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Jobisdone [24]
3 years ago
10

Prove that: (1213–1212+1211)(119–118+117) is divisible by 3, 7, 19, and 37.

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

It is only divisible by 3 but not divisible by 7, 19, and 37.

Step-by-step explanation:

The given expression is (1213 - 1212 + 1211)(119 - 118 + 117) and we have to prove whether this expression is divisible by 3, 7, 19 and 37 or not.

Now, the expression is (1213 - 1212 + 1211)(119 - 118 + 117)

= 1212 × 118

= 3 × 2 × 2 × 101 × 2 × 59 {Those are the prime factors of the expression}

Now, it is clear that the expression 1212 × 118 is only divisible by 3 but not divisible by 7, 19, and 37. (Answer)

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Greg is 10 years older than his brother gabe.he is also 3 times as old as gabe.how old is gabe
Elza [17]

Answer:

The answer is below

Step-by-step explanation:

Let us assume that the age of Greg's brother (Gabe) is x years, and let Greg's age by y years. Since Greg is 10 years older than his brother gabe, then:

y = x + 10           (1)

Also. Greg is 3 times as old as Gabe, hence:

y = 3x                 (2)

From equation 1 and equation 2:

y = x + 10 = 3x

Hence:

3x = x + 10

Subtracting x from both sides gives:

3x - x = x + 10 - x

2x = 10

Dividing by 2:

2x/2 = 10/2

x = 5 years

y = x + 10 = 5 + 10 = 15 years

Therefore Gabe is 5 years old and Greg is 15 years old

8 0
3 years ago
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Angelina_Jolie [31]

Answer:

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8 0
3 years ago
Factorise xsquared+13x+12
tatiyna

Answer:

Ok

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Someone, please help i don't understand this
miv72 [106K]

Answer

62

5.3

65

5.8

2.5

Step-by-step explanation:

FOr the first one we have the opposite and adjacent side, so we'll use TOA

let x= angle

tan(x)=4.7/2.5

x=61.99 or 62

2.) for this one we can just use pathagoryeous thereom

2.5²+4.7²=c²

28.34=c²

c=5.323

3.) For this one we know that the angles in a traingle must add to 180

let x= missing angle

25+90+x=180

x=65

4.) For this one we have the adjacent side but need the hypotonouse

we will therefore use CAH

cos(25)=5.3/x

5.3/(cos(25))=x

x=5.8

5.) For this one we will just use the pathagoryeous to solve for the missing side

a²+5.3²=5.8²

a²=6.107

a=2.5

8 0
3 years ago
What is 3/tan(30°) in radical form? (meant to be a fraction)
Kitty [74]
\bf y=\cfrac{3}{tan(30^o)}\implies y=\cfrac{3}{\frac{sin(30^o)}{cos(30^o)}}\implies y=\cfrac{3}{\frac{\quad \frac{1}{2}\quad}{\frac{\sqrt{3}}{2}} }\implies y=\cfrac{3}{\frac{1}{2}\cdot \frac{2}{\sqrt{3}}}
\\\\\\
y=\cfrac{3}{\quad \frac{1}{\sqrt{3}}\quad }\implies y=\cfrac{3}{1}\cdot \cfrac{\sqrt{3}}{1}\implies y=3\sqrt{3}
8 0
3 years ago
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