Define variable- 4.5x
Equation - 15+ 4.5x =42
Solution- x=6
15+ 4.5x =42
4.5x = 27
X=6
67.8: 6.78, 0.678, 0.0677
456.8: 45.68, 4.568, 0.4568
531.20: 53.12, 5.312, 0.5312
The pattern here is that the number of 0s there are in the digit of whatever you are dividing by, that is how many places you move the decimal place to the right. For example, by dividing 67.8 by 100, the decimal place has been moved 2 places to the right, resulting in the number 0.678
Answer:
n = -4
Step-by-step explanation:
2 - 1/2 n = 3n + 16
Combine the constants by subtracting 2 from both sides.
-1/2n = 3n + 14
Combine the variable by subtracting 3n from both sides.
-7/2n = 14
Multiply both sides by 2 to simplify the fraction.
-7n = 28
Isolate n by dividing by -7 on both sides.
n = -4
Check.
2 - 1/2(-4) = 3(-4) + 16
2 + 2 = -12 + 16
4 = 4
Your answer is correct.
Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be = 80
ii) let the second term be = . r = 80 × r = 60 ∴ r = = 0.75
iii) let the third term be = . r = 60 × r = 45 ∴ r = = 0.75
iv) let the fourth term be = . r = 45 × r = 33.75 ∴ r = = 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.