Answer:
c
Step-by-step explanation:
C. 8 23/24. One way you can solve this is by dividing 14 1/3 by 8, because it is the denominator of 5/8, then multiplying the quotient by 5, because it is the numerator of 5/8. (14 1/3 / 8) x 5 = 8 23/24
Answer:
Step-by-step explanation:
This is the sum of perfect cubes. There is a pattern that can be followed in order to get it factored properly. First let's figure out why this is in fact a sum of perfect cubes and how we can recognize it as such.
343 is a perfect cube. I can figure that out by going to my calculator and starting to raise each number, in order, to the third power. 1-cubed is 1, 2-cubed is 8, 3-cubed is 27, 4-cubed is 64, 5-cubed is 125, 6-cubed is 216, 7-cubed is 343. In doing that, not only did I determine that 343 is a perfect cube, but I also found that 216 is a perfect cube as well. Obviously, x-cubed and y-cubed are also both perfect cubes. The pattern is
(ax + by)(a^2x^2 - abxy + b^2y^2) where a is the cubed root of 343 and b is the cubed root of 216. a = 7, b = 6. Now we fill in the formula:
(7x + 6y)(7^2x^2 - (7)(6)xy +6^2y^2) which simplifies to
(7x + 6y)(49x^2 - 42xy + 36y^2)
Answer:
3/8 pounds of meat
Step-by-step explanation:
7/8 pounds of ham
= 0.875 pounds of ham
1 3/8 pounds of turkey
= 11/8 pounds of turkey
= 1.375 pounds of turkey
Pounds of meat
P_meat = 0.875 pounds of ham + 1.375 pounds of turkey
P_meat = 2.25 pounds of meat
Jon puts 1/6 of the meat on each sandwich
P_meat/6 = 3/8 pounds = 0.375 pounds
