<h3>
Answer: 60 muffins</h3>
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Explanation:
x = some positive whole number
2x = amount Helen baked initially
5x = amount Rebecca baked initially
Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.
So (2x)/(5x) = 2/5
Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,
(amount Helen bakes)/(amount Rebecca bakes) = 1/2
(2x+12)/(5x) = 1/2
2(2x+12) = 5x*1 .... cross multiply
4x+24 = 5x
24 = 5x-4x
24 = x
x = 24
From here, we then can say,
- Helen = 2x+12 = 2*24+12 = 48+12 = 60
- Rebecca = 5x = 5*24 = 120
Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.
Furthermore, note how
- 2x = 2*24 = 48
- 5x = 5*24 = 120
- 48:120 reduces to 2:5 after dividing both parts by 24
This helps confirm we have the correct answer.
Answer:
Total Revenue Function = 7000p - 0.15 p^3
Rate of change per unit price change = 7000 - 0.45 p^2
Step-by-step explanation:
x = 7000 - 0.15 p^2 [Quantity given]
Total Revenue is the total value of receipts from sale. TR = Price X Quantity
TR Function = p.x
= p (7000 - 0.15 p^2) = 7000p - 0.15 p^3
Rate of change in revenue, due to change in price
dTR / dP = 7000 - 0.45 p^2
Answer:
Step-by-step explanation:
x18y32 x18y x6y4 x6y32
Answer:
8
Step-by-step explanation:
Answer:
it is 6 because there is no other explanation to 1-f f=6!
Step-by-step explanation:
all i did was look 1 - f = 5 then f equaled 6!