Mathematics, 06.10.2019 12:10 EllaSue

Mika earns $25 for every 3 hrs of work. calder earns $15 for every 2 hrs of work. if calder works long enough to earn the same amount that mika earns in 9 hrs, how many hrs does he work?

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Calder would have to work 10 hours to equal the same amount Mika has from 9 hours of work

Here's how:
Since Mika works 9 hours and she gets 25 per 3 hours, to get her amount for 9 hours, you times 25 by 3 which is 75

Now you need to set up a equation
To make it easier. you can divide 15 by 2, which is 7.5, to get a unit rate
After that you can set up your equation
7.5x=75
x=10
Hope this helps:)

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.

Answer from: Quest

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3

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Mika earns $25 for every 3 hrs of work. calder earns $15 for every 2 hrs of work. if calder works lo...