After running for 18 minutes, Julissa completes 2 kilometers. If she is running a 10-kilometer race at a constant pace, then she comletes 1 kilometer after running 9 minutes. Now you can find the distance she run after 1 minute. This is $\dfrac{1}{9}$ km.

Let t be the time in minutes. Then k, the number of kilometers, can be found from proportion:

$\dfrac{1}{9}\ km$ - 1 minute

k km - t minutes.

Thus,

$\dfrac{\dfrac{1}{9}}{k}=\dfrac{1}{t},\\ \\k=\dfrac{1}{9}\cdot t.$

Answer: $k=\dfrac{1}{9}\cdot t.$

7 0

3 years ago

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A sculptor needs to lift a piece of marble.

Dennis_Churaev [7]

Answer:

486kg

Step-by-step explanation:

density = mass / volume

2.7 = m / (100 x 60 x 30) **** Note the conversion to cm as the density is given in g/cm.

2.7 = m / 180000

m = 486000g

Now convert to mass in kg:

486000 g x 1 kg / 1000 g = 486kg

4 0

3 years ago

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|-13|-(-3)to the 3rd power

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

7 0

3 years ago

How do you write 26.2 as a mixed number in simplest form

Arte-miy333 [17]

To write 26.2 as a mixed number in the simplest form, do the following:
26.2 = 26 + 0.2
= 26 + 2/10

Note that
$\frac{2}{10}= \frac{2 \times 1}{2 \times 5} = \frac{1}{5}$

Therefore
$26.2 = 26 \, \frac{1}{5} \\$

Answer: $26 \, \frac{1}{5}$

7 0

3 years ago