Joshua bought five apples and four oranges. The total amount he paid was at most Php 200. If x represents the cost of each apple and y the cost of each orange, which of the following mathematical statements represents the given situation? A. 5x + 4y ≥ 200 C. 5x + 4y > 200 B. 5x + 4y ≤ 200 D. 5x + 4y < 200

The verbal translation for the difference of m and 7 increased by 15

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe