Answer:
Members of the House of Representatives present for the vote were atleast 426 .
Step-by-step explanation:
As given
A Bill in the U.S House of Representatives passed because at least [tex]\frac{2}{3}[/tex] of the members present voted in favor of it.
If the bill received 284 votes .
Let us assume that the total members of the House of Representatives were present for the vote be x .
Than the equations becomes
[tex]\frac{2}{3}\times Total\ number\ of\ Representatives\ present\ for\ vote \geq 284[/tex]
[tex]\frac{2}{3}\times x \geq 284[/tex]
[tex]2x \geq 284\times 3[/tex]
[tex]2x \geq 852[/tex]
[tex]x\geq \frac{852}{2}[/tex]
[tex]x\geq 426[/tex]
Therefore members of the House of Representatives present for the vote were atleast 426 .