Answer:
answer for number 9 : slope is 3/7 and the y intercept is (0, -2/7 )
answer for number 10 : slope is 4/7 and the y intercept is (0,10)
Step-by-step explanation:
here i hope this helped you
Answer:
a. 
b Slope:
or 
Step-by-step explanation:
The equation of a line that passes through the origin is:

Where "m" is the slope of the line.
By definition, Direct variation equations have the following form:

Where "k" is the Constant of variation.
Then, you can conclude that:

a. Let be "d" the distance in miles that the train travels per gallon.
You can observe in the graph that when the train travels 10 miles, it uses 100 gallons. Then, you can set up the following proportion:

Solving for "x", you get:

Then, it travels 0.1 miles per gallon.
b. The slope is also
or
. To check this, you can subsitute the coordinates of the point (100,10) into
and solve for "m" in order to find its value.
This is:

Answer:
65 dollars and 2 cent
Step-by-step explanation:
Volume = length x width x height
Thus, you need to find the cubic root of 500....the number that when multiplied by itself three times = 500,
There are different ways to write this.
![\sqrt[3]{500}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B500%7D%20)
=
![\sqrt[3]{125 * 4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%20%2A%204%7D%20)
= 5
![\sqrt[3]{4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B4%7D%20)
You can also show it as a decimal using a calculator = 7.94
Answer:
x = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
40° + (2x + 30)° + 40° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 2x + 110 = 180
- Subtract 110 on both sides: 2x = 70
- Divide 2 on both sides: x = 35