(B) 8 less than the product of 3 and n
Here, we are given an equation 3n - 8
Let us consider each of the options one by one
(A) the product of 3, n and 8 will be written as 24n. Hence this isn't the correct answer.
(B) 8 less than the product of 3 and n will be written as 3n - 8. This matches our equation and hence is the correct answer.
(C) n minus 8 times 3 will be written as 24 - n. Hence, this is also incorrect.
(D) 3 times n less than 8 will be written as 8 - 3n. Thus, this is also eliminated.
Therefore, option B is the correct answer.
Learn more about expressing equations here-
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P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is ![\frac 1 2 bh = \frac 1 2 (6)(4) = 12](https://tex.z-dn.net/?f=%20%5Cfrac%201%202%20bh%20%3D%20%5Cfrac%201%202%20%286%29%284%29%20%3D%2012)
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
![A = \frac 1 2 | 7(6)-6(1) + 1(2)-6(4) + 4(6)-2(7) | = \frac 1 2 |24| = 12](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%201%202%20%7C%207%286%29-6%281%29%20%2B%201%282%29-6%284%29%20%2B%204%286%29-2%287%29%20%7C%20%3D%20%5Cfrac%201%202%20%7C24%7C%20%3D%2012)
Answer: 310 centimeters square of paper
Explanation: to find the answer you need to know the surface area of the box. So you use the formula SA = 2ab+2bc+2ac
A=7
B=10
C=5
After inputting the values you get:
SA = 2(7)(10) + 2(10)(5) + 2(7)(5)
and after simplifying:
SA = 140+100+70
SA=310
Answer: 2
Formula for cube is x^3 = 8
2^3 = 8