5 65,749
13,149 R4 2.
6 22,176
3,696 R0 3.
5 25,931
5,186 R1
4.
4 71,568
17,892 R0 5.
7 98,694
14,099 R1 6.
9 81,844
9,093 R7
When shrinking an image, the size of each side is shrunk by the scale factor. However the area is not shrunk by the same factor. Area is a squared measurement (when finding the area of a rectangle we take length x width; two measurements, so a squared answer), so the area will be shrunk by the scale factor squared; in this case the area is shrunk by 3² or 9. This means the new area would be 720/9 or 80 square inches.
Answer:
4. No solution
Step-by-step explanation:
To solve a system of equations, find the (x,y) solution that satisfies both equations. One method that can be used is substitution. It is done by substituting one function into the other function and simplify.
Substitute y = 4x - 6 into 8x - 2y = 14.
8x - 2(4x - 6) = 14
8x - 8x + 12 = 14
12 = 14 FALSE
Since the variable was eliminated and a false statement was found, there is no solution to this system.
Solve 3 and 5 similarly. If the variable is eliminated again, but a true statement is fund then the solution is infinite. If the variable is not eliminated then substitute it back into one equation to find the other.
Answer:
Because you are looking for square inches of wrapping paper, you are looking for the surface area of the box. A three-dimensional box has a top and bottom that are the same size, a front and back that are the same size, and 2 sides that are the same size...or SA = 2(top/bottom area) + 2(front/back area) + 2(side/side area). Our equation fills in nicely like this:
SA = 2(6 * 14) + 2(6 * 8) + 2(14 * 8)
SA = 2(84) + 2(48) + 2(112)
SA = 168 + 96 + 224
SA = 488 square inches of paper to wrap the box.
Step-by-step explanation:
