Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
Answer:
1. c(m)=7
2. c(M)=420
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
30-22=2x
8=2x
8/2=x
Answer:
700
Step-by-step explanation:
Given:
Daily evening newspapers in 2015 = 389
Percentage decrease from 2000 to 2015 = 46.5%
To find:
Number of newspapers in 2000 = ?
Solution:
Let the number of newspapers in 2000 = 
When 46.5% of the total newspapers in 2000 () is subtracted from the total newspapers in 2000 (), it will be equal to the number of newspapers in 2015.
Making the equation as per the given statement:
Therefore, the answer is:
There were <em>727 </em>newspapers in 2000.
Answer:
the coordinates of the point would be (-2.5,3)
Step-by-step explanation:
We want to split the segment from (-10,-3) to (2,-3) into segments with a ratio of 5:3. Since the y-coordinate is -3 for both coordinates, the y-coordinate of the partitioning point will be -3. The ratio of 5:3 corresponds to 5/8 of the distance between the x-coordinates of the two points. So we would be moving 5/8 of the distance from -10 to 2 for the x-coordinate, so the x-coordinate would be -10 + 5/8 (12) = -2.5. So the coordinates of the point would be (-2.5,3)
