The quantity of pounds of pencils that Jason gets, based on his sharing ratio, is <u>0.15 pounds</u>.
<h3>What is the sharing ratio?</h3>
The sharing ratio is the percentage or ratio that is held by a person out of the total value of the thing being shared.
Jason's share of the pencil can be determined by multiplying the total pencils in the box (1.5 x ¹/₂) by Jason's sharing ratio (¹/₅).
<h3>Data and Calculations:</h3>
Quantity of pencils bought = 1.5 pounds
Half of the pencils in a box = 0.75 pounds (1.5 x ¹/₂)
The pounds got by Jason from the box = <u>0.15 </u>(0.75 x ¹/₅)
Thus, the quantity of pounds of pencils that Jason gets is <u>0.15 pounds</u>.
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∛-512 = -8 . . . . . . . . . . matches the 3rd selection
The area of the garden is 74 square feet
<h3>How to determine the area of the garden?</h3>
The complete question is added as an attachment
From the attached figure, we have the following shapes and dimensions:
- Rectangle: 10 by 5 feet
- Trapezoid: Bases = 10 and 6; Height = 3
The rectangular area is
A1 = 10 * 5
Evaluate
A1 = 50
The area of the trapezoid is
A2 = 0.5 * Sum of parallel bases * height
This gives
A2 = 0.5 * (10 + 6) * 3
Evaluate
A2 = 24
The total area is
Total = A1 + A2
This gives
Total = 50 + 24
Evaluate
Total = 74
Hence, the area of the garden is 74 square feet
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The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Given that x + 8 = 15
Hence:
x + 8 - 8 = 15 - 8 (subtraction property of inequality)
x = 7
The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15
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