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astraxan [27]
3 years ago
12

Help with number 5 please

Mathematics
1 answer:
Goryan [66]3 years ago
6 0

Answer:

22,5 km

Step-by-step explanation:

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Joseph is running up and down the stadium stairs for exercise. Each step is 8 inches high and there are a total of 50 stairs. Jo
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The distance he has traveled vertically to the nearest yard in combined trip is 111 yards.

<em><u>Solution:</u></em>

Given that,

Each step is 8 inches high

There are a total of 50 stairs

So the height of 50 stairs is:

Height of 50 stairs = 50 x 8 = 400 inches

Joseph makes 10 round trips up and down the stairs

So, joseph has went up 10 times and he came down 10 times

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Therefore,

Number of times he went up = 10

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Therefore,

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The table shows some values of a function of the form y = ax2 + bx + c.
nadezda [96]

Answer:

  c = 5

Step-by-step explanation:

We can find a, b, c by filling in values from the table into the equation:

  17 = a(2²) +b(2) +c

  32 = a(3²) +b(3) +c

  53 = a(4²) +b(4) +c

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There are numerous ways to solve 3 linear equations in 3 unknowns. We can use elimination.

Subtracting the first equation from each of the other two, we get ...

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Subtracting twice the first from the second gives ...

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Now that we have a value for "a", we can "back substitute" into the equations to find "b" and "c".

Substituting this into 15 = ..., we get ...

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And substituting for "a" and "b" in the first original equation gives ...

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The value of c, the constant of the function, is 5.

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