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gogolik [260]
3 years ago
6

Stephen won tickets playing the pool game at the local arcade. The first time, he won 90 tickets. The second time, he won a bonu

s, which was 5 times the number of tickets of the original second prize. Altogether he won 300 tickets. How many tickets was the original second prize?
Mathematics
1 answer:
EastWind [94]3 years ago
8 0

Answer:

42 tickets

Step-by-step explanation:

First winning = 90 tickets

Bonus won = 5 times the number of tickets of the original second prize

Total tickets won = 300

That is ;

First winning + bonus = 300 tickets

Let :

Number Tickets won by original second price = x

Bonus = 5x

Then;

90 + 5x = 300

5x = 300 - 90

5x = 210

x = 210 / 5

x = 42

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Answer:

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7 0
3 years ago
Read 2 more answers
Find the percent of decrease from 340 to 260. Round to the nearest tenth of a percent if necessary.
Marina CMI [18]

To get the solution, we are looking for, we need to point out what we know.


1. We assume, that the number 340 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 340, so we can write it down as 100%=340.

4. We know, that x% equals 260 of the output value, so we can write it down as x%=260.

5. Now we have two simple equations:

1) 100%=340

2) x%=260

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=340/260

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 260 is what percent of 340


100%/x%=340/260

(100/x)*x=(340/260)*x - we multiply both sides of the equation by x

100=1.30769230769*x - we divide both sides of the equation by (1.30769230769) to get x

100/1.30769230769=x

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now we have:

260 is 76.4705882353% of 340

8 0
3 years ago
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Answer:

d = 17.5499287748 inches or 17.5 inches to 1 decimal place

Step-by-step explanation:

find the diagonal line passing through the middle of the bottom rectangle:

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a² + b² = c²

12² + 12.80624847298² = c²

144+ 164 = 308

c² = 308

c = √308

c = 17.5499287748

therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place

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