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Nimfa-mama [501]
3 years ago
15

Three consecutive even integers have the property that when the difference between the first and twice the second is found, the

result is eight more than the third. Find the three consecutive even integers
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Consecutive even integers are -8, -6 and -4

Step-by-step explanation:

Let  be the first even integer then the next two integers will be: x+2 and x+6

According to given property, we get

x - 2(x+2) = (x+4)+8\\x-2x-4 = x+4+8\\-x-4 = x+12\\-x-x = 12+4\\-2x = 16

Dividing both sides by -2

\frac{-2x}{-2} = \frac{16}{-2}\\x = -8

The two next integers are:

x+2 = -8+2 = -6

x+4 = -8+4 = -4

<u>Verification:</u>

-8-2(-6) = -4+8\\-8+12 = +4\\4 = 4

Hence, Consecutive even integers are -8, -6 and -4

Keywords: Linear equation, Variables

Learn more about linear equation at:

  • brainly.com/question/10677255
  • brainly.com/question/10689103

#LearnwithBrainly

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Answer:

A) 128

B) 7800

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3 years ago
At a restaurant, three salads, two sandwiches, and one drink cost $17.75. One salad, one sandwich, and three drinks cost $10.75.
Leno4ka [110]

Answer:

A salad costs $2.50

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A drink costs $1.25

Step-by-step explanation:

Let x represent the salad, y represent the sandwich, and z represent the drink.

Since three salads, two sandwiches, and one drink cost $17.75:

3x + 2y + z = 17.75  (1)

Since one salad, one sandwich, and three drinks cost $10.75:

x + y + 3z = 10.75  (2)

Since a salad costs twice as much as a drink:

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Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:

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3x + 2y + z = 17.75

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Replace the x with 2z using equation 3:

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5 0
3 years ago
Which of the following could be the side lengths of a right triangle
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The lengths of a right triangle's three sides can be expressed as 24, 32, and 40.

Let's work our way through the solution. According to the right triangle formula, a triangle's hypotenuse square equals the sum of its base square and its altitude square.

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If leg an is absent, change the equation to its form when leg an is present on one side and compute the square root: a = (c2 - b2).

Leg b must be unknown otherwise. b = √(c² - a²)

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IRINA_888 [86]

Answer:

B) -15

Step-by-step explanation:

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3 years ago
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