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vodka [1.7K]
2 years ago
9

2. Destiny rents games from a company that charges a $9.00 monthly fee and $2.50 for each game rental. She ends up paying $26.50

for the month of July. The equation 2.5x + 9 = 26.5 represents this situation. Solve the equation for x. What does this value of x mean in terms of the context?
Mathematics
1 answer:
slega [8]2 years ago
7 0

Answer:

x = 7

and it means that 7 games were rented that month

Step-by-step explanation:

Here, we are to solve for x from the given equation

we have this as:

2.5x + 9 = 26.5

2.5x = 26.5-9

2.5x = 17.5

x = 17.5/2.5

x = 7

What x means in this case is that the number of games rented in the month is 7

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3 years ago
5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!
tensa zangetsu [6.8K]

Answer:

x = -7/4

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
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

5x + 3 - 2x = 12 + 7x - 2

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

  1. Combine like terms:                                                                                        3x + 3 = 7x + 10
  2. [SPE] Subtract 3x on both sides:                                                                    3 = 4x + 10
  3. [SPE] Subtract 10 on both sides:                                                                      -7 = 4x
  4. [DPE] Divide 4 on both sides:                                                                         -7/4 = x
  5. Rewrite:                                                                                                           x = -7/4

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                     5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
  2. Multiply:                                -35/4 + 3 + 7/2 = 12 - 49/4 - 2
  3. Add:                                      -23/4 + 7/2 = 12 - 49/4 - 2
  4. Add:                                      -9/4 = 12 - 49/4 - 2
  5. Subtract:                               -9/4 = -1/4 - 2
  6. Subtract:                               -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

8 0
2 years ago
Write the first four terms in the following sequences. A(n+1)=12 A(n) for n≥1 and A(1)=4 .
ycow [4]

Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8

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3 years ago
Help please me ! 10 pts and
andre [41]
The answer is -6
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6 0
3 years ago
Read 2 more answers
Area of the shaded segment=
garik1379 [7]

The area of the entire sector is (\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi

The area of the triangle OAB is \frac{\sqrt{3}}{4}(6^{2})=9\sqrt{3}.

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2 years ago
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