Answer:
they are
Step-by-step explanation:
the simplest form 8/18 is 4/9
Answer:
x - intercept = 0 and y - intercept = 0
Step-by-step explanation:
Using the two point slope intercept form, the formula is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
We are given the intercepts to be at
(2,1) and (6,3).
So, x1 = 2 and x2 = 6,while y1 = 1 and y2 = 3
Plugging into the equation, we have;
(y - 1)/(x - 2) = (3 - 1)/(6 - 2)
(y - 1)/(x - 2) = 2/4
(y - 1)/(x - 2) = 1/2
Cross multiply to get;
2(y - 1) = x - 2
2y - 2 = x - 2
2y = x
Now, the x intercept will occur at y = 0.
Thus,
2(0) = x
x = 0
Also, the y intercept occurs when x = 0.
So, 2y = 0
y = 0
x - intercept occurs at (0,0) and y - intercept occurs at (0,0)
Answer:
p = 7/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-4p + 9 = -5
<u>Step 2: Solve for </u><em><u>p</u></em>
- Subtract 9 on both sides: -4p = -14
- Divide -4 on both sides: p = 7/2
<u>Step 3: Check</u>
<em>Plug in p into the original equation to verify it's a solution.</em>
- Substitute in <em>p</em>: -4(7/2) + 9 = -5
- Multiply: -14 + 9 = -5
- Add: -5 = -5
Here we see that -5 does indeed equal -5.
∴ p = 7/2 is the solution to the equation.
Answer:
B: Survey 3 randomly selected students from every homeroom.
Step-by-step explanation:
This would be the best way to survey, because all the others have some sort of variable. The principle doesn't know who buys lunch and who doesn't, so why would he just ask kids who ride in a car as there are kids who ride buses, or only 7th grade students, so the best answer would be something that everyone has, like homeroom.
Answer:
r = 15
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
4500 pi = 4/3 pi r^3
Divide each side by pi
4500 = 4/3 r^3
Multiply each side by 3/4
3/4 *4500 = 3/4 *4/3 r^3
3375 = r^3
Take the cube root of each side
(3375)^(1/3) = (r^3)^(1/3)
15 = r
