Emma is making a snack mix of pretzels and peanuts. For every batch, she uses (2/3) cup of peanuts and (1/2) cups of pretzels. Use the ratio of pretzels to peanuts to find the constant of proportionality. Write an equation that relates the amounts of pretzels and peanuts in the snack mix. PLEASE NEED HELP AND EXPLANATION

Complete the steps, which describe how to find the area of the shaded portion of the circle. find the area of the sector by multiplying the area of the circle by the ratio of the to 360. subtract the area of the triangle from the area of the sector.

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.