Answer:
(0, 4)
x = 0
y = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
12x - 5y = -20
y = x + 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 12x - 5(x + 4) = -20
- Distribute -5: 12x - 5x - 20 = -20
- Combine like terms: 7x - 20 = -20
- Isolate <em>x</em> term: 7x = 0
- Isolate <em>x</em>: x = 0
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x + 4
- Substitute in <em>x</em>: y = 0 + 4
- Add: y = 4
Answer:
Each employee took home 1/4 of pizza each.
Step-by-step explanation:
1. Picture a pizza as being a full 100%.
2. Since each employee took home the same amount of pizza, you need to divide the pizza equally by 4. 100 ÷ 4 = 25 this also equals 25/100
3. To reduce the fraction 25/100, you have to find a number that both the numerator and denominator can be divided by.
4. In this scenario, 25/100 can both be divided by 25.
5. 25 ÷ 25 = 1 100 ÷ 25 = 4
6. Therefore the final answer is each employee took home 1/4 of the pizza.
Answer:
180
Step-by-step explanation:
Answer:
1) A bar diagram with 2 shaded squares and 8 unshaded squares.
Step-by-step explanation:
There are 100 students (40+15+20+25).
20 signed up for Track and Field.
20 out of 100 would equate to 20/100, or 2/10, or:
1) A bar diagram with 2 shaded squares and 8 unshaded squares.