Answer:
Equation: 
Solve for n: n = 112
Step-by-step explanation:
To first set up the equation, you need to look at the verbal description and translate into numbers and operations:
'three fourths a number' = 
'plus 8' = + 8
'is' =
'20 less' = - 20
'the number' = n
Put the expressions together:
'three fourths a number plus 8': 
'20 less than the number': n - 20
Set them equal to each other and solve:
Add 20 to both sides: 
Subtract 
from both sides: 
Multiply both sides by 
: 
Solve for n: n = 112
The minute hand has swept through 46 minutes on the clock. You have to set up a ratio to solve this:
You can compare the 60 minutes on a clock to 360 degrees because 60 minutes on a clock is one whole rotation. So then, you cross multiply and simplify:
Therefore, the minute hand has swept through an angle with a measure of 276 degrees.
Y =Mx + C
where M = gradient / slope
C = y intercept
comparing with y = 2x - 3
M = 2
C = -3
| 1 2 ||x| = |4| - | 3 -1 ||y| |6| <span>-3 | 1 2||x| = |4| </span>
<span>| 3 -1||y| |6| </span>
<span>|-3 -6||x| = |-12| </span>
<span>| 3 -1||y| |6 | </span>
<span>| 0 -7 ||x| = | -6 | </span>
<span>| 3 -1 ||y| | 6 | </span>
<span>y = 6/7 </span>
<span>x = 16/7</span>
