Volunteers at an animal shelter are building a rectangular dog run so that one shorter side of the rectangle is formed by the shelter building as shown. They plan to spend between $100 and $200 on fencing for the sides at a cost of $2.50 per ft. Write and solve a compound inequality to model the possible length of the dog run.
Answers
Answer:
20 ≤ L + W ≤ 40
Step-by-step explanation:
[answer is marked by ** symbol]
The perimeter (P) of a rectangle is given by the formula:
P = 2L + 2W
In this case, you want to spend between $100 and $200 on fencing, and the cost is $2.50 per foot. So, you can write the cost equation as:
Cost = 2.50 (2L + 2W)
Now, you want the cost to be between $100 and $200, which leads to a compound inequality:
$100 ≤ 2.50 (2L + 2W) ≤ $200
Now, divide each part of the compound inequality by 2.50 to isolate the expression (2L + 2W):
$100 / 2.50 ≤ 2L + 2W ≤ $200 / 2.50
40 ≤ 2L + 2W ≤ 80
Now, divide each part by 2 to find L + W:
**20 ≤ L + W ≤ 40
**This compound inequality models the possible length of the dog run. It states that the length plus the width of the dog run must be between 20 feet and 40 feet to stay within the budget of $100 to $200 for fencing.
Write and solve a compound inequality to model the possible length of the dog run.
The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥
200
And the possible length of the dog run is 80ft.
Minimum spending = $100
Maximum spending = $200
Cost per square feet = $2.50
let
× = possible number of square feet
Minimum spending = $100
Maximum spending = $200
Cost per square feet = $2.50
let
× = possible number of square feet
The inequality:
100 ≤ 2.50× ≥ 200
This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200
solve:
100 < 2.50× ≥ 200
divide the inequality into 2
100 < 2.50x
× ≤ 100/2.5
× ≤40
the other part:
2.50x ≥ 200
× ≥ 200/2.50
× ≥ 80
Therefore,
the possible length of the dog leash is 80
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a. S159,744.59
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Answer: Option A
Step-by-step explanation:
Need to find out the amount present in the account after 20 years. The formula to find out the future value is,
Here
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r : rate of interest = = 0.0275
n : 12(compound monthly)
t : time =20
By substituting all the given datas in the above equation, we get
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then we have 3x boys.
We know that all children are boys+girls, so x+3x, which is 4x and 4x is 48, so one x is 12.
So there are 12 girls and 36 boys.
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293 = 1 × 293
Answer:
nice
Step-by-step explanation:
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0.06
0.16
0.60
0.66
Now order them from least to greatest by each place
0.06, 0.16, 0.60, 0.66
(LOL, you TYPED them least to greatest!)
Hope I helped! (Pick me as brainliest!)