Answer:
Given:
Two trail maps:
Trail on the first map = 8 cm
Trail on the second map = 6 cm
Scale on first map = 1 cm : 2 km
A) What is the scale factor from the map to the actual trail?
For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km.
The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm
B) The length of the actual trail is 16 kilometers.
Step-by-step explanation:
<h3>
Answer: 7/13</h3>
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Explanation:
We know that the marble selected is red, so we don't need to focus on the other colors.
7 red marbles are in urn B out of 2+7+4 = 13 total red marbles.
The probability the red marble came from urn B is therefore 7/13
Answer:
11
Step-by-step explanation:
This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).
So lets look at the factors....
75=3(25)=3(5)(5)
77=7(11)
The biggest prime factor is therefore 11.
Identities used:
Difference of squares a^2-b^2=(a-b)(a+b)
135 because
15x1=15 15x7=105
15x2=30 15x8=120
15x3=45 15x9=135
15x4=60 15x10=150
15x5=75 15x11=165
15x6=90 15x12=190
