Answer:
6. B
7. C
8. B
Step-by-step explanation:
64% on sale means ( 100-64 = 36) 36% are full price
125 * 0.36 = 45 CDs are full price
Answer:
![-(7+2\sqrt{10})/3](https://tex.z-dn.net/?f=-%287%2B2%5Csqrt%7B10%7D%29%2F3)
Step-by-step explanation:
we have
![\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%2B%5Csqrt%7B5%7D%7D%7B%5Csqrt%7B2%7D-%5Csqrt%7B5%7D%7D)
we know that
We can rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator
so
![\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}} *\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}}=( \sqrt{2}+\sqrt{5})^{2}/(2-5)\\ \\=(2+2\sqrt{10}+5)/(-3)\\ \\(7+2\sqrt{10})/(-3)\\ \\=-(7+2\sqrt{10})/3](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%2B%5Csqrt%7B5%7D%7D%7B%5Csqrt%7B2%7D-%5Csqrt%7B5%7D%7D%20%2A%5Cfrac%7B%5Csqrt%7B2%7D%2B%5Csqrt%7B5%7D%7D%7B%5Csqrt%7B2%7D%2B%5Csqrt%7B5%7D%7D%3D%28%20%5Csqrt%7B2%7D%2B%5Csqrt%7B5%7D%29%5E%7B2%7D%2F%282-5%29%5C%5C%20%5C%5C%3D%282%2B2%5Csqrt%7B10%7D%2B5%29%2F%28-3%29%5C%5C%20%5C%5C%287%2B2%5Csqrt%7B10%7D%29%2F%28-3%29%5C%5C%20%5C%5C%3D-%287%2B2%5Csqrt%7B10%7D%29%2F3)