Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which equation should she use to find the number of teaspoons of baking soda, x, needed if she uses 9 cups of sugar?

Given:

Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies.

To find:

The equation that she should use to find the number of teaspoons of baking soda, x, needed if she uses 9 cups of sugar.

Solution:

Let the number of teaspoons of baking soda be x, that is needed if she uses 9 cups of sugar.

For every 2 teaspoons of baking soda Trisha uses 3 cups of sugar.

For every 1 teaspoons of baking soda Trisha uses cups of sugar.

For every x teaspoons of baking soda Trisha uses cups of sugar.

Since she uses 9 cups of sugar for every x teaspoons of baking soda, therefore,

Multiply both sides by 2.

Divide both sides by 3.

Therefore, the required equation is and the number of required teaspoons of baking soda is 6.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula