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
kompoz [17]
3 years ago
5

Suppose the number 1155 is written as the product of three positive integers. What is the smallest possible value of the sum of

those three integers?
Mathematics
2 answers:
ipn [44]3 years ago
7 0
3. the equation I used is: 3×5×77
alisha [4.7K]3 years ago
3 0
My first thought when I read this problem was "11 is a factor of 1155."  Indeed,
1155 equals 11 times 105.  Next, determine factors of 105.  I see that 5 is a divisor of both 10 and 5, so that 105 equals 5 times 21.

Adding together these three integers:  11+5+21 = 37

But wait!  21 can be factored (e. g., into 7 times 3).

You'll need to identify all of the several sets of 3 positive integers each and find the sum of each set.  Only after you've done this can you choose the set whose sum of the three integers is the smallest.  Please show your work, so that others can give you feedback on it.
You might be interested in
Find the product (b-2at^2)(3b-3at^2)
Maurinko [17]

Answer: 3b^2-9bat^2+6a^2t^4

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

- Apply the Distributive property.

- Remember that, according the exponents properties, when you multiply two powers with equal base, you must add the exponents.

- Add the like terms.

Therefore, you obtain that the product is the following:

(b-2at^2)(3b-3at^2)=3b^2-3bat^2-6bat^2+6a^2t^4=3b^2-9bat^2+6a^2t^4

8 0
3 years ago
Read 2 more answers
coach made a deposit of $1,800 into an account that earns 2% simple interest.Find the amount of interest coach made in 3 years
Alexandra [31]

Answer:

39420

Step-by-step explanation:

Multiply 2% by 365, then you get 7.3, multiply 7.3 by 3, then you get 21.9, then last step, multiply 21.9 by 1800$

7 0
2 years ago
Many plants, such as the potato plant, avoid insect predation by producing highly toxic sap. However, the potato bug, unlike mos
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

3 0
3 years ago
Two statistics teachers both believe that each has the smarter class. To put this to the test, they give the same final exam to
SVETLANKA909090 [29]

Answer:

We conclude that there is no difference between the two classes.

Step-by-step explanation:

We are given that two statistics teachers both believe that each has a smarter class.

A summary of the class sizes, class means, and standard deviations is given below:n1 = 47, x-bar1 = 84.4, s1 = 18n2 = 50, x-bar2 = 82.9, s2 = 17

Let \mu_1 = mean age of student cars.

 \mu_2 = mean age of faculty cars.

So, Null Hypothesis, H_0 : \mu_1=\mu_2      {means that there is no difference in the two classes}  

Alternate Hypothesis, H_A : \mu_1\neq \mu_2      {means that there is a difference in the two classes}

The test statistics that will be used here is <u>Two-sample t-test statistics</u> because we don't know about the population standard deviations;

                         T.S.  =  \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }   ~  t_n_1_+_n_2_-_2

where, \bar X_1 = sample mean age of student cars = 8 years

\bar X_2  = sample mean age of faculty cars = 5.3 years  

s_1 = sample standard deviation of student cars = 3.6 years  

s_2 = sample standard deviation of student cars = 3.7 years  

n_1 = sample of student cars = 110  

n_2 = sample of faculty cars = 75  

Also, s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }  = \sqrt{\frac{(47-1)\times 18^{2}+(50-1)\times 17^{2} }{47+50-2} }  = 17.491

So, <u><em>the test statistics</em></u> =  \frac{(84.4-82.9)-(0)}{17.491 \times \sqrt{\frac{1}{47}+\frac{1}{50} } }  ~  t_9_5

                                     =  0.422    

The value of t-test statistics is 0.422.

<u>Now, the P-value of the test statistics is given by;</u>

P-value = P(t_9_5 > 0.422) = From the t table it is clear that the P-value will lie somewhere between 40% and 30%.

Since the P-value of our test statistics is way more than the level of significance of 0.04, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as our test statistics will not fall in the rejection region.

Therefore, we conclude that there is no difference between the two classes.

6 0
2 years ago
If you buy a ruler and a compass together but the compass is .40 cents more what is the cost of the compass and the ruler
Dvinal [7]
How much money was spent in all?
5 0
3 years ago
Other questions:
  • omar is born weighing 8 pounds, 3 ounces. The doctor says he should gain about 5 ounces each week for the next 4 weeks. How much
    13·1 answer
  • Express the moment of the couple acting on the rod in cartesian vector form. What is the magnitude of the couple moment?
    6·1 answer
  • You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi
    13·2 answers
  • What kind of transformation is shown below? Explain how you knew which type of transformation it was.
    9·2 answers
  • 1 fourth to the 3rd power as a fraction
    12·2 answers
  • 57:22 5 What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the po
    14·1 answer
  • Please help also its a one answer question!!
    13·1 answer
  • The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 and the denominator
    8·1 answer
  • Which point is the reflection of (2,-5) on the
    14·1 answer
  • Find the indicated term of the sequence whose nth term is given by the formula.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!