Let x = number of quarters
since she has twice as many dimes as quarters,
Let 2x = number of dimes
The total value in $ is
0.25x + (0.10)(2x)
And it was said that when the numbers of quarters and dimes are interchanged, she would have $1.20 more than the original. So,
(New Value) = (Original Value) + $1.20
0.25(2x) + 0.10x = 0.25x + (0.10)(2x) + 1.20
Solving for x,
0.5x + 0.1x = 0.25x + 0.2x + 1.20
0.6x = 0.45x + 1.20
0.6x - 0.45x = 1.20
0.15x = 1.20
x = 1.20/0.15
x = 8 quarters
2x = 16 dimes
Its 1 1/2 or 1.5
hope it helps
D. (7, -5) is the coordinates of point A.
Answer:
The volume of the prism is 6 unit³
Step-by-step explanation:
In order to calculate the volume of the prism we first need to calculate the volume of each cube. The volume of a cube is given by the formula below:
volume cube = a³
Where a is the length of the side of the cube. So each cube has a volume of:
volume cube = (1/2)³ = 1/8 unit³
Since the cubes are filling the prism, the volume of the prism is the sum of the volume of all the cubes, in this case 48. Since all the cubes are equal, we can multiply the number of cubes by the volume of one cube in order to calculate the volume of the prism. We have:
volume prism = 48*volume cube
volume prism = 48*(1/8) = 6 unit³
I think it’s 12.56...... but it’ll work it out