Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Coordinate Planes
- Reading a graph
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify points from graph.</em>
Point (20, 0)
Point (100, 40)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:

- [Order of Operations] Simplify:

- Simplify:

Answer:

Step-by-step explanation:
Let the distance be
and the time be
.
It was given that the distance,
, varies directly as the square of the time
, we write the proportional relation,
.
, where
is the constant of variation.
It was also given that,
, when
.




Now the equation of variation becomes;

When,
, 


The object will travel 301865 feet in 55 seconds.
Answer:The answer is 96
Step-by-step explanation: 4 ounces equal half a cup, so 24x4=96 (which equals 12 full cups)
For a right triangle with legs legnth a and b and hyptonuse c
a^2+b^2=c^2
9 feet from base, that's one leg
wire is hypotnuse, it's 1 more than height on tree
c=b+1
so
9^2+b^2=(b+1)^2
81+b^2=b^2+2b+1
minus b^2+1 from both sides
80=2b
divide both sides by 2
40=b
c=b+1
c=40+1
c=41
legnth of wire is 41ft
Find LCM for the second term or common terms from both ratio that is 8 and 6
The LCM is 24
So
x:y = 13×3:8×3
y:z= 6×4:9×4
x:y= 39:24
y:z= 24:36
So, x:y:z= 39:24:36
Hope This Helps You ❤️