Michael wants to celebrate 4th July (US Independence Day) by putting together little gifts for his friends. He bought 176 red, 112 blue and 96 white sweets. He wants to create some identical gift packs with red, blue and white sweets inside each. What is the greatest number of gift packs he can create?

32

Step-by-step explanation:

2⊥ 96, 112, 176

2     48, 56, 88

2     24, 28, 44

2     12,  14,  22

2      6,   7,   11

Highest common factor= 2x2x2x2x2= 32

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

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.