Afarmer looks over a field and sees 28 heads and 78 feet. some are goats, some are ducks. how many of each animal are there?

there are 11 goats and 17 ducks.

Step-by-step explanation:

Let x represent the number of goats in the field.

Let y represent the number of ducks in the field.

A farmer looks over a field and sees 28 heads and 78 feet. some are goats, some are ducks. A goat has one head and a duck also has one head. It means that

x + y = 28

A goat has 4 feets and a duck has two feets. It means that

4x + 2y = 78 - - - - - - - - - - - - - 1

Substituting x = 28 - y into equation 1, it becomes

4(28 - y) + 2y = 78

112 - 4y + 2y = 78

- 4y + 2y = 78 - 112

- 2y = - 34

y = - 34/- 2

y = 17

x = 28 - y = 28 - 17

x = 11

11 Goats and 17 Ducks

Step-by-step explanation:

Let goat be A and ducks be B

A farmer looks over a field and sees 28 heads.

Since all animals have a head, then

A + B = 28

A farmer looks over a field and sees 78 feet. Since goat has 4 feet and the duck has 2, then

4A + 2B = 78

That gives us 2 equations to solve simultaneously.

Then A = 11 and B = 17

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

company a

step-by-step explanation:

using the linear regression models , it is found that company a   pays about $14 more. but using the same regression (linear) company b pays about $10 more.

so company a pays more than b