To determine the number of possible arrangements for 6 out of 8, we should use combinations. That is
ₐC₆ = 8!/(6!2!)
Answer: b. Combination
The bicycle with a 30-inches diameter rolls approximately 28.8 more than a tire with the diameter with 21-inches.
<u><em>How to solve:</em></u>
- First use the formula: C = 3.14d
- Replace the d value with 30 and solve the equation:
C = 3.14 x 30 ⇒ 94.2477796077
- Then solve the equation again but 21 as the d value:
C = 3.14 x 21 ⇒ 65.9734457254
- Then subtract 65.9734457254 from 94.2477796077 to get the approx. answer of 28.8
<span>(a) Create a chart of values and write an equation to find the total cost, C in terms of the number of days d.
C = 10d + 20
</span><span>(b) Use the equation you created in Part (a) to find the cost of renting a bike for 5 days.
</span>
C = 10d + 20
<span>C = 10(5) + 20= 50 + 20 = 70
$70 for 5 days
</span>
Answer:
.
Step-by-step explanation:
Let 
and 
denote the two endpoints.
The formula for the midpoint of these two points would be:
.
(Similar to taking the average of each coordinate.)
In this question, it is given that 
whereas 
. Substitute these two values into the expression for the coordinate of the midpoint:
-coordinate of the midpoint: 
.
-coordinate of the midpoint: 
.
Solve these two equations for 
and 
: 
whereas 
.
Hence, the coordinate of the other point would be .
