Let x and y be the numbers of questions worth 5 and 2, respectively. There are a total of 29 questions which means that x + y should be 29. The equations that best describe the conditions are,
x + y = 29
5x + 2y = 100
Solving for x and y gives x = 14 and y = 15. Thus, there are 14 and 15 questions worth 5 and 2, respectively.
Answer:
x = 63
Step-by-step explanation:
From the question, we can deduce the following points;
- 12 less than x which simply means 12 subtracted from x.
- the value of the above expression is equal to 51.
Translating the word problem into an algebraic expression, we have;
x - 12 = 51
Rearranging the equation (collecting like terms), we have;
x = 51 + 12
x = 63
It would be d. none of the above
this would mean $360 earned in 30 hours
Answer:
In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.
Step-by-step explanation:
(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3 + (-x)^4
= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4