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vagabundo [1.1K]
3 years ago
12

Hi, What is the lowest positive integer greater than 1, which when divided by 5 or 8 leaves a remainder of 1

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0
Very interesting question!

Let's try to get something that would work for just 5 for now.
Any of these numbers would leave a remainder of 1 when divided by just 5:
6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, ...
Notice that they all look like 5*(something) + 1. Basically, they are all multiples of 5 plus 1.

Let's see what would work for just 8:
9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, ...

Are there any matches... AHA! It's 81. This is the lowest positive integer greater than 1 that follows the rule for both 5 and 8.
You might be interested in
Please answer quickly<br>expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)​
Gekata [30.6K]

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

5 0
2 years ago
Help me againnnnnnnnnnnnnnnnnnnnnnn
OLEGan [10]

Step-by-step explanation:

(2m + 4) / 8 = w

2m + 4 = 8w

2m = 8w - 4

m = 4w - 2

8 0
2 years ago
Read 2 more answers
6a*2-a-15 factoring and soulutions
eduard
6a(2)-a-15
=12a+-a+-15
Combine Like Terms:<span>=<span><span><span>12a</span>+<span>−a</span></span>+<span>−15</span></span></span><span>=<span><span>(<span><span>12a</span>+<span>−a</span></span>)</span>+<span>(<span>−15</span>)</span></span></span><span>=<span><span>11a</span>+<span>−15</span></span></span>Answer:<span>=<span><span>11a</span>−15</span></span> <span>

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</span>

4 0
3 years ago
Simplify (9 + 8 – 6)(4 – 5)<br><br> Please show your work.<br><br> Thanks for your time!
IrinaK [193]

Answer:

-11

Step-by-step explanation:

(9+8-6)(4-5)

(17-6)(-1)

(11)(-1)

-11

8 0
3 years ago
I really need help with this ! Thanks !
slamgirl [31]
SohCahToa

Sin=oposite side/hyptoonuse
Cos=adjacent side/hypotonuse
Tan=oposite side/hypotonuse

oposite side is the side oposite the angle
adjacent side is the side touching the angle that isn't the hypotonuse
hypotonuse is longest side





1.
first solve for hypotonuse using a²+b²=c²
hypotonuse=13
sinA=12/13
cosA=5/13
tanA=12/5
sinB=5/13
cosB=12/13
toa=5/12


2. the missing side is 8
sinD=15/17
cosD=5/17
tanD=15/5=3
sinE=5/17
cosE=15/17
tanE=5/15=1/3


3. missing side is 25
you should be able to do this
sinG=7/25
do the rest


4.
missing side is 6
sinJ=6/10=3/5
do the rest
7 0
3 years ago
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