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saveliy_v [14]
3 years ago
10

Elizabeth won a $300 gift certificate at silver gym. A membership costs $15 a month and has a one- time fee of $50. Complete the

equation that models the number of months,x, her gift certificate is will pay for a Silver gym.

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

The correct answer is 15 x + 50 = 300

Explanation:

In an equation, the different values show a specific mathematical relationship, and the equality represented by the symbol (=) is used to find an unknown value. In the case presented, the unknown value is the number of months Elizabeth can pay using her $300 gift certificate. This means the letter x in the equation represents the number of months.

Moreover, this x should be multiplied by the month membership or $15 considering Elizabeth will need to pay this fee each month and this should be added to the one-time fee of $50. This implies the first part of the equation is 15x + 50. Finally, this value should be equal to the total money in the certificate or 300. According to this, the equation is 15x + 50 = 300.

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sin(2θ) = 24/25

Explanation:

In order to find the value of sin 2θ, first, recall the double-angle formula for sine.

\sin 2\theta=2\sin \theta\cos \theta

From the right-triangle:

\begin{gathered} \sin \theta=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{3}{5} \\ \cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}}=\frac{4}{5} \end{gathered}

Substitute these values into the double-angle formula obtained earlier.

\begin{gathered} \sin 2\theta=2\sin \theta\cos \theta \\ =2\times\frac{3}{5}\times\frac{4}{5} \\ =\frac{24}{25} \end{gathered}

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6 0
1 year ago
-2p=4/11<br> Solve for p please.
Alexeev081 [22]

Answer:

p = -2/11

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

Step-by-step explanation:

<u>Step 1: Define</u>

-2p = 4/11

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

  1. Divide -2 on both sides:                     p = -2/11
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