Given ratio: 5 (goats) : (to) 8 (sheep.)
The question asked that if Giles had 32 sheep, then how many goats would he have. We can figure out how many goats he would have by cross multiplying fractions.
5 z
- x -
8 32
To figure out the z variable, we simply cross multiply 5 and 32, which gets us 160. Now we divide it by 8. Whatever we get for z, that is our answer for goats. The answer would be <span>20.
</span>
You would first divide 5 by 8 to get 0.625.
Then you compare.
0.7 > 5/8 (0.625)
Answer:
2 out of 5
Step-by-step explanation:
I believe that 96/240 needs to be simplified until it cant anymore, an that is the probability because they both fit three, I will divide by three.
96/3=32
240/3= 80
<u>32/80</u>
2
16/40 then because they both fit four, Ill do four.
4/10then 2 again
2/5 so, it is 2 out of five
please correct me if I am wrong, I was never good at probabilities, but I am better now.
The answer to this question is 96cm2
First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.
If we need the vertex to be at 
, the equation will contain a 
term.
If we start with 
we have a parabola, concave down, with vertex at and a maximum of 0.
So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be 
We have
Now we only have to fix the fact that this parabola doesn't land at 
, because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want
such that:
Plugging these values gets us
As you can see in the attached figure, the parabola we get satisfies all the requests.
, we have
