<span>A bar graph or pie chart would be good visualization method to demonstrate how many observations of a certain value have been made. The bar graph and pie chart would also provide slightly different perspectives on the proportion of observed values recorded.</span>
Given the equation:

(a) You can identify that the student applied the Subtraction Property of Equality by subtraction 3 from both sides of the equation:

However, the student made a mistake when adding the numbers on the right side.
Since you have two numbers with the same sign on the right side of the equation, you must add them, not subtract them and use the same sign in the result. Then, the steps to add them are:
- Add their Absolute values (their values without the negative sign).
- Write the sum with the negative sign.
Then:

(b) The correct procedure is:
1. Apply the Subtraction Property of Equality by subtracting 3 from both sides (as you did in the previous part):

2. Apply the Multiplication Property of Equality by multiplying both sides of the equation by 6:

Hence, the answers are:
(a) The student made a mistake by adding the numbers -18 and -3:

(b) The value of "x" should be:
Answer:
15 dozens of cakes
Step-by-step explanation:
It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.
So,
2 dozens of velvet cakes, i.e.
2 x 12 = 24 red velvet cakes
Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.
Similarly,
3 dozens of gingerbread spice cakes, i.e.
3 x 12 = 36 gingerbread spice cakes
Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.
Therefore the total number of cakes is = 72 + 108
= 180 cakes.
We know 1 dozen = 12
Therefore dividing 180 cakes by 12, we get

= 15 dozen cakes.
Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.
Answer:
1.) Slope = -1.5
2.) y-Intercept = 11.5
3.) y = -1.5x+ 11.5
Step-by-step explanation:
1.) Slope
Every time x decreases by two units, y increases by three units.
Slope = m = Δy/Δx = 3/(-2) = -1.5
2.) y-intercept
The y-intercept (b) is the value of y when x = 0.
When x = -1, y = 13.
If we increase x by 1 unit, x will equal 0.
The slope tells us that when x increases by 1 unit, y decreases by 1.5 units.
y = 13 - 1.5 = 11.5
The y-intercept is at y = 11.5.
3.) Equation
The equation for a straight line is
y = mx + b
m = -1.5 and b = 11.5, so
y= -1.5 x + 11.5
The figure below shows your points and the graph of y = -1.5x + 11.5, with a y-intercept at x = 0, y = 11.5.