How to solve 12 over 17 divided by 6 over 7. i know the answer is 14/17, but i do not understand how they solved it.

See Step-by-step.

Step-by-step explanation:

A simple trick when dividing fractions is to flip the second fraction then multiply. For example if the equation is , Flip c and d and change the sign to multiply. .

So for this, we first flip 6/7 to 7/6, then multiply. 12/17 * 7/6. We multiply the numerators together and the denominators together, so 12 * 7 = 84, and 17 * 6 = 102. 84/102 Is our answer, but we can simplify this down to 14/17.

d

step-by-step explanation:

d

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