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.

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

5.25 ounces

step-by-step explanation:

divided 3/4 and 6