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Math  /  Algebra

QuestionIs p=3.6p=3.6 a solution to this equation? Video 15.4=2.45p15.4=2.45 p yes no Time elapsed Submit Questions answered
28 00 09 18 HR MIN SEC Smartsicore out of 100?100 ? 86

Studdy Solution

STEP 1

1. We are given the equation 15.4=2.45p 15.4 = 2.45p .
2. We need to determine if p=3.6 p = 3.6 satisfies this equation.
3. To verify, we will substitute p=3.6 p = 3.6 into the equation and check if both sides are equal.

STEP 2

1. Substitute p=3.6 p = 3.6 into the equation.
2. Calculate the right-hand side of the equation.
3. Compare the calculated value with the left-hand side.
4. Determine if p=3.6 p = 3.6 is a solution.

STEP 3

Substitute p=3.6 p = 3.6 into the equation 15.4=2.45p 15.4 = 2.45p .
15.4=2.45×3.6 15.4 = 2.45 \times 3.6

STEP 4

Calculate the right-hand side of the equation:
2.45×3.6=8.82 2.45 \times 3.6 = 8.82

STEP 5

Compare the calculated value 8.82 8.82 with the left-hand side 15.4 15.4 .

STEP 6

Since 8.82≠15.4 8.82 \neq 15.4 , the value p=3.6 p = 3.6 does not satisfy the equation.
The answer is no\boxed{\text{no}}.

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