Answer:
867
Step-by-step explanation:
622+180+100=902
902-35=867
Answer:
1 theater
Step-by-step explanation:
Given
--- Popcorn
--- Movie
See attachment for the table that shows ticket and popcorn prices at five movie theater chains
Required
The number of theaters that supports the given inequality
The given inequality can be combined to give:

From the table entries, only one theater supports this inequality.
Where
--- Movie
--- Popcorn
Which gives:

Answer:
x = 3.85
Step-by-step explanation:
Given equation:
6ˣ = 1,000
now,
on taking log both sides, we get
⇒ log(6ˣ) = log(1,000)
or
⇒ log(6ˣ) = log(10³)
now we know the property of log function that
log(aᵇ) = b × log(a)
thus, applying the above property, we get
⇒ x × log(6) = 3log(10)
or
⇒ x × log(2×3) = 3log(10)
now,
we have another property of log function as":
log(A) = log(A) + log(B)
therefore,
x × [log(2) + log(3)] = 3log(10)
also,
log(10) = 1
log(2) = 0.3010
log(3) = 0.4771
Thus,
⇒ x × [0.3010 + 0.4771 ] = 3 × 1
or
⇒ x × 0.7781 = 3
or
⇒ x = 3.85
Let w = weight of each bag, kg
There are 222 bags and one backpack that weighs 4 kg.
The total weight of checked baggage is 35 kg, therefore
222w + 4 = 35
222w = 35 - 4 = 31
w = 31/222 = 0.1396 kg =139.6 g
Answer:
The equation to determine w is 222w + 4 = 35.