brady joined the band.In group 1 there are a total of 44 students.There are 8 students who play the oboe.There are 1 over 2 as many students playing the clarinet as the flute.How many students from group 1 play each instrument
Answers
b + c + f = 44
We know that there are 8 oboe players, so:
8 + c + f = 44
Subtract 8 from both sides
c + f = 36
There are half(1/2) as many people playing the clarinet as the flute. so however many people play the flute, there are half that number playing clarinet. We can say that the number of clarinet players = 1/2 * the number of flute players.
c = 1/2 * f
Plug 1/2 * f into the previous equation for c...
c + f = 36
1/2 * f + f = 36
Divide all the terms by 1/2, a.k.a. multiply by 2
f + 2f = 72
3f = 72
f = 24
So, there are 24 flute players. Plug that number back into one of our old equations:
c + f = 36
c + 24 = 36
c = 12
There are 8 oboe players, 12 clarinet players, and 24 flute players.
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Language arts 78.5 60 14.2
Social studies 68.7 65 9.8
She claims that because the mean number of words on each page of the language arts book is greater than the mean number of words on each page of the social studies book, the language arts book has more words per page. Based on the data, is this a valid inference?
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Answers
Answer:
No, because there is a lot of variability in the language arts book data
Step-by-step explanation:
Answers
Answer:
24.04
Step-by-step explanation: Because 1 is not a decimal, it goes on the left side of 23.04. So 23 + 1 is 24. So 24.04
23.04
+ 1.00
-------------
24.04
1. 143.11
+ 23.04
----------------- add each number together example 4 +1 = 5, 0 +1 = 1
166.15
2. 24.6
- 17. 2
------------ subtract each numbers together 6-2 = 4 and 24-17 is 7
7.4
3. 708.00 subtract the numbers together
- 22. 08
------------------
685.92
Answers
OK. These problems are easy if you know the quadratic formula,
and they're impossible if you don't.
Here's the quadratic formula:
When the equation is in the form of Ax² + Bx + C = 0
then x = [ -B plus or minus √(B²-4AC) ] / 2A
I'm sure that formula is in your text or your study notes,
right before these questions. You should cut it out or
copy it, and tape it inside the cover of your notebook.
Then, you'll always have it when you need it, until
you have it memorized and can rattle it off.
The first question says 3x² + 5x + 2 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes ! A=3 B=5 C=2
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
= [ -5 plus or minus √(5² - 4·3·2) ] / 2·3
= [ -5 plus or minus √(25 - 24) ] / 6
= [ -5 plus or minus √1 ] / 6
x = -4 / 6 = -2/3
and
x = -6 / 6 = -1 .
_______________________________________
The second question says
4x² + 5x - 1 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes it is ! A=4 B=5 C= -1
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
Now, you take it from here.
Help me solve?
Answers
+3 +3
8y = 6y + 20
-6y - 6y
2y = 20
/2 /2
y = 10
Answers
Here are some I made up:
and
When substituting your ordered pair into this, it will be correct.
Hope this helped!
~Cam943, Moderator