Given that 4 percent of [tex](2a + b)[/tex] is 18 and [tex]a[/tex] is a positive integer, what is the greatest possible value of [tex]b[/tex]?

Question

Anonymous · Answer

4% = 0.04 0.04 ( 2 a + b ) = 18 / : 0.04 2 a + b = 450 t h e g re a t es t p oss ib l e v a l u e o f b i f a = 1 : 2 ⋅ 1 + b = 450 2 + b = 450 b = 450 − 2 b = 448 ← an s w er

Anonymous · Answer

To determine the greatest possible value of b, we derived the equation 2a + b = 450 from the initial condition. By setting a to its smallest positive integer value (1), we found that b equals 448. Thus, the maximum value of b is 448. 
 ;

Given that 4 percent of [tex](2a + b)[/tex] is 18 and [tex]a[/tex] is a positive integer, what is the greatest possible value of [tex]b[/tex]?

Answer (2)

Related Questions in Mathematics

[Done] Select the correct answer. Which equation is equivalent to the given equation? [tex]$x^2-6 x=8$[/tex] A. [tex]$(x-6)^2=44$[/tex] B. [tex]$(x-3)^2=17$[/tex] C. [tex]$(x-6)^2=20$[/tex] D. [tex]$(x-3)^2=14$[/tex]

[Done] Which phrase best describes the translation from the graph [tex]y=6 x^2[/tex] to the graph of [tex]y=6(x+1)^2[/tex]? A. 6 units left B. 6 units right C. 1 unit left D. 1 unit right

[Done] What expression is equivalent to [tex]$\left(5 z^2+3 z+2\right)^2$[/tex] ? A. [tex]$5 z^4+3 z^2+4$[/tex] B. [tex]$5 z^4+9 z^2+4$[/tex] C. [tex]$25 z^4+30 z^3+19 z^2+12 z+4$[/tex] D. [tex]$25 z^4+30 z^3+29 z^2+12 z+4$[/tex]

[Done] The graph of [tex]y=\frac{5}{4} x+1[/tex] is shown below. The coordinate ([tex]0, y[/tex]) is a solution of the equation. Given the [tex]x[/tex]-value of 0, what is the value of the [tex]y[/tex]-coordinate for the coordinate ([tex]0, y[/tex])? [tex]y=[/tex] [blank]

[Done] If [tex]f(-2)=0[/tex], what are all the factors of the function [tex]f(x)=x^3-2 x^2-68 x-120[/tex]? Use the Remainder Theorem. A. [tex](x+2)(x+60)[/tex] B. [tex](x-2)(x-60)[/tex] C. [tex](x-10)(x+2)(x+6)[/tex] D. [tex](x+10)(x-2)(x-6)[/tex]