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Marat540 [252]
4 years ago
15

If x is a prime number then x+1 is not a prime number

Mathematics
2 answers:
s2008m [1.1K]4 years ago
8 0
1 come on that's seems like it but it could be three too
MissTica4 years ago
5 0
0 1 or 2 are all counter examples
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Choose the correct simplification of the expression (2x2y6z5)(5x4y5z3).
erastovalidia [21]

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

(2x^2y^6z^5)(5x^4y^5z^3)

Simplify the given expression.

(2x^2y^6z^5)\times (5x^4y^5z^3)

(2\times 5)(x^2x^4)(y^6y^5)(z^5z^3)

10x^{2+4}y^{6+5}z^{5+3}                  [\because x^mx^n=x^{m+n}]

10x^6y^{11}z^8

Therefore correct option is 4.

8 0
3 years ago
The mean radius of Earth is 6,371.0 kilometres and the mean radius of Earth’s Moon is 1,737.5 kilometres.
OLEGan [10]

Answer: 29,113.2 km

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Circumference = 2 x π x radius

Replacing with the values given:

Earth's mean circumference = 2 π 6,371.0 = 40,030.2 km

Earth's moon mean circumference = 2 π 1,737,5= 10,917 km

Now, we have to subtract Earth's moon mean circumference to Earth's mean circumference:

40,030.2- 10,917 =29,113.2 km

Feel free to ask for more if needed or if you did not understand something.  

3 0
3 years ago
The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0
3 years ago
What is the GCF of 96x5 and 64x2?
Lady_Fox [76]

Answer:

32

Step-by-step explanation:

32 is the GCF of the whole numbers and up to x2 can go into both  

The answer should be 32x2

Hope this helps

4 0
3 years ago
Read 2 more answers
There were 75 roasted turkeys at Ally's Eats. Bob's Goods had 4/5 as many roasted turkeys as Ally's Eats. If Ally's Eats had 5/6
Vilka [71]

Answer:

Step-by-step explanation:

Roasted turkey in Ally's Eats = 75

Roasted turkey in Bob's goods  = 4 / 5 x  Ally's Eats

= (4 / 5) x 75

= 60

Roasted turkey in Charlotte's Market = N ( let )

Given

5/6  N  = 75

N = 6 / 5 x 75

= 90

Roasted turkey in Charlotte's Market  = 90 .

8 0
4 years ago
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