There are 40 grams of sugar in a 12 oz can of dr pepper. if your max intake of sugar permitted for the day is 25 grams, how much of the dr. pepper can you drink?

7.5 oz of the Dr Pepper can drink.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Given the statement: There are 40 grams of sugar in a 12 oz can of Dr Pepper.

Also, it is given If your maximum intake of sugar permitted for the day is 25 grams.

To find how much of the Dr. Pepper can you drink.

By definition of proportion:

Solve for x;

By cross multiply;

Divide both sides by 40 we get;

Therefore, 7.5 oz of the Dr pepper can drink.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form