Use long division to find a repeated decimal equivalency for the fraction. Include all of your work as part of your final answer

Answer:

c = 13d

Step-by-step explanation:

We begin with:

4d=1/3(c-d)

Expanding this gives:

4d = 1/3c - 1/3d

Adding 1/3d to each side results in:

4d + 1/3d = 1/3c

Combining 4d and 1/3d yields:

12d+d/3 = 1/3c

Then, we simplify to get:

13/3d = 1/3c

To isolate c, we rearrange:

c = 13/3d ÷ 1/3

Which further simplifies to:

c = 13/3d × 3/1

Thus, the final result is:

c = 13d

Answer:

Step-by-step explanation:

Both Boxplots A and B have the same lower quaratile ranges well as the same median. However the old system had a larger upper quartile range,whilst the upper quaratile range of Box plot B was shorte.r

Answer:

The angle opposite to the side measuring 3.1 is x

The triangle shown in the attached figure

Step-by-step explanation:

It is established that

In a right triangle, the tangent of angle x is defined as the ratio of the length of the side opposite angle x to that of the adjacent side

In this case, we have

Thus

The side opposite to angle x has length 3.1 units

The side adjacent to angle x has a length of 5.2 units

The angle opposite the side measuring 3.1 is x

Please see the attached figure for additional clarity on the problem

For this inquiry, we are presented with a graph, and we're tasked with determining the x-coordinate of where the two lines intersect.

An examination of the graph indicates that the input value is around 3.3.

In the graph,

To derive g(x), we need the slope and y-intercept.

The slope represents the ratio of vertical change to horizontal change.

In this case, the rise is 3 units and the run is 2 units. The line intersects the y-axis at -2.

Thus, the equation for g(x) becomes

Next, we will perform

Substituting the values of both functions will yield

By adding 2 to both sides, we have

We will apply cross multiplication

Thus, the approximate input value is 3.3.