Combine and simplify. 3 b + 1 10 b \frac { 3 } { b } + \frac { 1 } { 10 b } b 3 + 10 b 1 A) 31 11 b \frac { 31 } { 11 b } 11 b 31 B) b + 30 10 b \frac { b + 30 } { 10 b } 10 b b + 30 C) 31 10 b \frac { 31 } { 10 b } 10 b 31 D) 3 10 b 2 \frac { 3 } { 10 b ^ { 2 } } 10 b 2 3 E) 4 11 b \frac { 4 } { 11 b } 11 b 4

Question

Combine and simplify.   3 b + 1 10 b \frac { 3 } { b } + \frac { 1 } { 10 b } b 3 ​ + 10 b 1 ​ A)    31 11 b \frac { 31 } { 11 b } 11 b 31 ​ B)    b + 30 10 b \frac { b + 30 } { 10 b } 10 b b + 30 ​ C)    31 10 b \frac { 31 } { 10 b } 10 b 31 ​ D)    3 10 b 2 \frac { 3 } { 10 b ^ { 2 } } 10 b 2 3 ​ E)    4 11 b \frac { 4 } { 11 b } 11 b 4 ​

George Beshara · Accepted Answer

Final Answer : C, Explanation :   To combine and simplify   3 b + 1 10 b \frac { 3 } { b } + \frac { 1 } { 10 b } b 3 ​ + 10 b 1 ​  , find a common denominator, which is   10 b 10b 10 b  . Thus, the expression becomes   30 10 b + 1 10 b = 31 10 b \frac { 30 } { 10b } + \frac { 1 } { 10b } = \frac { 31 } { 10b } 10 b 30 ​ + 10 b 1 ​ = 10 b 31 ​  .

Combine and simplify. $3b+110b\frac { 3 } { b } + \frac { 1 } { 10 b }$

A) $3111b\frac { 31 } { 11 b }$
B) $b+3010b\frac { b + 30 } { 10 b }$
C) $3110b\frac { 31 } { 10 b }$
D) $310b2\frac { 3 } { 10 b ^ { 2 } }$
E) $411b\frac { 4 } { 11 b }$

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Combine and simplify. 3b+110b\frac { 3 } { b } + \frac { 1 } { 10 b }b3​+10b1​ A) 3111b\frac { 31 } { 11 b }11b31​ B) b+3010b\frac { b + 30 } { 10 b }10bb+30​ C) 3110b\frac { 31 } { 10 b }10b31​ D) 310b2\frac { 3 } { 10 b ^ { 2 } }10b23​ E) 411b\frac { 4 } { 11 b }11b4​

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Learning Objectives

Learning Objectives

Related questions

Combine and simplify. $3b+110b\frac { 3 } { b } + \frac { 1 } { 10 b }$

A) $3111b\frac { 31 } { 11 b }$
B) $b+3010b\frac { b + 30 } { 10 b }$
C) $3110b\frac { 31 } { 10 b }$
D) $310b2\frac { 3 } { 10 b ^ { 2 } }$
E) $411b\frac { 4 } { 11 b }$