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sp2606 [1]
3 years ago
13

-3x + 5y = -6 6x - 10y = 12

Mathematics
1 answer:
enyata [817]3 years ago
7 0

Answer:

1. Let's solve for x.

−3x+5y=−6

Step 1: Add -5y to both sides.

−3x + 5y + −5y = −6 + −5y

−3x = −5y − 6

Step 2: Divide both sides by -3.

−3x

−3

=

−5y−6

−3

x=

5

3

y+2

2. Let's solve for x.

6x−10y=12

Step 1: Add 10y to both sides.

6x−10y+10y=12+10y

6x=10y+12

Step 2: Divide both sides by 6.

6x

6

=

10y+12

6

x=

5

3

y+2

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Answer:

\frac{dV}{dt} = 360 \ cm^3/h

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
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Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0
3 years ago
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