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ra1l [238]
3 years ago
15

8. MOVIE TICKETS Tickets to a movie cost $25 for adults and 5.50 formodents A group of friends purchased 8 tickets for $52.75 a

Write a system of equations to represent the station​
Mathematics
1 answer:
icang [17]3 years ago
5 0

Answer and Step-by-step explanation:

\left \{ {{25x+5.50y=52.75} \atop {x+y=8}} \right.

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100 POINTS AND BRAINLIEST
zysi [14]

Answer:

8 square units and \frac{40}{3} square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor \frac{1}{3}, then

\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.

2. Triangles ABC and DBE are similar with scale factor \frac{2}{3}, then

\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.

3. Thus, the area of the quadrilateral DFGE is

A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.

and the area of the quadrilateral ADEC is

A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.

4 0
3 years ago
Read 2 more answers
Mark and eight of his friends went out to
Cerrena [4.2K]
If mark and 8 of his friends went out the total of people is 9, so if you think about it 9x9=81 so the total cost of the bill was $81
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3 years ago
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A ladder is inclined at only 23 degrees against the wall what the height of the ladder reaches up the wall
maw [93]

Step-by-step explanation:

To determine what the height of the ladder reaches up the wall we need to know the height of ladder which is not provided in the question.

So if I assume the height of ladder to be 10ft( just a general assumption)

Then, inclined ladder, wall and distance been the bottom of the ladder and wall will form a right angle triangle.

where height of ladder will be hypotenuse, height of the ladder reaches up the wall will be perpendicular and distance been the bottom of the ladder and wall will be base.

Since, A ladder is inclined at 23 degrees against the wall

⇒ height of the ladder reaches up the wall  = Height of ladder×sin23°

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3 years ago
Algebra 3, in the excercise size the graphs to determine the functions domain and range, x and y intercepts if any, and the func
fredd [130]

Answer:

Read Explanation

Step-by-step explanation:

The domain is a list of all possible x-values, this graph starts at 0 and proceeds to positive infinity, making the domain:

[0,∞)

The range is a list of all possible y-values, this graph starts at -1 and proceeds to positive infinity, making the range:

[-1,∞)

x-intercepts Are where the line crosses the x-axis, in this graph the line only crosses the x-axis at x of 2. Making its only x-intercept 2.

y-intercepts Are where the line crosses the y-axis, in this graph the line only crosses the y-axis at y of -1. Therefore its y-intercept is -1.

In function notation when a question asks for f(x) its asking for the y values at the given x-values. At x of 3 the y value equals 1.

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2 years ago
Choose the correct first step(s) to solve the system using elimination. 4x + 7y = 6 and 6x + y = 2
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