What-is-the-ratio-of-drink-mix-to-iced-tea-Hint-1-oz-2-tbsp-math-homework-help

1. A label on an iced tea drink mix says to use 2 tbsp of iced tea mix to make one serving (8 oz) of iced tea.

a. What is the ratio of drink mix to iced tea? (Hint: 1 oz = 2 tbsp)

b. Suppose you want to make a quart (32 oz) of iced tea. How many ounces of drink mix should be used?

c. How many tablespoons of iced tea mix should be used to make a quart (32 oz) of iced tea?

2. ΔRST has coordinates ​R​(­-4, -3), ​S​(0, 5), and ​T​(7, -3).

a. Graph ΔRST in a coordinate plane.

b. Find the perimeter of ΔRST.

c. Find the area of ΔRST.

d. The centroid of a triangle is the intersection of its medians. Use the following steps to find the centroid of ΔRST using segment partition.

i. Find the midpoint of line segment TR. Label it N.

ii. Find the point, C, that partitions line segment SN such that SC:CN has the ratio of 2:1.

iii. Plot point C in your graph ΔRST.

e. Find and graph the midpoints of line segment TR, RS, and ST. Draw a segment connecting the vertex opposite each midpoint to the midpoint.

i. How does the intersection of the segments compare to point ​C​ from question 4?

3. Brian is renting an apartment. The floor plan of the apartment is shown below.

a. What is the total area of the apartment?

b. What are the dimensions of the master bedroom?

c. Brian wants to buy a dining room table from the local furniture store. He sees a table that is 9 ft. long and 3 ft. wide. Would it be reasonable to buy this table to put in the dining room? Why or why not?