/9
LCM=36
27/36+28/36
55/36
1 whole number 19/36
Or 1.527777777777778
So when you have a -(-) then you make that a positive so that would mean - (+) so the two - - are positive and just one - is still negative, which would mean that the answer is -3. Because if the negative is greater that the positive then it is still a negative, in your mind you should make 13 positive minus 10 and then add the negative to make things easier if you want to.
Y=2x-4/3
x=2y-4/3 Switch variables
x/2 + 2/3 = y Isolate/Solve for y
H(x)^-1 = x/2 +2/3 Mark new equation as the inverse of the original.
