A student claims that he can solve 12x + 8y = 40 and 4x + 5y = 18 for x and y by adding the first equation to a multiple of the second equation. He can then use the new equation and the first
equation to create a new system that has the same solution as the original system. The student
begins by listing four different equations.
Determine whether the student can use that equation to replace the second equation and create a
new system that has the same solution. Select Yes or No for each equation.
Yes No
12x + y = 40 00
12x + 10y = 36 00
20x + 16 y = 48
20x + 18y = 76
O
O

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?