MathMaster logo

MathMaster

  1. Home
  2. general
  3. find 2 numbers that the sum of 1 3 of the first plus 1 5 of the second will be equal to 13 and that if you multiply the fi
Question

Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution

59

likes
296 views

Answer to a math question Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution

Expert avatar
Miles
4.9
114 Answers
Let's set up a system of equations to find the two numbers. Let the first number be "x," and the second number be "y." From the first statement, we have: (1/3)x + (1/5)y = 13 From the second statement, we have: 5x + 7y = 247 Now, we can solve this system of equations. First, we can eliminate fractions by multiplying both sides of the first equation by the least common multiple (LCM) of 3 and 5, which is 15: (15 * (1/3))x + (15 * (1/5))y = 15 * 13 5x + 3y = 195 Now, we have the system of equations: 5x + 3y = 195 5x + 7y = 247 Subtract the first equation from the second equation to eliminate "x": (5x + 7y) - (5x + 3y) = 247 - 195 (5x - 5x) + (7y - 3y) = 52 4y = 52 Now, solve for "y": y = 52 / 4 y = 13 Now that we have the value of "y," we can substitute it back into one of the original equations. Let's use the second equation: 5x + 7y = 247 5x + 7(13) = 247 5x + 91 = 247 Subtract 91 from both sides: 5x = 247 - 91 5x = 156 Now, solve for "x": x = 156 / 5 x = 31.2 So, the two numbers that satisfy the conditions are x = 31.2 and y = 13.

Frequently asked questions (FAQs)
Question: "What is the general equation and key characteristics of an exponential function with a base of 2, graphically showing exponential growth or decay?"
+
What is the perimeter of a triangle with sides of lengths A (base), B, and C, given that A = 10, B = 7, and C = 12?
+
Question: What is the value of cosine at 45 degrees on the unit circle?
+
New questions in Mathematics
Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps
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?
Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?
How many percent is one second out a 24 hour?
Given that y = ×(2x + 1)*, show that dy = (2x + 1)" (Ax + B) dx where n, A and B are constants to be found.
Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number
Suppose the horses in a large stable, have a mean weight of a 807 pounds and a variance of 5776. What is the probability that the mean weight of the sample of horses with differ from the population mean by greater than 18 pounds is 41 horses are sampled at random from the stable round your answer to four decimal places.
If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?
5.- From the probabilities: 𝐏(𝐁) = 𝟑𝟎% 𝐏(𝐀 ∩ 𝐁) = 𝟐𝟎% 𝐏(𝐀 ̅) = 𝟕𝟎% You are asked to calculate: 𝐏(𝐀 ∪ 𝐁)
find f(x) for f'(x)=3x+7
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
Solve the following equation for x in exact form and then find the value to the nearest hundredths (make sure to show your work): 5e3x – 3 = 25
Use a pattern to prove that (-2)-(-3)=1
The population of Pittsburgh, Pennsylvania, fell from 520,117 in 1970 to 305,704 in 2010. Write an exponential function P(t) modeling the population t years after 1970. Round the growth factor to the nearest tem thousandth.
9 x² + 2x + 1 = 0
2 - 6x = -16x + 28
Sodium 38.15 38.78 38.5 38.65 38.79 38.89 38.57 38.59 38.59 38.8 38.63 38.43 38.56 38.46 38.79 38.42 38.74 39.12 38.5 38.42 38.57 38.37 38.71 38.71 38.4 38.56 38.39 38.34 39.04 38.8 A supplier of bottled mineral water claims that his supply of water has an average sodium content of 36.6 mg/L. The boxplot below is of the sodium contents levels taken from a random sample of 30 bottles. With this data investigate the claim using SPSS to apply the appropriate test. Download the data and transfer it into SPSS. Check that your data transfer has been successful by obtaining the Std. Error of the mean for your data which should appear in SPSS output as 0.03900.. If you do not have this exact value, then you may have not transferred your data from the Excel file to SPSS correctly. Do not continue with the test until your value agrees as otherwise you may not have correct answers. Unless otherwise directed you should report all numeric values to the accuracy displayed in the SPSS output that is supplied when your data has been transferred correctly. In the following questions, all statistical tests should be carried out at the 0.05 significance level. Sample mean and median Complete the following concerning the mean and median of the data. mean =  mg/L 95% CI:  to  mg/L Based upon the 95% confidence interval, is it plausible that the average sodium content is 36.9 mg/L?      median:  mg/L The median value is      36.9 mg/L. Skewness Complete the following concerning the skewness of the data. Skewness statistic =        Std. Error =  The absolute value of the skewness statistic     less than 2 x Std. Error Therefore the data can be considered to come from a population that is      . Normality test Complete the following summary concerning the formal testing of the normality of the data. H0: The data come from a population that     normal H1: The data come from a population that     normal Application of the Shapiro-Wilk test indicated that the normality assumption     reasonable for sodium content (S-W(  )=  , p=   ). Main test Using the guidelines you have been taught that consider sample size, skewness and normality, choose and report the appropriate main test from the following ( Appropriate ONE ) You have selected that you wish to report the one-sample t-test. H0: The mean sodium content     equal to 36.9 mg/L H1: The mean sodium content     equal to 36.9 mg/L Application of the one-sample t-test indicated that the mean is      36.9 mg/L (t(  ) =  , p =   ). You have selected that you wish to report the Wilcoxon signed rank test. H0: The median sodium content     equal to 36.9 mg/L H1: The median sodium content     equal to 36.9 mg/L Application of the Wilcoxon signed rank test indicated that the median is      36.9 mg/L (z =  , N =  , p =   ).
It costs a manufacturer $2,500 to purchase the tools to manufacture a certain homemade item. If the cost for materials and labor is 60¢ per item produced, and if the manufacturer can sell each item for 90¢, find how many items must he produce and sell to make a profit of $2000?
(3b)⋅(5b^2)⋅(6b^3)
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/s². Is the child hit by the car or not? How far from the traffic light does the car stop?

You might be interested in