Moonlight is trying to bake cookies. the recipe calls for 5 cup of sugar and 4/9 cups of flour. what is the unit rate of cups of sugar per cups of flour?

5/1 x 9/4 = 45/4

4/9 x 9/4 =36/36

36/36 = 1

45/4

1

=

45/4

45/4  = 11 1/4

The unit rate is 11 1/4 cups of sugar per cup of flour.

Hello,

Solution:

Turn into Improper Fractions,

5 = 5/1

4/9

Divide,

5/1 / 4/9

Copy Dot Flip,

5/1 x 9/4

Multiply Across,

5 x 9 = 45

1 x 4 = 4

45/4

Simplify,

45/4 = 11 1/4

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.