Problem 12
Question
Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Eight subtracted from six times a number is \(298 .\) Find the number.
Step-by-Step Solution
Verified Answer
The number is 51.
1Step 1: Translation of word problem into a mathematical equation
The word problem says 'eight subtracted from six times a number.' This can be converted into the equation: 6x - 8 = 298.
2Step 2: Solve for x
To isolate x, you first add 8 to both sides of the equation. This gives us: 6x = 306. Now, to solve for x, we divide both sides by 6, giving us the solution: x = 306 / 6.
3Step 3: Derive the value of x
Finally, we find the value of x by doing the division: x = 51. Thus, the unknown number is 51.
Other exercises in this chapter
Problem 11
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(T=D+p m\) for \(D\)
View solution Problem 11
Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$38=30-2(x-1)$$
View solution Problem 12
Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$y-5=-18$$
View solution Problem 12
Graph the solutions of each inequality on a number line. \(-2 \leq x \leq 0\)
View solution