Question
Simplify the expression
7100−0.3a
Evaluate
7100−30%a×100%
Solution
More Steps

Evaluate
30%a×100%
By definition p%=p×0.01
30×0.01a×100%
By definition p%=p×0.01
30×0.01a×100×0.01
Calculate
0.3a×100×0.01
Calculate
0.3a×1
Multiply the terms
0.3a
7100−0.3a
Show Solution

Factor the expression
101(71000−3a)
Evaluate
7100−30%a×100%
Multiply the terms
More Steps

Evaluate
30%a×100%
By definition p%=p×0.01
30×0.01a×100%
By definition p%=p×0.01
30×0.01a×100×0.01
Calculate
0.3a×100×0.01
Calculate
0.3a×1
Multiply the terms
0.3a
7100−0.3a
Convert the decimal into a fraction
7100−103a
Solution
101(71000−3a)
Show Solution

Find the roots
a=371000
Alternative Form
a=23666.6˙
Evaluate
7100−30%a×100%
To find the roots of the expression,set the expression equal to 0
7100−30%a×100%=0
Multiply the terms
More Steps

Evaluate
30%a×100%
By definition p%=p×0.01
30×0.01a×100%
By definition p%=p×0.01
30×0.01a×100×0.01
Calculate
0.3a×100×0.01
Calculate
0.3a×1
Multiply the terms
0.3a
7100−0.3a=0
Move the constant to the right-hand side and change its sign
−0.3a=0−7100
Removing 0 doesn't change the value,so remove it from the expression
−0.3a=−7100
Change the signs on both sides of the equation
0.3a=7100
Divide both sides
0.30.3a=0.37100
Divide the numbers
a=0.37100
Solution
More Steps

Evaluate
0.37100
Convert the decimal into a fraction
1037100
Multiply by the reciprocal
7100×310
Multiply the numbers
37100×10
Multiply the numbers
371000
a=371000
Alternative Form
a=23666.6˙
Show Solution
