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

Name: Solved: 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 - MathMaster
Brand: MathMaster
Rating: 4.9 (59 reviews)

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)

Find the period of the cosine function y = 5cos(3x - π/4).

Math question: What is the probability of rolling a fair six-sided dice and getting an even number?

What is the value of sin(60°) for an equilateral triangle?

New questions in Mathematics

Students Ana Beatriz and Paula decided to register on a website with exercises to study for upcoming simulations, but to register on this website, they need to choose a password consisting of five characters, three numbers and two letters (capital letters). or lowercase). Letters and numbers can be in any position. They know that the alphabet is made up of twenty-six letters and that an uppercase letter differs from a lowercase letter in a password. What is the total number of possible passwords for registering on this site?

Hey👋🏻 Tap "Create New Task" to send your math problem. One of our experts will start working on it right away!

431414-1*(11111-1)-4*(5*3)

In a random sample of 600 families in the Metropolitan Region that have cable television service, it is found that 460 are subscribed to the Soccer Channel (CDF). How large a sample is required to be if we want to be 95% confident that the estimate of “p” is within 0.03?

Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that

Two events E and F are ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.

Suppose a large shipment of cell phones contain 21% defective. If the sample of size 204 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 4% round your answer to four decimal places