Veronica got 3 times as many gifts as natalie. together veronica and natalie got a total of 12 gifts. how
many gifts did natalie (x) and veronica (y) each get?

Natalie got 3, Veronica got 9.

Step-by-step explanation:

N = Natalie

If Veronica got 3 times as many as Natalie, then she got 3N.

Add them together:

N + 3N = 12

4N = 12

N = 3

Therefore,

Natalie got 3 (N = 3)

Veronica got 9 (3N = 3 x 3 = 9)

Step-by-step explanation:

X = Natalie

Y = Veronica  

Veronica got three times as many presents as Natalie so 3x and Natalie is x and this all equals 12.

3x+x=12

=   4x=12

So, now solve the equation

÷4      ÷4

   x=3 = Natalie

12-3=9

   y=9 = Veronica

ok

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be