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3 years ago

WILLL MARK BRAINLIST...... 4.71 x 0.2 I NEED STEP BY STEP ON HOW TO SOLVE

Mathematics

1 answer:

OverLord2011 [107]3 years ago

8 0

Answer:

Put 4.71 over 0.2 and make sure to line up the decimal.

4.71

x 0.2

.542

Step-by-step explanation:

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Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

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3 years ago

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Answer:

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Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%5Csqrt%7B60%7D%20%2F%5Csqrt%7B5%7D%20%28in%20radical%20form%29" id="TexFormula1" title="\sqrt

FinnZ [79.3K]

$2\sqrt{3}$

------------------------

Steps:

1st write out equation

$\frac{\sqrt{60}}{\sqrt{5}} \\$

Second write the conjugant and multiply it.

$\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }$

After multiplying you should get,

$\frac{10\sqrt{3}}{5}$

now after simplifying you should get

$2\sqrt{3}$

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3 years ago