A store is having a sale on almonds and jelly beans. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $34. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $17. Find the cost for each pound of almonds and each pound of jelly beans.

Almonds: $2

Jelly Beans: $3.5

Step-by-step explanation:

Let the cost of a pound of almonds be A and the cost of a pound of jelly beans be J.

3A + 8J = 34 (Equation 1)

5A + 2J = 17 (Equation 2)

Use simultaneous equations.

Times equation 2 by 4

4(5A + 2J = 17) = 20A + 8J = 68

(20A + 8J) - (3A + 8J) = 68 - 34

17A = 34

A = 2

3A = 6

34 - 6 = 28

28/8 = 3.5

Checking:

3(2) + 8(3.5)

= 6 + 28

= 34

5(2) + 2(3.5)

= 10 + 7

= 17

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55

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36