Answer:
40 and 20
Step-by-step explanation:
(2x+3y)⁴
1) let 2x = a and 3y = b
(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
0 | 1
1 | 1 1
2 | 1 2 1
3 | 1 3 3 1
4 | 1 4 6 4 1
0,1,2,3,4,.. represent the exponents of binomials
Since our binomial has a 4th exponents, the coefficients are respectively:
(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):
2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)
16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
Answer:
the answer would be 90
Step-by-step explanation:
100 giants fills 5/8 (100/160) of the theater leaving 3/8 of the theater for the elves.
3/8 times 240 elves is 90 elves.
If there were 150 elves that would also be 5/8 filled plus the original 5/8 filled with 100 giants! Some elves might suffer!!!
Multiply sales by 6%
40,000 x 0.06 = 2,400
Add that to his base pay:
2400 + 25000 = $27,400 total pay.
Answer:
Option C is the correct option.
Step-by-step explanation:
Considering the triangle ABC, the slope of the line CA is given by 
Again, considering the triangle CDE, the slope of the line EC is given by
Since CA and EC represents the same straight line so, we can write
Therefore, option C is the correct option. (Answer)
