Write and solve an equation: Find a number such that 5 less than the opposite of the number is 3 times the sum of the number and -7

Name: Solved: Write and solve an equation: Find a number such that 5 less than the opposite of the number is 3 times the sum of the number and -7 - MathMaster
Brand: MathMaster
Rating: 4.9 (207 reviews)

207

likes

1033 views

Answer to a math question Write and solve an equation: Find a number such that 5 less than the opposite of the number is 3 times the sum of the number and -7

$Expert avatar$

Fred

4.4

118 Answers

1. Write the equation:

-x - 5 = 3(x - 7)

2. Expand the right side:

-x - 5 = 3x - 21

3. Add

to both sides:

-5 = 4x - 21

4. Add 21 to both sides:

16 = 4x

5. Divide by 4:

x = 4

Frequently asked questions (FAQs)

What is the median of a dataset with an odd number of values?

What is the scalar component of vector A = 3i + 4j when projected onto the unit vector u = 0.6i + 0.8j?

Math question: Solve the inequality 2x + 5 > 3x - 4.Answer: To solve this inequality, first subtract 2x from both sides: 5 > x - 4. Then, add 4 to both sides: 9 > x. So, the solution is x < 9.

New questions in Mathematics

Solution of the equation y'' - y' -6y = 0

CASE 6-1: PREPARE A PRODUCTION PLAN: WHAT PROBLEMS ARRIVE? Midwest Plastics Company has conducted profit planning for several years. The president stated (with justification) that inventory control and planning had not been satisfactory, which was mainly due to poor planning of production and inventory budgets. Please analyze and provide recommendations, in detail, on the issue regarding the 20B profit plan, which is now being prepared. Their analysis and recommendations will be presented to the executive committee. Despite the seasonality factor, the sales department has been successful in developing a sales plan, on a monthly basis, for each year. The following sales data is available for 20B. 1. Sales plan summary for 20B: 2. Finished goods inventory, as of January 1, 20B, is 96,000 units. 3. Work-in-process inventory will remain constant. 4. Actual annual sales in 20A, including the estimate for December, were 350,000 units. 5. The average finished goods inventory during 20A was 70,000 units. IT IS REQUESTED. 1. Prepare the annual production budget, assuming that management policy is to budget ending finished goods inventory at a standard quantity, based on the ratio of historical sales of 20A to inventory turnover. 2. Prepare a schedule showing sales, production, and inventory levels for each month, assuming: 1) stable inventory, 2) stable production, and 3) recommended inventory-production levels. In developing your recommendations, assume that the following policies have been established: a) The president has set the policy that a maximum inventory of 85,000 units and a minimum inventory of 75,000 units should be used, except in abnormal circumstances. b) A stable level of production is definitely preferred, except that during the holiday season in July and August, production may be reduced by 25 percent. Likewise, a variation in production of 7.5 percent above and below the average level is acceptable. 3. What are the main problems faced by the company in production planning? Make your general recommendations.

A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?

A college believes that 22% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points?

5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight

Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5

I need .23 turned into a fraction

solve the following trigo equation for 0°<= x <= 360°. sec x =-2

Moaz wanted to test whether the level of headache pain (on a scale of 1 – 10) changes after taking Advil. He collected data from 9 participants and calculated the difference in headache pain before and after taking Advil (summarized in the table below). Determine W observed for this test. Difference Scores -2 -4 0 +1 +3 -2 0 -3 -5 Also, What is the degrees of freedom for this test?

"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.

The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are listed below. 23.0 21.2 23.5 23.6 20.1 24.3 25.2 26.9 24.6 22.6 26.1 23.1 25.8 24.6 24.3 24.1 24.8 22.1 22.8 24.5 (a) Find the z-scores for the largest measurement. (Round your answers to two decimal places.) z =