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Rewriite problem by either distributings...

Rewriite problem by either distributings or factoring and then solve. Question 3, 4, and 5 have no numbers in them, therefore, they can't be solved with a calculator.
Q. `(6times57)+(6times13)`=___

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The correct Answer is:
To solve the problem `(6 × 57) + (6 × 13)`, we will use the distributive property of multiplication over addition. Here are the steps: ### Step 1: Identify the common factor We can see that both terms in the expression have a common factor of 6. ### Step 2: Factor out the common factor Using the distributive property, we can factor out the 6 from both terms: \[ (6 × 57) + (6 × 13) = 6 × (57 + 13) \] ### Step 3: Simplify the expression inside the parentheses Now, we need to add the numbers inside the parentheses: \[ 57 + 13 = 70 \] ### Step 4: Multiply the result by the common factor Now we can substitute back into the expression: \[ 6 × (57 + 13) = 6 × 70 \] ### Step 5: Calculate the final result Now, we perform the multiplication: \[ 6 × 70 = 420 \] Thus, the final answer is: \[ \boxed{420} \] ---
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Knowledge Check

  • Laura can solve 6 math questions in 12 minutes. Working at the same rate, how many minutes would it take Laura to solve 5 math questions?

    A
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    B
    `9`
    C
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