Answer:
13 sheep, 19 chicken
Step-by-step explanation:
You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as
and the number of chickens there are as
.
Because each sheep has 4 legs, the number of legs for each sheep would be
. Similarly, because each chicken has 2 legs, the number of legs for each chicken would be
. Each animal would have 1 head, so the number of heads would just be
and
. Because the number of legs in total are 90,
. Because the number of heads in total are 32, 
There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation,
. Then, I would subtract that from the first equation, eliminating
.
. Solving for x gives 13. We can then plug that value into the second equation, making y be
. This means that
and
, meaning that there are 13 sheep and 19 chicken.
Answer:
The area is 21.
Step-by-step explanation:
30x + 30y = 450
20x + 25y = 345
answer: 3 square ft per minute
Cos (πt - 1) oscilates periodically between -1 and +1.
3Cos (πt - 1) oscilates periodically between -3 and +3.
The x-axis is the middle line. The equation of the x-axis is y = 0.
So the, the middle line is y=0.
Answer and Step-by-step explanation:
A Diophantine equation is simply an equation that relates whole numbers.
There are various types of Diophantine equations, but probably the most basic is the linear version: ax + by = c.
Different methods also abound for solving these types of equations:
- Coordinate geometry
- Modular arithmetic
- Induction
Hope this helps!