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Sophie [7]
3 years ago
12

Paul runs 4.8 km every morning. How many feet are in 4.8 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet?

Mathematics
2 answers:
never [62]3 years ago
7 0
There are <span>15 748.0315 feet  in 4.8 km.
Hope this helps!</span>
attashe74 [19]3 years ago
4 0

Answer:

15.751ft

Step-by-step explanation:

This is a conversion of units problem, so first you have 4.8 km and you need to convert it to feet.

First you take the quantity you need to convert:

4.8km

Then you put a factor, in the denominator you put the conversion factor with the same units that the number that you want to convert, that is:

4.8km*\frac{}{1.609km}

Then in the numerator you put the second unit that you have, in this case, the problem gives you that 1 mile = 1.609km, so:

4.8km*\frac{1mile}{1.609km}

Then, as the problem says that convert the 4.8km to feet, you put the next factor in the same way:

4.8km*\frac{1mile}{1.609km}*\frac{5280feet}{1mile}

Finally, you multiply the initial quantity and the numerators and divide by the denominators, and you have:

4.8km*\frac{1mile}{1.609km}*\frac{5280feet}{1mile}=\frac{25344}{1.609}ft

\frac{25344}{1.609}=15.751ft

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Are two products the same when you multiply them horizontally?
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HELP ASAP ...........
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Answer:

A

Step-by-step explanation:

Given

y - 2x - 8 = 0 ( add 2x + 8 to both sides )

y = 2x + 8 → (1)

y² + 8x = 0 → (2)

Substitute y = 2x + 8 into (2)

(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify

4x² + 32x + 64 + 8x = 0

4x² + 40x + 64 = 0 ( divide through by 4 )

x² + 10x + 16 = 0 ← in standard form

(x + 8)(x + 2) = 0 ← in factored form

x + 8 = 0 ⇒ x = - 8

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)

x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )

Calculate the length of PQ using the distance formula

PQ = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )

PQ = \sqrt{(-2-(-8))^2+(4-(-8))^2}

      = \sqrt{(-2+8)^2+(4+8)^2}

       = \sqrt{6^2+12^2}

       = \sqrt{36+144}

       = \sqrt{180}

       = \sqrt{36(5)}

       = \sqrt{36} × \sqrt{5}

        = 6\sqrt{5} → A

8 0
2 years ago
9x - 7x + 3y - 2y<br> X+ 5y
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Answer:

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Step-by-step explanation:

CLT

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