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)
Sol: - Given that 1 oz = 2 tbsp
So, it means that one serving (8 oz) of iced tea has 2 tbsp (1 oz) of mix.
Hence the ratio of the drink mix to iced tea is 1:8
b. Suppose you want to make a quart (32 oz) of iced tea. How many ounces of
drink mix should be used?
1
Sol: - As we know that 8 of iced tea is drink mix, so
1
Drink mix for 32 oz tea ¿ 8 × 32=4 oz
Hence to make a quart (32 oz) of iced tea, 4 oz 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?
Sol: - As 1 oz = 2 tbsp, so
Tablespoons required to make a quart (32 oz) of iced tea ¿ 4 oz
¿ 4 ×2 tbsp
¿ 8 tbsp
Hence 8 tablespoons of iced tea mix should be used to make a quart (32 oz) of
iced tea.
, 2. △ RST has coordinates R (-4, -3), S (0, 5), and T (7, -3).
a. Graph △ RST in a coordinate plane.
Sol: -
b. Find the perimeter of △ RST.
Sol: -
To find the perimeter, we first find the lengths of the sides by distance formula.
RS=√ (−3+ 3 ) + ( 7+4 ) = √ ( 0 ) + ( 11 ) =√ ( 11 ) =11 units
2 2 2 2 2
ST =√ (5+ 3 ) + ( 0−7 ) =√ ( 8 ) + (−7 ) =√64 +49=√ 113 units
2 2 2 2
RT =√ (5+ 3 ) + ( 0+4 ) = √ ( 8 ) + ( 4 ) = √64 +16=√ 80=√ 16 ×5=4 √5 units
2 2 2 2
Now,
Perimeter=11+ √ 113+ 4 √ 5=30.574 units
one serving (8 oz) of iced tea.
a. What is the ratio of drink mix to iced tea? (Hint: 1 oz = 2 tbsp)
Sol: - Given that 1 oz = 2 tbsp
So, it means that one serving (8 oz) of iced tea has 2 tbsp (1 oz) of mix.
Hence the ratio of the drink mix to iced tea is 1:8
b. Suppose you want to make a quart (32 oz) of iced tea. How many ounces of
drink mix should be used?
1
Sol: - As we know that 8 of iced tea is drink mix, so
1
Drink mix for 32 oz tea ¿ 8 × 32=4 oz
Hence to make a quart (32 oz) of iced tea, 4 oz 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?
Sol: - As 1 oz = 2 tbsp, so
Tablespoons required to make a quart (32 oz) of iced tea ¿ 4 oz
¿ 4 ×2 tbsp
¿ 8 tbsp
Hence 8 tablespoons of iced tea mix should be used to make a quart (32 oz) of
iced tea.
, 2. △ RST has coordinates R (-4, -3), S (0, 5), and T (7, -3).
a. Graph △ RST in a coordinate plane.
Sol: -
b. Find the perimeter of △ RST.
Sol: -
To find the perimeter, we first find the lengths of the sides by distance formula.
RS=√ (−3+ 3 ) + ( 7+4 ) = √ ( 0 ) + ( 11 ) =√ ( 11 ) =11 units
2 2 2 2 2
ST =√ (5+ 3 ) + ( 0−7 ) =√ ( 8 ) + (−7 ) =√64 +49=√ 113 units
2 2 2 2
RT =√ (5+ 3 ) + ( 0+4 ) = √ ( 8 ) + ( 4 ) = √64 +16=√ 80=√ 16 ×5=4 √5 units
2 2 2 2
Now,
Perimeter=11+ √ 113+ 4 √ 5=30.574 units
