Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s

4 multiplied by 2 equals 8

4 multiplied by 1.5 equals 6

2 multiplied by 1.5 equals 3

8 multiplied by 2 equals 16

2 multiplied by 6 equals 12

2 multiplied by 3 equals 6

16 plus 12 plus 6 totals 34 ft

Step-by-step explanation of the answer:

Sam allocated $48,000 with 6% interest and the remainder at 10%. He earned a total of $4,000 in interest over the course of one year, and now we need to determine the amount invested at each rate.

Let us denote the amount invested at 6% as .

This results in the 6% investment being $20,000 and the 10% investment totaling = (48000 - 20000) = $28,000

Answer:

• 2(x + 2) + 2 = 2(x + 3) + 1
• 2x + 3(x + 5) = 5(x – 3)
• 5(x + 4) – x = 4(x + 5) – 1

Step-by-step explanation:

To identify solutions, subtract the right side from both sides and simplify.

1. For 2(x + 2) + 2 = 2(x + 3) + 1

   Subtract right side: 2(x + 2) + 2 - (2(x + 3) + 1) = 0

   Simplify: 2x + 4 + 2 - 2x - 6 - 1 = 0

   Which results in -1 = 0, meaning no solutions.

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2. For 2x + 3(x + 5) = 5(x – 3)

   Subtract right side: 2x + 3(x + 5) - 5(x – 3) = 0

   Simplify: 2x + 3x + 15 - 5x + 15 = 0

   This leads to 30 = 0, no solutions again.

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3. Equation 4(x + 3) = x + 12

   Subtract right side: 4(x + 3) - (x + 12) = 0

   Simplify: 4x + 12 - x - 12 = 0

   Equals 3x = 0, so one solution: x = 0.

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4. Equation 4 – (2x + 5) = (–4x – 2)

   Subtract right side: 4 – (2x + 5) - (–4x – 2) = 0

   Simplify: 4 - 2x - 5 + 4x + 2 = 0

   Gives 2x + 1 = 0, meaning one solution: x = -1/2.

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5. Equation 5(x + 4) – x = 4(x + 5) – 1

   Subtract right side: 5(x + 4) – x - (4(x + 5) – 1) = 0

   Simplify: 5x + 20 - x - 4x - 20 + 1 = 0

   Results in 1 = 0, no solution here.