Answer:
10.31 pounds
Step-by-step explanation:
First, we multiply 1.3 x 2 because he is gaining 1.3 for the next TWO weeks.
1.3 x 2 = 2.6
Now, add 7.71 + 2.6 because that is the weight he started with.
7.71 + 2.6 = 10.31
Her brother will weight 10.31 pounds if he is 7.71 lbs and continues to gain 1.3 pounds each week for two weeks.
We are told that the first term is 2. The next term is 7(2) = 14; the third term is 7(14) = 98. And so on. So, the first term and the common ratio (7) are known.
The nth term of this geometric series is a_n = 2(7)^(n-1).
Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.
What is the third term? We expect it is 98. 2(7)^(3-1) = 2(7)^2 = 98. Right.<span />
The tank is leaking at the rate of 6 gallons per hour.
If you do nothing but sit there and watch it all afternoon,
here's what you'll see:
First hour . . . . 6 gallons leaks out
Second hour . another 6 gallons leaks out
Third hour . . . another 6 gallons leaks out
Total gone after 3 hours: (6 + 6 + 6) = 18 gallons .
Answer:
X= 17.5
Step-by-step explanation:
the outside of the triangle always = 180
so you need to add up all the sides and equal to 180
5x+35+x+5+2x=180
add like terms
8x+40=180
get the x alone
x=17.5
