Answer: the price of a bag of popcorn is $5.3
Step-by-step explanation:
Let x represent the price of one drink.
Let y represent the price of one bag of popcorn.
Robert spends a total of $65.25 on 4 drinks and 9 bags of popcorn. This is expressed as
4x + 9y = 65.25- - - - - - - - - - - - - - -1
Robert spends a total of $51.75 on 8 drinks and 3 bags of popcorn.
This is expressed as
8x + 3y = 51.75- - - - - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 4, it becomes
32x + 72y = 522
32x + 12y = 207
Subtracting, it becomes
60y = 315
y = 315/60
y = 5.25
. Multiplying the denominator by gives
Subtracting this from the numerator gives a remainder of
. Multiplying the denominator by gives
and subtracting this from the previous remainder gives a new remainder of
This last remainder is exactly the same as the denominator, so divides through it exactly and leaves us with 1.
What we showed here is that
and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:
which matches the original numerator.
Answer:
7
Step-by-step explanation:
There are 44 children and there are 30 more kids than the
leaders x 2 so 44 -30 and you half 14 so 7
Answer:
Step-by-step explanation:
The centroid is the intercession of medians.
The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
<u>BE is the median and point G is 2/3 of the distance from E:</u>
- GE = 2/3BE = 2/3(21) = 14
<u>Then BG is:</u>
- BG = BE - GE = 21 - 14 = 7
<u>The answer is</u> BG = 7, GE = 14
Answer: C. 75 units³
Step-by-step explanation: