Answer:
180% ; 5
Step-by-step explanation:
Purchase price per coat = 55
Sales price per coat = 99
% of purchase price is sales price :
X% * 55 = 99
(x / 100) * 55 = 99
0.01x * 55 = 99
0.55x = 99
x = 99 / 0.55
x = 180
180% of purchase price
B.)
180% * 45 = 81 per jacket
Number of jackets to sell to make atleast $390 in sales
$390 / $81 = 4.8
Hence, 5 jackets
Answer:
The legs of this triangle are both 3cm.
Step-by-step explanation:
Since this triangle is isosceles, the two unknown sides have the same length. Use Pythagorean Theorem because it is a right triangle. See image.
Answer:
28.3 cm
Step-by-step explanation:
The formula to find the circumference is 2•π•radius. The diameter is 9 cm, so the radius is 9/2 = 4.5 cm. So, the circumference is:
2•4.5•3.14 = 28.26 ≈ 28.3 cm
Answer:
![= \frac{2x-3\sqrt{x} }{x-1}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B2x-3%5Csqrt%7Bx%7D%20%7D%7Bx-1%7D)
Step-by-step explanation:
Given the expression
![\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Csqrt%7Bx%7D%20%2B1%29%5E%7B2%7D%20%2B%28%5Csqrt%7Bx%7D%20-1%29%5E%7B2%7D%20%29%7D%7B%28%5Csqrt%7Bx%7D%20%2B1%29%28%5Csqrt%7Bx%7D%20-1%29%7D%20-%5Cfrac%7B3%5Csqrt%7Bx%7D%20%2B1%7D%7Bx-1%7D)
Expand
![\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\\= \frac{x+2\sqrt{x}+1+(x-2\sqrt{x} +1) }{x-1}- \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1}{x-1} - \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1-(3\sqrt{x} +1)}{x-1}\\= \frac{2x-3\sqrt{x} +1-1}{x-1}\\= \frac{2x-3\sqrt{x} }{x-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Csqrt%7Bx%7D%20%2B1%29%5E%7B2%7D%20%2B%28%5Csqrt%7Bx%7D%20-1%29%5E%7B2%7D%20%29%7D%7B%28%5Csqrt%7Bx%7D%20%2B1%29%28%5Csqrt%7Bx%7D%20-1%29%7D%20-%5Cfrac%7B3%5Csqrt%7Bx%7D%20%2B1%7D%7Bx-1%7D%5C%5C%3D%20%5Cfrac%7Bx%2B2%5Csqrt%7Bx%7D%2B1%2B%28x-2%5Csqrt%7Bx%7D%20%2B1%29%20%7D%7Bx-1%7D-%20%20%5Cfrac%7B3%5Csqrt%7Bx%7D%20%2B1%7D%7Bx-1%7D%5C%5C%3D%20%5Cfrac%7B2x%2B1%7D%7Bx-1%7D%20-%20%5Cfrac%7B3%5Csqrt%7Bx%7D%20%2B1%7D%7Bx-1%7D%5C%5C%3D%20%5Cfrac%7B2x%2B1-%283%5Csqrt%7Bx%7D%20%2B1%29%7D%7Bx-1%7D%5C%5C%3D%20%5Cfrac%7B2x-3%5Csqrt%7Bx%7D%20%2B1-1%7D%7Bx-1%7D%5C%5C%3D%20%5Cfrac%7B2x-3%5Csqrt%7Bx%7D%20%7D%7Bx-1%7D)
This gives the simplified form