A girl is half as old as her sister and is also two years younger than her brother. If the sum of the three children's ages is 34 years, what is the product of their ages? ASAP pls

13 and a half  5 and half and 16

:D

1280

Step-by-step explanation:

Let x represent the age of the girl then...

Brother: x+2

Sister: 2x

We can use this to set up an equation:

x+x+2+2x=34

Combine like terms

4x+2=34

Subtract 2 from both sides

4x=32

Divide both sides by 4

x=8 (girl)

x+2=10 (brother)

2x=16 (sister)

Now, we multiply these three numbers to get the product of their ages.

8(10)(16)=80(16)=1280

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.