Brett planning to build two new acrylic fish tanks. He wants the rectangular prism-shaped fish tanks to have the same width and volume. For one of the fish tanks, he plans to make the height of the fish tank 2 cm less than twice the width and the length 4 times the width • For the other fish tank, he plans to make the length 1 cm less than twice the width and the height 6 times the width if y represents the volume of the fish tanks, and x is the width of the fish tanks, which system of equations could represent this situation?

(a) calculate the molarity of a solution that contains 0.0345 mol nh4cl in 400 ml of solution. (b) how many moles of hno3 are present in 35.0 ml of a 2.20 m solution of nitric acid? (c) how many milliliters of 1.50 m koh solution are needed to supply 0.125 mil of koh ?

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. the right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. which conclusion can be made from the given information? the volume of the triangular prism is half the volume of the cylinder. the volume of the triangular prism is twice the volume of the cylinder. the volume of the triangular prism is equal to the volume of the cylinder. the volume of the triangular prism is not equal to the volume of the cylinder.

Find the area of the triangle formed by the origin and the points of intersection of parabolas y=−3x^2+20 and y=x^2−16.