What is the equation for a line with a slope of 5 and a y-intercept of 11?

Which pair of numbers are relatively prime

vredina [299]

77 and 791 are both relatively prime numbers

6 0

3 years ago

Theresa has $12 in nickels and quarters. If she has the same number of each kind of coin, how many nickels and quarters does she

postnew [5]

Answer: She has 40 nickels and 40 quarters .

Step-by-step explanation:

Let be "n" the number of nickels Theresa has and "q" the number of quarters Theresa has.

You know that she has a total of $12 in nickels and quarters. In cents, this is:

$\$12*100=1,200\ cents$

Then, based on this you can write the following expression:

$5n+25q=1,200$

Since $n=q$ , you can rewrite it as:

$5n+25n=1,200$

Solving for "n", you get:

$30n=1,200\\\\n=\frac{1,200}{30}\\\\n=40$

Therefore she has 40 nickels and 40 quarters .

7 0

3 years ago

Let A be the set of all lines in the plane. Define a relation R on A as follows. For every l1 and l2 in A, l1 R l2 ⇔ l1 is paral

Lyrx [107]

Answer:

Hence, the relation R is a reflexive, symmetric and transitive relation.

Given :

A be the set of all lines in the plane and R is a relation on set A.

$R=\{l_1,l_2\in A|l_1 \;\text{is parallel to}\; l_2\}$

To find :

Which type of relation R on set A.

Explanation :

A relation R on a set A is called reflexive relation if every $a\in A$ then $(a,a)\in R$ .

So, the relation R is a reflexive relation because a line always parallels to itself.

A relation R on a set A is called Symmetric relation if $(a,b)\in R$ then $(b,a)\in R$ for all $a,b\in A$ .

So, the relation R is a symmetric relation because if a line $l_1$ is parallel to the line $l_2$ the always the line $l_2$ is parallel to the line $l_1$ .

A relation R on a set A is called transitive relation if $(a,b)\in R$ and $(b,c)\in R$ then $(a,c)\in R$ for all $a,b,c\in A$ .

So, the relation R is a transitive relation because if a line $l_1$ s parallel to the line $l_2$ and the line $l_2$ is parallel to the line $l_3$ then the always line $l_1$ is parallel to the line $l_3$ .