All categories

4 years ago

Which pair is made up of prime numbers 11 & 33 , 42 & 56 , 37 & 67, 57 & 97

Mathematics

1 answer:

Cerrena [4.2K]4 years ago

3 0

Answer:

37 & 67

Step-by-step explanation:

11 & 33

11 - 1, 11

11 is prime

33 - 1, 3, 11, 33

33 is composite number

11 & 33 is incorrect

42 & 56

42 - 1, 2, 3, 6, 7, 14, 21, 42
56 - 1, 2, 4, 7, 8, 14, 28, 56
Both 42 and 56 are composite numbers
42 & 56 is incorrect

37 & 67

37 - 1, 37
67 - 1, 67
Both 37 and 67 are prime numbers
37 & 56 is correct

57 & 97

57 - 1, 3, 19, 57
97 - 1, 97
57 is a composite number, 97 is a prime number
57 & 97 is incorrect

You might be interested in

Compute each sum below. If applicable, write your answer as a fraction.

Alex777 [14]

Answer:

First equation is -425

Second equation is 11.25

Step-by-step explanation:

First equation we can write as

$\sum_{i=0}^7 5 \times (-2)^i$

computing

When i=0 -> $5 \times (-2)^0 =5$

When i=1 -> $5 \times (-2)^1 = -10$

...

When i=7 -> $5 \times (-2)^7 = --640$

then replacing each term we have

$5 + (-10) + ( 20) + ( -40) + (80) +( -160) + 320 + (-640) = -425$

For the second equation we'll have 9 terms, solving in a similar fashion

When i=1 -> $\frac{1}{4}1=0.25$

When i=2 -> $\frac{1}{4}2=0.50$

When i=3 -> $\frac{1}{4}3=0.75$

...

When i=9 -> $\frac{1}{4}9=2.25$

So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25

4 0

3 years ago

Draw the line through the point (4,5) that is parallel to the y-axis. Write the equation of this line and state its slope

ollegr [7]

Parallel to the y axis...that would mean that it is a vertical line.
The equation would be : x = 4 and it would have an undefined slope

7 0

3 years ago

Show BOTH distribution and FOIL to find the product of LaTeX: (3x - 2) and (2x + 6). also explain

Goryan [66]

Answer:

(3x-2)=1x (2x+6)=8x

Step-by-step explanation:

6 0

3 years ago

Danielle needs to sell candy bars for a club fundraiser. She starts with 72 candy bars and begins selling at a constant rate of

DiKsa [7]

Alright I literally just took the test so anyways start at 0 go UP until you hit 72 and that is one point the second point is start from 0 and go to the RIGHT all the way until you hit 9
Sorry for the late answer

5 0

3 years ago

The area of Europe is approximately 9.94 × 106 square kilometers. Its population is approximately 7.31 × 108 people. What is the

Kipish [7]

The population density is 73.54 people per square kilometer

Solution:

Given that,

Area of europe = $9.94 \times 10^6$ square kilometers

Population = $7.31 \times 10^8$

To find: population density

The formula for population density is given as:

$\text{ population density } = \frac{\text{ number of people }}{\text{ land area }}$

Substituting the values in formula, we get

$\text{Population density } = \frac{7.31 \times 10^8}{9.94 \times 10^6}\\\\\text{ use the law of exponent } \frac{a^m}{a^n} = a^{m-n}\\\\\text{Population density } = 0.7354 \times 10^{8-6}\\\\\text{Population density } = 0.7354 \times 10^2\\\\\text{Population density } = 73.541$

On rounding to nearest hundreth (two decimal places ), we get 73.54

Thus the population density is 73.54 people per square kilometer

3 0

3 years ago