Answer:
x = -11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
-3(x + 2) = 16 - x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute -3: -3x - 6 = 16 - x
- [Addition Property of Equality] Add <em>x</em> on both sides: -2x - 6 = 16
- [Addition Property of Equality] Add 6 on both sides: -2x = 22
- [Division Property of Equality] Divide -2 on both sides: x = -11
Answer:R(-10, 5.6) => R'(10, -5.6)
S(0, 7) => S'(0, -7)
T(-6, -34) => T'(6, 34)
Step-by-step explanation:
Answer:
t=4
Step-by-step explanation:
Use the distributive property first on the left side (multiply 2 by t and 2 by 1). This leaves you with 2t+2=10. Then you just have a multistep equation. Subtract 2 from both sides (2 cancels out on the left side and you are left with 8 on the right side). Equation now looks like 2t=8. Then, you divide by 2 on both sides to isolate the t and you get 4.
Answer:
yes
Step-by-step explanation:
This is correct because there are 2.5 cups of water per cup of cornmeal.
.)
Answer:
y = 15.75x + 25 is the linear equation
$88 would be the total cost
Step-by-step explanation:
First, create the equation using y = mx + b, where x is the number of hours:
y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25
There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:
y = 15.75x + 25
Plug in 4 as x:
y = 15.75(4) + 25
y = 63 + 25
y = 88
So, the total cost would be $88
