Simplify the expression. Which of the following is correct?

A. A=w(2w+1)

Explanation

The area of a rectangle is given by the formula:

A=length×width

Given that the length is one more than twice the width, we can express it as:

Length=2w+1

The width is simply w.

Now, substituting these into the area formula:

A=w(2w+1)

Thus, the correct answer is:

A=w(2w+1)

A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.

In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.

Here we utilize the dimensional analysis of units of measurement of length to convert yards to cm as follows

9 yards is equal to 822.96 cm, which is about 823 cm.

To find the greatest number from the given options, convert the decimal numbers into fractions.

6.98 becomes 698/100

9.2 becomes 92/10

The least common denominator for the denominators of 7, 100 and 10 is 700. Now we can multiply each fraction with 700 as follows:

3/7*700=300

698/100*700=4886

10/7*700=1000

92/10*700=6440

In order from the smallest to largest, we organize the number set as follows:

3/7, 10/7, 6.98, 9.2.

Thus, 9.2 is the greatest of all.

We are asked to find the number of students enrolled in the radiologic program using the information provided on the pie chart.

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

Total percent in the pie chart adds to 100%, which equals 1200 students. Then, 21% will represent

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

Therefore, 252 students will enroll for a radiologic program.

Before finding the greatest number from the data set, the numbers need to be in fraction form.

-0.5=-5/10

-1.5=-15/10

The set of numbers becomes -2/3, -5/10, -15/10, -4/9

Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:

-2/3*90=-60

-5/10*90=-45

-15/10*90=-135

-4/9*90=-40

From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.

To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.

Two ways to convert between teaspoon and mL are:

Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

Thus, a recipe of 3 teaspoons equals 14.79 mL.

To find the pounds equivalent of the kg given, we use the two options as given below.

OR

Since we want to remain with pounds, we use the second option and set up the equation below.

Thus, 65 kg is equal to 143 lb.

The probability of finding a green ball is given by

Total number of balls in the bag=6+8+3=17 balls

Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.

Using a calculator to evaluate 15÷27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.

Thus, 0.56 is the decimal equivalent of 15/27.