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Tresset [83]
2 years ago
13

Need help solving this

Mathematics
1 answer:
Airida [17]2 years ago
4 0

There would be 101.33 students the following year

<h3>Ratios </h3>

From the question, we are to determine the number of students for the following year

From the given information,

There are 3 PA's for 38 students

If the ratio stays the same and

There were 8 PA's the following year, the number of students would be x

x = (8 × 38) / 3

x = 304 / 3

x = 101.33 students

Hence, there would be 101.33 students the following year

Learn more on Ratios here: brainly.com/question/2914376

#SPJ1

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Suppose you draw a card from a well shuffled deck of playing cards what is probability of drawing a ace
Tasya [4]
So there are a totally of 52 cards right?(not counting jokers because jokers are not in official cards)
And there are 4 aces right?
So there are 52 outcomes and 4 of them are aces.
So when we write probabilities we write it in fraction form where the total number of outcomes is the denominator and the ones you want to get are the numerator OK?
So the total number is outcomes is 52 and becomes the denominator and 4 the number of aces become the numerator.
So 4/52 right?
And we now have to simplify it right?
And so we divide by the highest common factor right?
In this case 4 because there isn’t other numbers that are factors and greater than 4.
So 4 divided by 4/52 is 1/13 right?
4 goes into 4 1 time and 13 times into 52.
So your answer is 1/13
3 0
3 years ago
Brandon answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answe
mamaluj [8]

Answer:

.84

Step-by-step explanation:

21/25 = .84

3 0
2 years ago
Which numbers are "rational" and which numbers are "irrational"?
taurus [48]

the 3rd one. hope this helps

7 0
2 years ago
Read 2 more answers
Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li
krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years

First, let us calculate the decay constant (k)

75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036

Next, let us calculate the half-life as follows:

\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2}  \approx 669\ years

Therefore the half-life is between 600 and 700 years

5 0
3 years ago
Urgent please help..
nlexa [21]
8.60 cm is the answer to your question and i used calculator.net for help
5 0
3 years ago
Read 2 more answers
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