This method can be very useful, so please try to remember it
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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.
Complexes with a coordination number 4 mostly adopt tetrahedral and squar planar geometries.
<h3>What is geometry?</h3>
- Geometry is a subfield of mathematics that examines the measurement and relationships of surfaces, solids, solid surfaces, angles, and points.
- Ge and metria, two Greek terms that signify "measuring," are the origin of the word geometry. The foundation of geometry has been the method of geometry devised by the Ancient Greeks for more than 2000 years.
- The calculation of a triangle's angles is a geometry example.
- Plane geometry, solid geometry, and spherical geometry are the three most popular types of geometry.
Complexes with a coordination number 4 mostly adopt tetrahedral and squar planar geometries.
To learn more about geometries, refer to:
brainly.com/question/19241268
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