Answer:
B. The variable s represents the number of students in each class.
C. The coefficient 14 represents the number of classes in the 9th grade.
Step-by-step explanation:
The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5 colored ropes the total number of ropes will be 5*5= 25.
In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30
We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.
Answer:
The man covers 200 ft in 40 seconds.
Step-by-step explanation:
A person is moving on the sidewalk from one end to the other end.
He walks 40 feet in 8 seconds.
Therefore his speed = 
= 
= 5 ft/
He covers the sidewalk distance at a rate of 5 feet every second.
To calculate the time taken to cover 200 ft,
time = 
time =
<u>time = 40 seconds</u>
Hence the man covers 200 ft in 40 seconds.
The length is 7 and the width is 3
Answer:
Explanation:
1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.
2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.
Hence, you must use Pythagoras to find that distance.
3. Pythagoras
- hypotenuse² = leg₁² + leg₂²
- hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²
, which is rounded to the neartest tenth of a mile.