Susan was supposed to use 5/4 of a cup of butter in her recipe, but she only used 3/4 of a cup of butter.

a. What fraction of the butter that she should
have used did Susan actually use? Make a
math drawing to help you solve this problem
and explain your solution.

b. Describe the different unit amounts that occur
in part (a). Discuss how one amount can be de-
scribed with two different fractions depending
on what the unit amount is taken to be.

step-by-step explanation:

no of data

divide by no of mode

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.