The difference of the fraction is
by using equivalent expressions.
<h3>What is a number line?</h3>
A number line is a diagrammatic representation of real numbers on the graduated line. It ranges from negative axis to positive axis with 0 being the center position.
A sketch showing the representation of the difference in the mixed fractions can be seen in the image attached below.
Using equivalent expressions to determine the difference between the mixed fractions, we have;




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Let n represent the amount Colin earned on Sunday.
On Sat. he earned n/2; on Sun. he earned n; and on Friday he earned (1/2)(n/2).
Then n/2 + n + n/4 = $70
Mult. all terms by 4 to eliminate fractions:
2n + 4n + n = $280
7n = $280 => n = $40
Colin earned n/2, or $20, on Saturday; n, or $40, on Sunday; and n/4, or $10, on Friday.
Note that $20 and $40 and $10 add up to $70, as they must.
Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° = 
tan60° =
=
=
( multiply both sides by 6 )
opp = 6
, then
d₂ = 2 × 6
= 12
Thus
A =
× 12 × 12
= 6 × 12
= 72
Answer:30 feet.
Step-by-step explanation: 2 doubled is four and in the bigger triangle it says 5. Therefore 12 doubled and a bit more is 30
Answer:
20
Step-by-step explanation:
Given :
Length = l
Width = w
Area of square = 45
Let side of square = x
Area of square = x²
45 = x²
√45 = x
l of rectangle = x + 5 = √45 + 5
w of rectangle = x -5 = √45 -5
Area of rectangle= l * w
Area = (√45 + 5) * (√45 - 5)
Area = 45 - 5√45 + 5√45 -25
Area = 45 -25
Area of rectangle = 20