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Step-by-step explanation:

let e be exercising hours

let c be cleaning stalls hours

Here is the inequality system per week:

Two possible solutions:

a) see attached graph

b) (2,8) (3,7)

Step-by-step explanation:

Part a

let x = number of hours exercising horses

let y = number of hours cleaning stalls

As he must earn at least $60 per week:   5x + 10y ≥ 60

As he can work no more than 12 hours per week:  x + y ≤ 12

Rearrange each equation to make y the subject:        

5x + 10y ≥ 60

⇒ 10y ≥ 60 - 5x

⇒ y ≥ 6 - (1/2)x

Therefore, graph the line    with a solid line, and shade above the line (shown in blue on the attached diagram)

x + y ≤ 12

⇒ y ≤ 12 - x

Graph the line    with a solid line, and shade below the line (shown in red on the attached diagram)

Part b

Possible solutions are any points found within the overlapping shaded region (shown in purple on the attached diagram) including the points on the lines:

e.g.  (2, 8) or (3, 7) or (4, 6) or (5, 5) or (5, 7) etc.

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.

in english this is

ex.15 pag.85 create. write in ten lines the continuation of the ballad of the five motanasi, using verbs to the imperfect and to the perfect compound. five stars

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