C.
A doesn't work because x + x + x = 3x, not x^3.
B doesn't work because 14x + 10 - 2x has like terms, 14x and -2x can be combined, bit when you do so you get 14x - 2x, or 12x + 10. (So not 16x + 10)
D doesn't work because 12x^2 + 5x + 10 doesn't simplify; it can only be factored, and you cannot combine 12x^2 and 5x because their variables have different powers.
C, however, works fine. All they did is factor out a 3; if you distribute that 3 again, you get 12x + 16x back, so the two are equal.
The answer is D
Use Conects
Answer: 18.86 feet
Step-by-step explanation:
The formula for determining the circumference of a circle is expressed as
Circumference = πD
Where D represents the diameter of the circle.
The circumference of the inner circle is 44 ft. It means that
22/7 × D = 44
22D = 7 × 44 = 308
D = 308/22
D = 14 ft
The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be
14 + 3 + 3 = 20 ft
Circumference of the outer circle is
22/7 × 20 = 62.86 ft
The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is
62.86 - 44 = 18.86 feet
Answer:
Number of quarters → 15
Number of dimes → 2
Step-by-step explanation:
Let the number of dimes I have = y
And number of quarters = x
Since, I have amount in my pocket = $2
Therefore, 0.10y + 0.25x = 2
100(0.10y + 0.25x) = 100×2
25x + 10y = 200
5x + 2y = 40
2y = -5x + 40
y = -2.5x + 20 ---------(1)
Total number of coins in my pocket = 17
x + y = 17
y = -x + 17 ---------(2)
By using a graphing calculator we can graph these two lines (As attached)
Solution of the given system of equations will be the point of intersection of these lines.
Solution → (2, 15)
Number of quarters → 15
Number of dimes → 2
