Answer:
x = -6
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
2(3x + 4) - 3(x - 1) = x - 1
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute: 6x + 8 - 3x + 3 = x - 1
- Combine like terms: 3x + 11 = x - 1
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: 2x + 11 = -1
- [Subtraction Property of Equality] Subtract 11 on both sides: 2x = -12
- [Division Property of Equality] Divide 2 on both sides: x = -6
If the 8y/4 is the only fraction, the answer is x=7y
If the whole input of the equation is in a fraction, the answer is x=28y
:)
Answer:
45 dollars
Step-by-step explanation:
because you divide
area = (l)(w)(h)
24 = 4(3 + b)
24 = 12 + 4b
-12 on both sides
12 = 4b
/4 on both sides
b = 3 inches
Substitute b = 3 inches in width
3 + b
3 + 3 = 6 inches
Answer:
width = 6 inches
Answer:
0.6 hours
Step-by-step explanation:
Let's say the swimming pool is 12,000 gallons.
The flow rate of the cold water pipe is:
12000 gal / 4 hr = 3000 gal/hr
The flow rate of the hot water pipe is:
12000 gal / 6 hr = 2000 gal/hr
If the cold water pipe is turned on for three hours, the volume of water is:
3000 gal/hr × 3 hr = 9000 gal
That leaves 3000 gallons. The time to fill the rest of the pool with both the cold and hot water pipes is:
3000 gal / (3000 gal/hr + 2000 gal/hr) = 0.6 hr
It takes 0.6 hours (36 minutes).