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Two Numbers differ by 3 the sum of there reciprocal is 7 over 10 What are the numbers?
Let the numbers be x and y such that x < y. So we can say that y = x + 3. Since the sum of their reciprocals is 7/10 we write:
1/x + 1/(x + 3) = 7/10 (multiply each term to both sides by the common denominator, 10x(x + 3))
10(x + 3) + 10x = 7x(x + 3)
10x + 30 + 10x = 7x2 + 21x (subtract 20x and 30 to both sides)
0 = 7x2 + x - 30
0 = (7x + 15)(x - 2)
7x + 15 = 0 or x - 2 = 0
x = -15/7 or x = 2
y = x + 3
y = -15/7 + 3 = (-15 + 21)/7 = 6/7
y = 2 + 3 = 5
The numbers are -15/7 and 6/7, or 2 and 5.
What else can I help you with?
What is the reciprocal of 1 over 2?
the reciprocal of 1 over 2, is 2. reciprocal just means you flip the numbers over, in this case it leaves 2 over 1 which is the same as 2 divided by 1 which is 2. for example the reciprocal of 10 is 1 over 10 and the reciprocal over 1 over 7 is 7.
Can numbers have their own reciprocal?
Yes, numbers can have their own reciprocals. Whole numbers can be written as a fraction, like 4 as 4/1(four over one). Then, you would just flip it. It would become 1/4(one over four). You can do this with fractions.
What is reciprocal of 2 over 5?
Ah, the reciprocal of 2 over 5 is a beautiful thing to explore. To find the reciprocal, you simply flip the fraction upside down. So, the reciprocal of 2 over 5 is 5 over 2. It's like a little dance between numbers, creating harmony on the canvas of mathematics.
How do you multiply hole numbers and fractions?
You simply put the whole number over one making it a fraction then you flip the reciprocal and divide the two fractions insted of multiplying.
How many numbers are in the whole world?
There are 10 numbers in the whole world 1,2,3,4,5,6,7,8,9,0 you use those numbers over and over again to make larger numbers.
What is the reciprocal of 1 over 2?
the reciprocal of 1 over 2, is 2. reciprocal just means you flip the numbers over, in this case it leaves 2 over 1 which is the same as 2 divided by 1 which is 2. for example the reciprocal of 10 is 1 over 10 and the reciprocal over 1 over 7 is 7.
Can numbers have their own reciprocal?
Yes, numbers can have their own reciprocals. Whole numbers can be written as a fraction, like 4 as 4/1(four over one). Then, you would just flip it. It would become 1/4(one over four). You can do this with fractions.
What fractions or whole numbers are reciprocals?
The reciprocal of any whole number is one over that number, like 5 and 1/5
What is reciprocal of 2 over 5?
Ah, the reciprocal of 2 over 5 is a beautiful thing to explore. To find the reciprocal, you simply flip the fraction upside down. So, the reciprocal of 2 over 5 is 5 over 2. It's like a little dance between numbers, creating harmony on the canvas of mathematics.
How do you multiply hole numbers and fractions?
You simply put the whole number over one making it a fraction then you flip the reciprocal and divide the two fractions insted of multiplying.
How many numbers are in the whole world?
There are 10 numbers in the whole world 1,2,3,4,5,6,7,8,9,0 you use those numbers over and over again to make larger numbers.
What is the reciprocal of 4.2?
Ah, the reciprocal of 4.2 is simply 1 divided by 4.2, which equals approximately 0.2381. Remember, in the world of numbers, everything has its own special place and purpose, just like each tree in a beautiful forest.
Why is number 1 superior over all numbers?
It is not superior over all numbers.
What is the reciprocal 9 over 4?
Ah, the reciprocal of 9 over 4 is simply 4 over 9. Just like in painting, sometimes we need to flip things around to see a different perspective. Embrace the beauty of fractions and let them dance together on the canvas of mathematics.
How many combinations of six numbers can be had from seven numbers?
The number of combinations of six numbers that can be made from seven numbers will depend on if you can repeat numbers. In all there are over 2,000 different numbers that can be made.
Which term of these sets of numbers is not a subset of the real numbers?
That term, over there!
Are there prime numbers over 100?
Sure, since there are INFINITELY MANY prime numbers, that means you will find prime numbers over any given number.
