MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

Infinitely many solutions. The value of x can be any real number.

Step-by-step explanation:

6 times 1/3x = 2x

6 times 1/2 = 3

6 times (1/3x + 1/2) = 2x+3

The left side of the original equation becomes 2x+3. The right side is also 2x+3. Both sides are the same, so we get infinitely many solutions.

Answer:

We have,

First distribute 6 through parentheses

We can see both sides are equal hence for all x the equation will result with tautology (undeniable equality).

The answer is .

Hope this helps.

COLLEGE

Jeff must do a book report. He reads 3 pages of his book in 13 minutes. He reads 9 pages of his book in 39 minutes. He reads 15 pages of his book and 65 minutes. His book is 351 pages long, how many minutes will it take him to read the entire book? Create a ratio table and explain how you found your answer.

Do you see a pattern in the given information?

3 pages in 13 min

9 pages in 39 min

15 pages in 65 min

the rate of pages per min is constant

3/13 = 9/39 = 15/65

the Question is asking for time.. So the we need the rate as min per page 13/3 so when multiplied by the number of pages it cancels to give minutes.

Units cancel out just like numbers do so you know that the problem is set up correctly.

3 pages in 13 min

9 pages in 39 min

15 pages in 65 min

the rate of pages per min is constant

3/13 = 9/39 = 15/65

the Question is asking for time.. So the we need the rate as min per page 13/3 so when multiplied by the number of pages it cancels to give minutes.

Units cancel out just like numbers do so you know that the problem is set up correctly.

HIGH SCHOOL

PLEASE HELP, I HAVE TO PASS!!!!!! Position Value of Term

1 7

2 10

3 13

4 16

5 19

6 22

Which expression gives the number in the nth position in the sequence?

A) 2n - 2

B) 3n + 4

C) 4n - 1

D) 5n

Answer:

Option B is correct

3n+4[/tex]

Step-by-step explanation:

The nth term for the arithmetic sequence is given by:

....[1]

where,

is the nth position

n is the number of term

is the first term and

d is the common difference.

Given the table:

Position(n) Value of Term()

1 7

2 10

3 13

4 16

5 19

6 22

from the given table:

At n = 1 ,

At n = 2

at n = 3

and so on

Common difference(d) for the sequence is 3

Since,

⇒

Substitute d = 3 and in [1] we have;

⇒

⇒

Therefore, the expression gives the number in the nth position in the sequence is,

3n+4

3(3)+4

9+4

13

is the B).

3(3)+4

9+4

13

is the B).

HIGH SCHOOL

A movie company surveyed 1000 people. Of those surveyed, 229 people said they went to see the new movie on Friday, and 256 people said they went on Saturday. If 24 people saw the movie both nights, what is the probability that a person chosen at random saw the movie on Friday or Saturday? A. 0.413

B. 0.437

C. 0.461

D. 0.486

461 converted into probability =

Answer is C.

Hope this helps. - M

Total ppl went Fri n Sat = 229+256 = 485

but 24 went both nights so need to subtract the double-counting

= 485-24 = 461

that is out of 1000 ppl

so probability = 461/1000 = 0.461

ans is C

but 24 went both nights so need to subtract the double-counting

= 485-24 = 461

that is out of 1000 ppl

so probability = 461/1000 = 0.461

ans is C

MIDDLE SCHOOL

3.1415 is rational or irrational

If it is just the decimal 3.1415 then it is rational. If it is pi it is irrational

3.1415 is rational.

Hope this helps!

Hope this helps!