34k+(6.3−8.1k)÷0.9=22

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

8 0

We have been given an equation $34k+(6.3-8.1k)\div 0.9=22$ . We are supposed to solve our given equation for k.

We can rewrite our given equation as:

$34k+\frac{6.3-8.1k}{0.9}=22$

Let us multiply both sides of equation by 0.9.

$34k\cdot 0.9+\frac{6.3-8.1k}{0.9}\cdot 0.9=22\cdot 0.9$

$30.6k+6.3-8.1k=19.8$

$22.5k+6.3=19.8$

$22.5k+6.3-6.3=19.8-6.3$

$22.5k=13.5$

$\frac{22.5k}{22.5}=\frac{13.5}{22.5}$

$k=0.6$

Therefore, the value of the k is 0.6.

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Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation. Write a mult

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decrease in temperature if you hike up the mountain 3000 meters is $-30$ ° .

<u>Step-by-step explanation:</u>

Here we have , Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation . We need to find Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters. Let's find out:

For every 1000 meters rise in elevation , there is decrease in 10° of temperature . So , For rise in n meters in elevation , there is decrease in n×10° of temperature i.e

Decrease in temperature = (n/1000)×(-10) i.e.

⇒ (n/1000)×(-10)

⇒ $\frac{n}{1000}(-10)$