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Jose bought f folders that cost $0.35 each and m markers that cost $0.25 each. Sales tax is 9%. Which expression represents the total amount Jose paid, including tax? 1.09(f+m) 0.35(0.09 f)+0.25(0.09 m) (0.35 f+0.25 m)+0.09(0.35 f+0.25 m) 1.09(0.35+0.25)

Jose bought f f folders that cost $0.35 \$ 0.35 each and m m markers that cost $0.25 \$ 0.25 each. Sales tax is 9% 9 \% . Which expression represents the total amount Jose paid, including tax?\newline1.09(f+m) 1.09(f+m) \newline0.35(0.09f)+0.25(0.09m) 0.35(0.09 f)+0.25(0.09 m) \newline(0.35f+0.25m)+0.09(0.35f+0.25m) (0.35 f+0.25 m)+0.09(0.35 f+0.25 m) \newline1.09(0.35+0.25) 1.09(0.35+0.25)

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Full solution

Q. Jose bought f f folders that cost $0.35 \$ 0.35 each and m m markers that cost $0.25 \$ 0.25 each. Sales tax is 9% 9 \% . Which expression represents the total amount Jose paid, including tax?\newline1.09(f+m) 1.09(f+m) \newline0.35(0.09f)+0.25(0.09m) 0.35(0.09 f)+0.25(0.09 m) \newline(0.35f+0.25m)+0.09(0.35f+0.25m) (0.35 f+0.25 m)+0.09(0.35 f+0.25 m) \newline1.09(0.35+0.25) 1.09(0.35+0.25)
  1. Calculate Folder Cost: First, we need to calculate the total cost of the folders without tax. Since each folder costs $0.35\$0.35 and Jose bought ff folders, the total cost for folders is 0.35f0.35f.
  2. Calculate Marker Cost: Next, we calculate the total cost of the markers without tax. Each marker costs $0.25\$0.25 and Jose bought mm markers, so the total cost for markers is 0.25m0.25m.
  3. Calculate Total Cost: Now, we add the total costs of folders and markers to get the total cost before tax. This is (0.35f+0.25m)(0.35f + 0.25m).
  4. Calculate Total Cost with Tax: Sales tax is 9%9\%, which is 0.090.09 in decimal form. To find the total cost including tax, we multiply the total cost before tax by 11 plus the tax rate. The expression for this is (1+0.09)(0.35f+0.25m)(1 + 0.09)(0.35f + 0.25m).
  5. Simplify Expression: Simplify the expression by distributing the tax rate. This gives us (1.09)(0.35f+0.25m)(1.09)(0.35f + 0.25m), which is the total cost including tax.

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