Answer:
(- 3, 2 )
Step-by-step explanation:
To determine which ordered pair is a solution, substitute the x and y- coordinates of the given points into the left side of the equation.
If the result is equal to the right side then the pair is a solution.
(2, - 2)
- 6(2) - 7(- 2) = - 12 + 14 = 2 ≠ 4 ← not a solution
(- 2, 2 )
- 6(- 2) - 7(2) = 12 - 14 = - 2 ≠ 4 ← not a solution
(- 3, 2 )
- 6(- 3) - 7(2) = 18 - 14 = 4 = right side ← a solution
(2, - 3 )
- 6(2) - 7(- 3) = - 12 + 21 = 9 ≠ 4 ← not a solution
(- 3,2 ) is a solution of the equation
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>.
1/5m + 6 = 3/4
subtract 6 from each side
1/5m = 3/4 - 6
divide 1/5 from each side
m = 3/4÷1/5 - 6/5
simplify
m= 3/4 × 5 - 6/5
m = 15/4 - 6/5
m = 75/20 - 24/20
m = 51/20
m = 2 11/20
So,
The skateboard cost $67.
The protective helmet cost $25.
To find the percent that the price of the skateboard was out of the total amount, add 67 and 25 and divide 67 by the result.
Step 1:
67 + 25 = 92
Step 2:
67/92 = 0.728 or 72.8%.
The correct option is B.
