Select all the fractions that are represented by a repeating decimal .
1 answer:
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Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
Answer:
The selling price of the agenda book is $6.38 to the nearest cent.
Step-by-step explanation:
Assume that the cost price of the agenda book is 100%
∵ The discount is 15%
∵ The selling price = the cost price - discount amount
∴ The selling price = 100% - 15%
→ That means the selling price is 85% of the cost price
∵ The cost price = $7.50
∴ The selling price = 85% × 7.50
→ Change 85% to a number by divide it by 100
∴ The selling price = × 7.50
∴ The selling price = 6.375
→ Round it to the nearest cent (2 d.p)
∴ The selling price = $6.38
∴ The selling price of the agenda book is $6.38 to the nearest cent.