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blondinia [14]
3 years ago
11

Write in km/h a speed of 18 km in 10 min

Mathematics
1 answer:
Elodia [21]3 years ago
5 0
1h=60min\to1min=\frac{1}{60}h\\\\\frac{18\ km}{10\ min}=\frac{18}{10}\ km/min=1.8\ km/min=1.8\times\frac{km}{\frac{1}{60}\ h}=(1.8\times60)\ km/h\\\center=\boxed{108\ km/h}
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Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)
Paha777 [63]

Answer:

(1\frac{1}{15},3\frac{5}{12})

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are 4 \frac{1}{3} and -2\frac{1}{5}.

The y's are 3\frac{1}{6} and 3\frac{2}{3}.

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}

Write as improper fractions:

\frac{\frac{13}{3}+\frac{-11}{5}}{2}

Division by 2 is the same as multiplying by 1/2:

\frac{13}{6}+\frac{-11}{10}

The least common multiple of 6 and 10 is 30.  We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

\frac{65}{30}+\frac{-33}{30}

Now that the bottoms are the same we can write as one fraction:

\frac{65+-33}{30}

Simplify:

\frac{32}{30}

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

1\frac{2}{30}

Reduce by dividing top and bottom by 2:

1\frac{1}{15}

Now for y:

\frac{3\frac{1}{6}+3\frac{2}{3}}{2}

Write the mix fractions as improper fractions:

\frac{\frac{19}{6}+\frac{11}{3}}{2}

Dividing by 2 is the same as multiplying by 1/2:

\frac{19}{12}+\frac{11}{6}

The least common multiple of 12 and 6 is 12 so I'm going to multiply the second fraction by 2/2 so the denominators will be the same:

\frac{19}{12}+\frac{22}{12}

Since the denominators are the same we can write as a single fraction:

\frac{41}{12}

How many 12's are in 41? 3 and so the remainder is 41-3(12)=41-36=5.

3\frac{5}{12}

So the midpoint is:

(1\frac{1}{15},3\frac{5}{12}).

6 0
3 years ago
Read 2 more answers
Can you help me with the last four? Thanks!!!
Umnica [9.8K]
Yeah i will dude or dudet ask away
5 0
3 years ago
If (fx)=5x, what is f^-1(x)
zysi [14]

Answer:

x/5

Step-by-step explanation:

To get the inverse function you need to leave the x alone and then switch variables ( f(x) = y)

f(x) = 5x

y = 5x

y/5 = x

Now that x is alone you switch the x for y and the y for x and you get:

x/5 = y

And this new y is the inverse function of f(x) ( f^-1(x))

f^-1(x) = x/5

6 0
3 years ago
If a radius of a circle is perpendicular to a chord, then it _____ that chord.
labwork [276]
The answer is b. There is a proof, but it is easily got by proving the other cases wrong.
5 0
3 years ago
Read 2 more answers
Write 10 x 10 x 10 x 10 x 10 with an exponent.<br> 10 x 10 x 10 x 10 x 10 =
lakkis [162]

Answer:

10^5

Step-by-step explanation:

Exponents are basically just saying how many times the number is multiplied by itself.

In the expression 10\cdot10\cdot10\cdot10\cdot10, we can see that 10 is being multiplied by itself 5 times.

So the exponent becomes 5, and the base is 10.

10^5.

Hope this helped!

7 0
3 years ago
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