Answer:
(-15, 3)
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>
x + 5y = 0
3y + 2x = -21
<u>Step 2: Rewrite Systems</u>
x + 5y = 0
- Subtract 5y on both sides: x = -5y
<u>Step 3: Redefine Systems</u>
x = -5y
3y + 2x = -21
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 3y + 2(-5y) = -21
- Multiply: 3y - 10y = -21
- Combine like terms: -7y = -21
- Isolate <em>y</em>: y = 3
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define equation: x + 5y = 0
- Substitute in <em>y</em>: x + 5(3) = 0
- Multiply: x + 15 = 0
- Isolate <em>x</em>: x = -15
Answer
Graph B
Explanation
The equation for this scenario is 245.50+2.50x = 1,250 where x is the number of pounds of sugar that Caleb can sell.
You know that x is 401.80.
The term "at least" means x or more.
This would mean greater than.
So graph C and D are eliminated (because they display less than).
Graph A shows greater than 401.80, but Caleb can still meet his goal if he sells exactly 401.80.
Graph B is correct because it shows greater than, and includes x.
Answer:
20x + 2
Step-by-step explanation:
The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil
<h3>What is
volume?</h3>
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the three dimensional shape is:
Volume = length * width * height = 1 1/4 * 1 1/2 * 2 = 3.75 yd³
1 yd³ = 2000 pounds
3.75 yd³ = 2000 pounds * 3.75 yd³ = 7500 pounds
The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil
Find out more on volume at: brainly.com/question/12410983
Answer:B=S-6/3
Step-by-step explanation:
S=3B+6
11=3B+6
11-6=3B
5=3B
B=5/3