You’ve earned 52%, 78%, 52%, and 64% on our previous for exams in a math class what do you need to earn on the next exam to have an average of 70% among all exams?

The marks that should be earned on the next exam should be 108%.

Given that,

Based on the above information, the calculation is as follows:

Since there is the average of 70%, so the total should be 350%.

Now the earning on the next exam should be

= 350% - 52% - 78% - 52% - 64%

= 104%

Therefore we can conclude that the marks that should be earned on the next exam should be 108%.

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You'd better hope for some bonus points on the last exam, because you need 104%.

Step-by-step explanation:

70% * 5 = 350%

52% + 78% + 52% + 64% + x% = 350%

246% + x%  = 350%

x% = 104%

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