Jewel has 20 apples and 16 bananas they she wants to arrange in baskets. there needs to be the same number of apples and bananas in each basket. what is the greatest number of baskets she can make? how many apples and bananas will be in each basket?

16 baskets

Step-by-step explanation:

As it is necessary to have equal number of apples and bananas in each basket, the greatest number of baskets Jewel can make will be 16 baskets.  Each basket will have one apple and one banana.

Of course she can also put 4 apples and four bananas in one basket four times.  This will make a total of four baskets containing 4 apples and four bananas.  Or five baskets containing 3 apples and 3 bananas, and so, but 16 is the greatest number of baskets she can make, carrying only one apple and one banana

i pretty sure it is

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.