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Anton [14]
3 years ago
15

at a local fitness​ center, members paya a ​$6 membership fee and ​$5 for each aerobics class. nonmembers pay ​$6 for each aerob

ics class. for what number of aerobics classes will the cost for members and nonmembers be the​ same?
Mathematics
1 answer:
Anna007 [38]3 years ago
7 0
The members 6 classes will be the same price of 11 nonmember classes
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There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the
expeople1 [14]

The probability that one of each color is selected is \frac{10x - x^2}{45}

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

  • Total  = 10
  • Red = x
  • Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

P = P(Blue) \times P(Red) + P(Red) \times P(Blue)

So, we have:

P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}

This gives

P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}

Take LCM

P = \frac{2x(10 - x)}{90}

Simplify the above expression

P = \frac{x(10 - x)}{45}

Expand

P = \frac{10x - x^2}{45}

Hence, the probability that one of each color is selected is P = \frac{10x - x^2}{45}

Read more about probabilities at:

brainly.com/question/7965468

4 0
2 years ago
Quadrilateral EFGH with diagonals EG and HF must be a parallelogram if (1) EF FG  and GH HE  (2) EG FH  (3) EG FH  (4) EF HG
qwelly [4]

Answer:

EF = HG and EF || HG

Step-by-step explanation:

A quadrilateral is a polygon shape with four sides and four angles.

A parallelogram is a quadrilateral with two pairs of parallel sides. The following are properties of a parallelogram:

  1. Opposite sides are equal and parallel.
  2. Opposite angles are equal to each other.
  3. Consecutive angles are supplementary
  4. The diagonals of a parallelogram bisect each other.

If Quadrilateral EFGH with diagonals EG and HF is a parallelogram then EF = HG and EF || HG

5 0
3 years ago
Solve the system by substitution.<br> y = x<br> y = 2x – 8
m_a_m_a [10]

Answer:

y=8

x=8

Step-by-step explanation:

y=2y-8

-y=-8

y=8

x=8

6 0
3 years ago
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Can someone please help me? I just need to get the variable alone to see what it equals, if it doesn’t have a solution, or if it
love history [14]

Answer:

the answer would be p= -4

13-3p = -5(3+2p)

13-3p = -15-10p

13 = -15-7p

28 = -7p

p = -4

4 0
3 years ago
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What is the simplified form of the following expression? 6m² + 7.2n - 4n+2m2-n
Nimfa-mama [501]

Answer:

6m² + 2.2n + 4m

Step-by-step explanation:

this the answer

3 0
2 years ago
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