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Mnenie [13.5K]
3 years ago
11

When are the absolute value and the opposite of a rational number equal

Mathematics
1 answer:
natulia [17]3 years ago
8 0
|a| = -a if a < 0

The absolute value and the opposite of rational number is equal when a number is negative.

Examples:

|-7| = - (-7) = 7

|-0.5| = - (-0.5) = 0.5
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The sum of 5 consecutive integers is 205. What is the third number?
Elza [17]
If 5 consecutive integers is 205,

then a + b + c + d + e = 205
 but also, each integer is separated  by a difference of 1

⇒  a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒  5a + 10 = 205
⇒            5a = 195
⇒               a = 39

∴ third term = 39 + 2
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An equation and the first step in its solution are shown: Equation: x2 + 8x - 9 = 0
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2 years ago
Wale was twice as old as Ajay 10 years back. How old is Ajay today if Wale will be 40 years old 10. years hence?​
vagabundo [1.1K]

Using a system of equations, it is found that Ajay is 25 years old today.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Wale's age.
  • Variable y: Ajay's age.

Wale was twice as old as Ajay 10 years back, hence:

x - 10 = 2(y - 10)

x - 10 = 2y - 20

x = 2y - 10

Wale will be 40 years old in 10 years, hence:

x + 10 = 40

x = 40

Then, Ajay's present age is found as follows.

2y = x + 10

2y = 40 + 10

y = \frac{50}{2}

y = 25

You can learn more about system of equations at brainly.com/question/14183076

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2 years ago
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