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)
Math question: What is the sine value of an angle θ, located on the unit circle, if the x-coordinate of its corresponding point is 0?
+
What is the simplified value of √65?
+
Find the length of the hypotenuse in a right-angled triangle with an angle of 60 degrees and an adjacent side of 4.6 units.
+
New questions in Mathematics
The strength of Kefexin oral suspension is 100 mg/ml. Nora has been prescribed cefalexin at a dose of 50 mg/kg/day divided in two single doses. Nora weighs 14 kg. How many milliliters of solution for Nora should be given as a single dose?
5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?
For a temperature range between 177 degrees Celsius to 213 degrees Celsius, what is the temperature range in degrees Fahrenheit.
math question a bookstore announces a promotion valid for the same purchase as follows: buy a book and get 10% off the total purchase! buy two books and get 20% off your total purchase! buy three or more books and get 30% off your total purchase! Marcelo wanted to buy three books that cost 20.00 each without discount but he decided to buy two books in one day and another purchase with the third book the next day. If he had bought the three books at once he would have saved the following amount.
Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6
4x-3y=24 and 5x-2y=9 solve by elimination
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
4. Show that if n is any integer, then n^2 3n 5 is an odd integer
The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers
(5y 9)-(y 7)
-3(-4x+5)=-6(7x-8)+9-10x
I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?
The Humane Society has asked for our help again this week. Currently they are charging $50 for an adoption fee. Unfortunately they just pulled this number out of the air and do not know why they are charging this amount. They would like to charge an amount that covers all the adoption costs – both the variable costs for adoptions as well as the fixed cost for the kennel portion of the Humane Shelter operations. We can help them by doing a breakeven analysis. During a client meeting we gathered these facts. There are 2 part-time employees that each earn $1000 per month. The utilities for the kennel area (water, electricity) are $200 per month. The average food cost for animals in the kennel is $800 per month. In addition, each animal that is adopted receives a rabies vaccination that costs $4 and is micro-chipped that costs $6. At the current cost of $50, how many animals must be adopted to break-even? What would break-even be at a $60 adoption fee? What would break-even be if the fee were lowered to $40? The newspaper has suggested that the Humane Society advertise to increase pet adoptions. The package that they have recommended costs $1000 for a very small ad run every day for a month. If the Humane Society does this extra advertising, how will it affect breakeven? Based on what you have learned about elasticity, what price do you recommend for the adoption fee?
Convert 5/9 to a decimal
P(Z<z)=0.1003
Let v be the set of all ordered pairs of real numbers and consider the scalar addition and multiplication operations defined by: u+v=(x,y)+(s,t)=(x+s+1,y+t -two) au=a.(x,y)=(ax+a-1,ay-2a+2) It is known that this set with the operations defined above is a vector space. A) calculate u+v is au for u=(-2,3),v=(1,-2) and a=2 B) show that (0,0) #0 Suggestion find a vector W such that u+w=u C) who is the vector -u D) show that axiom A4 holds:-u+u=0
solve R the following equation 4 x squared - 35 - 9 over x squared is equal to 0
Solve the following 9x - 9 - 6x = 5 + 8x - 9

You might be interested in