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Sagot :
the number of miles is 150
Explanation
Step 1
set the equations
Company A
company A offers $205 plus
$0.55 per mile
Let
x, number of miles
then
reimbursement A= 205+0.55x
[tex]A=205+0.55x[/tex]Step 2
set the equations
Company B
company B offers $220 plus
$0.45 per mile
Let
x, number of miles
then
reimbursement B= 220+0.45x
Step 3
if the 2 reimbursements are equal, then
[tex]\begin{gathered} A=B \\ \text{replace} \\ 205+0.55x=220+0.45x \\ \end{gathered}[/tex]Step 4
solve for x
[tex]\begin{gathered} 205+0.55x=220+0.45x \\ 0.55x-0.45x=220-205 \\ 0.1x=15 \\ x=\frac{15}{0.1} \\ x=150 \end{gathered}[/tex]
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