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3 years ago

The sum of n and the product 3 times n = 12. What is n? (Show your equation and at

Mathematics

1 answer:

aleksley [76]3 years ago

5 0

N = 3

Step-by-step explanation: If you do the equation it comes out to n=4

n+3n=12

4n=12

n=3

You have to add the like terms then divide it so the variable is by itself. And whatever you do to one side, you have to do to the other

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Paulo's economics course requires two papers ? ?one long and one short ? ?throughout the semester. The number of pages, l l, in

mixer [17]

Answer:

27 pages.

Step-by-step explanation:

Let l be the number of pages in the long paper and s be the number of pages in the short paper.

We have been given that the total number of pages for both papers is 40. We can represent this information in an equation as:

$l+s=40...(1)$

We are also told that the number of pages in the long paper is one more than two times the number of pages in the short paper. We can represent this information in an equation as:

$l=2s+1...(2)$

We will use substitution method to solve system of linear equations.

From equation (1) we will get,

$s=40-l$

Upon substituting this value in equation (2) we will get,

$l=2(40-l)+1$

$l=80-2l+1$

Upon adding 2l to both sides of our equation we will get,

$l+2l=80-2l+2l+1$

$l+2l=80+1$

$3l=81$

Let us divide both sides of our equation by 3 we will get,

$\frac{3l}{3}=\frac{81}{3}$

$l=27$

Therefore, there must be 27 pages in the long paper.

8 0

3 years ago

We have a box with eight green marbles, five red marbles, and seven blue marbles. We choose three marbles from the box at random

Salsk061 [2.6K]

Answer: 0.089

Step-by-step explanation:

Number of combinations of n things taking r at a time :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Given : A box has eight green marbles, five red marbles, and seven blue marbles.

Total marbles = 5+8+7=20

We choose three marbles from the box at random without looking.

Number of ways to choose 3 marbles with same color :-

$^8C_3+\ ^5C_3+ ^7C_3\\\\=\dfrac{8!}{3!(8-3)!}+\dfrac{5!}{3!(5-3)!}+\dfrac{7!}{3!(7-3)!}\\\\=56+10+35=101$ (1)

Total ways to select 3 marbles from 20 marbles :-

$\dfrac{20!}{3!(20-3)!}=1140$ (2)

Now, the required probability (divide (1) by (2)):-

$\dfrac{101}{1140}=0.0885964912281\approx0.089$

Hence, the required probability : 0.089

7 0

3 years ago

For each example below, determine whether a positive, negative, or no cause and effect relationship exists.

antoniya [11.8K]

#1 - Positive,
#2 - No relationship.
#3 - Negative

3 0

3 years ago

Read 2 more answers

Which values of x would make a polynomial equal to zero if the factors of the

svp [43]

Answer:

x = 3 and x = 7

Step-by-step explanation:

Equate the product of the factors to zero, that is

(x - 3)(x - 7) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 7 = 0 ⇒ x = 7

5 0

4 years ago

Evaluating express<br> 6<br> Evaluate 13 + - when y = 6.<br> y

Step2247 [10]

Step-by-step explanation:

how i think this question is

13+ -y

y=6

= 13 + -6

therefore the answer is 7

7 0

3 years ago