Susan saw birds and mice eating seeds on the ground. She counted 14 heads and 40 legs in total. How many birds and mice are on the ground?

Number of mice = 6

Number of birds = 8

Step-by-step explanation:

Given:

Total number of heads = 14

Total number of legs = 40

Find:

Number of birds

Number of mice

Computation:

Assume,

Number of birds = x

Number of mice = y

So,

x + y = 14

x = 14 - yEq1

We know that mice have 4 legs and birds have 2

So,

2x + 4y = 40

x + 2y = 20Eq2

From  Eq1 and Eq2

14 - y + 2y = 20

y = 6

Number of mice = 6

x = 14 - y

x = 8

Number of birds = 8

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

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step-by-step explanation: