Annabelle went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 30 grams of sugar and each bottle of juice has 10 grams of sugar. Annabelle purchased 3 times as many bottles of juice as bottles of soda and they all collectively contain 120 grams of sugar. Graphically solve a system of equations in order to determine the number of bottles of soda purchased, x, x, and the number of bottles of juice purchased, yy.

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone. since the volume of a cone is part of the volume of a cylinder with the same base and height, find the volume of a cylinder first. the base of a cylinder is a circle. the area of the base of a cylinder is , where r represents the radius. the volume of a cylinder can be described as slices of the base stacked upon each other. so, the volume of the cylinder can be found by multiplying the area of the circle by the height h of the cylinder. the volume of a cone is of the volume of a cylinder. therefore, the formula for the volume of a cone is 1/3 1/2 1/3πr^2h 1/2πr^2h πr^2h πr^2

Find the value of x for which abcd must be a parallelogram -9-6x x-30

Paul’s car is 18 feet long. he is making a model of his car that is 1/6 the actual size. what is the length of the model?