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shtirl [24]
3 years ago
5

The sum of 3 consecutive even integers is 78. What is the largest of the integers?

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0

Answer:

28

Step-by-step explanation:

Let the first even integer be a.

The second even integer = a + 2

The third even integer = 2 + (a + 2) = a + 4

The sum of three consecutive even integers = 78

78 = a + (a + 2) + (a + 4)

78 = 3a + 6

72 = 3a

a = 24

The largest even integers is the third even integer = a + 4 = 24 + 4 = 28

Maksim231197 [3]3 years ago
3 0

Answer:

is the sum 78 or 7,878 (i.e. was there a stutter)?

In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.

Set that to either 78 or 7878, whichever is intended, & solve for n.   If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.

No stress!  Just logic! Keep the faith!

Step-by-step explanation:

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VikaD [51]

Answer:

Perimeter of the triangle = (2.4f+4.4g-5.4h) centimeters.

Step-by-step explanation:

It is given that, a triangle has side lengths of (1.3f+2.9g) cm, (1.1f-7.7h)cm, and (2.3h+1.5g) cm.

We have to find the expression which represents the perimeter, in centimeters, of the triangle.

Perimeter of a triangle = Sum of its all the sides.

Perimeter=(1.3f+2.9g)+(1.1f-7.7h)+(2.3h+1.5g)

On combining like terms, we get

Perimeter=(1.3f+1.1f)+(2.9g+1.5g)+(-7.7h+2.3h)

Perimeter=2.4f+4.4g+(-5.4h)

Perimeter=2.4f+4.4g-5.4h

Therefore, the perimeter of the triangle is (2.4f+4.4g-5.4h) centimeters.

8 0
2 years ago
There are 17 kites in a kite-flying contest at the beach. There are 3 times as many box kites as butterfly kites. There are 2 mo
alina1380 [7]
C is your answer. 5x + 2 = 17

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x + 3x + x + 2 = 17
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3 years ago
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Answer:

y₀.₉₅ = 3659

Step-by-step explanation:

P( no accident ) = 0.8

P( one accident ) = 0

deductible = 500

mean = 3000

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Assuming : y =company payout , x =amount of loss incurred due to accident

Then :

P( x < 500 ) = 0.2 ( 1 - e^-500/3000)

                   = 0.2 ( 1 - e^-1/6 )

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5 0
2 years ago
triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what
scoray [572]

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

4 0
2 years ago
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