Answer:
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First take 10,000 * 2 = 20,000, because each of the 10,000 tickets cost 2 dollars.
3000(1/20000) + 1000(3/20000) + 500(5/20000) + 100(20/10000) = 10500/20000 = .525
Thus, each ticket is worth 52.5 cents.
Hope it helps <3
(x² + 16)(x² - 16)
= (x²)² - 16²
= x⁴ - 256
Answer:
20 batches
Step-by-step explanation:
Cups of sugar in a bag = 15
Cups of sugar per batch of cookie = 3/4 cup
Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1
what's the greatest number of batches of cookies that can be made with the bag of sugar
Let
x = batches of cookies made with a bag of sugar
Cups of sugar per batch of cookie : batch of cookies = 15 : x
Equate the ratios
3/4 : 1 = 15 : x
3/4 ÷ 1 = 15/x
3/4 × 1/1 = 15/x
3/4 = 15/x
Cross product
3 * x = 4 * 15
3x = 60
x = 60/3
x = 20
x = batches of cookies made with a bag of sugar = 20 batches