Balloon sales start to increase after your little prank. A local party supply company notices that their maximum profit is reached when they sell 80 balloons and they earn $60 of profit. When they sell 50 balloons they earn $33 of profit. Write a quadratic equation in vertex form to represent their profit.

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups

If you prove that ∆wxz is congruent to ∆yzx, which general statement best describes what you have proved?

Rachel is studying the population of a particular bird species in a national park. she observes every 10th bird of that species that she can find in the park. her conclusion is that the birds living in the park who belong to that species generally feed on insects. rachel's sample is . based on the sample she picked, rachel's generalization is