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Likurg_2 [28]
3 years ago
5

Ok, LAST QUESTION for today! PLEASE SHOW YOUR WORK TY

Mathematics
1 answer:
Margaret [11]3 years ago
5 0

Answer:

(32/5, -48/5)

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
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

-4x + 16 = y

2x - 32 = 2y

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                2x - 32 = 2(-4x + 16)
  2. Distribute 2:                                                                                                    2x - 32 = -8x + 32
  3. [Addition Property of Equality] Add 8x on both sides:                                10x - 32 = 32
  4. [Addition Property of Equality] Add 32 on both sides:                                10x = 64
  5. [Division Property of Equality] Divide 10 on both sides:                              x = 32/5

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

  1. Define original equation:                                                                               -4x + 16 = y
  2. Substitute in <em>x</em>:                                                                                                -4(32/5) + 16 = y
  3. Multiply:                                                                                                           -128/5 + 16 = y
  4. Add:                                                                                                                -48/5 = y
  5. Rewrite/Rearrange:                                                                                           y = -48/5
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ivann1987 [24]

9514 1404 393

Answer:

  • large: 55 lb
  • small: 30 lb

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...

  x + y = 85 . . . . . combined weight of a large and small box

  70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes

We can subtract 50 times the first equation from the second to find the weight of a large box.

  (70x +50y) -50(x +y) = (5350) -50(85)

  20x = 1100 . . . . simplify

  x = 55 . . . . . . . divide by 20

Using this in the first equation, we can find the weight of a small box.

  55 +y = 85

  y = 30 . . . . . . . subtract 55

A large box weighs 55 pounds; a small box weighs 30 pounds.

4 0
3 years ago
The area of a certain square is 900 square inches. What is the perimeter of this square in inches?
finlep [7]

Answer:

The perimeter of a square with an area of 900 square feet is 120 ft.

Step-by-step explanation:

Calculation of the perimeter of the square:

Since the area is 900 square feet

We know that

The area of square =

So, length of one side should be 30

Now the perimeter should be

= 4(30)

= 120 ft.

Hence, The perimeter of a square with an area of 900 square feet is 120 ft.

4 0
2 years ago
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