There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.
at dealer 1, the total amount paid (y) will be a function of months (x):
y = 2500 +150x
at dealer 2, the corresponding equation is ...
y = 3000 +125x
These are equal when ...
y = y
2500 +150x = 3000 +125x
25x = 500 . . . . . . . . . subtract 125x +2500 from both sides
x = 500/25 = 20
The total paid will be the same after 20 months.
That amount is ...
y = 2500 +150(20) = 5500
$5500 will be paid to either dealer after 20 months.
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The other way to work the problem is to "cut to the chase". The difference in down payment is made up at the rate of difference in monthly payments. So The number of monthly payments (x) required to equal the difference in down payments is ...
25x = 500 . . . . . . . . . you may recognize this equation from above
First, convert those inches to feet. 7in =ish 0.5833333 (you find this by dividing 7/12 on a calculator) Now you just square 9.583333333 9.583333333^2 9.583333333 * 9.583333333 91.84027777ish Rounded to the nearest foot, means the answer is 92ft.
The length of the other two sides is 10 and 35 respectively.
<h3>What is a ratio?</h3>
A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.
From the given information:
The sides of the triangle = 2:7:8
The total sides of the triangle = 2+7+8 = 17
We are being told that the longest side is the triangle is equal to 40.
i.e.
x = 85
Now for the other two sides 2 and 7, their length is as follows.
Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.