5/11 = 18/y
5 y = 18 · 11
5 y = 198
y = 198 : 5
y = 39.6
OK. I did it, and I have the solution.
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The length of the deck is (5 + 2x) .
The width of the deck is (4 + 2x) .
If the deck didn't have that big hole in the middle where the pool is,
then its area would be
(5 + 2x) · (4 + 2x) .
When you multiply that all out, you get Area = 4x² + 18x + 20
and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write
4x² + 18x + 20 = 90 .
Subtract 90 from each side: 4x² + 18x - 70 = 0
Divide each side by 2 : 2x² + 9x - 35 = 0
You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
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That makes the deck 10 yds high and 9 yds wide.
Total area of the whole big rectangle, (deck + pool ), = 90 yds².
Answer:
Step-by-step explanation:
Hello,
<u>The mean of five numbers is 8</u> so we can write
<u>When another number is added the mean is 7</u>, let s note x the another number we can write
From the first equation we can say
So the second equation becomes
The solution is then 2
Hope this helps
