Answer:
5/9
12
Step-by-step explanation:
La clase entera es 1.
1/3 estudian español.
1/9 estudian italiano.
1 - 1/3 - 1/9 estudian alemán.
1 - 1/3 - 1/9 = 9/9 - 3/9 - 1/9 = 5/9
<em>5/9 de los estudiantes estudian alemán.</em>
n = numero total de estudiantes en la clase.
5/9 n = 15
9/5 * 5/9 * n = 15 * 9/5
n = 27
Hay 27 estudiantes en la clase.
27 - 15 = 12
<em>12 estudiantes no estudian alemán.</em>
Answer: Option a.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option a.
Answer:
140
Step-by-step explanation:
When working HCF and LCM problems, I like to think in terms of this little diagram:
(a [ b ) c]
It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.
__
Here, we're given ...
b = 20
ab = 320
abc = 2240
Then ...
c = abc/(ab) = 2240/320 = 7
x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320
x = 140
