A class of 40 students has 18 boys and 22 girls. What is ratio of girls to boys in the class?

Let x be the original price of the recliner.

Step 1: Apply the 30% discount

The recliner is on sale for 30% less than the original price:

SalePrice=x−0.3x=0.7x

Step 2: Apply the 25% coupon discount

The consumer gets an additional 25% off the sale price:

FinalPrice=0.7x−0.25(0.7x) = 0.525x

Step 3: Solve for x

The consumer paid $237, so:

0.525x=237

​ x≈451.43x

Rounding to the nearest dollar, the original price is $451.

An independent variable is a change that when modified brings a change in other variables. In this case, the person increases his climbing rate, calories burned, distance traveled and energy used increases. Therefore, the walking speed is the independent variable while other variables are dependent.

The median of a data set is found in two ways:

For an odd data set, the median fall in the (N+1)/2 th position.

For an even data set, the median is the average of the element in the (N/2)th and (N+1)/2 th positions.

To find the median of the given data set, we need to arrange the elements from the smallest to the largest as follows:

12, 12, 16, 18, 19, 22, 23, 24, 26, 35, 35

There are 11 elements in the data set. 11 is an odd number and the median fall in the (N+1)/2 th position.

Median =(11+1)/2=12/2=6 th position.

From the organized data, the element in the 6th position is 22, which is the required median for the data set.

We solve for the value of x by following the order of operations

3(x-2)=15

Divide both sides of the equation by 3

Add 2 to both sides of the equation

Thus, the value of x is 8.

We two conversions when asked to convert between kg and lb

And

We need kg equivalent of 220 lb, therefore we use option 1 and carry out the conversions as follows:

Thus, 100kg is equal to 220lb.

To change between L and mL, the following two options are used.

To solve this problem, we need to have all options in fraction form.

74  95 = 

7/8 = 3/8

0.72 = 72/100

74% = 74/100

Now, find the least common denominator of 95, 8, and 100. The least common denominator is 3800, which we multiply by each fraction as follows:

74/95*3800=2960

7/8*3800=3325

72/100*3800=2736

74/100*3800=2812

We can see that the fraction 7/8 is the greatest among the given options.

We analyze the given statement with the graph given as follows:

For option a: the points per game decreased five times between 1996 and 2015. So, the statement is true.

For option b: the lowest points scored per game was in 1998-99 season. So, the statement is false.

For option c: 2008-09 was the season the chargers scored the greatest number of points per game and not 2002-03 as claimed in the statement. So, this statement is not true.

We are asked to find mL equivalent in 1.5 teaspoons. To carry out the operations, we utilize dimensional analysis to solve this problem as follows.

Converting between teaspoon and mL uses the following conversions:

Or

Since we want to remain with mL, use the second option and proceed as follows.

Thus, 1.5 teaspoons is equal to 7.395 mL

In the given problem, we use the calculator to evaluate the product 1.9 * 0.75 = 1.425