Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected 1.5x + 1.25y=105.5
step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
x + y = 78
step 3) solve for y in the second equation
y = 78 - x
step 4) substitute y = 78 - x in the first equation for the value of y and solve for x
1.5x + 1.25(78 - x)=105.50
1.5 x + 97.5 - 1.25x=105.50
.25x = 8
x = 32
step 5) plug in our value for x in the second equation and solve for y
x+y=78
32+y=78
y=46
answer 32 hamburgers and 46 hot dogs
Answer:
12 - 4i
Step-by-step explanation:
-2i ( 2+6i)
Distribute
-2i * 2 + -2i *6i
-4i - 12 i^2
We know that i^2 = -1 so replace it
-4i - 12(-1)
-4i + 12
Then put in the order a+bi where the real number comes first and the imaginary number comes last
12 - 4i
Answer:
m = 1
Step-by-step explanation:
(2,1) and (8,7)
m = (y2-y1)/(x2-x1)
m=(7-1)/(8-2)
m=6/6
m = 1
Answer: 2
Step-by-step explanation:
If the number was OUTSIDE the exponents it represents a movement up or down
If the number is inside the parenthesis and exponent ex: (x-1)^2 then it decides a movement on the left or right
However inside the parenthesis it is reversed, so a - is move to the right and a + is moved to the left, this making your answer (x-1)^2
- Gage Millar, Algebra 2 Tutor
Answer:
Step-by-step explanation:
Given
Required
Determine the coordinates of L
Since T is the midpoint of K and L, we make use of:
and
Solving for 
Multiply through by 2
Solving for 
Multiply through by 2
Hence: The coordinates of L is:
