Answer:
8 1/2 miles
Step-by-step explanation:
Please use " ' " to indicate fractions:
Andrea rode her bike 3 2/3 miles on saturday and 4 5/6 miles on sunday.
Add together 3 2/3 and 4 5/6. The LCD is 6, so 3 2/3 should be rewritten as 3 4/6. Now 3 4/6 and 4 5/6 have the same denominator, 6.
3 4/6
+4 5/6
-----------
7 9/6. Note that 9/6 = 1 1/2, so rewrite
7 9/6 as 8 3/6, or 8 1/2.
She biked 8 1/2 miles in all.
I'm going to go right ahead and assume that we're talking about a linear equation.
The linear equation passing through the points given is y=3x+4, since it satisfies both of the points given.
Y - y1 = m(x - x1)
slope(m) = -3/7
(5,8)...x1 = 5 and y1 = 8
now we sub
y - 8 = -3/7(x - 5) <===
Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
