The price of gas in Bakersville is $2.10 per gallon and is increasing $0.20
per week. The price of gas in Springfield is $2.60 and is increasing $0.10 per
week. At this rate, how many weeks will it be until gas costs the same
amount per gallon in both cities?

5 weeks

Step-by-step explanation:

We are given the following information;

(increment per week is $0.20)

(Increment per week as $0.10 )

We are required to determine the number of weeks it will take for the prices to be the same in the two cities.

Assuming it will take n weeks for the prices to be the same, then

New price in Bakersville = $2.10 + $0.20n

New price in Spring field = $2.60 + $0.10n

Thus;

$2.10 + $0.20n = $2.60 + $0.10n

combining the like terms

0.10 n = 0.50

n = 5

   = 5 weeks

Therefore, it will take 5 weeks for the prices to be the same both cities

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

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step-by-step explanation: