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andrezito [222]
3 years ago
10

Farmer Green sent his two children out to count the hens and sheep. His daughter counted 40 hens, and his son counted 100 legs.

How many of each animal is on the farm?
Mathematics
2 answers:
g100num [7]3 years ago
8 0

Answer:

40 hens, 5 sheep

Step-by-step explanation:

40 x 2 = 80 (hens have 2 legs)

100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs

20/4 = 5 so there are 5 sheep

xz_007 [3.2K]3 years ago
7 0

Answer:

40 hens, 5 sheep

Step-by-step explanation:

40 x 2 = 80 (hens have 2 legs)

100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs

20/4 = 5 so there are 5 sheep

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Answer:

a. -⅓

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Step-by-step explanation:

a. Gradient of line AB:

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Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

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c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

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We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

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Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10

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Answer:

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