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.
Step-by-step explanation:
PYTHAGORAS THEOREM

(200g / 1c) x (0.9g / 1c) x (1/2)
180 x (1/2)
90g
Answer:
60 degrees
Step-by-step explanation:
The sum of the angles in a triangle are 180 degrees. The angles look the same size, so divide 180 by 3, and you get 60 degrees
Answer:
Step-by-step explanation:
Part A: 5/26
Part B: 5/26+ 1/2 which is 18/26 or 9/13
Part C: 5/26 +21/25. 'without replacing' means there is one less option in the bag. So denominator becomes 26-1=25. Numerator is 21 because there are a total of 21 consonants in the alphabet. Since we removed a vowel and not a consonant, it will remain 21.