6-6x= -24
Subtract 6 from -24 = -30
divide -30 by -6= 5
x=5
Answer:
m=3, n = 7
Step-by-step explanation:
Assuming m and n are integers, the following are the possible values of m and n
Let m = 1, then m³ = 1 and n= 189
If m = 2 we get 8n = 189 and 189/8 is not an integer so m ≠ 2
If m = 3, we get 27n = 189 and n = 189/27 = 7
Any higher integer values of m will not result in n being an integer and I am assuming m > 1 so the correct answer is m=3, n = 7
Answer:
r + 69x + 48 / x + 6
Step-by-step explanation:
Team A: 15 points
Team B: 3 points
Team A has twelve more points than Team B:
A = B + 12
Team A has five times as many points as Team B:
A = B × 5
A = 5B
substitute "A" with "B + 12" to solve for B:
A = 5B
(B + 12) = 5B
B + 12 = 5B
12 = 5B - B
12 = 4B
3 = B
Team B has 3 points
now substitute "B" with 3 to solve for A:
A = 5B
A = 5(3)
A = 15
Team A has 15 points
Check your answer by inputting both values into either equation:
A = 5B
(15) = 5(3)
15 = 15 ✔
A = B + 12
(15) = (3) + 12
15 = 15 ✔
"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to
5⁻⁴ / 5³
So you can just combine exponents.
5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷
Final answer: 1/5⁷
