Question
Solve the following equations. (a) 7(3x + 5) = 63
Hint:
solve the given equations for x and m .
The correct answer is: x = 4/3 (or) 1.33
(a)
Ans :- x = 4/3 (or) 1.33
Explanation :-
Related Questions to study
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In quadrilateral ABCD above, 
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Note:
An alternate way to find the solution is to plot the given inequalities in the xy-plane. Each inequality denotes either side of the line given by putting equal sign instead of the inequality. To find which side of the line satisfies the inequality, check with point (0, 0) and shade the region satisfied by the inequality. After that, check if each of the points given in the options satisfies the region shaded in the xy-plane.
In the xy-plane, point A is contained in the graph of the solution set of the system of inequalities above. Which of the following could be the coordinates of point A?
Note:
An alternate way to find the solution is to plot the given inequalities in the xy-plane. Each inequality denotes either side of the line given by putting equal sign instead of the inequality. To find which side of the line satisfies the inequality, check with point (0, 0) and shade the region satisfied by the inequality. After that, check if each of the points given in the options satisfies the region shaded in the xy-plane.
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Note:
Observe that the expressions in the incorrect options is slightly different than the correct one, so there is a high chance of making a mistake while finding the product of two linear factors.
In the options, if only the product of two linear factors was given, without the extra term, then we would find the solution by middle term factorization and there was no need to break 21 into 12 and 9 .
Which of the following expressions is equivalent to ?
Note:
Observe that the expressions in the incorrect options is slightly different than the correct one, so there is a high chance of making a mistake while finding the product of two linear factors.
In the options, if only the product of two linear factors was given, without the extra term, then we would find the solution by middle term factorization and there was no need to break 21 into 12 and 9 .
In an auditorium , the number of columns equal to the number of chairs in a each column. If the capacity of an auditorium is 16129. How many chair are there in each column ?
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Find the least square numbers exactly divisible by each one of numbers 6, 9, 15 and
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If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (Round your answer to the nearest second.)
The concepts of speed, time, and distance are frequently used in questions about motion in a straight line, circular motion, boats and streams, races, clocks, and so on. Therefore, aspirants should comprehend the interdependence of speed, distance, and time.
Relationship between speed, time, and distance
• Speed = Distance/Time: This indicates how slowly or quickly an object moves. It shows the distance traveled divided by the time taken to cover the distance.
Distance is directly proportional to speed, and time is inversely proportional to speed.
• Distance = Speed x Time, and
• Time = Distance / Speed; as speed increases, the time taken will decrease, and vice versa.
Any basic problem can be solved using these formulas. However, the correct usage of units is also important while using formulas.
If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (Round your answer to the nearest second.)
The concepts of speed, time, and distance are frequently used in questions about motion in a straight line, circular motion, boats and streams, races, clocks, and so on. Therefore, aspirants should comprehend the interdependence of speed, distance, and time.
Relationship between speed, time, and distance
• Speed = Distance/Time: This indicates how slowly or quickly an object moves. It shows the distance traveled divided by the time taken to cover the distance.
Distance is directly proportional to speed, and time is inversely proportional to speed.
• Distance = Speed x Time, and
• Time = Distance / Speed; as speed increases, the time taken will decrease, and vice versa.
Any basic problem can be solved using these formulas. However, the correct usage of units is also important while using formulas.
Which of the following is the graph of the equation y = 3x - 2 in the x y-plane?
Note:
We can also solve this question by eliminating the options.
The first option A) is not correct because the line passes through the origin and so it must satisfy the equation, which is not true as 0
- 2
Then C) is not correct as the line passes through (0, -3), but this point does not satisfy the equation. Similarly, for option D) the point (0, 2) lies on the graph, but does not satisfy the equation.
Which of the following is the graph of the equation y = 3x - 2 in the x y-plane?
Note:
We can also solve this question by eliminating the options.
The first option A) is not correct because the line passes through the origin and so it must satisfy the equation, which is not true as 0- 2
Then C) is not correct as the line passes through (0, -3), but this point does not satisfy the equation. Similarly, for option D) the point (0, 2) lies on the graph, but does not satisfy the equation.
