Tom has been given 35 chores to complete today this morning he finished seven of them how many chores does he have left to do

Use the elimination method to solve this system.

leva [86]

Answer:

The solution for this system is: $x = -1, y = 1$

Step-by-step explanation:

The problem states that we have to solve this system by the elimination method

In the elimination method, we transform the system in such a way that one variable can cancel each other. With this, we find the result of the other variable. Then, we can replace the variable we found in any of the equations, and we have the value of the variable that we had initially canceled.

In this problem, we have the following system:

$1) -6x + 5y = 1$

$2) 6x + 4y = -10$

If we add equations 1) and 2), the variable x is going to be eliminated

$1) + 2)$

$-6x + 6x + 5y + 4y = 1 - 10$

$9y = -9$

$y = \frac{-9}{9}$

$y = -1$

Now, we can replace the value of y in any of the equations, to find x:

I will replace in equation 2)

$6x + 4y = -10$

$6x + 4(-1) = -10$

$6x = -6$

$x = \frac{-6}{6}$

$x = -1$

The solution for this system is: $x = -1, y = 1$

5 0

3 years ago

What is the solution to the system of equations graphed below?

pentagon [3]

Answer:

C. (3,-2)

Step-by-step explanation:

5 0

3 years ago

What is Permutations and Combinations?

marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

$\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }$

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

$\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}$

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

$\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }$

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

$\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}$

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0

2 years ago

A car rental charge is $100 plus $5.00 per mile traveled. Create an equation for the situation above.

Elis [28]

Answer:
X = 100$ + 5a$
Where X is the price of a car rent
And a is the amount of mile travel

3 0

3 years ago

Hurry up someone please

Lostsunrise [7]

Answer:

x = 19.6

Step-by-step explanation:

If we need to find the value of x then first we need to

(7x-25) + (3x +9) = 180 (angles at the same side of transversal will be equal to 180 degree )

10x -16 = 180

10x = 180 +16

10x = 196

x = 196/10

x = 19.6

4 0

3 years ago