Answer:
1,187
Step-by-step explanation:
The nth term of an arithmetic sequence is expressed as;
an = a + (n-1)d
a is the first term
n is the number of terms
d is the common difference
Given the sequence 3, 11, 19, 27...
a = 3
d = 11-3 = 19-11 = 8
n = 149 (since we need the 149th term)
a149 = 3 + (149-1)(8)
a149 = 3+(148)(8)
a149 = 3+1,184
a149 = 1,187
Hence the 149th term is 1,187
Answer:
as below
Step-by-step explanation:
= 
2(4x + 17) = 7(6x)
8x +34 = 42x
34 = 42x-8x
34 = 34x
= x
1 =x :)
There are no real solutions
Answer:
180 cm
Step-by-step explanation:
Number of trials per team = 3
Distance per trial for team D's car is the same for each trial, let distance = x
Distance per trial for team C's car is 1cm farther than team D's distance and the same for each trial, hence, distance = x + 1 per trial
Total distance traveled by C = 543 cm
This means :
(x + 1) + (x + 1) + (x + 1) = 543
3x + 3 = 543
3x = 543 - 3
3x = 540
x = 540 / 3
x = 180
Hence, distance traveled per trial for team D's car = x = 180 cm
5x+3y=58
5x-3y=22
(3y gets cancelled bc 3y-3y=0, then add 5x with 5x, so you're left with)
10x=80, (divide both sides by 10)
x=8
Now we look for y. So choose one formula from the two (let's say 5x + 3y=58)
Substitute x for 8 so it will look like---- 5(8)+3y=58
Multiply 5*8--- so you get -- 40+3y=58
Subtract 40 from both sides and you're left with 3y=18
divide both sides by 3
you get y=6
In conclusion, x=8 and y=6 hence, (8,6)
