There are 600 students including the seventh and eighth graders at the party.
This problem uses the concept of percentages to define the conditions that are laid in front of us.
Let the original number of students be S , and the number of seventh graders be = 0.60S
We know that percent is used to convey the mathematical term of a fraction multiplied by 100.
Total students after 20 eighth graders arrive = S + 20
And we have that
Number of seventh graders / total number of students = 58%
.60S / [ S + 20 ] = .58 we multiply both sides by S + 20
0.60S =0 .58 [ S + 20]
.60S = .58S + 11.6 we subtract 0.58S from both the sides
0.02S = 11.6 we divide both the sides by .02
S = 11/6 / 0.02 = 580
So the total number of students = 580 + 20 = 600 .
Hence there are 600 students at the party at that time.
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Answer:
20a. y = 8.75x - 5.99
20b. slop is the cost of each shirt.
20c. I am not to sure on this one so I am going to guess that it means payment to enter the shop.
Step-by-step explanation:
Answer:
13/4
Step-by-step explanation:
Convert these numbers to a mixed fraction.
-5 3/4 => -23/4
-2 1/2 => -5/2
Make them have a common denominator
-5/2 => -10/4
-23/4 can stay the same.
To find the distance between the two numbers, subtract the lesser value from the greater value.
-23/4 is <u>less</u> than -10/4.
(-10 - (-23)) /4
= 13/4
Therefore the distance between -2 1/2 and -5 3/4 on a number line is 13/4.
Answer:

Step-by-step explanation:
Let be
, this expression is simplified by algebraic and trascendental means. As first step, the second order polynomial is simplified. Its roots are determined by the Quadratic Formula, that is to say:


The polynomial in factorized form is:

The function can be rewritten and simplified as follows:
![f(x,y) = \log_{4} [(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})]](https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%20%5Clog_%7B4%7D%20%5B%28x-5-%5Csqrt%7B25-6%5Ccdot%20y%7D%29%5Ccdot%20%28x-5%2B%5Csqrt%7B25-6%5Ccdot%20y%7D%29%5D)

OK so if they ring at 6AM together then they would ring like this from now on:
ANSWER: they ring together next at 9:20
Bell 1: 6:25 Bell 2: 6:40
Bell 1: 6:50 Bell 2: 7:20
Bell 1: 7:15 Bell 2: 8:00
Bell 1: 7:40 Bell 2: 8:40
Bell 1: 8:05 Bell 2: 9:20
Bell 1: 8:30 Bell 2: 10:00
Bell 1: 8:55 Bell 2: 10:40
Bell 1: 9:20 Bell 2: 11:20