When the​ women's soccer team won the state​ championship, the parent boosters welcomed the team back to school with a balloon bouquet for each of the 18 players. The parents spent a total of ​$124.20 ​(excluding tax) on foil balloons that cost ​$1.92 each and latex​ school-color balloons that cost ​$ 0.19 each. Each player received 9 ​balloons, and all the balloon bouquets were identical. How many of each type of balloon did each bouquet​ include?

3 foil, 6 latex

Step-by-step explanation:

First, you can put all of these words words into equations. We know there are 162 ballons (18 players)(9 bouquets). So we can put it in the equation

x + y = 162

Since each foil balloon costs $1.92 and each Latex balloon costs $.19 and they all cost $124.20. We can put it in an equation:

.19x + 1.92y = 124.20

You then get the systems of equations:

x + y = 162

.19x + 1.92y = 124.20

solving for the equation, you get x = 54 and y = 108. BUT, you have to be careful. The problem said "How many of each type of balloon did each bouquet​ include?" So we need to divide both by 18 for the player because each player recieved on bouquet.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.