Simplify the expression. Which of the following is correct?

The length of the chair could be appropriately measured in centimeters. Kilometers are used to measure long distances while micrometers could be used to measure the length of small microorganism in microbiology lab. However, milligrams are used to measure the masses of small quantities.

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.

We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

X = 18 Feet

Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.

C organizes the collection correctly.

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.

We use the calculator to find the positive square root of 19, which is then multiplied by 3.

Using the calculator,

Multiplying the square root above with 3 becomes

The approximate value of 3 times the square root of 19 is 13.1.

Given:

• 2 teaspoons of baking powder for every ½ cup of flour.
• We are using 5 cups of flour.

Step 1: Determine how many teaspoons are needed per cup of flour.

Since the recipe calls for 2 teaspoons for every ½ cup of flour, the number of teaspoons required for 1 full cup of flour would be:

2 teaspoons×2=4 teaspoonspercup.

Step 2: Calculate how many teaspoons are needed for 5 cups of flour.

Now, multiply the number of teaspoons needed for 1 cup of flour by 5:

4 teaspoonspercup×5 cups=20 teaspoons.

Thus, the number of teaspoons of baking powder needed for 5 cups of flour is 20 teaspoons.

Therefore, the correct answer is D. 20 tsp.

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.

We are asked to determine Japheth’s uncle’s age relating to Japheth’s age.

First, express Japheth’s uncle’s age in terms of Japheth’s age as follows

Japheth’s age=k

Japheth’s uncle’s age, u = 3k-10.

Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=3k-10.

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

The absolute conditions are:

If   , a>0, then u=a or u=-a

In this case a=10, which is greater 0.

The first condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

The second condition becomes

Add 2 to both sides of the equation

Divide both sides by 4

Then, the value of x is 3 or -2.