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Tamiku [17]
3 years ago
5

University theater sold 529 tickets for a play. Tickets cost $25 per adult and $15 per senior citizen. If total receipts were $9

745, how many senior citizen tickets were sold?
Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

Adults = x

Senior Citizens = y

x + y = 529......1

25x + 15y = 9745...2

Multiply (1) by 15

15x + 15y = 7935....3

25x + 15y = 9745....2

Subtract 3 from 2

10x = 1810

 

x = 181

Substitute x = 181 in

Eq (1)

x + y = 529

181 + y = 529

y = 529 - 181

y = 348

181 adults and 348 Senior Citizens

Hope this helps.

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A printer is printing photos. For every 15 photos, the printer takes 3 minutes.
Alex17521 [72]

Answer:

3:15, 5:25, 7:35, 8:40, 10:50

Step-by-step explanation:

When I first tried this I thought it was for every one there was fifteen. I messed up then looked, realized, and changed it. For every 3 there is 15 so 15 ÷ 3 = 5 so when I saw the 5 I multiplied it by five to get 25 then continued throughout. Your first step when doing these problems again is to divide (but make sure you divide the right number) then once you find out that sweet number, multiply is by the time to get the photos, and divide by five on the photos to get the time.

<em>Hope you got this right!</em>  

4 0
3 years ago
What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?
dybincka [34]

What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

5y = -2x + b

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

\frac{5}{5}y = -\frac{2}{5}x + b

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.

(-4) = -\frac{2}{5} * (5) + b

--> -4 = \frac{10}{5} + b

---> -4 = -2 + b

Add 2 to both sides to isolate b.

-4 + 2 = b

Which means that -2 = b.

Now that we have the y intercept, we can write the equation of the line, which is y = -\frac{2}{5}x - 2.

Hope this was helpful.

3 0
3 years ago
Which of these triangles are translations of Triangle A?
kondaur [170]

Answer:

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8 0
3 years ago
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What single decimal multiplier would you use to increase by 18% followed by a<br> 12% decrease?
ValentinkaMS [17]

Answer:

The single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

Step-by-step explanation:

Let 'x' be the number

As first the number has to be increased by 18%

so

Step 1: write the percentage '18%' in decimal form

18% = 0.18    

Step 2: For percentage increases: add the decimal to 1

1 + 0.18 = 1.18    

Step 3: Multiply the number x by the multiplier, found in Step 2

x × 1.18 = 1.18x

<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>

Apply the same method but with a number 1.18x

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12% = 0.12

  • For percentage decreases: subtract the decimal to 1

1 - 0.18 = 0.18

  • Multiply the number 1.18x by the multiplier, found in Previous step

1.18x × 0.18 = 0.21x

Therefore, the single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

7 0
3 years ago
Samantha can run one mile in 8 minutes. At this rate how long will it take her to run in 5 miles
Serhud [2]
It would take Samantha 40 minutes to run 5 miles!!!
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3 years ago
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