Answer:
Step-by-step explanation:
Let x represent the cost of one white chocolate pretzel.
Let y represent the cost of one dark chocolate pretzel.
Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. This means that
4x + 6y = 10.5 - - - - - - - - - - -1
Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. This means that
8x + 3y = 9.75 - - - - - - - - - 2
Multiplying equation 1 by 8 and equation 2 by 4, it becomes
32x + 48y = 84
32x + 12y = 39
Subtracting, it becomes
36y = 45
y = 45/36 = $1.25
Substituting y = 1.25 into equation 1, it becomes
4x + 6 × 1.25 = 10.5
4x + 7.5 = 10.5
4x = 10.5 - 7.5 = 3
x = 3/4 = $0.75
the total cost for 6 white chocolate pretzels and one dark chocolate pretzel would be
6 × 0.75 + 1 × 1.25 = 4.5 + 1.25 = $5.75
Answer:
50⁰
Step-by-step explanation:
the 2 triangles are congruent, meaning the angles equal the same. angles B and S are the same, angles A and R are the same, and angles Q and C are the same (congruent)
Yes, since the other two numbers on each side are the same, any number can fit well in this equation.
Answer:
x = √47
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 5
Leg <em>b </em>= <em>x</em>
Hypotenuse <em>c</em> = √72
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 5² + x² = (√72)²
- Exponents: 25 + x² = 72
- Isolate <em>x</em> term: x² = 47
- Isolate <em>x</em>: x = √47
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