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o-na [289]
3 years ago
7

The sum of 3 consecutive integers is 47 more than the first integer. Find the three integers.

Mathematics
1 answer:
ss7ja [257]3 years ago
7 0

Answer:

22,23,24

Step-by-step explanation:

Well, you need to first find two consecutive integers that add up to 47, because that is the difference between the first digit and the total. This happens to be 23 and 24. Once you get these two numbers, the 22 comes intuitively, as you have to add 23 and 24 to get a difference between 22 and (22+23+24).

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Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The
ExtremeBDS [4]

Answer:

  • 800 kph
  • 600 kph

Step-by-step explanation:

<u>Equation</u>

Let s represent the speed of the faster plane. Then its travel time is ...

  time = distance/speed = 3600/s

travel time for the slower plane is ...

  time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

  3600/(s -200) -3600/s = 1.5

<u>Solution</u>

Multiplying by (2/3)s(s -200), we get ...

  2400(s) -2400(s -200) = s(s -200)

  s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

  (s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

<u>Conclusion</u>

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

<em>Check</em>

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0
3 years ago
0.09 is one tenth of
liq [111]
<u>0.09</u> = <u>1 </u>
0.9      10

I hope this helps.

4 0
3 years ago
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What is the five-number summary for this data set?
Natali [406]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
F(3)=4x-2 <br> F(1/2)=4x-2<br> F(-5)=4x-2
Gemiola [76]
3 x 49 = 39 thank me
3 0
3 years ago
an initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. how long will it take to double t
tino4ka555 [31]

Answer:

20 years

Step-by-step explanation:

9000/ 100= 900 = 10%

900/2= 450

450 x 2= 900

900 x 10= 9000

Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.

8 0
3 years ago
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