Answer:
2 < x < 3
Step-by-step explanation:
4x - 4 < 8 AND 9x + 5 > 23
4x < 12 AND 9x > 18
x < 3 AND x > 2 so the answer is 2 < x < 3.
You have the right idea that things need to get multiplied.
What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.
Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.
The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.
So we multiply the entire complex fraction by (5)(x + 6)(x -3).
Numerator: 
= (x+6)(x-3) - (5)(5)(x-3)
= (x+6)(x-3) - 25(x-3)
= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3
= (x -3)(x - 19)
Denominator:

Now we put the pieces together.
Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)
Answer:
m = -1
Step-by-step explanation:
m = - (4 + m) + 2
m = -4 - m + 2
m = -2 - m
+m +m
2m = -2
/2 /2
m = -1
Hope this helps!
Answer:
C) $573.75
Step-by-step explanation:
We can come up with the equation of this Gross Weekly pay as:

Where P is the amount Larry will get paid, t is the time worked and S is the amount of sales he generated that week. This was derived from the fact that 11.25 is the slope and 0.045S is the y-intercept. By plugging in those values we have:

C) $573.75
So she used

of the cord to make necklaces.

She splits the

length into 4 equal lengths.
To divide a fraction by a fraction, you multiply it by its reciprocal.


She used

of the original chord to make each bracelet.