/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 8 Translate each statement into ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Translate each statement into an equation and then solve the equation for the unknown number. The difference between a number and 41 is 105.

Short Answer

Expert verified
Answer: The unknown number is 146.

Step by step solution

01

1. Translate the statement into an equation

First, let's represent the unknown number by the variable x. The statement says "The difference between a number and 41 is 105." This can be translated into the equation: x - 41 = 105.
02

2. Solve the equation for the unknown number

Now, we need to isolate x by adding 41 to both sides of the equation: x - 41 + 41 = 105 + 41 x = 146
03

3. Conclusion

The unknown number, represented by the variable x, is 146.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Translate each statement into an equation and then solve the equation for the unknown number. The sum of an unknown number and 378 is 2841.
The distance an object travels is determined by how fast it goes and for how long it moves. If an object's speed remains constant, the formula is \(d=r t,\) where \(d\) is the distance, \(r\) is the speed, and \(t\) is the time. a. If you drive at 50 miles per hour for 5 hours, how far will you have traveled? b. A satellite is orbiting Earth at the rate of 250 kilometers per minute. How far will it travel in 2 hours? (IMAGE CAN NOT COPY)
For each of the following conversions, write an equation of the form \(a x=b .\) Use letters of your own choosing. Determine the unknown in each equation to answer each question. a. There are 5280 feet in one mile. How many feet are in 4 miles? b. There are 16 ounces in 1 pound. How many pounds are in 832 ounces? c. There are 100 centimeters in 1 meter. How many centimeters are in 49 meters? d. Computers store data in units called bits and bytes. There are 8 bits in 1 byte. How many bytes are in 4272 bits?
In Exercises 1–10, translate each statement into an equation and then solve the equation for the unknown number. An unknown number plus 425 is equal to 981.
Solve each problem by applying the four steps of problem solving. Use the strategy of solving an algebraic equation for each problem. Your goal is to save \(\$ 1200\) to pay for next year's books and fees. How much must you save each month if you have 5 months to accomplish your goal?
See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.