Answer:
Terrence's
Step-by-step explanation:
The length of the square that will be cut out is the height of the box.
1. a
Anya's method: 8.5 -1.5 =7, 11- 1.5 =9.5, the height is 1.5, so the volume is height x length x width which is 1.5 x 9.5 x 7 =99.75 squared inches.
Terrence's method: 8.5-3 = 5.5, 11-3 = 8. Vol= 5.5 x 8 x 3 =132 squared inches. 99.75 < 132 squared inches, Terrence's idea would create larger volume.
1. b
The box's size depends on the length/width/height of the cardboard being cut, which is why different measurements / cutting methods for the same size cardboard can result in different box sizes.
2. The square would be cut from all four corners, therefore the sum of the 2 squares on the cardboard cannot exceed the short side of the cardboard. The shorter side of the cardboard is 8.5 inches, divided by 2 = 4.25 inches, hence the squares cannot be larger than 4.25 inches. Keep in mind that if you cut exactly 4.25 inches you will have a strip of 2.5 inches width that cannot be turned into a box.
If you want to cut 5 inches squares out, depending on how you draw it, it would either overlap or go outside of the paper because 5+5 is ten, surely on the 11 inches side that would still be perfectly fine but for the 8.5 inches side, there isn't any room for the 10 inches.
Step-by-step explanation:
11.3x-12 for x=5
=3(5)-12
=15-12
=3
12.45+15(n-1) for n=6
=45+15(6-1)
=45+15(5)
=45+75
=120
That's true. As x increases, the log of 7 times x also increases. Therefore, the statement provided is true.
Answer:
Step-by-step explanation:
As the six-sided number cube had six sides, there are six events which could occur. There is only one interger less than 2 (1), therefore the probability of rolling a number less than 2 is 
.
There are two events which could occur when flipping a coin. This means the probability of flipping heads is 
.
To find the probability of both of these happening, you must multiply the fractions together by multiplying together both the denominators and numerators, therefore:
× =
It is 1.575×10∧10 as you can get the exponent number by counting the digit after the first number which is not 0 from the left.
