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 gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.

Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.

 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).

A dependent variable changes with any change made in an independent variable. From this case, cost of meals depends on other three options. In other words, the quantity of meal, number of toppings, and types of spices influence the cost of the meal.

 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.

 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 are asked to find the number of cups of flour that will be used to make 130 cookies.

First, we convert 3 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 64, the above equation result to

Thus, the number of cups of flour needed to make 130 cookies is 845/128 cups, which is equal to 6 77/128 cups.

The range is a simple measure of statistical dispersion that shows the spread between the highest and lowest values in a data set.

Formula for Range:

Range=MaximumValue−MinimumValue

Example Calculation:

From the given box plot:
Identify the maximum value: 92

1. Identify the minimum value: 12
2. Subtract the minimum from the maximum: 92−12=80

Thus, the range of this data set is 80.

To estimate the total amount, round each price to the nearest dollar:

1. Hat: $19.49 → $19 (since 0.49 rounds down)
2. Shirt: $21.49 → $21 (since 0.49 rounds down)
3. Shoes: $59.99 → $60 (since 0.99 rounds up)

Now, add the rounded values:

19+21+60=10019 + 21 + 60 = 10019+21+60=100

percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.

The decimal form of 58.7% is 0.587.

A standard six-sided die has the numbers 1, 2, 3, 4, 5, and 6. The even numbers are 2, 4, and 6.

Step 1: Probability of rolling an even number on the first roll

There are 3 even numbers out of 6 total numbers, so:

P (evenonsecondroll) = 3/6 = ½

Step 2: Probability of rolling an even number on the second roll

Since rolling the die is an independent event, the probability remains:

P (evenonsecondroll) = 3/6 = ½

Step 3: Multiply the probabilities

P (evenonfirstANDevenonsecond) = ½ × ½ = ¼