Answer:
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Step-by-step explanation:
Answer:
The correct answer is 333 1/ 3 ml 30% solution and 166 2/ 3 ml of 45% solution.
step-by-step explanation:
Set up 2 equations. Let x be the 30% solution and y be the 45% solution. Then you have x + y =500 and .3x +.45y = .35*500. Then solve the system.
If you begin with 1.5 yd^3 of topsoil and want the topsoil to be only 4 inches deep, then the area of the garden can be found as follows:
Convert 4 in to yards: 4 in 1 yd
------- * ----------- = (1/9) yd
1 36 in
The dimensions of the garden are x (width) by 2x (length) by (1/9) yd (depth). The volume of topsoil would be 2x^2/9 = 1.5 yd^3.
Solving for x: (2/9)x^2 = 1.5 yd^3, or x^2 = (1.5 yd^3) (9/2)
Then: x = sqrt(6.75 yd^3) = 2.6 yd and 2x = 5.2 yd
Check: Does (2.6 yd)(5.2 yd)(1/9) = 1.5 cu yd? YES
Thus, the max size of the garden would be 2.6 yd wide, 5.2 yd long, and 4 inches (or 1/9 foot) deep.
Answer: The angle's sine is 0.6. Divide the measurement of the side adjacent to the angle with the measurement of the hypotenuse to find the cosine of the angle. Divide the measurement of the opposite side with the measurement of the adjacent side to find the tangent of the angle.