Answer:
4 goats
Step-by-step explanation:
Let us represent
Number of quails = x
Number of goats = y
Quails have 2 legs
Goats have 4 legs
Hence:
There are 6 animals in the pen some are quails and some are goats
x + y = 6...... Equation 1
x = 6 - y
if there are 20 legs in all how many quails
2x + 4y = 20..... Equation 2
We substitute 6 - y for x in Equation 2
2(6 - y) + 4y = 20
12 - 2y + 4y = 20
Collect like terms
- 2y + 4y = 20 - 12
2y = 8
y = 8/2
y = 4 goats
The number of goats there are 4 goats
Angle 5 is vertical to angle 3.
Answer: 6.5 feets
Step-by-step explanation:
The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.
In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,
1:16 = x:104
1/16 = x/104
16x = 104
x = 104/16 = 6.5feets
So the length of the model is 6.5 feets
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