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GaryK [48]
3 years ago
5

Need a little help :,)

Mathematics
1 answer:
alekssr [168]3 years ago
8 0

Answer:

A  a.  25 minutes

Step-by-step explanation:

Let x = time in minutes.

Aquarium I contains y water at time x.

y = 4.6 + 1.2x

Aquarium II contains y water at time x,

y = 54.6 - 0.8x

We want the amounts of water to be equal, so we set the right parts of the equations equal and solve for x, the time in minutes.

4.6 + 1.2x = 54.6 - 0.8x

Subtract 4.6 from both sides.

Add 0.8x to both sides.

2x = 50

Divide both sides by 2.

x = 25

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What are the solution(s) of -3(x - 1) = x - 5?<br> O-5 and 3<br> O-3<br> O1 and 5<br> O 2
andre [41]

Answer:

x = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

-3(x - 1) = x - 5

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

  1. Distribute -3:                         -3x + 3 = x - 5
  2. Add 3x to both sides:           3 = 4x - 5
  3. Add 5 to both sides:             8 = 4x
  4. Divide 4 on both sides:        2 = x
  5. Rewrite:                                 x = 2

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    -3(2 - 1) = 2 - 5
  2. Subtract:                       -3(1) = -3
  3. Multiply:                        -3 = -3

Here we see that -3 does indeed equal -3.

∴ x = 2 is a solution of the equation.

8 0
3 years ago
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