An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured
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Answer: The length and width are 50 and 30 meters (or 30 and 50 meters).
Step-by-step explanation:
To solve this question, we can represent variables for the length and width in two equations.
To solve for one of the variables, you'll have to substitute one of the variables, so solve for one of them:
Now, we have a standard quadratic equation that we can factor. When factoring, you'll get this:
This tells us that the width could be either 50 or 30.
Substitute 50 into one of the equations to find the length:
2 (l) + 100 = 160
l = 30.
The length and width are 50 and 30 meters (or 30 and 50 meters).
Answer:
- 17.9% of men have a HS degree
- 50.5% of 2-yr degree earners were women
- 27.9% of the group has a 4-yr degree or higher
Step-by-step explanation:
It is convenient to use a spreadsheet to total the numbers for you. This reduces errors and put the numbers in a form that makes it easy to see what you're working with in any given calculation.
men with HS degree = (male HS)/(all male)
= 76/425 ≈ 0.1788 ≈ 17.9%
__
2-yr degrees that are women = (female 2-yr)/(2-yr total)
= 248/491 ≈ 0.5051 ≈ 50.5%
__
4-yr degrees in group = (4-yr degrees)/(total group)
= 258/925 ≈ 0.2789 ≈ 27.9%
_____
<em>Comment on the problem</em>
The spreadsheet is identical to the one used for your other problem. All that needed to be done was to enter the new numbers. The formatting, headers, and formulas remained the same. For solving these problems, it's a matter of picking the two numbers needed from the appropriate row or column and computing their ratio.
(The computations were done by hand here to better show you the numbers used and the rounding to tenth percent. They can be done in the spreadsheet with point and click.)
