MATHEMATICS HIGH SCHOOL

Which number is a prime number?
141
161
171
151

Answers

Answer 1
Answer: 141 (The original number) ;1 + 4 + 1 = 6 (Add each individual digit together) ;6 is divisible by 3 ;Then 141 is divisible by 3 ;141 isn't a prime number ;In the same way, 171 is divisible by 9 ; then, 171 isn't a prime number ;

161 = 7 x 23; 161 is divisible by 7 ; then, 161  isn't a prime number ;

Test whether 171 is divisible by 2, 3 , 5 , 7 , 11 , 13 ( an algorithm that tests each incremental m against all known primes <  division ) ;
but, 171 isn't divisibile by 2,3,5,7,11,13 ;
Finally, 171 is a prime number ;

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D.Trail Y is steeper than trail X.

Answers

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If y=2 when x=3. What is the value of y when x=9?

Answers

because x was *3 you had to y*3 which is 
y=6
y = 2
x = 3

If x = 9, = x * 3

Thus, y * 3 = 6.

Thus, y = 6.

A pole 3 m high has a shadow 5 m long when the shadow of a nearby building is 110 m long. How tall is the building? Which of the following proportions could be used to solve the problem? 3/110 = x/5 3/x = 110/5 x/3 = 110/5

Answers

You can use corresponding parts of the proportion as any of
  (pole:building) = (pole shadow:building shadow)
  (pole:pole shadow) = (building:building shadow)
or the reverse of these.

The appropriate choice is ...
  x/3 = 110/5 . . . . (building:pole) = (building shadow:pole shadow)

Answer:

(110)/(5)=(x)/(3)

Step-by-step explanation:

Given : A pole 3 m high has a shadow 5 m long

           The shadow of a nearby building is 110 m long.

To Find:  How tall is the building?

Solution:

Let the height of building be x

A pole 3 m high has a shadow 5 m long

The shadow of a nearby building is 110 m long.

Height of pole and length of shadow has direct variation

So, A.T.Q

(3)/(5)=(x)/(110)

or

(110)/(5)=(x)/(3)

Hence Option C is correct

(110)/(5)=(x)/(3)

1) In 2001, there were about 62.5 thousand golden retrievers registered in the United States. In 2002, the number was 56.1 thousand. If the number of golden retrievers continues to decrease at the same rate, how many golden retrievers are there in the year 2010?(A) 64 thousand
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(C) 4.9 thousand
(D) 132.9 thousand

Answers

62500 - 56100 = 6400  - number of retrivers u lost per year.
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Stephan has a dog that weighs 5 times as much as Ian's dog. The total weight of both dogs is 72 pounds. how much does Stephans dog weigh??

Answers

Answer:

Stephan's dog weighs 60 pounds.

Step-by-step explanation:

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
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