Takeru only uses eggs for soufflés in his restaurant. he uses 3 eggs per soufflé. last week, he bought 4 times as many eggs as he baked soufflés. takeru had 18 eggs left over. how many eggs did takeru buy and how many soufflés did he bake? takeru bought eggs and baked soufflés.

Takeru bought 72 eggs and baked  18 soufflés .

Step-by-step explanation:

Let

e = number of eggs Takeru bought.

s = number of soufflés Takeru bought.

Then we know that Takeru  bought 4 times as many eggs as he baked soufflés, therefore:

And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:

This says that from eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.

Now we have two equations:

We put the value of e from equation (1) into equation (2) and solve for s and get:

Thus

Number of eggs Takeru bought = 72.

Number of soufflés Takeru bought = 18.

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

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8