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2 years ago

The sum of two consecutive even integers is 122. What are the two numbers?

Mathematics

2 answers:

irakobra [83]2 years ago

7 0

Answer:

Let the first number = x
Therefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number)
Now, According to question
x + x + 2 = 122
2x + 2 = 122
2x = 122-2
2x = 120
x = 120/2
x = 60
Now, first no. = x = 60
Therefore, second no. = x + 2 = 60 + 2 = 62
Equation 60 + 62 = 122

Step-by-step explanation:

If you like my answer than please mark me brainliest

leonid [27]2 years ago

3 0

Answer:

The numbers are : 60 , 62

Step-by-step explanation:

Let the two consecutive even numbers be 2x , 2x + 2

2x + 2x + 2 = 122

Combine like terms

4x + 2 = 122

Subtract 2 from both sides

4x = 122 - 2

4x = 120

x = 120/4

x = 30

2x = 2*30 = 60

2x + 2 = 2*30 + 2 = 60 + 2 = 62

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abruzzese [7]

Answer:

h = 13.333 +693.333/r

Step-by-step explanation:

For h hours, Brandee's pay will be ...

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pay = 40r +1.5hr -60r . . . . . eliminate parentheses

pay = 1.5hr -20r . . . . . . . . . . collect terms

Solving for h, we have ...

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_____

<em>Additional comments</em>

You need to know r to find the number of hours Brandee worked. She got paid $800 for a presumed 40-hours of regular time, so made r = $20 per hour. The above formula will tell you she worked 48 hours in the pay period.

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3 years ago

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Daniel [21]

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3 years ago

Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1

Nesterboy [21]

Answer:

$x=4$

Step-by-step explanation:

Given $\displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1$ , start by squaring both sides to work towards isolating $x$ :

$\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2$

Recall $(a-b)^2=a^2-2ab+b^2$ and $\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}$ :

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Isolate the radical:

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Square both sides:

$\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2$

Expand using FOIL and $(a+b)^2=a^2+2ab+b^2$ :

$\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36$

Move everything to one side to get a quadratic:

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Solving using the quadratic formula:

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Solving yields:

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2 years ago

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Alexxandr [17]

Answer:

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Step-by-step explanation:

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lilavasa [31]

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* combine like terms

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