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anyanavicka [17]
2 years ago
7

(12x - 30) = (2x - 5)​

Mathematics
1 answer:
zzz [600]2 years ago
8 0

Answer:

x = 5/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

12x - 30 = 2x - 5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 2x on both sides:                    10x - 30 = -5
  2. Add 30 to both sides:                            10x = 25
  3. Divide 10 on both sides:                        x = 5/2
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Mary is rolling a standard six-sided die and spinning on a spinner with the number 1-8.
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Answer:

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b) \frac{1}{48} probability of her rolling a 4 and spinning an 8.

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Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A) Are her dice rolls and spinning outcomes independent or dependent?

Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

B) What is the probability of her rolling a 4 and spinning an 8?

Since the events are independent, we find each separate probability and multiply them.

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P(A) = \frac{1}{6}

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P(B) = \frac{1}{8}

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2, 4 or 6(3 sides out of 6). So

P(A) = \frac{3}{6} = \frac{1}{2}

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P(B) = \frac{2}{8} = \frac{1}{4}

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P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}

\frac{1}{8} probability of her rolling an even number and spinning a number less than 3.

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2 years ago
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