Hey There!
If i got this down right,
An = A1 + (n - 1)d
Sn = A1 + A2 + A3 + ... + An
A1 is given by
Sn = n (A1 + An) / 2
For Example
An = A1 + (n - 1)d
= 6 + 3 (n - 1)
= 3 n + 3
n = 50
Hope This Helps!!!
Answer:
2x + 4y = 32
4x + 3y = 44
Step-by-step explanation:
From the information supplied in the question, we can see that 2 adult tickets and 4 child tickets cost $32. This means we multiply the cost of an adult ticket by 2 and add it to the product of 4 child tickets and its price I.e y.
We can also see that to get a total cost of $44, 4 adult tickets and 3 child tickets were bought. Hence, we simply multiply the cost of an adult ticket by 4 and add it to the product of 3 child ticket and its price
3/4=0.75
0.75×500=375
375 of the 500 seats are filled
Answer:
upon graphing, it is linear
Step-by-step explanation:
you could set up an x-y table or you could graph it
if you graph it you'll see it's linear with a y-intercept of -2 and a slope of 9
all linear equations are functions except for vertical lines
Answer:
2 hours
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
For a kayak speed of k miles per hour in still water, the speed upstream is (k-2) and the speed downstream is (k+2). Over the distances given, the times are the same, so we can write ...
10/(k-2) = 14/(k+2)
Multiplying by (k+2)(k-2) gives ...
10(k+2) = 14(k -2)
10k +20 = 14k -28 . . . . . eliminate parentheses
48 = 4k . . . . . . . . . . . . . . add 28-10k
12 = k
Then the time for 28 miles downstream is ...
time = 28 / (12 +2) = 2 . . . . hours
It will take the person 2 hours to kayak 28 miles downstream.