<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:
8x(3x^2 +1)
Step-by-step explanation:
24x^3 + 8x
We can factor out 8x
8x(3x^2 +1)
Answer:
50 50
Step-by-step explanation:
Answer:
C. 1
Step-by-step explanation:
From the chart given, it shows that the number of makes that chose bike riding as their favorite activity are 10.
Females who chose bike riding activity are 9.
The difference between number of makes and number of makes and females who chose bike riding = 10 - 9 = 1
Therefore, this means that 1 more male than the female chose bike riding.
Equation- 1/4c+3=9
solve the equation to get c=24
24 pieces of cake