# algebra

posted by .

a,b and c are real numbers such that ab=44, bc=112 and a+c=13. What is the value of b?

• algebra -

a = 44/b
c = 112/b
so
44/b + 112/b = 13

156 = 13 b

b = 12

• algebra -

This is a problem posted by Brilliant (dot) org, which provides weekly problem sets for students to work on independently.

-Calvin Lin
Brilliant Challenge Master

## Similar Questions

1. ### algebra 1

If a and b are any real numbers such that 0<a<1<b, which of the following must be true ov the value ab?
2. ### Algebra 2

3. Identify the vertex and the axis of symmetry of the graph of the function y = 3(x + 2)2 – 3. (1 point) A- vertex: (2, –3); axis of symmetry: x = 2 B- vertex: (–2, –3); axis of symmetry: x = –2 C- vertex: (2, 3); axis of …
3. ### algebra

a,b and c are real numbers such that ab=44, bc=112 and a+c=13. What is the value of b?
4. ### Math (Algebra)

A and B are real numbers such that the two quadratic equations 13x^2 + 3x +2 = 0 and Ax^2 + Bx + 5 = 0 have a common root. What is the value of A+B?
5. ### Math (algebra)

Let x and y be real numbers satisfying 4x^2+5y^2=1. Over all such pairs, let the maximum and minimum values of 2x^2+3xy+2y^2 be M and N respectively. If M+N+MN=a/b, where a and b are coprime positive integers, what is the value of …

Let x,y,z be positive real numbers such that: xyz=945 x(y+1)+y(z+1)+z(x+1)=385. What is the minimum possible value of z+y/2+x/4?
7. ### Linear Algebra

Let vector 'v' = (1,1) and vector 'w' = (1,-1). a)Find real numbers t1 and t2 such that t1(v) + t2(w) = (13,-12). b)Find real numbers t1 and t2 such that t1(v) + t2(w) = (x1,x2)for any x1,x2 that is an element of R.
8. ### Algebra

What is the smallest integer value of c such that the function f(x)=x^2+1/x^2-x+c has a domain of all real numbers?
9. ### Real Analysis

Let a be a real number and let m, n be natural numbers such that m < n. Prove that if 0 < a < 1 --> a^n < a^m < 1. So, what I thought to start was: since 0 < a 0 < a^n Also a < 1, a^n < 1. By the property …
10. ### algebra

Let a, b and c be real numbers such that a^2 + ab + b^2 = 9 b^2 + bc + c^2 = 52 c^2 + ca + a^2 = 49. Compute the value of (49b^2+39bc+9c^2)/a^2.

More Similar Questions