Answer:
x = 35
Step-by-step explanation:
Solve for x:
5 (x + 20) = 7 x + 30
Expand out terms of the left hand side:
5 x + 100 = 7 x + 30
Subtract 7 x from both sides:
(5 x - 7 x) + 100 = (7 x - 7 x) + 30
5 x - 7 x = -2 x:
-2 x + 100 = (7 x - 7 x) + 30
7 x - 7 x = 0:
100 - 2 x = 30
Subtract 100 from both sides:
(100 - 100) - 2 x = 30 - 100
100 - 100 = 0:
-2 x = 30 - 100
30 - 100 = -70:
-2 x = -70
Divide both sides of -2 x = -70 by -2:
(-2 x)/(-2) = (-70)/(-2)
(-2)/(-2) = 1:
x = (-70)/(-2)
The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:
Answer: x = 35
Given:
The length of the candle remaining unburned, in inches, can be modeled by the equation

where, t represents the number of hours since the candle was lit.
To find:
The slope and its interpretation in the context of the problem.
Solution:
Slope intercept form of a linear function is

where, m is slope and b is y-intercept or initial value.
We have,

It can be written as

The coefficient of t is -1. So, using slope intercept form the slope of this equation is -1.
Here, -1 means length of the candle remaining unburned is decreasing at the rate of 1 inch per hour.
Answer:
Use your brain
Step-by-step explanation:
The symbols, you mean? Those are called "parentheses".