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Tema [17]
2 years ago
9

Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is one half the

price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket.
A: 1/2x + 8 = 15
B: 1/2x − 8 = 15
C: 1/2x + 15 = 8
D: 1/2x − 15 = 8
Mathematics
1 answer:
Aleks04 [339]2 years ago
8 0

Answer:

The equation is 1/2 x + 8 = 15 ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the question

- Grace and her dad are planning to attend the state fair

- The price of an adult ticket is $15

- The price of the adult ticket is one half the price of the student ticket

  plus $8

- Assume that the price of the student ticket is x

∵ The price of the student ticket is x

∵ The price of the adult ticket is half the price of the student ticket

   x plus 8

- lets multiply half by x and then add the result by 8

∴ The price of the adult ticket = 1/2 x + 8

∵ The price of the adult ticket is $15

- Equate the expression of the price of the adult ticket by the price of

 the adult ticket

∴ 1/2 x + 8 = 15

* The equation to determine how much Grace will pay for a student

  ticket is 1/2 x + 8 = 15

∴ The answer is choice A

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Answer:

-3/2

Step-by-step explanation:

Let x be the missing number

  • x*\frac{14}{25} = \frac{-28}{75}
  • x = \frac{-28}{75} * \frac{25}{14}          inverse 14/25 since it's a fraction
  • x = \frac{-28*25}{75*14}
  • x = \frac{-4*7*25}{25*3*7*2}          write 75 as 25*3 and -28 as -4*7 to simplify
  • x = \frac{-4}{6}            -4 is left on the top and 6 = 3*2
  • x = \frac{-3*2}{2*2}
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8 0
2 years ago
Let f (x)= x + 18 − 3 x − 15 Choose the correct interval form for the DOMAIN of f and then enter the values for the endpoint(s)
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Answer:

The domain of f(x) corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

Step-by-step explanation:

f(x)=X+18-3X-15

f(x)=-2X+3 (right line with negative slope)

This function exists for all values of X, so the domain corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

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Answer:

(1). y = x ~ Exp (1/3).

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

Step-by-step explanation:

Kindly check the attachment to aid in understanding the solution to the question.

So, from the question, we given the following parameters or information or data;

(A). The probability in which attempt to establish a video call via some social media app may fail with = 0.1.

(B). " If connection is established and if no connection failure occurs thereafter, then the duration of a typical video call in minutes is an exponential random variable X with E[X] = 3. "

(C). "due to an unfortunate bug in the app all calls are disconnected after 6 minutes. Let random variable Y denote the overall call duration (i.e., Y = 0 in case of failure to connect, Y = 6 when a call gets disconnected due to the bug, and Y = X otherwise.)."

(1). Hence, for FY(y) = y = x ~ Exp (1/3) for the condition that zero is equal to y = x < 6.

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

The condition to follow in order to solve this question is that y = 0 if x ≤ 0, y = x if 0 ≤ x ≤ 6 and y = 6 if x ≥ 6.

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<span>
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Answer:

C

Step-by-step explanation:

3 0
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