1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Debora [2.8K]
4 years ago
11

Which statement answers this question: Casey sells half of his video games. The next day he buys 3 more. He now has 27. How many

video games did Casey have at the beginning? options: ( A.) Casey had 24 video games. ( B). Casey had 15 video games. ( C). Casey had 12 video games ( D.) Casey had 48 video games.
Mathematics
1 answer:
Usimov [2.4K]4 years ago
3 0

Answer:

D

Step-by-step explanation:

Casey has some number of video games at the beginning called x. He sells half which is 1/2 x. Then he buys 3 more so 1/2 x + 3. This is equal to his current amount which is 27. So 1/2 x + 3 = 27. Solve for x.

1/2 x + 3 = 27

1/2 x =24

x = 48

You might be interested in
The sugar content of the syrup is canned peaches is normally distributed. Assumethe can is designed to have standard deviation 5
andreyandreev [35.5K]

Answer: 0.50477

Step-by-step explanation:

Given : The sugar content of the syrup is canned peaches is normally distributed.

We assume the can is designed to have standard deviation \sigma=5 milligrams.

The sampling distribution of the sample variance is chi-square distribution.

Also,The data yields a sample standard deviation of s=4.8 milligrams.

Sample size : n= 10

Test statistic for chi-square :\chi^2=\dfrac{s^2(n-1)}{\sigma^2}

i.e. \chi^2=\dfrac{(4.8)^2(10-1)}{(5)^2}=8.2944

Now, P-value = P(\chi^2>8.2944)=0.50477  [By using the chi-square distribution table for p-values.]

Hence, the chance of observing the sample standard deviation greater than 4.8 milligrams = 0.50477

8 0
3 years ago
(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3
Stells [14]

Answer:  The required inverse transform of the given function is

f(t)=8t^2e^{4t}.

Step-by-step explanation:  We are given to find the inverse Laplace transform, f(t), of the following function :

F(s)=\dfrac{16}{(s-4)^3}.

We have the following Laplace formula :

L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.

Therefore, we get

f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.

Thus, the required inverse transform of the given function is

f(t)=8t^2e^{4t}.

6 0
3 years ago
Find the product of C =AB.<br> Cu=<br> C12=<br> C21 =<br> C22 =
serg [7]

Answer:

-1, 3, 3, -3

Step-by-step explanation:

On Edg

3 0
3 years ago
Read 2 more answers
Find decimal notation.<br> 0.8​%
ipn [44]

To convert a percent to a decimal, divide the percent by 100.

0.8/100 = 0.008 <<<<<< answer.

3 0
3 years ago
Read 2 more answers
Is 44/37 a rational number
Katena32 [7]

Answer:

no

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • A town has a population of 12000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the popul
    13·1 answer
  • The set of x values of a function, this is another name for domain
    5·1 answer
  • A worker at a mill is loading 5-lb bags of flour into boxes to deliver to a local warehouse.Each box holds 12 bags of flour.If t
    9·2 answers
  • How do I find the x-Interception of -2(8+3)^2 +8
    11·1 answer
  • What is the value of x?
    14·2 answers
  • Help!!!! fast!!!!!!!!!!!​
    8·2 answers
  • Use the graphing method to solve the system of linear equations:
    11·1 answer
  • A 6 pound package of chicken costs $12.66 what is the cost per pound
    9·1 answer
  • Which set of ordered pairs is linear?
    5·1 answer
  • Joaquin was putting numbers on a number line. Which number is NOT placed correctly on the number line?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!