Hour one:
Eastbound train- 65 mi
Westbound train- 85 mi
150 miles apart
Hour two:
Eastbound train- 130 mi
Westbound train- 170 mi
300 miles apart
Eastbound train travels 32.5 miles in 30 min, Westbound train travels 42.5 miles in 30 min
Two and a half hours:
Eastbound train- 162.5 mi
Westbound train- 212.5 mi
The distributive property: a(b + c) = ab + ac
8 × 19 = 8 × (20 - 1) = 8 × 20 - 8 × 1 = 160 - 8 = 152
#11: First term is 2. Formula for the (n+1)th term is (previous term) + 3.
Thus, we have 2, 5, 8, 11, 14, ... This is an arithmetic sequence with common difference 3.
#12 First term is -4. Formula for the (n+1)th term is (previous term) + n^2.
Second term (n=2): -4 + (2^2) = 0
Third term (n=3) : 0+3^2 = 9
Fourth term (n=4): 9 + 4^2 = 25
Fifth term (n=5) : 25 + 5^2 = 50
Answer:
x = 5
Step-by-step explanation:
6x - 2(x + 4) = 12 use distributive property
6x + (-2)(x) + (-2)(4) = 12
6x - 2x - 8 = 12 add 8 to both sides
4x = 20 divide both sides by 4
x = 5