A child has a bottle full of pennies, nickels, dimes, and quarters. There are six as many quarters as pennies, two times as many as nickels as pennies, and 5 times as many dimes as nickels. How many more dimes does the child have than nickels?

we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.

If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.

Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent

We solve the value of x by cross-multiplying the equation above.

Therefore, 336 students will enroll for a nursing program.

 Let the unknown length of the x. The resulting rectangle is shown below.

Then, we apply the Pythagoras theorem to find the value of x as:

The value of the unknown length is approximately 17.7 feet.

we convert the given value in yards to the cm by setting up the equation below.

2 yards is equal to 182.88 cm, which is approximately 180 cm.

The median of a data set is determined by arranging the numbers in ascending orders, and the median is the number the falls in the middle position.

-7, -4, 1, 3, 9

There are five numbers in the data set, and the median falls in the third position from either side. Thus, 1 fall in the third position.

The range of a data set is calculated as:

Range=MaximumValue−MinimumValue

From the given bar graph:

• The minimum number of goals scored is 0.
• The maximum number of goals scored is 5.

Thus, the range is:

5−0=5

 In this problem, we need to compare the number of dimes to quarters.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 6p

Number of nickels in the bottle = 2p

Number of dimes in the bottle =5(2p)=10p

Now relating dimes to nickels, we have

Thus, there are 5 times as many dimes as quarters in the box.

 We are asked to make w the subject of the formula.

First, we rearrange the equation by to ensure w is on the right hand of the equation.

Then, divide both sides by r

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of w is (x/ry)-(z/r).

To determine the number of sophomore students, follow these steps:

1. Identify the total number of students:

1,276

1. Identify the percentage of sophomores:

29%

1. Calculate the number of sophomores:

(29%×1,276) = (29/100× 1,276) = 370.04

1. Round to the nearest whole number:

370

We follow the order of operations to solve the given expression.

First, we start with the numerator and solve it as follows

[3(2+6*4)]

We start with multiplication in inner brackets, 6*4=24. The expression becomes

[3(2+24)]

Then, we conduct the addition of 2+24=26. Then, the expression becomes

[3(26)]=3*26=78

Now, we solve for denominator, which is 26/2=13.

Thus, the expression is reduced into

\(\frac{[3(2+6\ast4)]}{(26\div2)}=\frac{78}{13}=6\)

The expression reduces into 6.

 the percentage change in weight is found by calculating change in weight over original multiplied by 100%.

First, find the change in weight over the 3 months

Change in weight lost= 1860-130=30 lb

Thus

The percent change in weight is 19% to the nearest whole number.