one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.
isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!
Answer:
23
Step-by-step explanation:
P E M D A S
8+6÷2+(2+10)
P)
8+6÷2+(2+10)
8+6÷2+(12)
E)
M)
D)
8+6÷2+(12)
8+3+12
A)
8+3+12
11+12
S)
The final answer is 23.
Answer: all i know is that these people are walking on some glowing-red-hot bearings
Step-by-step explanation:
Answer:
4917
Step-by-step explanation:
<u>Given sequence: </u>
This is AP with common difference of 1, the first term of 42 and the last term of 107
<u>Number of terms:</u>
<u>Sum of the terms:</u>
- Sₙ= 1/2*66*(42+107) = 4917
<u>Answer is:</u> 4917
We can use the vertical angle theorem which states that any two opposite angles are congruent. So, you can just set the two measures equal to each other and solve for x:




So, your answer is
20°.