There are 7 days in 1 week. Some months consist of 30 days. How many weeks are there in 280 days.

Answer: Here is the complete table, with the filled in values:
______________________________________________________________
Time (h) Distance (mi)
  3 2
9 6
12 8
18   12
___________________________________________________

Explanation:
___________________________________________________
Let us begin by obtaining the "?" value; that is, the "distance" (in "mi.") ;
when the time (in "h") is "18" ;
___________________________________________________

12/8 = 18/?

Note: "12/8 = (12÷4) / (8÷4) = 3/2 ;

Rewrite: 3/2 = 18/? ; cross-multiply: 3*? = 2 * 18 ;
3*? = 36 ;

Divide each side by "3" ;
The "?" = 36/3 = 12 ;

So, 12/8 = 18/12 ;

The value: "12" takes the place for the "?" in the table for "distance (in "mi.);
when the "time" (in "h") is "18".
__________________________________________________________
Now, let us obtain the "? " value for the "distance" (in "mi.");
when the "time" (in "h") is: "9" .

12/8 = 9/? ; Solve for "?" ;

We know (see aforementioned) that "12/8 = 3/2" ;

So, we can rewrite: 3/2 = 9/? ; Solve for "?" ;

Cross-multiply: 3* ? = 2* 9 ; 3* ? = 18 ;
Divide each side by "3" ;
to get: "6" for the "?" value.

When the time (in "h") is "9", the distance (in "mi.") is "6" .
____________________________________________________
Now, to solve the final "?" value in the table given.

9/6 = ?/2 ; Note: We get the "6" from our "calculated value" (see above problem).

9/6 = (9÷3) / (6÷3) = 3/2 ;

So, we know that the "?" value is: "3" .

Alternately: 9/6 = ?/2 ;

Cross-multiply: 6*? = 2*9 ; 6 * ? = 18 ; Divide each side by "6" ;
to find the value for the "?" ;
"?" = 18/6 = "3" .

When the "distance" (in "mi.") is: "2" ; the time (in "h") is: "3" .
____________________________________________________
Here is the complete table—with all the values filled in:
____________________________________________________

<span>Time (h) Distance (mi)
____________________________________________________
3 2
9 6
12 8
18   12
____________________________________________________</span>

6 0

3 years ago