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2 years ago

The sum of three consecutive even numbers is one hundred sixty-two. What is the smallest of the three numbers?

Mathematics

2 answers:

notsponge [240]2 years ago

8 0

The first guy is correct

zepelin [54]2 years ago

3 0

Since the numbers are consecutive, they must be near each other in size, and therefore near one-third of 168. And since the lower number is -2 off the middle, and the upper number is +2 from the middle, the middle number must be exactly one-third of 168—otherwise the sum of the three could never be 168. Labelling the three consecutive numbers as x, y, and z:

x + y + z = 168

(y-2) + y + (y+2) = 168.

3y = 168

y = 56

therefore the smallest number (x) = 54.
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Cloud [144]

Simplify both sides if needed. The left-hand side needs simplification.

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All is left to do is add and subtract to get the x variable all alone.

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In order to be in the solution set, x has to be less than or equal to 5.

In interval notation: [5, -∞)

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2 years ago

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Natali5045456 [20]

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2 years ago

the equation y= - 5.131x2+ 31.821x - 3.333 approximates the number of people standing in line to catch a commuter train x hours

ehidna [41]

We are given function: y= $- 5.131x^2+ 31.821x - 3.333$

Where, x is the number of hours after 5a.m.

We need to approximates the number of people standing in line to catch a commuter train at 7 a.m.

From 5 a.m. to 7 a.m. total number of hours = 7-5 = 2 hours.

So, we need to plug x=2 in the given function.

Plugging x=2 in $y=- 5.131x^2+ 31.821x - 3.333$ , we get

$y=- 5.131(2)^2+ 31.821(2) - 3.333$

Let us simplify it now.

2^2= 4.

Therefore,

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Therefore, the number of people in line at 7 a.m. is approximately 40 people.

Option D.40 is correct option.

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3 years ago

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hichkok12 [17]

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photoshop1234 [79]

The answer is twelve and you can thank me later

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