14x + 70 + 20x + 8 = 180
34x + 78 = 180
34x = 102
x = 3
ABX = 14(3) + 70 = 112
CBX = 180 - 112 = 68
Let d be distance travelled when they are level , and t = time that nora took to get level with mason
for Nora
6 = d/t
d = 6t
for Mason
5 = d / (t + 35)
d = 5 ( t + 350
so 6t = 5(t + 35)
solve for t
Answer:
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line (or alternatively, a quantity that can be represented as an infinite decimal expansion).
<span>In an arithmetic sequence, if a4 = 18 and a10 = 30, determine a1, d, and an.
Then write the first four terms of the sequence.
Use the formula L = A + (N-1)D, where L represents the nth term.
Then, based upon the given info,
18 = A + (4-1)D and 30 = A + (10-1)D.
The first equation boils down to 18 = A + 3D, so that A = 18 - 3D. Subst. 18-3D for A in the second equation: 30 = 18-3D + 9D. Then 12=6D and D = 2.
</span><span>
Use </span>A = 18 - 3D to determine the value of A. Recall that D=2.
Then A = 18 - 3(2), or A = 18-6, or A = 12.
Then L = A + (N-1)D becomes L = 12 + (N-1)(2).
First term is 12. Next is 14; next is 16; last is 18.
