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The cargo ship carries 6×10 by the power of 6 pounds of materials materials are packaged to load stage weigh 3000 pounds they determined that the total weight of the materials is 2×10 by the power of two as greatest power of one load is the correct use the drop-down menus to explain your reasoning

1 answer

It seems like you're discussing a scenario involving the weight of materials on a cargo ship and the logistics of packaging. Let's clarify the information you've provided:

  • The total weight of materials on the cargo ship is \(6 \times 10^6\) pounds.
  • Each package weighs 3000 pounds.
  • You mentioned that the total weight of the materials is \(2 \times 10^2\) as the greatest power of one load, which seems inconsistent with the total weight given.

Breakdown of the Situation:

  1. Total Weight of Materials: \(6 \times 10^6\) pounds is the total weight of the materials on the cargo ship.
  2. Weight of Each Package: 3000 pounds (or \(3 \times 10^3\) pounds) is the weight of each package.

To find out how many packages can be loaded onto the ship, we can divide the total weight by the weight of each package.

Calculation:

\[ \text{Number of packages} = \frac{\text{Total Weight}}{\text{Weight of Each Package}} = \frac{6 \times 10^6 \text{ pounds}}{3 \times 10^3 \text{ pounds}} \]

Calculating this:

  1. Divide the coefficients: \(\frac{6}{3} = 2\).
  2. Subtract the exponents: \(10^6 / 10^3 = 10^{6-3} = 10^3\).

So, the number of packages is:

\[ \text{Number of packages} = 2 \times 10^3 = 2000 \]

Clarification:

  • The statement regarding the total weight of the materials being \(2 \times 10^2\) seems incorrect within this context because it does not match the total weight of \(6 \times 10^6\) pounds.
  • The correct greatest power of one load calculated from the provided total weight is indeed related to the calculation above, confirming how many packages can be carried based on the weight per package.

Conclusion:

To clarify your reasoning using drop-down menus, you may want to consider selecting options related to:

  • Total Weight Summary: \(6 \times 10^6\) pounds.
  • Weight per Package: 3000 pounds.
  • Calculated Number of Packages: 2000 packages.
  • Verification of Powers: The calculation removes misunderstandings regarding \(2 \times 10^2\).

If you have specific options in drop-down menus, I can assist further in selecting the appropriate ones!