Answer:
7. r = -5
8. x = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
Answer:
No Solution
Step-by-step explanation:
If xy = 1, and y is 0, then you can plug in 0 for y. x(0) = 1. You would then need to divide by 0 on both sides, but you cannot do that. Therefore, there is no soultion.
Answer: The club membership increased by 20%
Step-by-step explanation:
A clubs Membership increased from 25 to 30 members. This means that the number of people by which the club's membership increased is
30 - 25 = 5
To determine the percentage of increase, it would be
Increase in membership/initial number of members × 100
It becomes
5/25 × 100 = 0.2 × 100 = 20%
Percentage increase is 20%
Answer:
B - 6sqrt(23) ft.
Step-by-step explanation:
Area = (Side)^2 = 828.
Side = sqrt(828) = sqrt(36*23) = 6 sqrt(23).
So B - 6sqrt(23) ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
Hey there! :D
We have points (1,5) (2,2) and (6,3).
Transformation rule: (x+6,y-4)
(1,5) => (1+6,5-4) => (7,1)
(2,2) => (2+6,2-4) => (8,-2)
(6,3) => (6+6, 3-4) => (12, -1)
"D" is the correct answer.
I hope this helps!
~kaikers