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Verizon [17]
3 years ago
5

Paul coughs every 8 seconds, Karen coughs every 10. If they both cough at the same time, in how many seconds will they both coug

h together in?
Mathematics
2 answers:
ICE Princess25 [194]3 years ago
7 0
8|2
4|2
2|2
1

10|2
 5|5
 1

2^3\cdot5=40

40 seconds
Gekata [30.6K]3 years ago
7 0
This is also called the LCM or the Least Common Multiple! To find it you have to factor out both numbers:

      8=2*2*2
    10=2       *5   and I made space on purpose because there are no 5's in #8
LCM=2*2*2*5=40 seconds
Looking down from 8 to 10 you see that under first number 2 there is another 2, but under second, and third number 2 there is no other 2's. The first one is going to be written only once even though there are two of them and I even put it in bold so you would notice what I'm talking about.

Hope this helps and if you have any questions let me know!
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Recall that m(t) = (1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500g sample of phosphorus-32 decays
katrin2010 [14]

The question is incomplete, here is the complete question:

Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.

<u>Answer:</u> The half life of the sample of phosphorus-32 is 14.28days^{-1}

<u>Step-by-step explanation:</u>

The equation used to calculate the half life of the sample is given as:

m(t)=m_o(1/2)^{t/h}

where,

m(t) =  amount of sample after time 't' = 356 g

m_o = initial amount of the sample = 500 g

t = time period = 7 days

h = half life of the sample = ?

Putting values in above equation, we get:

356=500\times (\frac{1}{2})^{7/h}\\\\h=14.28days^{-1}

Hence, the half life of the sample of phosphorus-32 is 14.28days^{-1}

7 0
4 years ago
13 points so please help meee with a and b!
yawa3891 [41]

Answer:

(a)

$24.10,

$18.20,

$15.25,

$9.35,

$0.50,

(b)

b=30-2.95g

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone please help me? if you can explain please...
weqwewe [10]
C= pi•diameter. If the dinner plate's diameter is 7 inches, then multiply 7 times pi, 3.14. 7•3.14= 21.98. So, the answer for the first question is B, 22. :) 

For the second question, it is asking for the answer in terms of pi. Since the diameter is 6, divide 6 by 2 to get the radius. (A=pi•radius squared) 6 divided by 2 is 3. Now, square 3. which gives you 9. Since the answer has to be in terms of pi, the answer is B. ;) 
7 0
4 years ago
Read 2 more answers
What is the area of this
larisa86 [58]
Area of a triangle is base x height divide by 2
26x9=234
234 divide by 2 is 117
5 0
3 years ago
This expression represents the average cost per game, in dollars, at a bowling alley, where n represents the number of games:
Dmitry_Shevchenko [17]

Answer:

Average Cost per game for 4 games is:

A) $4.75

Step-by-step explanation:

As the question is not complete, lets complete it first.

At the bowling Alley, shoe rentals cost $3 while a games costs $3. The expression that represents the average costs per game 'c' , in dollars, where n is the number of games, is:

c=\frac{4n+3}{n}

To find average cost per game, for 4 games, simpli substitute n=4 into the given equation:

c=\frac{4n+3}{n}\\c=\frac{4(4)+3}{4}\\c=\frac{16+3}{4}\\c = \frac{19}{4}\\c= 4.75

So Average Cost per game for 4 games is:

c = 4.75$

5 0
3 years ago
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