The Corner Bakery makes many cupcakes each day. On Tuesday 1/4th of the cupcakes were chocolate and 5/8 of the cupcakes were vanilla. How many more cupcakes were vanilla?

3/8 vanilla cupcakes more than chocolate cupcakes

Step-by-step explanation:

Given that:

Chocolate cupcakes = 1/4 of cupcakes

Vanilla cupcakes = 5/8 of cupcakes

How many more cupcakes were vanilla?

(fraction of vanilla cupcakes - fraction of chocolate cupcakes)

(5/8 - 1/4)

Take the lowest common factor ; 8

(5 - 2) / 8

= 3 /8

Hence, vanilla cupcakes is 3/8 more than chocolate cupcakes.

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step-by-step explanation:

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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.