Which of the following is the decimal equivalent of 15/27? (Round your answer to 2 decimal places).
0.56
5.56
3.86
0.36
Correct Answer : A
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.
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Correct Answer is B
Explanation
Based on the given scenario, the outcome of measuring the daily dollar rate is the decline in investment, stock prices, and forex exchange. The three outcomes are dependent variables while the dollar rate is the independent variable.
Correct Answer is D
Explanation
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 1.5Â high is 18Â feet.
Correct Answer is D
Explanation
Percentages are fractions with denominator equal to 100. To convert a percent to decimal form, divide the value by 100.

The decimal form of 98.2% is 0.982.
Correct Answer is C
Explanation
Here, we are required to find the unit of measuring mass. The SI unit of mass is kilogram but other derived units are grams, milligrams, microgram and more.
A kilogram is a large quantity for measuring heavier objects but grams can used to measure small and light objects such as the mass of the mobile phone. Therefore, gram is the appropriate unit for measuring weight of a mobile phone.
Correct Answer is C
Explanation
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.
Correct Answer is A
Explanation
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.
Correct Answer is A
Explanation
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.
Correct Answer is B
Explanation
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 Â
 , 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.
Correct Answer is B
Explanation
P-At=-kr
Subtract P on both sides
P-P-At=-kr-P
-At=-kr-P
Divide both sides by -t
-At/-t=(-kr-P)/-t
A=(kr+P)/t
Correct Answer is A
Explanation
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)
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