Answer:
Speed of the first train = 365 mph
Speed of the second train = 356.2 mph
Step-by-step explanation:
Let speed of First train = a
Let speed of the second train = b
The sum of the speeds of two trains is 721.2 miles per hour.
a + b = 721.2 mph
If the speed of the first train is 8.8mph faster than that of the second train
a = b + 8.8 mph
We substitute b + 8.8 mph for a
a + b = 721.2 mph
b + 8.8 mph + b = 721.2 mph
2b + 8.8 mph = 721.2 mph
2b = 721.2 mph - 8.8 mph
2b = 712.4 mph
b = 712.4 mph/2
b = 356.2 mph
a = b + 8.8 mph
a = 356.2 mph + 8.8 mph
a = 365 mph
Answer:
7x - 8
Step-by-step explanation:
5x + 2 + 2x - 10
Rearrange terms:
5x + 2x - 10 + 2
Combine like terms (add 2x and 5x):
= 7x - 10 + 2
Combine like terms (add -10 and 2):
= 7x - 8 (This is the simplified form).
Answer: 1 inch = 9 yards
Step-by-step explanation:
From the question, we are informed that Rita drew a scale drawing of a picnic area near the river and that the picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.
From the above, we can see that for every 1 inch, there are (135/15) = 9 yards. Therefore, the scale used Is:
1 inch = 9 yards
If it is 1/(3x+2), 3x+2≠0 =>x≠-2/3, the domain is all real number except -2/3
if it is 1/(3x)+2, 3x≠0, x≠0, the domain is all real number except 0
It is hard to tell from your equation what the demonstrator is.
Answer:
-8, -4, 0, 4, 8, 12
Step-by-step explanation:
The nth term Tn of an arithmetic sequence with a common difference d and a first term a is given as
Tn = a + (n - 1) d
Hence if the first term is a and the common difference is d then
the
2nd term = a + 4
3rd term = a + (3 - 1) 4 = a + 8
4th term = a + (4 - 1) 4 = a + 12
5th term = a + (5 - 1) 4 = a + 16
6th term = a + (6 - 1) 4 = a + 20
If the sum of these six numbers is 12 then
a + a + 4 + a + 8 + a + 12 + a + 16 + a + 20 = 12
6a + 60 = 12
collect like terms
6a = 12 - 60
6a = -48
divide both sides by 6
a= -8
the numbers are
a = -8
2nd term = a + 4 = -8 + 4 = -4
3rd term = a + (3 - 1) 4 = a + 8 = -8 + 8 = 0
4th term = a + (4 - 1) 4 = a + 12 = -8 + 12 = 4
5th term = a + (5 - 1) 4 = a + 16 -8 + 16 = 8
6th term = a + (6 - 1) 4 = a + 20 = -8 + 20 = 12