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Genrish500 [490]
2 years ago
7

Show you work for full credit Use the SUBSITUTION method or ELIMINATION method to solve this system of equations. y = 4x and 8x

+ y = 18

Mathematics
1 answer:
vodka [1.7K]2 years ago
8 0

Answer:

A. (3/2, 6)

Step-by-step explanation:

Use the substitution method:

8x + y = 18 and y = 4x

8x +4x = 18

12x = 18

x = 18/12 = 3/2

y = 4x

= 4(3/2)

= 12/2

= 6

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A block of ice has a square top and bottom and rectangular sides. At a certain point in
Lilit [14]

Answer:

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

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

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

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)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0
3 years ago
What is the value of y?<br><br> 39<br> 34<br> 16<br> 20 <br><br> one of those number is the answer
melomori [17]

Answer:

20

Step-by-step explanation:

we see here that angle RPN is 180 degrees. SPM is 90 degrees so

angle RPS + angle SPM + angle MPN = 180 degrees

(4y - 10) + 90 + y = 180

(4y - 10) + y = 90

5y - 10 = 90

5y = 100

y = 20

5 0
3 years ago
Amara needs 4545 kilograms of meat to feed her 22 pet dragons each day. Each pet dragon eats the same amount of meat.
DiKsa [7]

Answer:9090

it is simple you just need to multiply by 2


5 0
3 years ago
Read 2 more answers
Please Help!
sashaice [31]
B. 90
Because, a circle is 360 degrees total. Angle FG is 130 degrees. Angle GD is 90 degrees. It's remaining 2 so.... 130+90=220 But every circle is 360 degrees so... 360-220=140. And ED looks similar to GD which is 90 degrees
3 0
3 years ago
Find and explain wallys mistake!!
Marysya12 [62]

Answer:

What Wally did wrong is that it is supposed to be (4a-5)(a-4)

In order to get -21 a. He was supposed to use negative 5 and 4 to get to negative 21

If he used (4a+5)(a+5)

The answer will be positive 21 and that's not what the problem is asking

Step-by-step explanation:

5 0
3 years ago
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