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S_A_V [24]
3 years ago
6

Find two consecutive even integers whose sum is 94

Mathematics
1 answer:
statuscvo [17]3 years ago
6 0
Let n represent a number
then, n+2 represents the next even number

n + (n+2) = 94
(basically multiplying (n+2) by + 1)
n + n+ 2
2n+2= 94
2n +2 -2 = 94 -2
2n = 92
n = 46
therefore,
n+ 2
= 46+ 2
= 48

Check:
48 + 46 = 84
✔✔✔✔
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The sum of the reciprocal of two consecutive odd integers is 44/483.Write a rational equation to solve the problem.
Arturiano [62]

Answer:

Step-by-step explanation:

Let consecutive odd integers be (2x + 1) and (2x + 3)

Their reciprocals are \frac{1}{2x + 1 }    and \frac{1}{2x + 3 }

\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\

483*(4x+4) = 44*(4x² + 8x + 3)

483*4x + 483*4 = 44*4x² + 44*8x  + 44*3

1932x + 1932 = 176x² + 352x + 132

176x² + 352x + 132 -1932x - 1932 = 0      

Combine like terms

176x² + 352x - 1932x - 1932 + 132 = 0

176x² - 1580x - 1800 = 0

Divide the equation by 4

44x² - 395x - 450 = 0

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3 years ago
Survived the virus giveaway 1 to celebrate
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Answer:

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Step-by-step explanation:

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Read 2 more answers
Help pls I'm so confused with this
FrozenT [24]

Answer:

6400 AED

9.14%

yes. The interest rate is 9.14%. This is less than 10%

Step-by-step explanation:

Interest amount she would pay = total of loan to be repaid - amount borrowed

16,400 - 10,000 = 6,400 AED

Interest = loan x interest rate x time

we have all the parameters of the above equation apart from the interest rate. We can thus determine the interest rate from the above equation

6,400 AED = 10,000 x interest rate x 7

6,400 AED = 70,000 x interest rate

Divide both sides by 70,000 to find a value for interest rate

interest rate = 0.091429 = 9.14%

3 0
3 years ago
I need help with this question
jeka94
Hello!

First you find out the amount of balloons by adding them up

10 + 12 + 15 + 8 = 45

Then you add all the balloons that are not green

10 + 12 + 15 = 37

Then you put the amount of balloons that are not green over the total amount of balloons

The answer is 37/45

Hope this helps!
6 0
3 years ago
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