Apple juice and cranberry juice have been mixed in the ratio 4: 5. if the price of apple juice is 45 cents per pint and the price of cranberry juice is $.08 per pint, what should the price of one pint of the mixture be?

$0.2444444444444

Step-by-step explanation:

Apple ($0.45/pint) and Cranberry ($0.08/pint) juices are mixed in the ratio of 4:5 to create a mixture.

4 pints of Apple (costing 4 x $0.45 = $1.80) and 5 pints of Cranberry (costing  5 * $0.08 = $0.40) are combined to produce 9 pints of mixture.

Therefore, 9 pints of mixture costs $1.80 + $0.40 = $2.20

Hence, 1 pint of mixture costs $2.20 / 9 = $0.244444 = 24 and 4/9 cents

- 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

step-by-step explanation:

their are no angles. sorry cant .