solve the following equations. round your answers to the nearest hundredth as needed.\na) ( 0.87 b - 5.31 =…

solve the following equations. round your answers to the nearest hundredth as needed.\na) ( 0.87 b - 5.31 = 11.49 )\n( b = )\n\nb) ( 7.97 = 11.57 n - 8.47 n )\n( n = )\n\nc) ( 3.05 ( 8.55 w - 4.11 ) = 10.35 )\n( w = )\n\nd) ( r + 1.31 r = 7.73 )\n( r = )

solve the following equations. round your answers to the nearest hundredth as needed.\na) ( 0.87 b - 5.31 = 11.49 )\n( b = )\n\nb) ( 7.97 = 11.57 n - 8.47 n )\n( n = )\n\nc) ( 3.05 ( 8.55 w - 4.11 ) = 10.35 )\n( w = )\n\nd) ( r + 1.31 r = 7.73 )\n( r = )

Answer

Answer:

a) ( B = 19.54 ) b) ( N = 11.39 ) c) ( W = 0.71 ) d) ( R = 3.34 )

Explanation:

a) Solving ( 0.87B - 5.31=11.49 )

Step1: Isolate the term with ( B )

Add ( 5.31 ) to both sides: ( 0.87B=11.49 + 5.31 ) ( 0.87B=16.8 )

Step2: Solve for ( B )

Divide both sides by ( 0.87 ): ( B=\frac{16.8}{0.87}\approx19.54 )

b) Solving ( 7.97 = 11.57N-8.47N )

Step1: Combine like - terms

( 7.97=(11.57 - 8.47)N ) ( 7.97 = 3.1N )

Step2: Solve for ( N )

Divide both sides by ( 3.1 ): ( N=\frac{7.97}{3.1}\approx11.39 )

c) Solving ( 3.05(8.55W - 4.11)=10.35 )

Step1: Divide both sides by ( 3.05 )

( 8.55W-4.11=\frac{10.35}{3.05} ) ( 8.55W-4.11 = 3.4 )

Step2: Isolate the term with ( W )

Add ( 4.11 ) to both sides: ( 8.55W=3.4 + 4.11 ) ( 8.55W=7.51 )

Step3: Solve for ( W )

Divide both sides by ( 8.55 ): ( W=\frac{7.51}{8.55}\approx0.71 )

d) Solving ( R + 1.31R=7.73 )

Step1: Combine like - terms

((1 + 1.31)R=7.73 ) ( 2.31R=7.73 )

Step2: Solve for ( R )

Divide both sides by ( 2.31 ): ( R=\frac{7.73}{2.31}\approx3.34 )