All categories

3 years ago

Is 19 a prime number or composite?

Mathematics

2 answers:

Andrew [12]3 years ago

7 0

Answer:

19 is a prime number.

Step-by-step explanation:

"When a number has more than two factors it is called a composite number. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc."

Alexandra [31]3 years ago

5 0

Prime, because the only number that can go into it are 19 and 1

You might be interested in

The area of a rectangle is 980 in squared. the ratio of the length to the width is 5 : 4. find the length and the width.

ella [17]

Answer: The length of the rectangle is 35 in.

The width of the rectangle is 28 in.
_________________________________________________________
Explanation:
_________________________________________________________
The formula for the area, "A", of a rectangle:

Area (A) = length (L) * width (w) ;

that is: " A = L * w " ;

A = 980 in² (given);

ratio of the length to the width is: " 5 : 4 " (given);

→ Find the length (L) and the width (w).
_________________________________________________________

→ 980 in² = (5x) * (4x) ;

in which: " 980 in² " is the area of the triangle;

" 5x" = the length (L) of the rectangle, for which we shall solve;

" 4x" = the width (w) of the rectangle, for which we shall solve.
_______________________________________________________
If we find solve for "x" ; we can solve for "5x" and "4x" (the "length" and the "width", respectively); by plugging in the solved value for "x" ;
_______________________________________________________

→ 980 in² = (5x) * (4x) ;

↔ (5x) * (4x) = 980 in² ;

→ (5x) * (4x) = (5) * (4) * (x) * (x) = 20 * x² = 20x² ;

→ 20x² = 980 ;

Divide each side by "10" ; by canceling out a "0" on each side of the equation:

→ 2x² = 98 ;

Now, divide each side of the equation by "2" ;

→ 2x² / 2 = 98 / 2 ;

to get:

→ x² = 49 ;

Now, take the "positive square root" of each side of the equation; (since a "length or width" cannot be a "negative value") ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ ⁺√(x²) = √49 ;

to get:

→ x = 7 ;
______________________________________________________
Now, we can solve for the "length" and the "width" ;

→ The length is: "5x" ;

5x = 5(7) = " 35 in " ;
______________________________________________________
→ The width is: "4x" ;

4x = 4(7) = "28 in."
______________________________________________________
Let us check our answer:

→ A = L * w ;

→ 980 in² = ? 35 in. * 28 in. ?? ;

Using a calculator: "35 * 28 = 980" . Yes! ;
____________________________________________________
{ Also note: " in * in = in² " ? Yes! } .
____________________________________________________

3 0

3 years ago

If y varies directly as the square root of x and y=12 when x = 16 , find x when y = 15

a_sh-v [17]

= 19 this is the answer I'm guessing since 16-12= 4 so 16 is 4 more than 12

3 0

3 years ago

If you know the rest of the answers pls help me

netineya [11]

Answer:

.45 times 6= 2.7

29 times 8 =232

.62 times 19 = 11.78

8.7 times 12=104.4

11.9 times 4 = 47.6

Step-by-step explanation:

3 0

2 years ago

A set of weights includes a 5 lb barbell and 4 pairs of weight plates. Each pair of

Zina [86]

Answer:

The answer to this question would be B:

Based on the question, since the weight of the weight plates are 20 lbs, this would be represented by the 20x in the function. As well, the 5 lb barbell would be represented by the 5 in the function. The range of the function is determined by the amount of weight plates are added. So if I added one weight plate the equation would equal, f(x) = 20(1) + 5 = 25. This continues on the more and more weight plates you add.

Hope this reached you well :)

Step-by-step explanation:

20 = weight of the weight plates

x = amount of weight plates.

5 = weight of the barbell

f(x) = 20(0) + 5 = 5

f(x) = 20(1) + 5 = 25

f(x) = 20(2) + 5 = 45

f(x) = 20(3) + 5 = 65

f(x) = 20(4) + 5 = 85

5 0

3 years ago

What is the volume of a pyramid with slant height 25 feet and square base with edges of 14 feet?

kolezko [41]

Check the picture below.

$\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh\qquad 
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\
------\\
B=\stackrel{14\times 14}{196}\\
h=24
\end{cases}\implies V=\cfrac{1}{3}(196)(24)$

4 0

3 years ago

Read 2 more answers