Let us assume that the number of days she practiced the piano to be "d"
Since she practiced 2/3 hours a day, the total number of hours would be: 2/3*d
Now we are given the total number of hours during summer that she practiced be be equal to 32/23
So we equate 2/3 * d to 32/23 to find d
2/3*d = 32/23
d = (32/23)/ (2/3)
d = (32/23) * (3/2)
d = 48/23 hours
The equation that can be used to find the number of days that she practiced piano during the summer is 2/3*d = 32/23
Answer:
48%
Step-by-step explanation:
48 out of 100 = 48%
:D
Rotation about the origin
Answer:

Step-by-step explanation:
So we have the expression:

And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:

For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:

Grouping:

Now, substitute back the x² for u:

And this is the simplest form.
And we're done!