9514 1404 393
Answer:
6π ≈ 18.8 miles
Step-by-step explanation:
The full circumference of a 12-mile circle is ...
C = πd
C = π(12 mi)
So, half the circumference of the circle is ...
arc length = 1/2C = (12π mi)/2 = 6π mi ≈ 18.8 mi
When x = 6.4, y=117, therefore
15*6.4 + b = 117
b = 117 - 96 = 21
Confirm this value by checking (6.6, 120).
15*6.6 + 21 = 120 (Correct)
Answer: b = 21
15% and the corresponding 0.15 is by necessity unit-less; it's just a multiplier. If you run up a $1 bill and wish to tip 15%, multiply $1 by 0.15, obtaining $0.15.
Then the total due would be $1 plus $0.15, or $1.15.
Note that $0.15
-------- = 0.15 is unit-less
$1
Answer:
3
Step-by-step explanation:
Solving the inequality gives ...
x/9 < 2/5
x < 18/5 . . . . multiply by 9
Applying the problem restrictions, we have ...
0 < x < 3.6 . . . . . x is an integer
Solutions are {1, 2, 3}. There are 3 distinct possible values for x.
Answer: 7
Explanation:
List out the factors of 120 until we hit a gap
1,2,3,4,5,6,8
Note that 7 is not shown above. We can see that 120/7 = 17.14 approximately meaning that 7 doesn't go evenly into 120. So this is why 7 isn't a factor. Something like 3 is a factor because 120/3 = 40 is a whole number result.
Also, 7 is prime. The only factors of 7 are 1 and itself. This means that 7 and 120 do not have any common factors other than 1. The GCF of 7 and 120 is 1, leading to the two numbers being relatively prime
Side note: The term "coprime" is sometimes used in place of "relatively prime"
