The system of equations that represents the situation is given by:
C. x² – 2y ≥ 5000, 2x + 5y < 1000
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In tis problem, the company's stock is represented by the expression x² - 2y, and the goal is a stock value of at least $5,000, hence the first equation is given by:
x² – 2y ≥ 5000
The purchases are represented by 2x + 5y, and the goal is to keep it below $1,000, hence the second equation is given by:
2x + 5y < 1000
This means that option C is correct.
More can be learned about a system of equations at brainly.com/question/24342899
Answer:
option A
output = constant / input
Step-by-step explanation:
Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.
Equation to describe relationship of inverse variation between input and output will be as following
<h3> output ∝ 1 / input</h3>
to remove this sign of proportionality
<h3> output = k / input </h3>
where k is a constant
The correct answer should be y=4x + 1d where x equals the number of personal pizzas, and d equals the number of drinks.
She didn't account for the number of drinks ordered for more than one meal.
Answer:
A) 3 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Surface Area of a Sphere: SA = 4πr²
- Diameter: d = 2r
Step-by-step explanation:
<u>Step 1: Define</u>
SA = 23 in²
<u>Step 2: Find </u><em><u>r</u></em>
- Substitute [SAS]: 23 in² = 4πr²
- Isolate <em>r </em>term: 23 in²/(4π) = r²
- Isolate <em>r</em>: √[23 in²/(4π)] = r
- Rewrite: r = √[23 in²/(4π)]
- Evaluate: r = 1.35288 in
<u>Step 3: Find </u><em><u>d</u></em>
- Substitute [D]: d = 2(1.35288 in)
- Multiply: d = 2.70576 in
- Round: d ≈ 3 in
Answer:
There is one way, 5 groups of 2.
Step-by-step explanation:
If there is 10 people and there has to be 5 pairs, divide 10 by 5. this is 2. This is the only way that it can be split evenly.