Kyra ate 1/4 of the box of popcorn because 2 x 1/4 = 2/4 or 1/2. Hope this helps
Answer:
(1, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
4x + y = 2
y = x - 3
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x + (x - 3) = 2
- Combine like terms: 5x - 3 = 2
- Isolate <em>x</em> term: 5x = 5
- Isolate <em>x</em>: x = 1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x - 3
- Substitute in <em>x</em>: y = 1 - 3
- Subtract: y = -2
Hello there! the answer would be x = 3/4.
You are given the two equations: 4x - 2y = 8 and y = 1/2x + 2. You are asked to solve via substitution. To do this, substitute the value of y in the second given equation into the first given equation, and solve using PEMDAS.
4x - 2(1/2x + 2) = 8 - Start by distributing 2 into (1/2x + 2).
4x - 1x + 4 = 8 - Combine like terms.
3x + 4 = 8 - Subtract 4 from both sides.
3x = 4 - divide both sides by 3.
x = 3/4. This is your final answer.
I hope this was helpful, have a great day! :)
4x + y = 5
3x + y = 8
y = -3x + 8
4x +(-3x + 8) = 5
4x -3x + 8 = 5
x + 8 = 5
x = -3
y = -3(-3) + 8
y = -9 + 8
y = -1
Answer:
144 tickets.
Step-by-step explanation:
So first we have to take the total amount of tickets sold and divide that by 3 (because students bought 2/3 of those tickets and adults bought 1/3 of those tickets). So we get the answer of 144. So that means that the adults bought 144 tickets and the students bought 288 tickets.
