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larisa [96]
3 years ago
9

Robert gives roping lessons at the Sundown Corral. A 3-hour lesson costs $120.00. The cost of a lesson is proportional to the du

ration, in hours, of the lesson. What is the constant of proportionality in terms of dollars per hour?
Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:$40/hour

Step-by-step explanation:

3 hour session costs $120

Therefore, an hour session would cost $120/3 = $40

The constant of proportionality is 40 dollars per hour.

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mario62 [17]

Answer:

x=\frac{70}{11},\:y=\frac{20}{11}

Step-by-step explanation:

\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}

\mathrm{Substitute\:}y=-\frac{1}{2}x+5

\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}

Simplify

\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}

Isolate x for 3x+10=16(-1/2x+5): x=\frac{70}{11}

\mathrm{For\:}y=-\frac{1}{2}x+5

\mathrm{Substitute\:}x=\frac{70}{11}

y=-\frac{1}{2}\cdot \frac{70}{11}+5

-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}

y=\frac{20}{11}

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=\frac{70}{11},\:y=\frac{20}{11}

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