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WINSTONCH [101]
3 years ago
6

What is the distance between the points (2, 1) and (14, 6) on a coordinate

Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0
The distance between the points (2,1) and (14,6) on a coordinate is C. 13 units
DochEvi [55]3 years ago
6 0

Answer:12/5

Step-by-step explanation:

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A movie Theater charges $6.50 for morning tickets and $8.75 for night tickets the theater sold 378 tickets for a total amount of
Xelga [282]

Answer:

The number of sold morning tickets are 168.

Step-by-step explanation:

Given,

Total number of tickets = 378

Total earned amount = $2929.50

Charge of each morning ticket = $6.50

Charge of each night ticket = $8.75

Solution,

Let the number of morning tickets be 'x'.

And also let the number of night tickets be 'y'.

So, the total number of tickets is the sum of number of morning tickets and number of evening tickets.

So, framing in equation form, we get;

x+y=378\ \ \ \ equation\ 1

Again, Total earned amount is the sum of number of morning tickets multiplied with charge of each ticket and number of evening tickets multiplied with charge of each ticket.

So, framing in equation form, we get;

6.50x+8.75y=2929.50\ \ \ equation\ 2

On multiplying equation 2 by 100 on both side, we get;

100(6.50x+8.75y)=2929.50\times100\\\\650x+875y=292950\ \ \ \ equation\ 3

Now multiplying equation 1 by '650', we get;

650(x+y)=378\times650\\\\650x+650y=245700\ \ \ \ equation\ 4

Now subtracting equation 4 from equation 3, we get;

(650x+875y)-(650x+650y)=292950-245700\\\\650x+875y-650x-650y=47250\\\\225y=47250\\\\y=\frac{47250}{225}=210

Now substituting the value of'y' in equation 1, we get;

x+y=378\\\\x+210=378\\\\x=378-210=168

Hence The number of sold morning tickets are 168.

Whereas The number of sold night tickets are 210.

5 0
3 years ago
Indicate the equation of the given line in standard form. The line with slope and containing the midpoint of the segment whose e
Tems11 [23]

Answer:

x + y = -1

Step-by-step explanation:

To write the equation of a line, find the slope and use it with a point in the point slope form.

You can find the slope using the slope formula.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{5--3}{-6-2} = \frac{8}{-8}=-1

Substitute m = -1 and the point (2,-3) into the point slope form.

y - y_1 = m(x-x_1)\\y --3 = -1(x-2)\\y+3=-1(x-2)

Convert to standard form by applying the distributive property and rearranging the terms.

y+3 = -1(x-2)

y + 3 = -x + 2

x + y + 3 = 2

x + y = -1

8 0
3 years ago
One way to recognize a line of symmetry is to look for a line that divides the original image into?
Hunter-Best [27]

Answer:

Half

Step-by-step explanation:

by dividing in half, it shows both sides are equal/symmetric

hope this helps:)

4 0
2 years ago
Read 2 more answers
Sadie has a blue ribbon and a red ribbon. The blue ribbon is 12 inches long. The blue ribbon is 3 times longer than the red ribb
yanalaym [24]
Multiplication it says time 3 so 12 times 3 is 36
7 0
3 years ago
in pennsylvania the percent of sales tax is 6%, what is the sales tax on a skateboard that costs $98?
Stells [14]

Answer:

$103.88

Step-by-step explanation:

$98 + 6% is 103.88.

6 0
2 years ago
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