What is the fraction for 6.-40>2

Mathematics
What is the fraction for 6.-40>2

ScanSolve AI Answer

Answer

448

Step 1: Find the total cost of the items costing 48.12,48.12, 48.20, and $48.00.

Formula: total cost = price1_1 + price2_2 + price3_3

Substitute: 48.12+48.20+48.0048.12 + 48.20 + 48.00

Add the dollars first: 48+48+48=14448 + 48 + 48 = 144

Add the cents: 0.12+0.20+0.00=0.320.12 + 0.20 + 0.00 = 0.32

Total cost = $144.32

Total cost: $144.32

Step 2: How much is 8% tax on the total cost.

Formula: tax = 0.08×0.08 \times total cost

Substitute: 0.08×144.320.08 \times 144.32

First compute 0.01×144.32=1.44320.01 \times 144.32 = 1.4432

Then 8×1.4432=11.545611.558 \times 1.4432 = 11.5456 \approx 11.55 (rounded to nearest cent)

Total to pay = 144.32+11.55=155.87144.32 + 11.55 = 155.87

Tax: 11.55Totalpayment:11.55** **Total payment: 155.87

Step 3: Add 146+302146 + 302 using expanded form (no units specified).

Write in expanded form:
146=100+40+6146 = 100 + 40 + 6
302=300+0+2302 = 300 + 0 + 2

Add hundreds: 100+300=400100 + 300 = 400
Add tens: 40+0=4040 + 0 = 40
Add units: 6+2=86 + 2 = 8

Combine: 400+40+8=448400 + 40 + 8 = 448

Sum: 448
448

Step 4: Simplify 4072\frac{40}{72} to test the statement k=4072=47k = \frac{40}{72} = \frac{4}{7}.

Formula: divide numerator and denominator by GCD(40,72) = 8

Substitute: 40÷872÷8=59\frac{40 \div 8}{72 \div 8} = \frac{5}{9}

Check: 590.556\frac{5}{9} \approx 0.556, 470.571\frac{4}{7} \approx 0.571 (not equal)

Statement is false.

\dfrac{5{9}}

Step 5: Cost for 30 min if $40 for 72 min.

Rate per min = 4072=59\frac{40}{72} = \frac{5}{9} dollars per min

Cost for 30 min: 59×30=1509=16.616.67\frac{5}{9} \times 30 = \frac{150}{9} = 16.\overline{6} \approx 16.67 dollars

**Cost: 16.67** \16.67

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Quick Answer

Find the total cost of the items costing 48.12, 48.20, and 48.00.

What is the fraction for 6.-40>2
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Find the total cost of the items costing 48.12, 48.20, and 48.00. Formula: total cost = price_1 + price_2 + price_3 Substitute: 48.12 + 48.20 + 48.00 Add the dollars first: 48 + 48 + 48 = 144 Add the cents: 0.12 + 0.20 + 0.00 = 0.32 Total cost = 144.32 Total cost: 144.32 Step 2: How much is 8% tax on the total cost. Formula: tax = 0.08 × total cost Substitute: 0.08 × 144.32 First compute 0.01 × 144.32 = 1.4432 Then 8 × 1.4432 = 11.5456 ≈ 11.55 (rounded to nearest cent) Total to pay = 144.32 + 11.55 = 155.87 Tax: 11.55 Total payment: 155.87 Step 3: Add 146 + 302 using expanded form (no units specified). Write in expanded form: 146 = 100 + 40 + 6 302 = 300 + 0 + 2 Add hundreds: 100 + 300 = 400 Add tens: 40 + 0 = 40 Add units: 6 + 2 = 8 Combine: 400 + 40 + 8 = 448 Sum: 448 448 Step 4: Simplify (40)/(72) to test the statement k = (40)/(72) = (4)/(7). Formula: divide numerator and denominator by GCD(40,72) = 8 Substitute: (40 ÷ 8)/(72 ÷ 8) = (5)/(9) Check: (5)/(9) ≈ 0.556, (4)/(7) ≈ 0.571 (not equal) Statement is false. (5)/(9) Step 5: Cost for 30 min if 40 for 72 min. Rate per min = (40)/(72) = (5)/(9) dollars per min Cost for 30 min: (5)/(9) × 30 = (150)/(9) = 16.6 ≈ 16.67 dollars Cost: 16.67 \16.67