Answer:
<em>1,760 actual miles separate Springfield from Glenview.</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing real dimensions by a constant factor. We use scaling when representing geographic locations on a map.
The map has the scale:
0.75 inch => 220 miles
This gives us the scaling factor as 220/0.75. There is no need to divide.
We are given the distance from Springfield to Glenview is 6 inches on the map. The actual distance is
6*220/0.75 = 1,760
1,760 actual miles separate Springfield from Glenview.
The option C) y = 15/x
a) y = 15 x is an example of direct variation, with proportionality constant = 15
b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin)
c) y = 15/x => y*x = 15 = constant which is the characteristic of an inverse relation
d) y = x/15 is an example of an inverse relation, with proportion constant = 1/15
Given:
The expression is
To find:
The value of the given expression closest to the whole number.
Solution:
We have,
Cancel out the common factors from each fraction.
Therefore, the value of the given expression is 1.
Factor each out:
11: 1*11
39: 3*13
35: 5*7
8: 2*2*2
since you can see no common factor just multiply them all to get 120120
