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babymother [125]
3 years ago
13

Keenan is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool,

he will complete a 118-yard warmup and then swim laps in a lane that is 41 yards long. If Keenan swims at the indoor pool at his gym, he will complete a 154-yard warmup, plus a main set that consists of 32 yards per lap. If Keenan swims the correct number of laps, he can complete the same distance in either pool. How many laps will that take? How long will Keenan's workout be in total?
Mathematics
1 answer:
hoa [83]3 years ago
6 0

9514 1404 393

Answer:

  • 4 laps
  • 282 yards

Step-by-step explanation:

For n laps, the length Keenan swims in the rec center pool is ...

  118 + 41n

and the length he swims in the gym pool is ...

  154 +32n

These are equal length for equal numbers of laps, so we have ...

  118 + 41n = 154 + 32n

  9n = 36 . . . . . . . . . . . . . subtract 32n+118

  n = 4 . . . . . . . . divide by 9

Then the length of Keenan's workout is ...

  118 +41(4) = 282 . . . . yards

It will take 4 laps to make the workout total 282 yards in each pool.

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Wittaler [7]

Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.

As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.

Here in the figure the other two angles given (2x)^o and (x+15)^o. Sum of these two angles is 90°.

So we can write the equation as,

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To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.

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We have got the required value of x.

The solution is x= 25.

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3 years ago
Marge cut 16 pieces of tape for mounting pictures on posterboard each piece of tape is 3/8 inches long how much tape did Marge u
daser333 [38]

Answer:

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7 0
2 years ago
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andrew-mc [135]

Answer and Step-by-step explanation:

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3 years ago
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bija089 [108]
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Serggg [28]
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