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Zanzabum
3 years ago
15

He counted 206 wheels and 170 pedals. How many bicycles and tricycles does he have.

Mathematics
1 answer:
noname [10]3 years ago
8 0
Bicycle has 2 wheels and 2 pedals
 tricycle has 3 wheels and 2 pedals

EQ 1 : 2b + 2t = 170 pedals

 EQ 2: 2b +3t = 206 wheels

subtract  EQ 1 from EQ 2

2b +3t = 206 - 2b + 2t = 170 = t=36

 there were 36 tricycles

36 x 2 = 72 pedals

170 pedals - 72 = 98 pedals left
98/2 = 49 bicycles

36 Tricycles and 49 bicycles




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Answer:

\huge\boxed{y=-\frac{1}{7}x+ 10}

Step-by-step explanation:

In order to find the equation of this line, we need to note two things.

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So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.

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So the slope of this line will be -\frac{1}{7}. The y-intercept will change, and we can substitute what we know into the equation y=mx+b.

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Now, we can substitute a point on the graph (14, 8) into this equation to find b.

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Now that we know the y-intercept, we can finish off our equation by plugging that in.

y = -\frac{1}{7}x + 10

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