Answer:
Heres the answer hope this helps! :)
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.
Answer:
Sale price is $2.58.
Paid with tax is $2.73
Step-by-step explanation:
If the make-up is originally $4.30 and you receive a 40% discount. This means you'll pay 60% of the price since 100-40=60.
To find this price, 60% as 0.6 is multplied with the price. 0.6*4.30 = $2.58
This is the sale price.
When you pay you will pay 6% tax or 0.06 of the price. Find this by multiplying $2.58 by 1.06.
2.58(1.06) = $2.73
Answer:
0.249 is the required proportion.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 822
Number of people who preferred foreign cars over domestic, x = 205
We have to find the proportion of new car buyers who prefer foreign cars.
Formula:
Putting values, we get,
Thus, 0.249 is the proportion of the new car buyers who preferred foreign over domestic cars..
