bob is on his way home in his car. he has driven 30 miles so far, which is three-fifths of the way home. what is the total length of his drive?

The length of Bob's drive as a fraction = 5/5

Let the length of his total drive be = x

30 miles driven by Bob as a fraction =

= 3/5 of x = 30

= 3/5x = 30

= 5/x = 30 ÷ 3 ( transposing ×3 from LHS to RHS changes ×3 to ÷3 )

=5/x = 10

= x = 10 × 5 ( transposing ÷5 from LHS to RHS changes ÷5 to ×5 )

= x = 50

Now we have to see what is =

= 2/5 of 50

= 2/5 × 50

= 100/5

= 20 miles

So , total length of Bob's drive = 30 miles + 20 miles = 50 miles .

∴ The total length of Bob's drive is 50 miles .

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950