Richard has four times as many marbles as john. if richard have 18 to john they would have the same number. how many marbles has each?

The number of marbles Richard has 24 and John has 6.

Step-by-step explanation:

Richard has four times as many marbles as john.

If Richard have 18 to John they would have the same number.

Now, to find number of marbles each has.

Let the marbles of John be .

And the marbles of Richard be

According to question:

Subtracting both sides by we get:

Dividing both sides by 3 we get:

Marbles of John =

Marbles of Richard =

Therefore, the number of marbles Richard has 24 and John has 6.

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.

answer: 0.1,0.85

step-by-step explanation: