15 cards are selected out of a 52 card deck such that after each card is selected, it is placed back into the deck and the deck

Answer:

Wyatt participated in 3 games and enjoyed 6 rides

Step-by-step explanation:

Let x represent the number of games

And let y represent the number of rides

Each game costs $1.25

Each ride costs $2.75

The total expenses incurred by Wyatt amounted to $20.25

Thus, the equation becomes: x1.25 + y2.75 = 20.25..... Equation 1

The number of rides he enjoyed is double the games he competed in

Y = 2x... Equation 2

By substituting the value of y into equation 1

x1.25 + y2.75 = 20.25

x1.25 + 2(x)2.75 = 20.25

x1.25 + x5.5 = 20.25

x6.75= 20.25

x= 20.25/6.75

X= 3

Y= 2x

Y= 2(3)

Y= 6

Thus, Wyatt participated in 3 games and enjoyed 6 rides

Answer:

Step-by-step explanation:

Annual gross salary = $28000

Income tax = 20% applicable to earnings exceeding $15000

Thus, she has a taxable amount of $5000

Rent loan equals $140 monthly = $140 * 12= $1680 per year

Tax deductible annually would be 20% of $5000

20 / 100 * $5000 = $1000

Her total net income annually is equal to

Gross salary per annum - tax - loan =

($28000 - $1000 - $1680) = $25,320

Ayesha's take-home pay annually is $25,320.

The question is as follows:
<span>In what ways does the graph of g(x)=1/x-5+2 differ from the graph of the parent function f(x)=1/x?
</span>
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Solution:
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The given function ⇒

The parent function of the provided function ⇒

After graphing both equations, as illustrated in the attached image.
It can be concluded that
<span>g(x) is translated 5 units to the right and 2 units upwards from f(x).
</span>

Thus, the correct answer is option 2
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Response:

D. The sidelines are parallel because they are perpendicular to a common line.

Justification:

According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.

P(volleyball and baseball) = 4/200 x 100 = 2%
P(volleyball or baseball) = P(volleyball ∪ baseball) = P(volleyball) + P(baseball) - P(volleyball and baseball) = 12% + 15% - 2% = 25%.

Thus, 25% of students participate in either volleyball or baseball.