Answer: The speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.
Step-by-step explanation:
Given: A red horse and a black horse raced on a 1-mile-long circular racetrack.
Time taken by red horse = 120 seconds
Time taken by black horse = 150 seconds
Speed = ![\dfrac{Distance}{Time}](https://tex.z-dn.net/?f=%5Cdfrac%7BDistance%7D%7BTime%7D)
So, speed of red horse =![\dfrac{1}{120}\text{ mile per second}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B120%7D%5Ctext%7B%20mile%20per%20second%7D)
Since 1 mile = 5280 feet
Speed of red horse = ![\dfrac{5280}{120} =44\text{ feet per second}](https://tex.z-dn.net/?f=%5Cdfrac%7B5280%7D%7B120%7D%20%3D44%5Ctext%7B%20feet%20per%20second%7D)
Similarly,
Speed of black horse = ![\dfrac{5280}{150} =35.2\text{ feet per second}](https://tex.z-dn.net/?f=%5Cdfrac%7B5280%7D%7B150%7D%20%3D35.2%5Ctext%7B%20feet%20per%20second%7D)
Hence, the speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.
Step-by-step explanation:
Sequence is defined as arrangement f numbers in a specific or defined pattern. Sequence are categorized into
1) Arithmetic
2) Geometric
Arithmetic sequence are characterized by their common difference while Geometric sequence are characterized by their common ratio.
Given a sequance of numbers say;
T1, T2, T3...
The first term "a" of the sequence is T1
Common difference d = T2-T1 =T3-T2
Common ratio = T2/T1 = T3/T2
The formula for calculating nth term of an Arithmetic sequence is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
The nth term of a Geometric sequence is expressed as;
Tn = ar^{n-1}
r is the common ratio
Answer:
Step 1:
Texting plan costs = $20 per month,
Plus $0.05 per text message is sent or received.
Step 2:
Cost Equation
H(y)=20+0.05y
Step-by-step explanation:
Answer:
Improper: 29/5 Mixed Number: 5 8/10
Step-by-step explanation:
Ok, to start off, make 5.8 a mixed number. That would be 5 8/10. Then, convert it into an improper fraction: 58/10. Finally, simplify the improper fraction to get: 29/5
Answer:
The first one.
Step-by-step explanation:
w + w is having 2 w's, which is obviously 2w.
2w + w would be equal to 3w.
2w - w would be equal to w.
w + 2 is just w + 2.