Dakota mixes two cereals for breakfast. One gram of Cereal A has 6 milligrams of sodium and 7 calories. One gram of Cereal B has 8 milligrams of sodium and 5 calories. She wants the bowl of
cereal to contain no more than 200 milligrams of sodium and 150 calories. Let a equal the number of
grams of Cereal A and b equal the number of grams of Cereal B, where a > 0 and b > 0. Which system
of inequalities represents the possible ways Dakota can mix the cereals?
ба + 7b < 200
Sa + 5b < 150
6a + 3b < 200
7a +55 < 150
6a + 86 < 200
7a + 56 < 150
6a + 76 < 200
8a +56 <150

What is the expression in factored form? -20x^2 - 12x a. 4x(5x+3) b. -4x(5x-3) c. -4(5x+3) d. -4x(5x+3)

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

The data set represents the ages of players in a chess club. 27, 34, 38, 16, 22, 45, 54, 60. what is the mean absolute deviation of the data set?