Answer:
16 ride tickets.
Step-by-step explanation:
The original entry fee is $4 so you can subtract that from 12. Now you have $8. So you would double 8 since $0.50 is half of $1. 8x2 is 16.
48=x+y
143= 2x+4y
y= sheep
48-y = x
143=2(48-y)+4y
143= 96-2y+4y
143=96+2y
47=2y
y=19
19 sheep
Use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -3
r is the common ratio, -2
and n is the number of terms
Thus,
Sum = ((-3)((-2)^10 - 1))/(-2-1) = 1023
Answer:
Step-by-step explanation:
In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.
Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:
The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:
This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as
The radius is the square root of the constant. So the radius is 6.
D is the graph you want.
Answer:
C:) 17/3
Step-by-step explanation:
Simplify the following:
((3 + 2/5)×5)/3
((3 + 2/5)×5)/3 = ((3 + 2/5)×5)/3:
((3 + 2/5)×5)/3
Put 3 + 2/5 over the common denominator 5. 3 + 2/5 = (5×3)/5 + 2/5:
((5×3)/5 + 2/5 5)/3
5×3 = 15:
((15/5 + 2/5)×5)/3
15/5 + 2/5 = (15 + 2)/5:
((15 + 2)/5×5)/3
15 + 2 = 17:
(17/5×5)/3
17/5×5 = (17×5)/5:
((17×5)/5)/3
((17×5)/5)/3 = (17×5)/(5×3):
(17×5)/(5×3)
(17×5)/(5×3) = 5/5×17/3 = 17/3:
Answer: 17/3
