Solve 4x – 2(x + 1) = 3x + 10.
2 answers:
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Answer:
Step-by-step explanation:
GIVEN: A hotel charges a annual fee plus an additional
for each night you stay there.
TO FIND: average cost per night if you stay at the hotel for nights.
SOLUTION:
Annual fee charged by hotel
amount charged each night we stay there
Total number of nights we stay
Total amount paid for nights
Total amount paid
average cost per night
putting values,
average cost per night
Hence average cost per night if we stay at hotel for days is
Answer:
Step-by-step explanation:
When we take an average of something, we have to add up all the data on the somethings and then divide by the number of somethings we have. Ed takes 5 tests, and we have scores for them; we also have his current average. What we don't know for sure are 2 of the 5 test scores, but we have enough to determine what they are.
If one test has a score of x, and the other test is 3 points less than that, the score on that last test is x - 3. Putting all of that together into an average problem:
and simplfiying a bit:
. Multiply both sides by 5 to get
256 + 2x = 450; subtract 256 from both sides to get
2x = 194 and divide by 2:
x = 97
The one test score was a 97 and the other one, which was 3 less than that, was a 94.