Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum of the ages of his children. Mark points out that there is still not enough information to accurately guess. Finally, Bob says, "My youngest child called Justice." Mark can then correctly determine the ages of Bob's children. What are the ages?

Answers

Answer 1
Answer: I have answered this question before. 

Given:
Bob has three kids whose ages has the product of 72. I will only be able to give you a set of 3 numbers to represent the ages. Had the sum of the ages been given, the specific ages would be provided.

I just did a prime factorization of 72.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3
  3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72   ⇒ 2³ x 3²

There are a lot of possible combinations, here are a few.

1 x 8 x   9 = 72      ⇒ 1 + 8 + 9 = 18
1 x 4 x 18 = 72      ⇒ 1 + 4 + 18 = 23
2 x 4 x   9 = 72      ⇒ 2 + 4 + 9 = 15

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A parabola is defined as all points equidistant from a given directrix and focus.A. True
B. False

Answers

I think it's True hope this helps :D 

Answer on APEX is A. True

Which expression represents "the sum of 3 and n"a. n + 3
b. n3
c. 3n
d. n + n + n

Answers

  Answer:

Option (a) is correct.

n + 3 represents the given expression "the sum of 3 and n" correctly.

Step-by-step explanation:

Given : Expression "the sum of 3 and n"

We have to choose the correct option from the given options that represents the given expression "the sum of 3 and n" correctly.

Consider the given expression "the sum of 3 and n"

We know the mathematical symbol for sum is '+'

So, The sum of 3 and n is written mathematically as 3 + n

Thus,  n + 3 represents the given expression "the sum of 3 and n" correctly.

The answer would be A, yet if this was for homework or a test, you would write it out as "3 + n".

Some help? Plz? I need some

Answers

Answer:

B=59

Step-by-step explanation:

59 is across from B so they are equal.

Answer:

b = 59

Step-by-step explanation:

b is located right across from the 59 degrees, and they are separated by the same 2 lines that make up their angles. Therefore causing them to have the same measurement, making b = 59

Find the sum of 12/13 +(-1/3)

Answers

Answer:

23/39

Step-by-step explanation:

Step 1:

12/13 + ( - 1/3 )

Step 2:

36/39 - 13/39

Answer:

23/39

Hope This Helps :)

The table gives the mean and standard deviation of four data distributions.Mean Standard Deviation
Distribution 1 22 0.2
Distribution 2 21 0.8
Distribution 3 19 1.2
Distribution 4 20 3.2
which Distribution has the greatest spread.? help please !

Answers

The distribution 4 has the greatest spread because the value of the  standard deviation is 3.2

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

As we know, the standard deviation will give idea about the spread of the data.

As we can see in the distribution 4

The standard deviation = 3.2

And 3.2 is the bigger than all other distribution.

Thus, the distribution 4 has the greatest spread because the value of the  standard deviation is 3.2

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2

The sample with the greatest standard deviation relative to the mean has the greatest spread.  Since the means are all similar, we just look at the distribution with the highest standard deviation.  This is Distribution 4, with a standard deviation of 3.2.

A catering company charges a $300 set up fee and $10 per person for a lunch buffet. Approximately how many people must attend the lunch so that the total cost per person is $14?

Answers

Answer:

Let x be the number of person and y be the total cost per person.

As per the statement:

A catering company charges a $300 set up fee and $10 per person for a lunch buffet.

"$10 per person" translated to 10x

then;

Total cost per person = 10x+300

It is also given that: total cost per person is $14.

14x=10x+300

Subtract 10x from both sides we have;

4x = 300

Divide both sides by 4 we have;

x = 75

Therefore, 75 number of people must attend the lunch so that the total cost per person is $14


CATERING TOTAL COST  F(X) = 10X + 300

TOTAL REQUIRED                       14X

                                                  10X + 300 = 14X

                                                   10X - 14X = -300

                                                            -4X = -300

                                                              4X = 300

                                                                X= 300/4

                                                                 X=75  <------------------SOLUTION