Question

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

58

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
90 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 square of a number x? [
+
What is 3/5 of 60?
+
What is the square root of 256? How does this value compare to the square root of 169? Calculate the difference between their decimal approximations.
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
1 + 1
Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps
the value of sin 178°58'
what is 9% of 307
In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?
4x567
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
What is the appropriate measurement for the weight of an African elephant?
find x in the equation 2x-4=6
Exercise 1 An ejidal association wishes to determine the distribution for the three different crops that it can plant for the next season on its available 900 hectares. Information on the total available and how many resources are required for each hectare of cultivation is shown in the following tables: Total available resource Water 15,000 m3 Fertilizer 5,000 kg Labor 125 day laborers Requirements per cultivated hectare Corn Soybeans Wheat Water 15 25 20 Fertilizer 5 8 7 Labor** 1/8 1/5 1/4 *The data in fraction means that with one day laborer it will be possible to care for 8, 5 and 4 hectares respectively. * Sales of crops 1 and 3, according to information from the Department of Agriculture, are guaranteed and exceed the capacity of the cooperative. However, soybeans must be limited to a maximum of 150 hectares. On the other hand, the profits for each hectare of crop obtained are estimated at: $7,500 for corn, $8,500 for soybeans and $8,000 for wheat. The objectives are to determine: • How many hectares of each crop must be allocated so that the profit is maximum. R= • The estimated profits for the ejidal cooperative in the next growing season. R=
A stunt man jumps horizontally from a building to the roof of a garage that is 2 meters lower. How fast does he need to be to land on the roof of the said garage that is 3 meters away from the building?
Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.
(X+2)(x+3)=4x+18
Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.
Which statement best describes the key changes in perspectives on inclusion? An inclusive program must consider the unique experiences of every child and family as well as the child's strengths and needs. There is a shift in thinking about individual programs as "inclusive programs" to thinking about inclusion as something that reflects the cultural influence of the family. There is a greater emphasis on barriers to full participation and the acknowledgement that all children are unique and must be fully and meaningfully engaged in a program. In an inclusive program all participants are accepted by their peers and other members of the community.
In a 24 hours period, the average number of boats arriving at a port is 10. Assuming that boats arrive at a random rate that is the same for all subintervals of equal length (i.e. the probability of a boat arriving during a 1 hour period the same for every 1 hour period no matter what). Calculate the probability that more than 1 boat will arrive during a 1 hour period. (P(X>1) ) Give your answers to 4 decimal places and in a range between 0 and 1
Pablo has a balance of $440,000 and 2/5 of the money is used to pay bills. How much money do you have left after paying the bills?
solve R the following equation 4 x squared - 35 - 9 over x squared is equal to 0
13/25+7/16