Which of the following is the appropriate unit of a measure to express the weight of a mobile phone?
Liter
Milliliter
Gram
Milligram
Correct Answer : C
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.
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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 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)
Correct Answer is C
Explanation
We follow the order of operations to solve the given expression. The order of operations is PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (in order from left to right)
- Addition and Subtraction (in order from left to right)
First, we start with the numerator and solve it as follows
[3(6+5*4)]
We start with multiplication in parenthesis, 5*4=20. The expression becomes
[3(6+20)]
Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes
[3(26)]=3*26=78
Now, we solve for denominator, which is 26/2=13.
Thus, the expression is reduced into

The expression reduces into 6.
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 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.
Correct Answer is C
Explanation
C organizes the collection correctly.
Correct Answer is D
Explanation
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+5)
Area of the rectangle, A= Length*width=(w+5)*w
A=w(w+5)
Thus, the area of the rectangular room is w(w+5).
Correct Answer is D
Explanation
We use the relation 1 L=1000 mL to convert L to mL.
The two options for converting between L and mL are

And

We use the first option to convert 6.5 L to mL as follows:

Thus, 6.5 L is 6500 mL.
Correct Answer is C
Explanation
The polling organization has an average ratio of 2 answered calls for every 15 attempted calls. To find the expected number of answered calls for 150 attempted calls, we can set up a proportion based on this ratio.
Step 1: Set up the proportion
The ratio of answered calls to attempted calls is:
=
Where x is the number of expected answered calls for 150 attempted calls.
Step 2: Solve for x
Cross-multiply to solve for x:
2×150=15×x
300=15x
X =
x = 20
Conclusion:
The expected number of answered calls for 150 attempted calls is 20 calls.
The correct answer is C. 20 calls.
Correct Answer is A
Explanation
Given the equation A(f)=92+2f
To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.
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