Algebra problem....help plzzzzzzzzz?

1. Coin Problem. A vending machine contains dimes and quarters only. There are 4 more dimes than quarters. If X represents the number of quarters, write an algebraic expression in terms of X that represents the value of all the coins in the vending machine in cents. Simplify the expression.

2. Construction. A rectangular open-topped box is to be constructed out of 9- by 16-inch sheets of thin carboard by cutting x-inch squares out of each corner and bending the sides up. Express each of the following quantities as a polynomial in both factored and expanded form.

A. the area of cardboard after the corners have been removed.

B. The valume of the box.

Comments

  • 1. The number of cents in the dimes can be expressed as 10(x + 4).

    2. The area of the four cutouts can be expressed as 4x^2. The area of one sheet of the cardboard is 9*16. The long side of the box is (16 - 2x).

    That should be a good start.

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