6x-1=4x+6
subtracting 4x from each side
2x-1=6
adding 1 to each side
2x=7
divide by 2
x=7/2 or 3.5
check: 6(7/2) -1 =4(7/2)+6
21-1 =14+6
20=20 correct
36/54 = 2/3
24/36 = 2/3
16/24 = 2/3
<span>common ratio for the geometric sequence is : 2/3</span>
Answer:
Commutative
Step-by-step explanation:
There are four basic property of operations to solve an algebraic expressions. They are associative, commutative, distributive and identity.
The expression given is : 
So the given algebraic expression is a commutative property of operations. The commutative property states that when any two numbers are added in an expression the sum of the numbers are the same regardless of the order of the numbers that are added.
Thus the sum of the above expression will be same in which ever order the numbers are added.
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Find Sales Price of 5 gallons of ice-cream:
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Sales price of Fruity Tooty = $6.00
Sales price of Peanut Butter = $5 x 2 = $10.00
Sales price of Rocky Road = $5.25 x 2 = $10.50
Total Sales Per 5 gallon = $6 + $10 + $10.50 = $26.50
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Find Variable Cost of 5 gallons of ice-cream:
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Variable Cost of Fruit Tooty = $5.25
Variable Cost of Peanut Butter = $4.50 x 2 = $9.00
Variable Cost of Rocky Road = $4 x 2 = $8.00
Total Variable Coast = $5.25 + $9 + $8 = $22.25
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Fixed Cost Given:
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Fixed Cost = $7500
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Define x:
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Let x be the number of 5 gallons that need to be sold to breakeven:
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Find x:
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26.50x = 7500 + 22.25x
26.50x - 22.25x = 7500
4.25x = 7500
x = 7500 ÷ 4.25
x = 1764.7 (Nearest tenth)
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Find the number of gallons of ice-cream needed:
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Total number of 5 gallons needed = 1764.7
Total gallons needed = 1764.7 x 5 =8823.5
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Answer: I sceam needs to sell 8823.5 gallons of ice cream to break even.
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