Answer:
12. C. 40 more students chose baseball than basketball
20. 500 total flowers
Step-by-step explanation:
12. To find the number of students that chose baseball, we multiply 25% by 800 students surveyed. First we have to convert 25% to a decimal = 0.25
800 x 0.25 = 200 students chose baseball.
Then, for basketball, 20% of students chose that, so 20% = 0.20
800 x 0.2 = 160 students chose basketball
200-160 = 40 more students chose baseball than basketball
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20. I don't know what your "magic sentence" looks like. You can set this up as a ratio, where x is the total number of flowers, and the 56% is a fraction of 56/100
280/x = 56/100
then cross multiply
28,000 = 56x
divide by 56
x = 500
Check the math: 500 x 0.56 = 280
If you want to tell me what your teacher's "magic sentence" looks like in the comments, I can try to fill it in with/for you.
Answer:
96
Explanation:
Just do 4x24 that will give u 96
Hi
Fractions that have a common denominator of 8, would be fractions that have denominators that, when multiplied, equal 8.
8/2 = 4
8/3 = 2.7
So the first option is incorrect.
8/4 = 2
8/2 = 4
The second option is correct.
The correct answer is 1/4 and 1/2
Hope this helps! :)
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.