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Sonbull [250]
3 years ago
15

A school is selling tickets to a drama performance. On the first day of ticket sales the school sold 3 adult tickets and 1 child

ticket for a total of $38. On the second day, the school sold 3 adult tickets and 2 child tickets for a total of $52.
Which of the following system of linear equations could model this situation?
Mathematics
1 answer:
baherus [9]3 years ago
4 0

Answer:

System of linear equations

\left\{\begin{matrix} 3a+c=38 \\\\   3a+2c=52 \end{matrix}\right.

a: adult ticket price and c: child ticket price

Step-by-step explanation:

This system of equations can be used to find the price of the adult and child tickets.

We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).

Let a: adult ticket price and c: child ticket price,

we have for the first day that 3 adult tickets and 1 child ticket adds $38:

3a+1c=38

and for the second day we have that 2 adult tickets and 2 child tickets adds $52:

3a+2c=52

If we write this as a system of equations, we have:

\left\{\begin{matrix} 3a+c=38 \\\\   3a+2c=52 \end{matrix}\right.

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Answer:

  see the attached

Step-by-step explanation:

In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.

Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.

Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.

Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.

Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.

Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.

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5 0
3 years ago
I need to know this plz and thank u
mr_godi [17]
The third one :) I hope I did it right
3 0
3 years ago
Read 2 more answers
A strand of bacteria has a doubling time of 15 minutes. If the population starts with 10 organisms, how long would it take for t
slamgirl [31]

In 90 minutes the population to grow to 700 organisms.

Given that,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

We have to determine,

How long would it take for the population to grow to 700 organisms?

According to the question,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.

\rm = 10 \times 2 = 20 \ bacteria

In 15 minutes 20 bacteria for the population to grow.

In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.

\rm = 20 \times 2 = 40 \ bacteria

In 30 minutes 40 bacteria for the population to grow.

In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.

\rm = 40 \times 2 = 80 \ bacteria

In 45 minutes 80 bacteria for the population to grow.

In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.

\rm = 80 \times 2 = 160 \ bacteria

In 60 minutes 160 bacteria for the population to grow.

In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.

\rm = 160 \times 2 = 320 \ bacteria

In 75 minutes 320 bacteria for the population to grow.

In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.

\rm = 320 \times 2 = 640 \ bacteria

In 90 minutes 640 bacteria for the population to grow.

In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.

\rm = 640 \times 2 = 1280 \ bacteria

In 120 minutes 1280 bacteria for the population to grow.

Hence, In 90 minutes the population to grow to 700 organisms.

For more details refer to the link given below.

brainly.com/question/3188472

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2 years ago
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720/25 = 28.88

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