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Sladkaya [172]
3 years ago
8

The inequality 6-2/3x<-9 is equivalent to

Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0

Answer:

x > \frac{45}{2}

Step-by-step explanation:

Given

6 - \frac{2}{3} x < - 9 ( subtract 6 from both sides )

- \frac{2}{3} x < - 15 ( multiply both sides by 3 )

- 2x < - 45

Divide both sides by - 2, reversing the inequality symbol as a consequence of dividing by a negative quantity.

x > \frac{45}{2}

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$80.00 hope this helps!
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2 years ago
What is the answer to this ? PLEASE HELP I HAVE 3 minutes
inn [45]

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
3 0
3 years ago
Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m
gladu [14]
Let n = minutes since 12:00 pm when Malory catches up to Dori.

Dori travels
(50 steps/min)*(n minutes) = 50n steps

Malory begins walking at 12:20 pm, so she walks for (n - 20) minutes. She travels
(90 steps/min)*(n - 20  min) = 90n - 1800 steps

Equate the steps traveled by Dori and Malory.
90n - 1800 = 50n
40n = 1800
n = 45 min

The time corresponding to n = 45 min is 12:45 pm

Answer: 12:45 pm

7 0
3 years ago
The relative growth rate for a certain type of bacteria population is 85% per hour. A small culture has formed and in just 2 hou
harkovskaia [24]
Let us assume the initial number of bacteria in the culture = xAfter 1 hour,The number of bacteria = 185x/100                                      = 1.85xAfter 2 hours,The number of bacteria = (185 * 1.85x)/100                                       = 3.42xSo3.42x = 12500x = 12500/3.42   = 3654.97   = 3655From the above deduction, we can conclude that the initial number of bacteria in the culture is 3655.
8 0
3 years ago
Read 2 more answers
Simplify: 1. Write the prime factorization of the radicand. 2. Apply the product property of square roots. Write the radicand as
Elis [28]

Simplify: 

<span>1. Write the prime factorization of the radicand.</span>  <span>2. Apply the product property of square roots. Write the radicand as a product, forming as many perfect square roots as possible. </span>

3. Simplify.

 =the answer is 18


4 0
3 years ago
Read 2 more answers
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