Answer:
A- 6.4 grams of Butter (Fraction: 6 and 2/5)
B- 19.2 grams of Butter (Fraction: 19 and 1/5)
Step-by-step explanation:
First you have to divide 5 by 8 to see how much butter is used for each pancake and then multiply the quotient of that by 4 and that would get you the answer to Part A. For Part B you use the quotient that you got for 8 divided by 5 and multiply it by 12 to get Part B.
Answer:
B, C, D
Step-by-step explanation:
Given expression ![35+30s-45t](https://tex.z-dn.net/?f=35%2B30s-45t)
Note that
![35=5\cdot 7\\ \\30=5\cdot 6\\ \\45=5\cdot 9](https://tex.z-dn.net/?f=35%3D5%5Ccdot%207%5C%5C%20%5C%5C30%3D5%5Ccdot%206%5C%5C%20%5C%5C45%3D5%5Ccdot%209)
Use distributive property:
![35+30s-45t\\ \\=5\cdot 7+5\cdot 6s-5\cdot 9t\\ \\=5(7+6s-9t)](https://tex.z-dn.net/?f=35%2B30s-45t%5C%5C%20%5C%5C%3D5%5Ccdot%207%2B5%5Ccdot%206s-5%5Ccdot%209t%5C%5C%20%5C%5C%3D5%287%2B6s-9t%29)
Thus, choice B is true.
Rewrite given expression in following way:
![35+30s-45t\\ \\=-(-35)-(-30s)+(-45t)\\ \\-(-1)\cdot 35-(-1)\cdot 30s+(-1)\cdot 45t\\ \\=(-35-30s+45t)\cdot (-1)](https://tex.z-dn.net/?f=35%2B30s-45t%5C%5C%20%5C%5C%3D-%28-35%29-%28-30s%29%2B%28-45t%29%5C%5C%20%5C%5C-%28-1%29%5Ccdot%2035-%28-1%29%5Ccdot%2030s%2B%28-1%29%5Ccdot%2045t%5C%5C%20%5C%5C%3D%28-35-30s%2B45t%29%5Ccdot%20%28-1%29)
Thus, choice C is true.
Rewrite given expression in following way:
![35+30s-45t\\ \\=10\cdot 3.5+10\cdot 3s-10\cdot 4.5t\\ \\=10\cdot (3.5+3s-4.5t)](https://tex.z-dn.net/?f=35%2B30s-45t%5C%5C%20%5C%5C%3D10%5Ccdot%203.5%2B10%5Ccdot%203s-10%5Ccdot%204.5t%5C%5C%20%5C%5C%3D10%5Ccdot%20%283.5%2B3s-4.5t%29)
Thus, choice D is true.
Answer:
466 people can fit in the plane.
Step-by-step explanation:
20 + 140 + 406 = 466
7.870 that is the answer since the nearest hundredth
No because the perfect trinomial has a square as the third term and the middle term is a multiple of 2.