Answers:
- Total equation: x+y = 80
- Legs equation: 2x+4y = 248
- How many ducks? 36
- How many cows? 44
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Further explanation:
- x = number of ducks
- y = number of cows
x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
- 2x = number of legs from all the ducks only
- 4y = number of legs from all the cows only
- 2x+4y = total number of legs from both types of animals combined
We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
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Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
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Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
It is A because you are adding 3 to in if you were to subtract then it will go down not up.
Answer:
there was a 16% increase since 2010 to 2012
Step-by-step explanation:
lets say the train had 100 people on it in 2010 and in 2011 it had an 8% increase which then brings you to 8 plus 100 and you get 108.
Now in 2012 there was an increase 8%, so you will add 8 to your previous answer 108 and receive 116. So now there was 16 more passengers in 2012 than in 2010. Transfer the 16 passengers into 16% and you now have your answer.
Answer:
Step-by-step explanation:
Given that a consumer magazine article titled "How Safe Is the Air in Airplanes" reports that the air quality, as quantified by the degree of staleness, was measured on 175 domestic flights.
The purpose was to study about the safety of all flights as a whole.
Since all flights cannot be measured within a reasonable time, a sample of 175 domestic flights were taken.
a) The population of interest here would be the measure of safety of all the airplanes.
b) Sample is the 175 domestic flights selected
c) Characteristics of interest is the safety in travelling by air in Airplanes due to air quality.
Brand A: 32 Diapers, $8.99: about 28 cents per diaper
Brand B: 50 Diapers, $12.49: about 24 cents per diaper
You divide the amount of diapers by the money.
For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.
Brand B is the better deal since you save about 4 cents more.
