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.
Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
You left out the 9 in the whole equation. The 1st step you had right you just forgot to put +9. 2nd step you are combining the like terms and get 11-26x=-34x+40. Step 3: you are trying to isolate the x on one of the sides. You need to switch the 11 over to the 40 and get 29. Move -34x over to -26x and get 8x. Step 4 all you are doing in dividing 8 from both sides and get 5.