I would say something along these lines: You are walking along a path, and then someone follows you. You then jog a little faster, but the stalker is coming. You then start to run away from the stalker. You realize that you are taking too long, so you jump on a bicycle. The stalker goes in a bicycle, so you jump onto a moving train to get away from him without stopping.
Just find the surface area. 5*7=35, but 35*2=7<span>0</span>, because the top and bottom. Then do 7*3*2=42, for 2 parallel sides, and then 3*5*2=30. Now add 70+30+42=142 square inches. There's your answer.
I am assuming from the answer choices that you meant Jaclyn's chances of winning.
There are 6 sides of a dice and it's rolled twice.
6×2=12
So while Morgan has a 2/12 chance (simplified that would be 1/6), Jaclyn has a 10/12 chance of winning (simplified that would be 1/3).
Therefore your answer would be A: 1/3
Answer:
f(7) - f(-7)
= (4 - 7^2) - ((-7)^3 - 2*(-7))
= -45 - (-329)
= 284
Answer:
Step-by-step explanation:
Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.
The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.
The system is
6h + 1d = 40
4h + 3d = 36
The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,
1d = 40 - 6h.
Now that we know what d equals, we can sub it into the second equation where we see a d. In order,
4h + 3d = 36 becomes
4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!
4h + 120 - 18h = 36 and
-14h = -84 so
h = 6.
That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:
1d = 40 - 6(6) and
d = 40 - 36 so
d = 4.
That means that each duck costs $4.
, where a = area, b=base, and h=height.
