1) target sells 24 bottles of water for $3 and 36 bottles of water for $4. which is the better buy and by how much?
a) 24 bottles for $3 by 1.5¢ per bottle
b) 24 bottles for $3 by 70¢ per bottle
c) 24 bottles for $3 by 75¢ per bottle
d) 36 bottles for $4 by 1.4¢ per bottle

2) an ice machine uses 3 gallons of water every 9 hours. how many gallons of water does it use each hour? how many hours does it take to use one gallon? a) 1/9 gallons per hour; 1 hour
b) 1/3 gallons per hour; 3 hours
c) 3 gallons per hour; 1/9 hour
d) 1/3 gallons per hour; 1/3 hour

3) if a dozen eggs cost $1.35, what is the unit cost?
a) $0.11
b) $0.13
c) $1.23
d) $4.29

4) suppose anna earns $38.50 to walk the neighbor's dog 7 hours during the week. how much does anna earn per hour?
a) $4.25
b) $4.80
c) $5.50
d) $5.75

5) which ratio is equivalent to the unit rate of "30 miles 1 gallon"? how was the unit rate transformed into the equivalent ratio?
a) "3 gallons 10 miles; " by dividing the numerator and denominator of the unit rate by 10.
b) "90 miles 5 gallons; " by multiplying the numerator and denominator of the unit rate by 3.
c) "6 gallons 180 miles; " by multiplying the numerator and denominator of the unit rate by 2.
d) "180 miles 6 gallons; " by multiplying the numerator and denominator of the unit rate by 6.

Part 1) option D) 36 bottles for $4 by 1.4¢ per bottle

Part 2) option B) 1/3 gallons per hour; 3 hours

Part 3) option A) $0.11

Part 4) option C) $5.50

Part 5) option D) "180 miles 6 gallons;" by multiplying the numerator and denominator of the unit rate by 6.

Step-by-step explanation:

Part 1) we know that

To find out the unit rate divide the total cost by the number of bottles

a) sells 24 bottles of water for $3

The unit rate is

b) sells 36 bottles of water for $4

The unit rate is

The better buy is  36 bottles of water for $4 (because the unit rate is less)

Find out the difference

therefore

36 bottles for $4 by 1.4¢ per bottle

Part 2) we know that

An ice machine uses 3 gallons of water every 9 hours

a) How many gallons of water does it use each hour?

using proportion

Let

x ----> the number of gallons

b) How many hours does it take to use one gallon?

using proportion

Let

x ----> the number of hours

therefore

1/3 gallons per hour; 3 hours

Part 3) we know that

To find out the unit cost divide the total cost by the number of eggs

Part 4) we know that

To find out how much Anna earn per hour divide the total earned by the number of hours

Part 5) Which ratio is equivalent to the unit rate of "30 miles 1 gallon"? How was the unit rate transformed into the equivalent ratio?

we have the ratio

Verify each case

a) "3 gallons 10 miles;"

we have

This ratio is not equivalent to the given ratio

b) "90 miles 5 gallons;"

we have

This ratio is not equivalent to the given ratio

c) "6 gallons 180 miles;"

we have

This ratio is equivalent to the given ratio by by multiplying the numerator and denominator of the unit rate by 6.

d) "180 miles 6 gallons;"      

we have

This ratio is equivalent to the given ratio by by multiplying the numerator and denominator of the unit rate by 6.

therefore

"180 miles 6 gallons;" by multiplying the numerator and denominator of the unit rate by 6.

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.