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Marat540 [252]
2 years ago
6

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost

$15. For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1500 . How many tickets of each type were sold?
Mathematics
1 answer:
Tju [1.3M]2 years ago
7 0

The advance tickets were 35 in number and the same day ticket will be 30 in number.

<h3>What will be the number of tickets?</h3>

To find out the number of the tickets sold we will give some notations so the notations are as follows:-

A= Cost of advance tickets=$30

S= cost of same-day ticket-=15

N_A= Number of the advance tickets

N_S=Number of same-day tickets.

The equations made by the given data will be:-

30N_A+15N_S=1500\\\\\\N_A+N_S=65

By solving the above equations:-

N_S=30\ \ \ \ \  \ N_A=35

Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.

To know more about linear equations follow

brainly.com/question/14323743

#SPJ1

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Determine the intercepts of the line.
djverab [1.8K]

y = -3x +12\\\\\text{Plug x = 0 to find  y - intercept,}\\\\y = -3(0) +12 = 12\\\\\text{So, y-intercept is (0,12).}\\\\\text{Plug y=0 to find  x - intercept,}\\\\0 = -3x +12\\\\\implies -3x = -12\\\\\implies 3x = 12\\\\\implies x = \dfrac{12}{3} = 4 \\\\\\\text{So, x - intercept is (4,0).}

5 0
2 years ago
4462 mm² in m²
Varvara68 [4.7K]

Answer:

0.004462m²

612000m²

0.0482m²

Step-by-step explanation:

Using the conversion

1mm² = 10^-6m²

4462mm² = x

Cross multiply

1 * x = 4462 * 10^-6

x = 4462 * 10^-6

x = 4.462 * 10^3 * 10^-6

x = 4.462*10^{3-6}

x = 4.462*10^-3

x = 0.004462m²

Hence 4462 mm² in m² is 0.004462m²

0.612 km² in m²

1km² = 10^6m²

0.612km² = y

Cross multiply

1 * y = 0.612 * 10^6

y = 0.612*1,000,000

y = 612000m²

Hence 0.612 km² in m² is 612000m²

482 cm² in m²

1cm² = 0.0001m²

482 cm²  = z

z = 482 * 0.0001

z = 0.0482m²

Hence 482 cm² in m² is 0.0482m²

6 0
2 years ago
Given the linear equation 3x + y = 5, find the slope of its graph
umka2103 [35]

Answer:

B) -3

Step-by-step explanation:

1. First you have to write the equation in slope intercept form. To do that, you must have y be alone on one side.

2. move the 3x to the right side with the 5 by subtracting 3x from both sides. Since 3x will cancel on the left, y will be left alone. y=-3x+5

3. Now that you're in slope intercept form, you can find the slope easily. The slope will always be the number in front of x. In this case, the number in front of x is -3. Therefore, -3 is your slope!

7 0
3 years ago
Read 2 more answers
Can someone see if these are right?
qwelly [4]
I didn't get the same answers.

In this problem, 25 is your constant (the number of baby hats you already started out with).
26 will be affected by your variable, d, the number of days. With each day that passes, 26 more hats will be knit, so the expression 26d can be used. 

Set h equal to the constant + hats made per day to create an expression that you can use to solve for h:
h = 26d + 25

Now, just plug the numbers in for d to get h:
When d = 2, h = 26d + 25 = 26(2) + 25 = 77
When d = 4, h = 26d + 25 = 26(4) + 25 = 129
When d = 7, h = 26d + 25 = 26(7) + 25 = 207
When d = 9, h = 26d + 25 = 26(9) + 25 = 259

Your answers should be:
77
129
207
259
5 0
3 years ago
Tell whether 24 is a factor or multiple of the 6.
gregori [183]

Answer:

yes

Step-by-step explanation:

it is a factor because you can keep * every time

8 0
3 years ago
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