A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800lb of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.

What are the solutions for the following system? -2x^2+y=-5 y=-3x^2+5