A child has collected 50 pennies, 40 nickels, 25 dimes, and 5 quarters. Which of the following charts accurately organizes the number of coins?

Chart 1

Chart 2

Chart 3

Chart 4

We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

The equivalent value of 55kg is 121 lb.

Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.

notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk. If we let the x be the number of cups of milk needed, then

As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.

The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.

-6, -4, 1, 8, 12

There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.

we need to find the circumference of the circle from the given area.

The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to be  9 in, the circumference of the circle becomes,

  in.

The scientist found that as water temperature increases, the fish population decreases. This means that the two variables move in opposite directions—when one increases, the other decreases.

This type of relationship is called a negative correlation.

To answer this question, we need to convert the numbers into a similar form. Converting decimal numbers into fraction is appropriate to finding the greatest number.

-0.9 becomes 9/10

-1.9 becomes 19/10

Now we find the LCM of the denominators of the four fractions. The LCM of 5, 10 and 3 is 30. Multiply each fraction with the LCM to compare the fractions.

-3/5*30=-18

-9/10*30=-27

-19/10*30=-57

-8/3*30=-24

The greatest number is -18, meaning -3/5 is the greatest number.

By inspection, we find the corresponding values of the given denominations in the following manner.

We are given the equation:

6x−5=10x+15

Step 1: Move all xxx-terms to one side

Subtract 6x from both sides:

−5=10x−6x+15

Step 2: Move constants to the other side

Subtract 15 from both sides:

−5−15=4x

−20=4x

Step 3: Solve for x

Divide both sides by 4:

x=−20/4 = −5

A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.