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kiruha [24]
3 years ago
13

Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then.

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0
R = 3S

R + 6 = 2 (S+6)

Substitute the first equation in the second one:

(3S) + 6 = 2 (S + 6)

3S + 6 = 2S + 12

S + 6 = 12

<u>R = 18
</u>S = 6<u>
</u>
Check:

R is 3 times S now.

In 6 years, R will be (18 + 6) = 24, S will be (6 + 6) = 12.

24 = 2 x 12        yay

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General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

  • Circumference of a Circle Formula: C = πd

Step-by-step explanation:

<u>Step 1: Define</u>

Circumference <em>C </em>= 141.3 ft

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

  1. Substitute in <em>C</em> [Circumference Formula]:                                                       141.3 ft = πd
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3 years ago
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