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elena-s [515]
2 years ago
14

Nelson got a pack of 12 pencils. he took 3 pencils and put it in is desk at school and 2 pencils to put in is locker at school.

what is the fraction of total pencils that Nelson took to school
Mathematics
1 answer:
prohojiy [21]2 years ago
8 0

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Write y=2(x + 6)(x + 3) in standard form
Volgvan

Answer:

y = 2x² + 18x + 36

Step-by-step explanation:

Given

y = 2(x + 6)(x + 3) ← expand the factors using FOIL

y = 2(x² + 9x + 18) ← distribute parenthesis by 2

  = 2x² + 18x + 36 ← in standard form

6 0
3 years ago
What is the missing value in the proportion 4/5 = x/30?
ra1l [238]

Answer:

\displaystyle x = 24

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  

Equality Properties

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

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{4}{5} = \frac{x}{30}<u />

<u />

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

  1. [Multiplication Property of Equality] Cross-multiply:                                      \displaystyle 5x = 120
  2. [Division Property of Equality] Divide 5 on both sides:                                \displaystyle x = 24
4 0
3 years ago
This year benny is 12 years old and his mom is 48 years old. what percent of his mom's age is benny's age
Dennis_Churaev [7]
12 • 4 = 48

25% of his mom's age is benny's age
3 0
3 years ago
The area of a rectangle whose perimeter is a fixed 80 feet is given by A=40w - w2 , where w is the width of the rectangle. Deter
Stolb23 [73]

Answer:

Width=20 feet

Since Length=Width=20 feet, the rectangle is a Square.

Step-by-step explanation:

Area, A=40w - w^2

To determine the width of the rectangle that gives the maximum area, we take the derivative of A and solve for its critical point.

A'=40 - 2w\\$When A'=0\\40-2w=0\\40=2w\\w=20 feet

The width of the rectangle that gives the maximum area =20 feet.

Perimeter of a rectangle=2(l+w)

Perimeter of the rectangle=80 feet

2(l+w)=80

2l+2(20)=80

2l=80-40

2l=40

l=20 feet

Since the length and width are equal, the special type of rectangle that produces this maximum area is a Square.

7 0
3 years ago
If 7 units represent 98 liters find the value of 17 units
Ganezh [65]
98/7=14
14*17=238
238 is your answer

4 0
3 years ago
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