Kyle mixes 1/2 of a cup of lemonade with 4 cups of cranberry juice to make punch for the party. He has 5 cups of lemonade. How many cups of cranberry juice does he need to make the punch?

The formula for the volume of a rectangular prism is v = lwh. a rectangular prism has a length of 2y 3 and width of 5y. the volume of the prism is 20y 10 + 70y 4 . what is the height of the prism? show your work.

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Which of these sequences is a geometric sequence a 1,2,4, 7, 11, 16, 22. b. 2.4.8.14.22.38 c.3.6.9. 15.18,21 d. 3,9,27,81,243,729,