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stellarik [79]
3 years ago
13

5(2x - 8) + 15 = -15 the steps to solve the equation and explain each step.

Mathematics
2 answers:
Deffense [45]3 years ago
7 0
Ok so you have to do distributive property which will give you 10x-40+15=-15
Then the next step you have to do is minus 15 from each side so you get 10x-40=0 then you add the 40 to the other side so you get 10x=40 then you move the ton to the other side but when you do that you will wright it under the 40 so then you will have 40/10 and that will give you x=4

I hope this helps you
Serhud [2]3 years ago
5 0
5(2x-8)+15=-15
First do what is in parenthesis!
You have to multiply "2x and 8 both by 5 because it says 5 of 2x-8's
Then you get:
10x-16+15=-15
Now let's solve -16+15
We then get -1. 
10x-1=-15
We need to isolate x to one side so in order to do that we need to add one to both sides, because -1+1 equals 0.
Then we have 
10x=-14
Now we really want x to be the only thing on the left side, so we HAVE to divide everything by 10 on both sides.
x=-1.4
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How many ways can first, second, and third place be awarded in a race of 20 people?
Volgvan
That would be 20 x 19 x 18 which equals 6840. 
After first place is chosen, 19 spots left and so on.
The answer is 6840 ways.
3 0
3 years ago
Given the sequence 8, 12, 16, 20, 24, what is the sum of the 31st and 19th terms?
erica [24]

Answer:

First term (a) =8

Common difference (d)= t2-t1

=12-8

=4

Now, sum of first 31th term (tn31) =n/2{2a+(n-1)d}

= 31/2{2×8+(31-1)4}

=31/2{16+(30×4)

=31/2(16+120)

=31/2×126

=31×63

Step-by-step explanation:

Similarly use 19 as (n) for the 19th term

7 0
2 years ago
Which statements about this system of equations are true? Check all that apply. - x + 6y = 16 8x - 6y = -2 The x-variable will b
frutty [35]

Answer:

The true statements are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations is

Step-by-step explanation:

* Lets explain how to solve the problem

- We use the elimination method to solve the system of the

  linear equation

- The solution is one of three cases

# Exactly one solution ⇒ the 2 lines which represented the equations

  intersect each other at one point

# No solution ⇒ the 2 lines which represented the equations are

  parallel to each other

# Infinite solutions ⇒ the two lines are coincide

- In the system of the linear equations of the problem we have two

 linear equations  -x + 6y = 16 and 8x - 6y = -2

- To solve we must to eliminate one of the two variables

∵ The y's in the two equations have the same coefficients and

   different signs

∴ We add the equations to eliminate y

∴ (-x + 8x) + (6y - 6y) = 16 + -2

∴ 7x = 14 ⇒ divide both sides by 7

∴ x = 2

- Substitute the x in any one of the two equations by 2

∴ -2 + 6y = 16 ⇒ add 2 to both sides

∴ 6y = 18 ⇒ divide both sides by 6

∴ y = 3

∴ The solution of the system of the equations is (2 , 3) ⇒ only one

   solution

- Lets check the statements to find the true statements

# The x-variable will be eliminated when adding the system of

   equations is not true

# The y-variable will be eliminated when adding the system of

   equations is true

# The sum of the system of equations is - x + 6y is not true

# There is only one solution to the system of equations is true

6 0
3 years ago
Read 2 more answers
This Question is about Animals. I am no vegan, but why is it ok to eat certain animals such as fish and rabbit but not ok to eat
Zigmanuir [339]

Answer:

    From what I looked up on Google vegans don't eat fish, maybe some do but vegetarians do still eat fish. The reason why is because their are many types of health benefits that come with eating fish. "Seafood is a healthy source of protein, is full of heart healthy fats and contains iron and a host of vitamins like B-12" (Honeyager).

  I also feel like they ignore the fact that there food was a real animal cause some of society does not want to look at the thing there eating as a once alive animal cause I feel like they know how badly some animals are taken care of through there life time then kill through half of it. And yes I know that other livestock are taken well care of and given a good life before there death.  And most feel it's not okay to eat dogs is because most people actually live around them and know how sweet and kind they are and how they are pets for most. I also feel if it were cows (or some farm animal) instead, like people kept them as pets(just an example) then they would see the personality of a cow and I  guess they would feel more pity for them and not kill them. I hope you understand it's hard to explain my thinking pattern. IDK but this whole question and answer is just  based on peoples emotions whether they are saddened by it, say they don't care, or others who want to make a difference it's all built around peoples emotions and everyone's different and they have different emotions

The first paragraph I researched and the second is not fact at all, it just the true on how I feel. (It probably made no sense to you) Sorry for the 2 page essay!

3 0
3 years ago
Find the value of r so the line that passes through the pair of points has the given slope.
SOVA2 [1]

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

x_1=12, y_1=10\\x_2=-2, y_2=r

Putting the values in slope of line formula,

-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\

Multiplying both sides by -14

-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66

The value of r is 66

Hence,

The missing value in the ordered pair is 66

4 0
3 years ago
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