Answer:
See below for answers and explanations
Step-by-step explanation:
Recall that
Therefore, and
Beth's speed was 60 mph.
<h3>
What is speed?</h3>
- The speed (commonly referred to as v) of an object in everyday use and kinematics is the magnitude of the change in its position over time or the magnitude of the change in its position per unit of time; it is thus a scalar quantity.
- The distance traveled by an object in a time interval is divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero.
- Velocity is not the same as speed.
To find what was Beth's speed:
Beth's data:
- time = 2 hrs; rate = r mph; distance = r×t = 2r miles
Tim's data:
- time = 1 hr; rate = r-6 mph; distance = r-6 miles
Equation:
- distance + distance = 174 miles
So,
- 2r + r - 6 = 174
- 3r - 6 = 174
- 3r = 180
- r = 60 mph (Beth's rate)
- r-6 = 54 mph (Tims's rate)
Therefore, Beth's speed was 60 mph.
Know more about speed here:
brainly.com/question/4931057
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Answer:
C: Permutation; Number of ways = 60
It is a permutation because the order matters of awarding the medals, therefore this problem is a permutation.
Solve this by:
5!/(5-3)!=60
Lets simplify each one of the rational expressions using the product rule of exponents:
and the quotient rule of exponents:
.
1.
2.
3.
4.
We can conclude that you should pair the rational expressions with their simplest form as follows:
Explanation:
Suppose you have the sum P+Q, and that P and Q have a GCF of g. Then the two terms P and Q can be written as ...
Using the distributive property, we can rewrite the sum as ...
P + Q = g·p +g·q = g(p +q) . . . . . g is the GCF; (p+q) is the other number
_____
<em>Example</em>:
P = 48 = 8·6
Q = 40 = 8·5
g = 8, p=6, q=5
P + Q = 48 + 40 = 8(6 +5) = 8·11