X= price of hotdog
y= price of hamburger
Set up equations for each stand. Multiply number of hotdogs and hamburgers sold by their prices (x and y) and add together to equal the total sold at each stand.
FIRST CONCESSION STAND
164x + 74y= $706
SECOND CONCESSION STAND
256x + 61y= $884
STEP 1
to solve by elimination, multiply first concession stand equation by 61; this will eliminate the y term
164x + 74y= $706
(61)(164x) + (61)(74y)= (61)(706)
10,004x + 4,514y= 43,066
STEP 2
multiply second concession stand equation by -74
256x + 61y= $884
(-74)(256x) + (-74)(61y)= (-74)($884)
-18,944x - 4,514y= -65,416
STEP 3
add step 1 & 2 equations together to solve for x
10,004x + 4,514y= 43,066
-18,944x - 4,514y= -65,416
y terms "cancel out"
-8,940x= -22,350
divide both sides by -8,940
x= $2.50 hotdog
ANSWER: $2.50 is the price of a hotdog.
Hope this helps! :)
Answer:
68
Step-by-step explanation:
4+8*8
The arithmetic sequences are 3rd one, and 5th one as they are increasing or decreasing by a constant rate of change
Answer:
A) 63.36 years.
B) 100.42 years.
Step-by-step explanation:
We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.
A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.
Now let us solve for t using logarithm.
Therefore, it will take 63.36 years the population to be double.
B) Now we will find the number of years it will take the population to be triple of its size.
Now let us solve for t using logarithm.
Therefore, it will take 100.42 years the population to triple of its size.
Step-by-step answer:
Answer to problems of this kind is the reciprocal of the harmonic mean of the time required.
We need to find the average of the speeds, not the average of the time.
The respective speeds are 1/3 and 1/4.
The average of the speeds is therefore (1/3+1/4)/2 = 7/24 (harmonic mean of the time taken).
The time required is therefore the reciprocal of the unit speed,
T = 1/(7/24) = 24/7 = 3 3/7 minutes, or approximately 3.43 minutes.
