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shtirl [24]
2 years ago
3

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a

set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.
y = 7.5x

y = 5.5x + 10

1. Substitute: 7.5x = 5.5x + 10

How many classes could Anna take so that the total cost for the month would be the same?

5
classes

What is the total monthly cost when it is the same for both gyms?

$
Mathematics
2 answers:
Nuetrik [128]2 years ago
6 0

Answer:

5 classes and 37.5 per month

Step-by-step explanation

Margarita [4]2 years ago
5 0

Answer is $37.5 per month

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What is the additive identity of the complex number 14 + 5i?
Naddika [18.5K]

Answer: B) 0


Step-by-step explanation:

1. When you add complex numbers you must add the whole parts and then the imaginary parts.

2. One of the properties of complex numbers is called "Additive identity" which is represented by:

0+0i

3. Then, for the complex number 14+5i, you have:

(14+5i)+(0+0i)=(14+0)+(5+0)i=14+5i

4. Therefore, the answer is the option B.

7 0
2 years ago
Read 2 more answers
2.4 Backgammon. Backgammon is a board game for two players in which the playing pieces are moved according to the roll of two di
muminat

Answer:

The claim is not fair because:

  • Probability of roliing two 6s = Probability of rolling two 3s = 1/36

Step-by-step explanation:

The <em>probaility</em> of an event is defined as the number of favorable outcomes divided by the number of total possible events.

P (event E) = number of outcomes for event E / number of possible events

1. <u>As </u><u>first step</u><u>, you may draw a table to find the </u><u>sample space</u><u> (set of all possible outcomes)</u>.

<u>Sample space</u>

The results of the rolling two dice are summarized in this table:

                    Second roll    1       2       3       4        5      6

First roll

  1                                       (1,1)  (1,2)    (1,3)   (1,4)   (1,5)  (1,6)

  2                                     (2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

  3                                     (3,1)  (3,2)  <u>(3,3)</u>   (3,4)  (3,5)  (3,6)

  4                                     (4,1)   (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

  5                                     (5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

  6                                     (6,1)  (6,2)  (6,3)  (6,4)  (6,5)  <u>(6,6)</u>

<u></u>

2.<u>Now, in that table, you can observe</u>:

The results (3,3) and (6,6) are highlited.

a) Total number of events: 6 × 6 = 36

b) Nnmber of outcomes for the event rolling two 6s (6,6): 1

c) Number of outcomes for the event rolling two 3s (3,3): 1

3) <u>Next, you can calculate the probabilities:</u>

a) Probability rolling two 6s = 1 / 36

b) Probability of rolling two 3s: 1 / 36

4. <u>Conclusion</u>: the probabilities prove that rolling two 6s is just as likely as rolling two 3s.

7 0
2 years ago
Michael is shipping his mother's birthday gift to her in a rectangular box. If the gift's dimensions are 2 inches long by 5 inch
stepan [7]

Answer:

112

Step-by-step explanation:

4 0
2 years ago
You need to write an essay that has at least 500 words you have written 285 words so far right and solve an inequality that Reec
andrezito [222]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

so

w+285\geq 500                

Solve for w                        

Subtract 285 both sides        

w\geq 500-285\\w\geq 215

The minimum number of words left to write is 215

3 0
2 years ago
What is the yyy-intercept of y=-3-7xy=−3−7xy, equals, minus, 3, minus, 7, x?
stiv31 [10]

<em><u>Complete Question:</u></em>

What is the y intercept of y = -3-7x

<em><u>Answer:</u></em>

<h3>The y intercept is (0, -3)</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y = -3 - 7x

The y intercept is the point where the line crosses the y axis

<u>Finding y intercept: </u>

To determine the y-intercept, we set x equal to zero and solve for y

Substitute x = 0 in given equation

y = -3 - 7(0)

y = -3 - 0

y = -3

Thus the y intercept is (0, -3)

8 0
2 years ago
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