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Ymorist [56]
3 years ago
12

Prove that the sum of three consecutive integers is divisible by 3

Mathematics
2 answers:
nadya68 [22]3 years ago
6 0
Since n (any number) + (n+1) + (n+2) is also 3n + 3, it must be divisible by 3 because it is multiple of 3
11111nata11111 [884]3 years ago
4 0

Answer:

n+n+1+n+2=3n+3=3(n+1)

Step-by-step explanation:

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A radio is being discounted 40%. If the sale price of the radio is $31.02, what was the original price of the radio?
kobusy [5.1K]

Answer:

$51.70 is the original price

Step-by-step explanation:

Step 1:

Turn 40% into a decimal which makes it 0.40

ex. 50% would be 0.50, 5% would be 0.05 etc.

Step 2:

Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price

x - 0.40x = 31.02  this is basically 1x - 0.40x = 31.02 so,

Solving the left side of our equation gives us 1x - 0.40x = 0.60x

so now you have: 0.60x = 31.02

Step 3:

Divide both sides by 0.60 which gets x by itself and gives us the original price which is $51.70

8 0
3 years ago
A group. of 5 friends are sharing 2 pounds of trail mix.Write a division problem and a fraction to represent this situation.
sergejj [24]
5 divided by 2 or 2/5
4 0
4 years ago
Plz help me with my geometry asap 50 pts and brainliest NO SCAMMING OR I WILL REPORT
bearhunter [10]

Step-by-step explanation:

1. You already got the first step, where D is the midpoint of AC and AB is congruent to BC, since it's given.

2. AD will be congruent to DC, via the definition of a midpoint (a midpoint is the middle point of a line segment, and it splits the segment into two congruent parts)

3. BD is equal to BD, via reflexive property. ( It's a shared side between the two triangles)

4. that means that ΔADB ≅ΔCDB via SSS rule.

5. ∠ABD ≅∠CDB by CPCTC (corresponding parts of congruent triangles are congruent)

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
Write 9/10 as a division
Arte-miy333 [17]

Answer:

9/10 can be written as 9÷10

Step-by-step explanation:

which Will 0.9

7 0
4 years ago
Read 2 more answers
Please help, simplify the polynomial 14x^2+4+3x-12x^2-3+11x
Misha Larkins [42]
When simplifying you want to combine like terms so 14x²-12x² will equal 2x², now we move on to X, where 3x+11x will result in 14x, last we add up numbers without X so 4-3 is 1.
The Answer will end up being 2x²+14x+1 (B)
4 0
3 years ago
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