Mathematics, 20.08.2019 10:30 Nikcoli

Ateacher wants to give 3 markers to each of her 25 students markers come in packages of 8 how many packages of markers will the teacher need ?

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The teacher will need 10 packages of markers. If 8 markers to a package, 10 packages= 80 markers. If 25 students shall have 3 markers each, that comes to equal 75. So the teacher needs 10 packages and will have five left over.

Answer from: ErnieIrwin

The teacher wants to give 3 markers to each student

There are 25 students

Markers come in packs of 8

Multiply 3 markers by 25 students (3 markers per student)

3×25=75 markers

There is 8 markers per package so divide that amount my the amount of markers needed

75÷8=9.37 packages

But you need it in whole packages (you can't buy a fraction of a package)

So since 9.37 is over 9 packages, it rounds up one package higher which is 10

10 packages are needed

Answer from: Quest

Where is the diagram?

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

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 = $\frac{1-0}{3-0} = \frac{1}{3}$ .

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

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

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

$y> \frac{1}{3}x$ .

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

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

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

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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Ateacher wants to give 3 markers to each of her 25 students markers come in packages of 8 how many p...