Problem 19
Question
Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Nine times a number is 30 more than three times that number. Find the number.
Step-by-Step Solution
Verified Answer
The number is 5.
1Step 1: Formulate the equation
The problem states that 'Nine times a number is 30 more than three times that number'. So we can write this statement as an equation like this: \(9x = 3x + 30\).
2Step 2: Rearrange the equation
To solve for \(x\), first isolate the \(x\) terms on one side of the equation and constant terms on the other. So, subtract \(3x\) from both sides which gives: \(9x - 3x = 30\), that simplifies to \(6x = 30\).
3Step 3: Solve the equation
Then, to find the value of \(x\), divide both sides of the equation by 6: \(x = 30/6\).
Other exercises in this chapter
Problem 19
Solve each equation in Exercises \(15-26\) by the square root method. $$(x+2)^{2}=25$$
View solution Problem 19
In Exercises 13-26, express each interval in terms of an inequality and graph the interval on a number line. $$(2, \infty)$$
View solution Problem 19
Exercises \(17-30\) contain equations with constants in denominators. Solve each equation. $$ 20-\frac{x}{3}=\frac{x}{2} $$
View solution Problem 20
In Exercises \(9-20,\) find each product and write the result in standard form. $$(5-2 i)^{2}$$
View solution