Try finding what x is first from the second equation. Then plug in the answer
Atticus will spend $1.60 on wrapping paper.
Step-by-step explanation:
Given,
Cost of paper per yard = $2.40
Atticus wants to buy = 2/3
Cost of 2/3 yards of paper = 
Cost of 2/3 yards of paper = 
Cost of 2/3 yards of paper = $1.60
Atticus will spend $1.60 on wrapping paper.
Keywords: division, fraction
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<u>The overall </u><u>algebraic expression</u><u> will be: </u>
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Definition of algebraic expression -
An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
Five times the sum of a number and eleven, divided by three times the sum of the number and eight.
Let the number be x.
Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:
5(x + 11)
Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:
3(x + 8)
So, the overall <u>algebraic</u> expression will be: 
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I)
8 - 3x = 23
-3x = 15
x = -5
ii)
5x - 16 = 34
5x = 50
x = 10
iii)
2 - 5x = -3
-5x = -5
x = 1
Answer:
3.83
Step-by-step explanation:
Mean of x = Σx / n
Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2
Sum of square (SS) :
(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8
Mean of y = Σy / n
Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2
Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8
df = n - 2 = 5 - 2 = 3
Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6
√(Σ(y - ybar)² / df) = √1449.6 = 38.074
Standard Error = √(Σ(y - ybar)² / df) / √SS
Standard Error = 38.074 / √98.8
Standard Error = 3.83