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e-lub [12.9K]
3 years ago
11

The sum of 3 consecutive even numbers is 270 what is the first number in this sequence?

Mathematics
2 answers:
EastWind [94]3 years ago
7 0

Answer:

88

Step-by-step explanation:

ad-work [718]3 years ago
6 0

See picture for answer and solution steps.

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PLEASE HELP ME NOW URGENT
timama [110]

ANSWER

y   = 3 \pm \sqrt{21}

EXPLANATION

The quadratic equation is:

{y}^{2}  - 6y - 12 = 0

Group variable terms:

{y}^{2}  - 6y = 12

Add the square of half, the coefficient of y to both sides.

{y}^{2}  - 6y  + ( - 3) ^{2} = 12 + ( - 3) ^{2}

{y}^{2}  - 6y  + 9= 12 + 9

The LHS us now a perfect square trinomial:

{(y - 3)}^{2}= 21

Take square root:

y - 3 =  \pm \sqrt{21}

y = 3 \pm \sqrt{21}

The first choice is correct.

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A car travels the first 50km of its journey at an average speed of 25m/s snd the next 120km at an average speed of 80km/h. The c
Alex17521 [72]

Answer:

84,6km/h

Step-by-step explanation:

the whole journey was

in the first part the car travels 50km, in the second part 120km and in the third part we can find it with a simple rule of three

90km--->60 min

X<--------35min= 52.5 km the car made in the last part

50km+120km+52,5km=222.5km was all the journey

and he made it in:

  • the last part in 35min,
  • in the second part we know that the car was going at 80km/h and that he made 120km so:

80km--->60 min

120km--->90 min

  • in the first part we know that the car was going at 25m/s and he made 50km. 25m/s*1km/1000m*3600s/1h= we obtain the speed in km/h=90km/h

90km---->60min

50km---->x=33,333 min

The whole journey last 33,333min+90min+35min=158.333min

if we express that in hour = 158.333min*1hr/60min=2.63

the car made 222.5km in 2.63 hour

so the average speed was

222.5---->2.63hr

X--------1hr=84,6

the average speed was 84,6km/h

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Please help me with this and show work thank you
meriva

Step-by-step explanation:

answer is - 490 and please help me any question

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