Asmall soda costs $0.45
and a large soda costs
$0.65
35 sodas were sold for a
total of $18.55. how many
of each size soda were
sold

There were 21 large sodas sold and 14 small sodas sold.

Step-by-step explanation:

x=number of small sodas

y=number of large sodas

.45x+.65y=18.55

x+y=35

Multiply the second equation by .45

.45(x+y=35)

.45x+.45y=15.75

Subtract

.45x-.45x=0

.65y-.45y=.20

18.55-15.75=2.80

.20y=2.80

Divide

(.20y)/.20=(2.80)/.20

y=14

Insert y into one of the equations

x+14=35

Subtract

x+14-14=35-14

x=21

There were 21 small sodas sold and 14 large sodas sold.

21 small sodas and 14 large sodas

Step-by-step explanation:

21×0.45+14×0.65=18.55

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.

the 3rd on is correct

step-by-step explanation: