Question

If eight more than two times a number is one less than five times the same number what is the number?

283

likes
1414 views

Answer to a math question If eight more than two times a number is one less than five times the same number what is the number?

Expert avatar
Birdie
4.5
104 Answers
1. Let the unknown number be \( x \).
2. According to the problem, we can write the equation: 2x + 8 = 5x - 1
3. Rearrange the equation to solve for \( x \): 2x + 8 - 2x = 5x - 1 - 2x , which simplifies to 8 = 3x - 1
4. Add 1 to both sides: 8 + 1 = 3x , which simplifies to 9 = 3x
5. Divide both sides by 3: x = \frac{9}{3}
6. Simplify: x = 3

Hence, the number is

x = 3

Frequently asked questions (FAQs)
Math Question: What are the possible integer solutions for the equation x^n + y^n = z^n (where x, y, z and n > 2) according to Fermat's Theorem?
+
What is the formula for finding the median of a set of numbers?
+
What is the equation of a hyperbola with center (5, -3), vertices at (5, 0) and (5, -6), and conjugate axis length of 8?
+
New questions in Mathematics
One contestant on a game show has 1,500 points and another contestant has -250 points. What is the difference between the scores of the contestants?
QUESTION l. An investigation has been carried out in a region to know the perception of "citizen insecurity" of its inhabitants. 1,270 people in the region were interviewed, of which 27.1% responded that it was a "serious" problem. Knowing that this opinion was previously held by 25.3% of the population of that region, we want to know if said opinion has changed significantly for a confidence level of 97.2%. Taking this statement into account, the following is requested: a) Critical value of the contrast statistic. b) Solve the hypothesis test and indicate what conclusion we can reach. c) P-value of contrast.
A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.
Using the integration by parts method, calculate the integral of [xΒ².ln(1/x)]dx: x 4 /4 xΒ³/6 x 4 /8 xΒ³/3 x 4 /6
The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?
9b^2-6b-5
-0.15/32.6
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room
The grading on a $159,775 house comes to $3974.75. What percent of the total cost is this? (Express your answer to the nearest hundredth percent.)
How to factorise 5y^2 -7y -52
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
Solve the following 9x - 9 - 6x = 5 + 8x - 9
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
Recall that with base- ten blocks, 1 long = 10 units, 1flat = 10 long, and a block = 1 unit. Then what number does 5 flat, 17long and 5 units represent represent ?
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
Define excel and why we use it?
23,456 + 3,451
The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/sΒ². Is the child hit by the car or not? How far from the traffic light does the car stop?
Construct a set of six pieces of data with​ mean, median, and midrange of 67 and where no two pieces of data are the same.