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yanalaym [24]
3 years ago
10

Find three consecutive odd integers such that the sum of the first and third equals the sum of the second and 33.​

Mathematics
2 answers:
ratelena [41]3 years ago
7 0
Answer:
31, 33, 35

Explanation:
We can set the variable for the first integer of the three consecutive integers as x.

First integer=x

Because they are all odd, we can then say that the second integer is equal to the first integer plus 2.

Second integer=x+2

Using the same knowledge, we can say that the third integer is equal to the second integer plus 2.

Third integer=x+2+2
Third integer=x+4.

Now, we have our three integers:
First integer=x
Second integer=x+2
Third integer=x+4

We can write out equation out like this:
(x)+(x+4)=(x+2)+33
The sum of the first (x) and third (x+4) integers is equal to the sum of the second (x+2) and 33.

Now, we solve this equation.
(x)+(x+4)=(x+2)+33
Open up the parentheses
x+x+4=x+2+33
Combine like terms
2x+4=x+35
Subtract both sides by 4
2x+4-4=x+35-4
2x=x+31
Subtract both sides by x
2x-x=x+31-x
x=31

Now, we know that our first integer is 31. Because these integers are consecutive and odd, we know that our second integer is 33 and the third is 35.

I hope this helps!
Klio2033 [76]3 years ago
5 0

Answer:

31, 33, 35

Step by step explanation:

Due to a lack of time, I can't explain it right now, apologies.

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yulyashka [42]

Answer:

x= -3/2

Step-by-step explanation:

You would multiply both sides by 6x+10 and then that would give you 5-5)6x+10) and you would divide both sides by 5. This would give you 1=6x+10, you would then try to isolate the 6x giving you -6x=10-1  or -6x=9 and you would see if the solutions are in the defined ranges so x=-5/3 is NOT in the defined range but x=-3/2 is.

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5/10 × 3 explain how you got the answer then when finish do 4/10 × 4 and explain.
barxatty [35]

Hello from MrBillDoesMath!

Answer:

1.5,   1.6


Discussion:

The question is how to interpret 5/10 * 3.   Both multiplication and division have the same precedence but we proceed from left to right (doing the divison first)

5/10 * 3 = (5/10) * 3 = (1/2)* 3 = 3/2 = 1.5                  

Same approach for the second equation:

4/10 * 4 = (4/10) * 4 = 16/10 = 8/5 = 1.6


Thank you,

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6 0
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Solve for L.<br> P = 2L + 2W<br><br><br> L = 2/(P - W)<br> L = 2(W - 2P)<br> L = (P - 2W)/2
yanalaym [24]

Answer:

L = (P - 2W)/2

Step-by-step explanation:

This is the formula for perimeter

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Divide both sides by 2:

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