I hope this helps you
0,644
644/1000
161/250
42 less than x is -50 would be written as x - 42 = -50
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Define x :
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Let the width be x.
Width = x
Length = 2x + 5 // Length is 5ft longer than twice the width
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Formula for Perimeter :
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Perimeter = 2 (Length + Width)
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Find Width :
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58 = 2 ( 2x + 5 + x) // Substitute Length and Width into formula
58 = 2 (3x + 5) // Combine like terms
58 = 6x + 10 // Apply distributive property
48 = 6x // Take away 10 from both sides
6x = 48 // Switch sides. Make x the subject
x = 8 // Divide by 6 on both sides
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Find Length and Width :
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Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft
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Answer: The length is 21 ft and the width is 8 ft.
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By solving a system of equations, we will see that now there are 3.5kg of grapes on the basket.
<h3>How many kilograms of grapes are in the basket now?</h3>
Let's define the variables:
- x = kg of grapes on the box originally.
- y = kg of grapes on the basket originally.
We know that:
x = 2y
When we add 2kg to the basket, it has 0.5k more than the box, then:
y + 2 = x + 0.5
Then we have a system of equations:
x = 2y
y + 2 = x + 0.5
We want to solve this for y, then we can replace the first equation into the second one:
y + 2 = (x = 2y) + 0.5
y + 2 = 2y + 0.5
2 - 0.5 = 2y - y
1.5 = y
This means that, originally, there are 1.5 kg of grapes on the basket. And then we added 2kg, so now there are:
1.5kg + 2kg = 3.5kg
If you want to learn more about systems of equations:
brainly.com/question/13729904
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