Linda received 100 dollars in cash for mowing lawns. She did the following with the 100 dollars:

 - Put 30% of the $100 into a bank account.

- Spent \(\dfrac{1}{5}\) of the 100 dollars.

- Kept the rest of the 100 dollars in cash.

How much of the 100 dollars did Linda keep as cash?

Min has a box in the shape of the rectangular prism shown below.

 What is the volume of Min’s box? 

If \(f\left(x\right)=\dfrac{2x+3}{2-3x},\) find all x for which \(f^{-1}\left(x\right)=2f\left(x^{-1}\right).\)

Mrs Taylor decided to buy bags for her two daughters. She bought her older daughter a black bag for 18.03 dollars , and she bought her younger daughter a green bag for 19.94 dollars. How much did she spend in all?

A circle of radius 3 is inscribed in the pictured quadrant of a circle. Find the area of the shaded section. 

Let z be one of the imaginary roots of x³ = 27. Evaluate (9 - 3z + z²)^.(9 + 3z + z²).

Solve for x:

\(\dfrac{1}{x^2+18x-20}+\dfrac{1}{x^2+18x-24}=\dfrac{-12}{x^2+18x-29}\)

A circle was inscribed within the triangle ABC. The circle is tangent to AB at point M with AM = 10 and MB = 6. The area of triangle ABC is \(120\sqrt{3}\) .

a) Find the perimeter of triangle ABC.

b) Find the measure of angle A.

Solve the equation \(\sqrt{3+\sqrt{3-\sqrt{3+\sqrt{3-x}}}}=x\)

Sara had \(\dfrac{3}{4}\) of her book left to read on Sunday night. She read \(\dfrac{1}{5}\) of the book Monday afternoon and \(\dfrac{1}{4}\) of the book Monday evening. What fraction of the book did she still have left to read on the Monday evening?

Nick is making two different typs of bread. He needs \(1\dfrac{3}{4}\) cups of flour for one type anh \(3\dfrac{3}{4}\) cups of flour for the other types. How many cups of flour will Nick need to make both types of bread?