Answer:
y = 10.5x - 37
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Equality Properties
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, 47)
Point (2, -16)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract/Add:

- Simplify:

<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 21/2x + b
- Substitute: -16 = 21/2(2) + b
- Multiply: -16 = 21 + b
- Isolate <em>b</em>: -37 = b
- Rewrite: b = -37
<u>Step 4: Write linear equation</u>
<em>Combine all parts.</em>
y = 21/2x - 37
y = 10.5x - 37
And we have our final answer!
change 20 in to ft
20/12 = 1 2/3 ft
4 ft x ft
------- = ---------------
5 /3 ft shadow 120 ft
using cross products
4 * 120 = 5/3 x
480 = 5/3 x
multiply each side by 3/5
480 * 3/5 = x
288 ft
Given the Histogram that summarizes the data obtained by Kemala:
(a) The Class Width is the length of the intervals.
In order to find the Class Width, you need to subtract the lowest value of each bar from the lowest value of the previous bar.
In this case, you get:

Therefore:

(b) You need to identify the number of beaches that had 10 or fewer pregnant turtles. Therefore, you need to add the corresponding number of beaches that correspond to these bars (A, B and C):
Then, you get:

(c) You can identify that the interval of the last bar is from 11 to 13, and the number of beaches that corresponds to that bar is:

As you can see below
Hence, the answers are:
(a)

(b)

(c)
2x + 3 + x = 39
3x + 3 = 39
3x = 36
x = 12
One tank holds 12 gallons
The other tank holds 27 gallons