Suppose the number of leaves z on a tree varies directly with the height of the tree y in yards and directly with the cube of the hours x of direct sunlight that the tree receives. if a tree that is 7 yards tall and receives 6 hours of direct sunlight has 6048 leaves on it, then how many leaves will be on a tree that is 2 yards tall but receives 11 hours of sunlight?

The number of leaves are 10648

Step-by-step explanation:

By the given information,

number of leaves be= z

height of tree= y

hours of sunlight= x

by the given conditions,

,where k is portionality constant.

now, z=6048, y=7 and x=6,

evaluating value of k using above conditions,

k=4

thus, using this value of k,

z= 10648.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

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