In order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.
Step-by-step explanation:
Let hours of exercising horses be x --> $5 per hour = 5x
Let hours of cleaning stalls be y --> $10 per hour = 10y
Total earning = 
Total hours = 12
<u>Equation 1:</u>
5x + 10y =
<u>Equation 2:</u>
x + y 
<em>1. Multiply equation 2 by -5</em>
x + y (*-5)
5x + 10y =
-5x - 5y 
5x + 10y =
<em>2. Solve</em>
-5x + 5x -5y + 10y = -60 + 90
5y = 30
y = 6
x + y = 12
x + 6 = 12
x = 6
Therefore, in order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.
Keywords: Simultaneous, hours, equations
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Answer: Second option is not true for a firm in perfect competition.
Step-by-step explanation:
We know that
In perfect competition, number of buyers and sellers are in large number, free entry and exit of firms, it sells homogenous products and can't earn abnormal profit.
In this competition, "Firm is the price taker, industry is the price maker".
and AR = MR as there is constant price fixed by the industry.
Hence, Second option is not true for a firm in perfect competition.
Answer:When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.
here you go
Answer:
The arrangement of the given equation in the slope - intercept form are
1. 
Step-by-step explanation:
Given:
Let A ≡ ( x1 , y1 ) ≡ (-12 , 70)
B ≡ ( x2 , y2 ) ≡ (-4 , 78)
Slope - intercept form :
Where,
m is the slope of the line.
c is the y-intercept.
When two points are given say ( x1 , y1 ) and ( x2 , y2) we can remove slope by
Slope,
∴ 
Now equation of a line for a point ( x1 , y1 ) and having slope m is given as,
Which is in the required form
y = 1x + 82
Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.
