Line t intersects parallel lines 1 and 2 as shown below.

20. Find the quotient.

ozzi

Answer:

The correct answer is J. 10

Step-by-step explanation:

The answer to the equation 4/5 divided by 2/25 is equal to 10.

5 0

3 years ago

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Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man

Kryger [21]

Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

$a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}$

$\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}$

3 0

2 years ago

The graph of the quadratic function y=-x^2-2x+3 is shown below

Karolina [17]

Answer:

The axis of symmetry is at $x=-1$

The graph has an x-intercept at $(1,0)$

The graph has a vertex at $(-1,4)$

Step-by-step explanation:

we have

$y=-x^{2}-2x+3$

Statements

case 1) The graph has root at $3$ and $1$

The statement is False

Because, the roots of the quadratic equation are the values of x when the value of y is equal to zero (x-intercepts)

Observing the graph, the roots are at $-3$ and $1$

case 2) The axis of symmetry is at $x=-1$

The statement is True

Observing the graph, the vertex is the point $(-1,4)$

The axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

so

the equation of the axis of symmetry is $x=-1$

case 3) The graph has an x-intercept at $(1,0)$

The statement is True

see procedure case 1)

case 4) The graph has an y-intercept at $(-3,0)$

The statement is False

Because, the y-intercept is the value of y when the value of x is equal to zero

Observing the graph, the y-intercept is the point $(0,3)$

case 5) The graph has a relative minimum at $(-1,4)$

The statement is False

Because, is a vertical parabola open downward, therefore the vertex is a maximum

The point $(-1,4)$ represent the vertex of the parabola, so is a maximum

case 6) The graph has a vertex at $(-1,4)$

The statement is True

see the procedure case 5)

see the attached figure to better understand the problem

6 0

2 years ago

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What is the best approximation of the solution to the

denis-greek [22]

Answer: Choice C. (1, -6)

Explanation: The two lines cross at around this location. The solution point is on both lines at the same time.

3 0

2 years ago

A researcher at a school of nursing decides to investigate the correlation between a pre- admission HESI examination, high schoo

Nataly_w [17]

Answer: D. Predictive validity

Step-by-step explanation: Predictive validity can be explained as a method of determining the degree or level of correctness of a prediction using pre-existing information or data and values obtained from the actual measurement.

In the scenario above, the researchers investigates the correlation or relationship between the predicted value obtained using a pre- admission HESI examination, high school GPA, and SAT scores and the actual grade received upon completion of the first year. This process is to analyze or determine the validity of our prediction.

4 0

2 years ago