Answer:
The number of chicken and cows should be 19 and 11.
Step-by-step explanation:
The number of chicken and cows should be 19 and 11.
Given that,
The farm has 30 chickens and cows, and there are 82 chicken and cow legs all together.
Let x represent the number of chickens in the farm.
Let y represent the number of cows in the farm.
Based on the above information, the calculation is as follows:
x + y = 30
Since a chicken has 2 legs and a cow has 4 legs.
So,
2x + 4y = 82 - - - - - - - - - - - - 1
Now
Substituting x = 30 - y into equation 1, it becomes
2(30 - y) + 4y = 82
60 - 2y + 4y = 82
- 2y + 4y = 82 - 60
2y = 22
y = 11
Now
x = 30 - 11
= 19
Answer:
3
Step-by-step explanation:
An equilateral triangle means all sides have the same length and there are 3 sides to a triangle. Therefore, the answer is 3.
Let the actual value of the stool be x.
So if the carpenter sells the stool x rupees he neither loses, now wins anything.
67.50 is the value x - 10% of x, that is:
67.50=x-0.1x
67.50=0.9x
x=67.50/0.9=75 (rupees) is the actual value of the stool.
Selling the stool for 82.50 rupees, the carpenter clearly would make a profit, say of y% of that actual value, that is y%*75.
So using the same method:
82.50=75+y%*75
y%*75=82.50-75=7.5
we can make the calculations, but clearly 7.5 is 10% of 75
Answer: 10% gain.
The lengths of HJ and JK are 50 and 72 respectively.
Given: J is between H and K. the length of HJ=2x+4, JK=3x+3, and HK=22.
The line HJ and JK are collinear then the total length is given as: HJ+JK=HK
substitute values
⇒ (2x+4)+(3x+3)=22
⇒ 5x+7=22
⇒ 5x=22-7
⇒ 5x=15
⇒ x=3
Thus, the length of HJ is (2x+4)=(2*3+4)=10
And the length of JK is (3x+3)=(3*3+3)=12
Learn more about collinear lines here: brainly.com/question/27943430
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