Answer: -4x-34y-32
(I think this is right but I am not completely sure... if its not I am sorry :/ )
Step-by-step explanation:
First Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
48[(6/24x-8/24x)-(8/24y+9/24y)-2/3]
48(-2/24x-17/24y-2/3)
48(-1/12x-17/24y-2/3)
-4x-34y-32
Second Way:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
12x-16y-16x-18y-32
-4x-34y-32
Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
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>
<em>Identify</em>
5(x + 2) = 6x + 3x - 14
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition] Combine like terms: 5(x + 2) = 9x - 14
- [Distributive Property] Distribute 5: 5x + 10 = 9x - 14
- [Subtraction Property of Equality] Subtract 9x on both sides: -4x + 10 = -14
- [Subtraction Property of Equality] Subtract 10 on both sides: -4x = -24
- [Division Property of Equality] Divide -4 on both sides: x = 6
Let:
v = Olga's speed
t = the time Anna spent going to school (3 km/hour)
t/2 = the time Anna spent running back home with speed of 6 km/hour
So, t + t/2 = 3t/2 is the total time
In the meantime distance = speed*time and the both made the same distance we can put it as:
3t + 6*(t/2) = (3t/2)*v
6t = (3/2)tv divide both sides by t
(3/2)v = 6
v = 2*6/3
v = 4 km/hour
Olga's speed was 4 km/hour.
CD = certificate of deposit (an investment)
Interest rate, i = 10% per annum (simple interest)
Principal, P = $2000 (present value)
Period, T = 3 months = 0.25 year
Simple interest formula
Interest earned = Pit
=2000*0.10*0.25
=$50
Balance at maturity (amount that investor gets after three months)
=$2000+$50
=$2050
Answer:
D<Q≤2 Or D<Q Q+D≤2
Step-by-step explanation:
I'm pretty sure this is the answer but it's been a while since I've done system of inequalities. Essentially the value and number of dimes is less than the value and number of quarters. And the value of both is less than or equal to 2 dollars
