To find 40% of 75, Priya calculates 25â‹…75 . Complete the statement about whether her calculation gives the correct value for 40% of 75. Her calculation is , 1 of 4. Select Choice because 25 and 40% are , 2 of 4. Select Choice . b. If x represents a number, complete the statement about whether 25â‹…x always represents 40% of that number. , 3 of 4. Select Choice because 25 are 40% are 4 of 4. Select Choice .

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Answer:

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Step-by-step explanation:

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Given

[tex]Expression = 40\% * 75[/tex]

[tex]Priya = \frac{2}{5} * 75[/tex]

Required

Is Priya correct?

We start by simplifying the expression.

[tex]Expression = 40\% * 75[/tex]

Express 40% as fraction

[tex]Expression = \frac{40}{100} * 75[/tex]

Simplify fraction: Divide numerator and denominator by 20

[tex]Expression = \frac{40/20}{100/20} * 75[/tex]

[tex]Expression = \frac{2}{5} * 75[/tex]

By comparing:

[tex]Expression = \frac{2}{5} * 75[/tex]

and

[tex]Priya = \frac{2}{5} * 75[/tex]

We can conclude that Priya is correct because:

[tex]40\% = \frac{2}{5}[/tex]