What is the value of n?

5n + 8=30

a 3 1/5

b 4 2/5

c 6

d 7 3/5

B

Explanation:

Solve for n:

Subtract 8 on both sides.

5n + 8 = 30

       -8    -8

Divide by 5 on both sides.

5n = 22

---    

5        5

Getting a solution of 4 2/5.

n = 4 2/5

Check:

5(4 2/5) + 8 = 30

22 + 8 = 30

30 = 30

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb