Answer: Hello mate!
if x is the amount of hours worked, 45 is the slope and the y intercept is 35.
A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:
y = 45*x + 35
this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.
Then the correct answer is
C) Grace's wage is $45 an hour, and it appears that she received a signing bonus of $35.
2/ 3 - (3 - 1) * 3 - 1 = -4
Simplify
= 2/-4
which is
= -2/4
Then simplify again
= -1/2
Answer:
∠ ABC = 53.5°
Step-by-step explanation:
The inscribed angle ABC is half the measure of the intercepted arc AC
∠ ABC = 
× 107° = 53.5°
Answers:
- Total equation: x+y = 80
- Legs equation: 2x+4y = 248
- How many ducks? 36
- How many cows? 44
====================================================
Further explanation:
- x = number of ducks
- y = number of cows
x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
- 2x = number of legs from all the ducks only
- 4y = number of legs from all the cows only
- 2x+4y = total number of legs from both types of animals combined
We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
------------
Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
------------
Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
