Answer:
Price of hamburgers = $2
Price of white-dogs = $3
Step-by-step explanation:
Let
The number price of hamburgers be x
The number price of white-dogs be y
Then the first family buys 3 hamburgers and 2 white -dogs for $13
3x + 2y = 13-----------------------------(1)
Another first family buys 2 hamburgers and 5 white -dogs for $16
2x + 5y = 16----------------------------(2)
To solve let us multiply eq(1) by 2 and eq(2) by 3, we get
6x + 4y = 26-----------------------------(3)
6x + 15y = 48----------------------------(4)
subracting (3) from (4)
6x + 15y = 48
6x + 4y = 26
(-)
-------------------------
11y = 22
---------------------------
y =2
Now substituting the value of y in eq(1),
3x + 2(2) = 13
3x + 4 = 13
3x = 13-4
3x = 9
x =
x =3
Using Substitute method:
Replace y value of equation 2 into equation 1:
4x + (x+6) = 1
Solve for x:
4x + x + 6 = 1
5x = 1 - 6
5x = -5
x = -5/5
x = -1
Pick any of the two equation, replace x with it's value -1 and solve for y:
y = (-1) + 6
y = -1 + 6
y = 5
Solution: (-1, 5)
Answer:
The residual value is the difference between the observed value (from the scatter plot) and the predicted value (from the line of best fit).
Step-by-step explanation:
The residual value is the difference between the observed value (from the scatter plot) and the predicted value (from the line of best fit).
Residual Value = Observed Value - Predicted Value
<em>Since the residual value of -4.5 is negative, we can say the predicted value is larger than the observed value. In other words, the line of best fit is "above" the scatter plot point in that specific point.</em>
Answer: 16
Step-by-step explanation:
40 / 5 = 8 = 1/5 of 40
8 × 3 = 24 = 3/5 of 40
40 - 24 = 16
<span>Addition property of equality</span>
