Answer:
The number of duck is 32.
Step-by-step explanation:
Let x represent the number of rabbits.
Let y represent the number of ducks
From the question given:
The sum of rabbit and duck is 36 i.e
x + y = 36 .... (1)
The sum of the feets of the rabbit and duck is 80.
Rabbits has 4 legs
Duck has 2 legs
Therefore, the sum their feets (i.e 80) can be written as:
4x + 2y = 80 .... (2)
The equations are:
x + y = 36 .... (1)
4x + 2y = 80 .... (2)
Solving by substitution method:
From equation (1)
x + y = 36
Make x the subject
x + y = 36
x = 36 - y
Substitute the value of x into equation (2)
4x + 2y = 80
x = 36 - y
4(36 - y) + 2y = 80
Clear bracket
144 - 4y + 2y = 80
144 - 2y = 80
Collect like terms
- 2y = 80 - 144
- 2y = - 64
Divide both side by - 2
y = - 64/ - 2
y = 32
Therefore, the number of duck is 32.
Answer:
143 calories
Step-by-step explanation:
We can use a ratio to solve
110 calories x calories
----------------- = ---------------
28.4 grams 36.92 grams
Using cross products
110* 36.92 = 28.4 * x
Divide each side by 28.4
110*36.92 / 28.4 = x
143 calories = x
Answer:
r = 9/sin Ф or r = 9 csc Ф
Step-by-step explanation:
The polar form is represented as:
x = r cos Ф and
y = r sin Ф
We are given:
y = 9
Putting value in y = r sin Ф
9 = r sin Ф
=> r = 9/sin Ф
1/sin Ф = csc Ф
or, r = 9 csc Ф
15 units because 9-9=0 and 32-17=15
Answer:
1/8
Step-by-step explanation:
3/8-1/8-1/8=1/8
