Answer:
n = 245/36
Step-by-step explanation:
Usually, these are solved in 2 steps:
- eliminate fractions by multiplying by the LCM of the denominators
- divide by the coefficient of the variable.
Doing that, we have ...
(49n)(36/49) = (49n)(5/n)
36n = 49·5 = 245 . . . . . simplify
n = 245/36 . . . . . divide by the coefficient of n
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Another way to do these is to rewrite the proportion with both sides inverted:
49/36 = n/5
Now, all you need to do is multiply by 5.
n = 5(49/36) = 245/36
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Or, you can do both of the original steps at the same time:
(49n/36)(36/49) = (49n/36)(5/n)
n = (49·5)/36 = 245/36
Inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less
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Solution:</u>
Given that
Maximum amount Jim can spend to rent a boat = $34
Rental cost of boat for 1 hour = $6
Also Jim has a discount coupon for $8 off.
Need to determine possible number of hours Jim could rent a boat.
Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"
Cost of renting boat for 1 hour = 6
So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t
Also Maximum amount Jim can spend to rent a boat = $34
As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44
So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat
=> 6t ≤ 44
On solving above equality for "t" we get ,

Hence inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less.