Seattle star blends whole bean coffee worth $3.00 per pound to get 25 pounds of a coffee blend worth $3.50 per pound. how many pounds of both blends does she use?

Blend of Whole bean coffee used = 22.5 Ib

Blend of Half bean Coffee used = 2.5 lb

Correction in statement:

The problem statement is missing information. The proper statement is as follows:

Seattle Star blends whole bean coffee worth $3 per pound with half bean coffee worth $3.5 per pound to get 25 pounds of a coffee blend worth $3.05 per pound. How many pounds of each type of coffee does she use?

Step-by-step explanation:

Whole Bean Coffee = $3

Half Bean Coffee = $ 3.5

Amount of whole bean coffee in Pounds (lbs) = Y

Mixture amount of whole bean and half bean blend = 25 lbs

Amount of half bean coffee = 25-Y (lbs)

Total blended mixture = $3.05

Cost of mixture = Cost of whole bean coffee used + Cost of half bean coffee used

3.05 (25) = 3Y + 3.5 (25-Y)

76.25 = 3Y + 87.5 - 3.5 Y

76.25 - 87.5 = 3Y - 3.5Y

- 11.25 = - 0.5 Y

or

0.5 Y = 11.25

Y=

Y= 22.5 lb

Which is the amount of whole bean coffee.

Amount of half bean coffee = 25-Y = 25- 22.5 = 2.5 lb

So,

Blend of Whole bean coffee used = 22.5 lb

Blend of Half bean Coffee used = 2.5 lb

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

rauschg

rauschg · hand

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step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629