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Effectus [21]
3 years ago
11

18. The equations 6x + 5y 300 and 3x + 7y = 285

Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer:  The  cost for each chocolate gift basket is b)$25.

Step-by-step explanation:

Hi, the correct equations are:

6x + 5y =300

3x + 7y = 285

So, if we multiply the second equation by 2, and subtract the first equation to the second equation:

6x +14 y= 570

-

6x +5y =300

_________

9y = 270

Solving for y:

y = 270/9

y = 30

Substituting y=30 on any equation:

6x + 5y =300

6x + 5(30) =300

Solving for x (cost for each chocolate gift basket)

6x+150 =300

6x =300-150

6x = 150

x =150/6

x = $25

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2(x + 4) = 4x + 3 – 2x + 5
melamori03 [73]

Answer:

x = infinite amount of solutions

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>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

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

2(x + 4) = 4x + 3 - 2x + 5

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

  1. Distribute 2:                              2x + 8 = 4x + 3 - 2x + 5
  2. Combine like terms:                 2x + 8 = 2x + 8
  3. Subtract 8 on both sides:        2x = 2x
  4. Divide 2 on both sides:            x = x

Here we see that <em>x</em> does indeed equal <em>x</em>.

∴ x = infinite amount of solutions

8 0
3 years ago
A 28% increase of 150.. whats the new amount?
djyliett [7]
150  is 100 %
   x   is  28  %
-------------------
150 : x = 100 : 28
100 x = 150 * 28
100 x = 4,200
x = 4,200 : 100
x = 42
150 + 42 = 192
Answer:
The new amount is 192.
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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