Answer:
Ducks = 8
Horses = 17
Step-by-step explanation:
From the question;
- Total number of animals = 25
- Total number of legs = 84 legs
We are required to determine the number of ducks and horses;
We need to know that;
A duck has two legs while a horse has four legs;
Assuming there were x ducks and y horses
Then;
x + y = 25 ................................Eqn 1
And;
2x + 4y = 84 .............................Eqn 2
Solving the two equations simultaneously we can get the number of each animal.
x + y = 25
2x + 4y = 84
Multiplying the first equation by 2, we get
2x + 2y = 50
2x + 4y = 84
Subtracting the two equations;
2x + 2y = 50
2x + 4y = 84
........................................................
- 2y = -34
y = 17
Solving for x
x = 25 -17
= 8
Therefore; there were 8 ducks and 17 horses in the field
Answer:
Width = 12 feet
Step-by-step explanation:
Given that,
Area of a rectangle is 168 square feet.
The ratio of the width to the length is 6:7.
Let the length is 7x and width is 6x.
According to question,
Area = 168 sq feet
l×b=168 sq feet
7x × 6x = 168
42x² = 168
x² = 4
x = 2
Length = 7x = 7(2) = 14 feet
Breadth = 6x = 6(2) = 12 feet
So, the width of the rectangle us 12 feet.
It would take 24 cubes.
Since you are calculating volume you have to multiply the Length by Width by Height.
3 x 2 x 4
6 x 4
24
Hope this helps! :D
Answer: Yes
Step-by-step explanation:
1. -8 (3) - 2(2) < 6 (Add in the co-ordinated where they belong)
2. -24 -4 < 6 (Simplify)
3. -28 <6
-28 is smaller than 6, so the answer will be yes!
105.92 if it’s needed in decimal form