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Chapter 4: Problem 50

Solve. $$ t+50.7=54.07 $$

Short Answer

Expert verified
t = 3.37

Step by step solution

01

Identify the equation

The given equation is: $$t + 50.7 = 54.07$$
02

Isolate the variable t

To find the value of t, isolate it on one side of the equation: $$t = 54.07 - 50.7$$
03

Perform the subtraction

Calculate the right-hand side of the equation: $$54.07 - 50.7 = 3.37$$

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Basic Algebra
Basic algebra involves working with variables, numbers, and mathematical operations to solve equations. In this problem, we are dealing with a linear equation that includes a variable, which we need to solve for.
Understanding how to manipulate these elements according to algebraic principles is crucial. The fundamental goal is to find the value of the unknown variable that makes the equation true.
For instance, in the equation given, we need to find the value of the variable \( t \). Algebra helps us rearrange the equation step-by-step to achieve that solution.
Isolate Variable
When solving equations, one of the key steps is to isolate the variable. Isolating a variable means getting the variable alone on one side of the equation, so you can see its value.
In our exercise, we started with the equation \( t + 50.7 = 54.07 \). We want to solve for \( t \), so we need to move the 50.7 to the other side of the equation.
To do this, we perform the same mathematical operation on both sides of the equation. Subtracting 50.7 from both sides gives us:\[ t = 54.07 - 50.7 \]. Now, the variable \( t \) is isolated, and we are ready to find its value.
Math Subtraction
Subtraction is a basic mathematical operation that helps us find the difference between numbers. It's also crucial for isolating variables in algebra.
To find \( t \) in the exercise, we needed to subtract 50.7 from 54.07. Performing this subtraction, we get: \( 54.07 - 50.7 = 3.37 \). Basically, when you subtract two numbers, you take one number away from another.
So in our example, 50.7 is taken away from 54.07 to find that the value of the variable \( t \) is 3.37. Always ensure your subtraction is accurate because any mistake can lead to the wrong solution.

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Most popular questions from this chapter

In order to make money on loans, financial institutions must be paid back more money than they loan. Suppose you borrow \(\$ 270,000\) to buy a house and agree to make monthly payments of \(\$ 1490.95\) for 30 years. How much do you pay back altogether? How much more do you pay back than the amount of the loan?

Normal body temperature is \(98.6^{\circ} \mathrm{F}\). During an illness, a patient's temperature rose \(4.2^{\circ}\) higher than normal. What was the new temperature?

Normal body temperature is \(98.6^{\circ} \mathrm{F}\). The lowest body temperature at which a patient has survived is \(69^{\circ} \mathrm{F}\). How many degrees below normal is this?

Batteries. Charlotte buys 6 packages of AAA batteries at \(\$ 8.79\) per package. Estimate the total cost of the purchase.

Solve. $$ 50=5 \cdot t $$
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