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Andreyy89
2 years ago
6

What is the answer to this ? PLEASE HELP I HAVE 3 minutes

Mathematics
1 answer:
inn [45]2 years ago
3 0

Answer:

(2, 4)

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
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 2x

x = -y + 6

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

<em>Substitution</em>

  1. Substitute in <em>x</em>:                     y = 2(-y + 6)
  2. Distribute 2:                         y = -2y + 12
  3. Isolate <em>y</em> terms:                    3y = 12
  4. Isolate <em>y</em>:                               y = 4

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define equation:                    x = -y + 6
  2. Substitute in <em>y</em>:                       x = -4 + 6
  3. Add:                                        x = 2
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Smallest of 3 consecutive positive intergers if the product of the smaller two intergers is 5 less than 5 times the largest inte
amm1812

What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)

Three consecutive integers are . . . x,  x+1,  and  x+2

The smallest two are . . . x  and  x+1
    Their product is . . . . . x(x+1)

5 times the largest one is . . . 5(x+2)
      5 less than that is . . . . . . 5(x+2)-5

Now, the conditions of the problem say that    <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .

       Eliminate parentheses:    x² + x = 5x + 10 - 5
            Combine like terms:    x² + x = 5x + 5
Subtract 5x from each side:    x² - 4x = 5
Subtract  5  from each side:   <u>x² - 4x - 5 = 0</u>

You could solve that by factoring it, or use the quadratic equation.

Factored, it says that    (x + 1) (x - 5) = 0

From which       <em>x = -1</em>
             and      <em>x = +5</em>

We only want the positive results, so our three consecutive integers are

             5,  6,  and  7 .   

To answer the question, the smallest one is    <em><u>5 </u></em>.

<u>Check</u>:

   5 x 6  ? = ?  (7 x 5) - 5

       30  ? = ?  (35) - 5

         30   =   30

             yay !   


6 0
3 years ago
What is the value of the expression below when x = 3?<br> 10x2 – 7x + 10
QveST [7]

Answer:

79

Step-by-step explanation:

To find the value of 10x^2 – 7x + 10, when x = 3, simply plug in the value of x in the expression and solve as follows:

10(3)^2 – 7(3) + 10

10(9) – 21 + 10

90 – 21 + 10

79

The value of 10x^2 – 7x + 10, when x = 3, is 79

5 0
3 years ago
(12x - 30) = (2x - 5)​
zzz [600]

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
8 0
2 years ago
Create sample spaces for a Rhino, Elephant, and Lion. create all as possible.<br> HELP!!!
Mekhanik [1.2K]
There are 6 possibilities.
Rhino, elephant, lion
rhino, lion, elephant
elephant, lion, rhino
elephant, rhino, lion
Lion, rhino, elephant
lion, elephant, rhino
3 0
3 years ago
1. A Square shaped wooden plate has a diagonal length of 30cm. Can you find the Perimeter of plate ?
DerKrebs [107]

Answer:

84.85cm

Step-by-step explanation:

Let the sides of the square be x

The perimeter of the square = 4x

Get x using the pythagoras theorem

x^2 + x^2 = 30^2

2x^2 = 900

x^2 = 450

x = 21.21cm

Perimeter of the plate = 4(21.21)

Perimeter of the plate = 84.85cm

6 0
2 years ago
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