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Paha777 [63]
4 years ago
9

Find three consecutive odd intergers whose sum is 219

Mathematics
1 answer:
Agata [3.3K]4 years ago
8 0

Answer:

1st odd = 71

2nd odd  = 73

3rd odd  = 75

Step-by-step explanation:

As numbers are consecutive odd so let:

1st odd = x

2nd odd = x + 2

3rd odd = x + 4

According to given condition:

x + x +2 + x + 4 = 219

Adding like terms

3x + 6 = 219

Subtracting 6 from both sides

3x + 6 -6 = 219-6

3x = 213

Dividing both sides by 3

x = 213/3

x = 71

So the numbers will be:

1st odd = x = 71

2nd odd = x + 2 = 71 + 2 = 73

3rd odd = x + 4 = 71 + 4 = 75

Proof:

1st odd + 2nd odd + 3rd odd = 219

71 + 73 + 75 = 219

219 = 219

Hence proved!

I hope it will help you!

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Why can you use cross products to solve the proportion 18/5 = x/100 for x ?
Tcecarenko [31]

Answer:

Yes, you can use cross products to solve for x in this proportion. Also, x is 360.

Step-by-step explanation:

Yes, you can use cross products to solve for x in that proportion.

Here's how you do it :

\frac{18}{5} = \frac{x}{100}

We cross product, getting :

18 * 100 = 5 * x

1800 = 5x

Divide by 5 on both sides to get x by itself.

360 = x

Yes, you can use cross products to solve for x in this proportion. Also, x is 360.

Hope this helps, please mark brainliest if possible. Have a great day.

4 0
3 years ago
Need help for this one!
xeze [42]
(x+3 ; y-5)

If you have (-2 ; 3) that means x = -2 and y = 3 so:

(-2+3 ; 3-5) = (1 ; -2)
5 0
3 years ago
Solve.<br><br> −7x = x2 + 12
adelina 88 [10]

Answer:

x = - 4 , x = - 3

Step-by-step explanation:

- 7x = x^2 + 12

Take all terms to one side of equation.

x^2 + 7x + 12 = 0

Find which 2 numbers multiply to give 12 and add to give 7.

a × b = 12

a + b = 7

a = 4

b = 3

Split the middle term using these 2 numbers.

x^2 + 4x + 3x + 12 = 0

Factorise each pair of terms separately.

x ( x + 4 ) + 3 ( x + 4 ) = 0

Bring out common factor of ( x + 4 ) and factorise.

( x + 4 ) ( x + 3 ) = 0

Using the Null factor law, make the expressions in each pair of parentheses equal 0.

x + 4 = 0

x = - 4

AND

x + 3 = 0

x = - 3

THEREFORE:

x = - 4 , x = - 3

5 0
3 years ago
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Answer:

D option is correct

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3 0
3 years ago
Please help me on this one
Semenov [28]

Answer:

5

Step-by-step explanation:

5+10+10+10+10+10=55

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5 0
4 years ago
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