Mariana had a $20 gift card to an online music store. She spend the entire amount on songs, which cost $1 each, and music videos, which cost $2 each. Mariana brought five more songs than music videos. Write and solve a system of equations to find the number of songs and the number of music videos Mariana brought. No answer choices

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

Suppose that sahil knows that 45 people with ages of 18 to 29 voted. without using a calculator, he quickly says then 135 people with ages of 30to 49 voted. is he correct? how might sohil have come up with his answer so quickly?