Answer:
Step-by-step explanation:
Givens
- The top soil weighs 40 pounds per bag.
- The mulch weighs 20 pounds per bag.
- The cart can only carry up to 480 pounds.
Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign 
.
Now, let's call 
the top soil and 
the mulch, the inequality that represents this problem, would be
Answer:
c = 12.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = 7.5
Leg <em>b</em> = 10
Hypotenuse <em>c</em> = <em>c</em>
<em />
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 7.5² + 10² = c²
- Rewrite: c² = 7.5² + 10²
- Evaluate exponents: c² = 56.25 + 100
- Add: c² = 156.25
- [Equality Property] Square root both sides: c = 12.5
Answer: The answer should be 36.75 inches.
Step-by-step explanation:
21 inches divided by 4 inches = 5.25
Multiply 5.25 by 7, which equals 36.75
