B>a
<span>b=3a-22, b+2a=98, using b from the left in the right: </span>
<span>3a-22+2a=98 </span>
<span>5a-22=98 </span>
<span>5a=120 </span>
<span>a=24, and since b=3a-22, </span>
<span>b=50 </span>
<span>So the smaller number is 24 and the larger number is 50.</span>
Answer:
3.41 feet
Step-by-step explanation:
Area = Length × Breath
Area of the rectangular lawn = 100 × 50
= 5000 feet²
The sidewalk must occupy an area no more than 10% of the total lawn area.
So, the area of the sidewalk would be not more than = 10% × 5000
= 0.10 × 5000
= 500 feet²
Let the width of the sidewalk = x feet
area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)
(100 × x) + ((50 - x) × x) < 500
100x + (50-x)(x) < 500
-x² + 150x < 500
-x² + 150x = 500
-x² + 150x - 500 = 0
By using quadratic formula
or
x = 3.41089 ≈ 3.41 feet or x = 146.58
Therefore, width of the sidewalk would be 3.41 feet.
<span>C) buyers are aware of the accurate measurements of the property.
A residential survey is also known as a boundary survey and is used to determine the boundaries of a piece of property. It is generally required as part of the process of building new construction on a property to insure that the construction doesn't cross the property line and intrude on someone else's property. With this in mind, only option "C" reflects what a residential survey is.</span>
Answer:
The weight of large and small box are 18.25 kg and 13.25 kg respectively.
Step-by-step explanation:
Let the weight of large and small box are x and y respectively.
It is given that a delivery of 5 large boxes and 3 small boxes has a total weight of 131 kilograms.
.... (1)
A delivery of 2 large boxes and 6 small boxes has a total weight of 116 kilograms.
.... (2)
On solving (1) and (2) using graphing calculator, we get
Therefore the weight of large and small box are 18.25 kg and 13.25 kg respectively.
Step-by-step explanation:
13040000
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