1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
denpristay [2]
3 years ago
6

If x is a prime number, what is the value of x? (1) 2 x + 2 is the cube of a positive integer. (2) The average of any x consecut

ive integers is an integer.
Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer: what is the value of x? The answer is 3.

Step-by-step explanation:

2x + 2 = y^3 where y is a positive integer. One possible answer for this is 3, because 2*3 + 2 is 8, that is 2^3, so 2 * 2 * 2 = 8. Also the second restrictions says that x consecutive numbers added and then divided by x will give an integer. So 2 + 3 + 4 = 9 and 9/3 = 3, that is an integer, and we have 3 consecutive numbers, therefore the answer is 3, as 3 is prime as well.

You might be interested in
In the figure, lines a, b, and c are parallel and m24 = 48
Debora [2.8K]

Answer:

m<1 = 48°

m<2 = 132°

m<3 = 132°

m<5 = 48°

Step-by-step explanation:

Given:

m<4 = 48°

Required:

m<1, m<2, m<3, and m<5

Solution:

m<1 = m<4 (alternate exterior angles are congruent)

m<1 = 48° (substitution)

m<2 = 180° - (m<1) (linear pair theorem)

m<2 = 180° - 48° (substitution)

m<2 = 132°

m<3 = m<2 (alternate interior angles are congruent)

m<3 = 132° (substitution)

m<5 = m<4 (corresponding angles are congruent)

m<5 = 48° (substitution)

8 0
3 years ago
What is 2 7/10+4 1/10 in simplest form
WITCHER [35]

Answer:

6\frac{4}{5}

Step-by-step explanation:

2\frac{7}{10} + 4\frac{1}{10} = ( 2 + 4 ) + ( \frac{7}{10} + \frac{1}{10} ) = 6 \frac{7+1}{10} = 6 \frac{8}{10} = 6\frac{4}{5}

3 0
3 years ago
A person bikes 2
Lerok [7]

Answer:

The person bikes 20 miles in an hour

Step-by-step explanation:

5 0
2 years ago
i need to know the answer to this please ive been trying to figure it out forever now and i dont know what to do
bixtya [17]
The to this question is that it is a function
6 0
3 years ago
Find value of y<br> Thank you in advance
vivado [14]
Y = 102. It's a shape with four sides, so when all the agles are combined they make 360 degrees. I combined the three known angles and subtracted that amount from 360 to get the value of y.  
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the correlation coefficient for the data in the table
    13·1 answer
  • A right triangle has a hypotenuse of 155 centimeters and a leg of 124 centimeters. Which of these is the length of the other leg
    11·1 answer
  • The sum of two numbers is 27. The difference is 13. Find the numbers.
    6·1 answer
  • Please help....And please show steps..
    10·1 answer
  • On a bicycle trail, the city is painting arrows like the one shown below:
    12·1 answer
  • There are all of the points I have
    6·1 answer
  • Write the equation of the line through the points (4,5) and (12,9)
    15·2 answers
  • Line segment AB is on the coordinate plane and has endpoints at A(-5,3) and B(1,8). What is the length of the line segment to th
    5·2 answers
  • PLEASE HELP (LOOK AT THE PICTURE) Write an equation for the given graph.
    13·1 answer
  • Let U={1,2,3,4,5,6,7,8}A={2,3,6}B={2,4,5,7}C={1,7,8}Find the following use the roster method to write method to write the set. E
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!