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yKpoI14uk [10]
3 years ago
10

Please answer this question

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

Answer:

The average rate is 35 miles per hour

Step-by-step explanation:

To get from town A to town B takes 3 hours.  The distance is 100 miles


To get from town B to  town c takes 1 hours.  The distance is 40 miles

To find the average rate , we need to find the total distance and divide by the total time

Total distance = 100 + 40 = 140 miles

Total time = 3 hrs + 1 hr = 4 hours

distance = rate * time

140 miles = rate * 4 hours

140/4 = rate

35 = rate

The average rate is 35 miles per hour

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\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}

{

3x+5y=2

9x+11y=14

∣⋅(−3)

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9x+11y=14

add both sides of equations

. −4y=8 ∣:(=4)

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