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Write down an algebraic expression for each of the following statements.

A. Subtract the cube root of the product of x and 3y from the square of the sum of a and b.

B. The total value of x 20-cent coins and y 5-dollar notes in cents.

Sagot :

Zezimaidn

Answer:

A)  [tex](a+b)^{2}- \sqrt[3]{x . 3y}[/tex]

B) 20 x + 500 y

Step-by-step explanation:

A. Subtract the cube root of the product of x and 3y from the square of the sum of a and b.  

A = The square of the sum of a and b is  [tex](a+b)^{2}[/tex]

B = The cube root of the product of x and 3y is  [tex]\sqrt[3]{x . 3y}[/tex]

They want us to subtract B from A so B - A, therefore the following.

[tex](a+b)^{2}- \sqrt[3]{x . 3y}[/tex]

B. The total value of x 20-cent coins and y 5-dollar notes in cents.

20x cents is already provided as they want the expression in cents. Moving on to the $5 dollar note. We will have to convert this $5 into cents in order to fulfill the question requirements.

Convert:

1 dollar = 100 cents

5 dollars = 100x5 = 500 cents

Therefore, 5y dollars = 500y cents. Finally, we end up with the following answer.

20 x cents + 500 y cents

20 x + 500 y

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