A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and yellow paint are needed to make 21 pints of the green paint? A. 12 pints of blue paint and 3 pints of yellow paint B. 9 pints of blue paint and 12 pints of yellow paint C. 16 pints of blue paint and 9 pints of yellow paint D. 12 pints of blue paint and 9 pints of yellow paint

D

Step-by-step explanation:

The sum of the ratios = 4 + 3 = 7

The ratio of blue paint to the total paint = 4/7

The ratio of yellow paint to the total paint = 3/7

Pints of blue paint needed to make  21 pints of the green paint = 4/7 x 21 = 12 pints

Pints of yellow paint needed to make  21 pints of the green paint = 3/7 x 21 = 9 pints

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

.95

step-by-step explanation: