The sum of two times a number and 16 is five times the difference of a number and six. Solve for a variable

Name: Solved: The sum of two times a number and 16 is five times the difference of a number and six. Solve for a variable - MathMaster
Brand: MathMaster
Rating: 4.9 (58 reviews)

likes

292 views

Answer to a math question The sum of two times a number and 16 is five times the difference of a number and six. Solve for a variable

$Expert avatar$

Gerhard

4.5

92 Answers

To solve this problem, let's assign a variable to represent the unknown number. Let's call it "a". According to the problem statement, the sum of two times the number and 16 is equal to five times the difference of the number and six. Mathematically, this can be written as: 2a + 16 = 5(a - 6) To solve for a, we can start by simplifying the equation: 2a + 16 = 5a - 30 Next, let's isolate the variable a on one side of the equation. We can do this by subtracting 2a from both sides: 16 = 3a - 30 To further isolate a, let's add 30 to both sides of the equation: 16 + 30 = 3a 46 = 3a Finally, we can solve for a by dividing both sides of the equation by 3: a = 46/3 So, the value of the unknown number is approximately 15.33.

Frequently asked questions (FAQs)

What is the mean of a set of numbers?

What is the variance of a data set: 5, 10, 15, 20, 25?

What is the radius of a circle whose equation is given by the function x^2 + y^2 = 25?

New questions in Mathematics

Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?

The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality

The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. 84. Find the probability that the average price for 30 gas stations is less than $4.55. a 0.6554 b 0.3446 c 0.0142 d 0.9858 e 0

The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?

Solve : 15/16 divide 12/8 =x/y

6-35 A recent study by an environmental watchdog determined that the amount of contaminants in Minnesota lakes (in parts per million) it has a normal distribution with a mean of 64 ppm and variance of 17.6. Assume that 35 lakes are randomly selected and sampled. Find the probability that the sample average of the amount of contaminants is a) Greater than 72 ppm. b) Between 64 and 72 ppm. c) Exactly 64 ppm. d) Greater than 94 ppm.