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horrorfan [7]
3 years ago
7

Fran is three times as old as Nancy. In four years, she'll be twice as old as Nancy. How old is each now?

Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0
Nancy is 4
frans is 12
Blizzard [7]3 years ago
7 0

Answer:

  • Fran is 12, Nancy is 4

Step-by-step explanation:

Let Fran - f and Nancy - n

<u>The ages at present:</u>

  • f = 3n

<u>In four years:</u>

  • f + 4 = 2(n + 4)

<u>Simplify and substitute f:</u>

  • f + 4 = 2n + 8
  • f = 2n + 4
  • 3n = 2n + 4
  • n = 4

<u>Find f:</u>

  • f = 3*4 = 12
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Angle 1 and angle 2 are vertical angles. If m angle 1 = (8x+12)° and m angle 2 = (3x+37)° find the measure for each angle.
laila [671]
Vertically opposite angles are always equal.

Given angles are (8x+12)° and (3x+37)°

=> (8x+12)° = (3x + 37)°

=> 8x - 3x = 37-12

=> 5x = 25

=> x = 25/5 = 5°

Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°

Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°
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2 years ago
What is 1/10 of 0.092?
bezimeni [28]
When you multiply by 1/10 you normally add another 0:
1/10 * 0.092=0.0092
6 0
3 years ago
The segment drawn from a vertex in a triangle to the midpoint of the opposite side.
AVprozaik [17]

check the picture below.

3 0
3 years ago
Read 2 more answers
Simplify the following expression (-5x + 6x2) - (6x2 – 5x)
Nookie1986 [14]

Answer:

0

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

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(-5x + 6x²) - (6x² - 5x)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                    -5x + 6x² - 6x² + 5x
  2. [Subtraction] Combine like terms (x²):                                                             -5x + 5x
  3. [Addition] Combine like terms (x):                                                                   0
5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=y%20%3D%20x%20%7B%7D%5E%7B2%7D%20-%209x%20%2B%2014" id="TexFormula1" title="y = x {}^{2} - 9x
svetoff [14.1K]

Answer:

a = - \frac{9}{2} , b = - \frac{25}{4}

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- \frac{9}{2} )x + \frac{81}{4} - \frac{81}{4} + 14

  = (x - \frac{9}{2} )² - \frac{81}{4} + \frac{56}{4}

  = (x - \frac{9}{2} )²- \frac{25}{4} ← in the form (x + a)² + b

with a = - \frac{9}{2} and b = - \frac{25}{4}

8 0
3 years ago
Read 2 more answers
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