Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters.

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

Step-by-step explanation:

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)

⇒

At n = 3000 meters:

⇒

⇒

⇒ °  

Therefore ,  decrease in temperature if you hike up the mountain 3000 meters is  ° .

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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