Answer:
7
Step-by-step explanation:
First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3
Which gives you 2/3 (9x - 6)
Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3
then you divide 6/3 with 2
Getting 2 (3x - 2)
The use the distributive law
2 x 3x - 2 x 2
simplify the equation
6x - 4
expand 4 (x +2) + 2: 4x + 10
which then equals 6x-4=4x+10
add 4 to both sides
6x-4+4=4x+10+4
simplify
6x=4x+14
subtract 4x from both sides
simplify again
2x=14
divide both sides by 2
2x/2 = 14/2
simplify one last time and get the answer
x=7
Remark
I'm going to state what I think the question is saying. I'm having a little trouble figuring it out.
1. Both groups are from 1967.
2. Both groups are women?
It's actually clear, but I had to restate it to get it clear for me.
Solution
<em><u>Givens</u></em>
College: Women= 4400
H.School: Women = 3300
Solve
The base number is the high school women.
The difference is 4400 - 3300 = 1100
So the % = (1100/3300) * 100% = 33.3%
1973
I did this in the wrong order, but it will still give you the right answer.
The base number is again high school: 5600
Difference: 6600 - 5600 = 1000
% = (1000/5600) * 100% = 17.9
Comment
What this means is that if you take the % difference and multiply it by the smaller number you get the actual difference between the 2 groups. Put another way, for the 1973 group, the college women made 17.9 % more than the high school group. As an aside, there are lots of reasons for this and I'm not certain it is any longer true.
The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) in our case:
s(n)=3(1-4^n)/(1-4)
s(n)=-(1-4^n)
s(n)=(4^n)-1 and s=1023
(4^n)-1=1023
4^n=1024
n ln4=ln1024
n=(ln1024)/(ln4)
n=5
1) set up a problem
you know you want to get an avg of 94 but how do you do avg in the first place. you add up the numbers then divde by the total number of numbers used lol
so

92.5 is the avg number for the last 3 tests
"x" is the 4th test score which we want to find out
"2" is the total number of numbers being added together
so now lets get x to one side
92.5+ x=94*2 (multiply 2 to both sides)
92.5+x=188
x=188-92.5 (subtract 92.5 from both sides)
x= 95.5 this is the score she need to make to avg 94%
2) you can draw a tree diagram. for example Flower1 branches off into 3 diff greens and then each of those greens branch off into 2 for with or with babies breath.
or you can simple multiply 4*3*2. you can do this because all choices are included with no restriction
your total number of options is 24
Answer:
on Tuesday, her account balance being less than -$24 means her debt will be bigger than $24 dollars.
Step-by-step explanation:
- On Monday, allie's bank account balance was -$24.
- Balance being negative means he is carrying a debt of $24.
- Of course it must have happened when she must not have enough money in his bank account to meet expenses and transactions.
On Tuesday, Allie's balance account was less than it was on Monday. It means
- Her bank account < -$24
- So, she must be carrying a debit bigger than $24.
Therefore, on Tuesday, her account balance being less than -$24 means her debt will be bigger than $24 dollars.
Keywords: account balance, absolute value
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