Answer:
y = -3
Step-by-step explanation:
9x + 7y = -12
Let x = 1
9 (1) + 7y = -12
9 + 7y = -12
Subtract 9 from each side
9 -9 + 7y = -12-9
7y = -21
Divide each side by 7
7y/7 = -21/7
y = -3
Answer:
y = -3
Step-by-step explanation:
9x + 7y = -12
9(1) + 7y = -12
9 + 7y = -12
7y = -12 - 9
7y = -21 (divide both sides by 7)
y = -3
Answer:
Step-by-step explanation:
- Protons are positively charged particles contained in the nucleus of the atom. They have a charge of
- Electrons are negatively charged particles orbiting around the nucleus of the atom. They have a charge of
For a neutral atom, the number of protons is equal to the number of electrons, so the total charge of a neutral atom is:
In this problem, we have an atom having an excess of 2 electrons, i.e. it has 2 more electrons than protons.
Therefore, the charge of this atom will be:
and substittuing, we find
Answer:
***********o o**************
<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->
x>4 or x<-4
Step-by-step explanation:
You are looking for numbers that give you a distance, x, greater than 4 from 0. That wouldn't be anything between -4 and 4 because these would all give you a distance less than 4 from 0. So the answer would be to shade everything greater than 4 while also shading everything less than -4.
Here is a number line <-----|-----|-----|-----|-----|-----|-----|-----|-->
-6 -4 -2 0 2 4 6 8
Let's think about this more which of these numbers on this number line would satisfy |x|>4?
Numbers inside the numbers -4 and 4.
Or the numbers on the outside.
Let's try the inside numbers:
-2,02
|-2|>4
2>4 is false which means -2 doesn't satisfy |x|>4
|0|>4
0>4 is false which means 0 doesn't satisfy |x|>4
|2|>4
2>4 is false which means 2 doesn't satisfy |x|>4
We could also try -4 and 4... but these will both give you a distance equal to 4 from 0. And we are looking for greater than.
|-4|>4
4>4 is false which mean -4 doesn't satisfy |x|>4
|4|>4
4>4 is false which means 4 doesn't satisfy |x|>4
Now let's try the numbers on the outside:
-6,6,8
|-6|>4
6>4 is true so -6 does satisfy |x|>4
|6|>4
6>4 is true so 6 does satisfy |x|>4
|8|>4
8>4 is true so 8 does satisfy |x|>4
So what I'm trying to do is convince you more that the only numbers that would satisfy |x|>4 are numbers outside the interval from -4 to 4.
So x>4 or x<-4.
On a number line the solution would look like this:
***********o o**************
<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->
We have holes at -4 and 4 to mean we do not include those numbers. We would have if the inequality read . The line underneath this inequality means to include or equals. We do not want to include; we did not have the equal sign. The only difference between the two solutions would be to fill the holes if you .
***********o o**************
<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->
240 π in3
120 π in3
80 π in3
720 π in3
b. Amanda takes out 50% of the nickels in the jar on Friday and adds a number of nickels that is equal to 30% of the original number of nickels in the jar on Monday. There are 20% fewer nickels in the jar after Monday than before Friday.
c. Amanda adds 50% of the original number of nickels to the jar on Friday. The number of nickels Amanda takes out on Monday is equal to 30% of the new number of nickels. There are 20% more nickels in the jar after Monday than before Friday.
d. Amanda adds 50% of the original number of nickels to the jar on Friday. The number of nickels Amanda takes out on Monday is equal to 30% of the original number of nickels. There are 20% more nickels in the jar after Monday than before Friday.