Maths-
General
Easy
Question
Which of the following expressions is equivalent to the one above, where x ≠ 1 ?
The correct answer is:
HINT: Make the denominators common and then solve.
Complete step by step solution:
Given expression is
Make the denominators common by multiplying 2 on numerator and denominator of the term 
.
Thus we get the expression to be 
On dividing both the numerator and denominator by 2, we get the expression as 
Hence option A is the answer.
Note: We can also solve this by cross multiplication. On doing cross multiplication, We get the expression as
. On simplification, we get it as .
Related Questions to study
Maths-
x2 - 6x + 11 = y
x = y + 1
The system of equations above is graphed in the xy-plane. Which of the following is the y-coordinate of an intersection point (x, y) of the graphs of the two equations?
x2 - 6x + 11 = y
x = y + 1
The system of equations above is graphed in the xy-plane. Which of the following is the y-coordinate of an intersection point (x, y) of the graphs of the two equations?
Maths-General
Maths-
x + 2y = 16
0.5x - y = 10
The solution to the system of equations above is (x, y). What is the value of x ?
x + 2y = 16
0.5x - y = 10
The solution to the system of equations above is (x, y). What is the value of x ?
Maths-General
Maths-
0.8p = t
At a store, a coat originally priced at p dollars is on sale for t dollars, and the relationship between p and t is given in the equation above. What is p in terms of t ?
0.8p = t
At a store, a coat originally priced at p dollars is on sale for t dollars, and the relationship between p and t is given in the equation above. What is p in terms of t ?
Maths-General
Maths-
In the figure above, 
and 
are parallel, 
and 
are parallel, CD = CE, and the measure of 
is 1150. What is the measure of 
?
In the figure above, and are parallel, and are parallel, CD = CE, and the measure of is 1150. What is the measure of ?
Maths-General
Maths-
x(x + 2) = 8
Which of the following lists all solutions to the quadratic equation above?
x(x + 2) = 8
Which of the following lists all solutions to the quadratic equation above?
Maths-General
Maths-
5x2 - 3(1 - x) - 2x(x + 5)
Which of the following polynomials is equivalent to the expression above?
5x2 - 3(1 - x) - 2x(x + 5)
Which of the following polynomials is equivalent to the expression above?
Maths-General
Maths-
C = 10x + 4y
The formula above gives the monthly cost C, in dollars, of operating a delivery truck when the driver works a total of x hours and when y gallons of gasoline are used. If, in a particular month, it cost no more than $ 2,000 to operate the truck and at least 150 gallons of gas were used, what is the maximum number of hours the driver could have worked?
C = 10x + 4y
The formula above gives the monthly cost C, in dollars, of operating a delivery truck when the driver works a total of x hours and when y gallons of gasoline are used. If, in a particular month, it cost no more than $ 2,000 to operate the truck and at least 150 gallons of gas were used, what is the maximum number of hours the driver could have worked?
Maths-General
Maths-
A farmer sold 108 pounds of produce that consisted of z pounds of zucchini and c pounds of cucumbers. The farmer sold the zucchini for $ 1.69 per pound and the cucumbers for $ 0.99 per pound and collected a total of $ 150.32. Which of the following systems of equations can be used to find the number of pounds of zucchini that were sold?
A farmer sold 108 pounds of produce that consisted of z pounds of zucchini and c pounds of cucumbers. The farmer sold the zucchini for $ 1.69 per pound and the cucumbers for $ 0.99 per pound and collected a total of $ 150.32. Which of the following systems of equations can be used to find the number of pounds of zucchini that were sold?
Maths-General
English-One-to-One
The idiom ‘A change of heart’ means_______.
The idiom ‘A change of heart’ means_______.
English-One-to-OneGeneral
General
Choose the one which best expresses the meaning of the idioms and phrases: Ram sold their house because it was a real white elephant
Choose the one which best expresses the meaning of the idioms and phrases: Ram sold their house because it was a real white elephant
GeneralGeneral
General
The meaning of the idiom, ‘fall on deaf ears’ means:
The meaning of the idiom, ‘fall on deaf ears’ means:
GeneralGeneral
Maths-
The box plots given summarize the distribution of the number of fish caught each day on two commercial fishing boats for a season. By how many fish does the median number of fish caught each day on Boat B exceed the median number on Boat A?
The box plots given summarize the distribution of the number of fish caught each day on two commercial fishing boats for a season. By how many fish does the median number of fish caught each day on Boat B exceed the median number on Boat A?
Maths-General
Maths-
What value of x satisfies the equation above?
What value of x satisfies the equation above?
Maths-General
Maths-
If ax + a = 3, where a is a nonzero constant, which of the following must be equal to x + 1 ?
If ax + a = 3, where a is a nonzero constant, which of the following must be equal to x + 1 ?
Maths-General
Maths-
The equation above is true for all x > 2, where r and t are positive constants. What is the value of rt?
The equation above is true for all x > 2, where r and t are positive constants. What is the value of rt?
Maths-General
