MATHEMATICS HIGH SCHOOL

What is the perimeter of 5 5/8 and 6 1/4

Answers

Answer 1
Answer: 2(5 5/8) + 2(6 1/4) = 11.25 + 12.5 = 23.75

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What is 1/3 of 225,000

Answers

(1)/(3)*225,000= (225,000)/(3)=75,000

Final answer:

1/3 of 225,000 can be calculated by dividing the number 225,000 by 3. The result of this operation is 75,000. Therefore, 1/3 of 225,000 is 75,000.

Explanation:

To find one-third of 225,000, divide 225,000 by 3. This is equivalent to multiplying by 1/3, as division and multiplication by the reciprocal are inverse operations. When calculated, the result is 75,000. This means that one-third of 225,000 equals 75,000. Understanding this relationship between division and multiplication helps simplify complex calculations and provides a straightforward method for determining fractions of large numbers, facilitating efficient mathematical problem-solving.

Learn more about division here:

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The amount of driver's education students have is related to how many accidents they have. This relationship is known as:A. variables.
B. correlation.
C. finite.
D. coupling.

Answers

Answer: B. correlation

"The amount of driver's education students have is related to how many accidents they have."  The statement mentioned beforehand shows correlation. A correlation refers to the relationship of two variables as they fluctuate together either negatively or positively. 

Answer:   B. correlation.

Step-by-step explanation:

  • The term "correlation" is a statistical measure which represents the relation ship between two variables.

The given statement : The amount of driver's education students have is related to how many accidents they have.

It can be seen that the two variables are related here, therefore the relationship is known as correlation.

The radius of Venus is 3760.4 miles. What is the approximate volume of Venus?

Answers

Venus is a planet, hence is spherical shaped.

Formula for Volume of a Sphere: 4/3πr^2

Apply this formula
4/3π(3760.4)^2=59232040.95 miles^3

(Permutations) what is he value of 8C6?

Answers

8C6 = 8!/[6!(8-6)!] = 56/2 = 28

In a theater group of 36 people. 20 can sing and 12 can play instruments. If 5 can play n sing. How many can niether play nor sing

Answers

Answer:

9

Step-by-step explanation:

Draw a Venn diagram.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \                     \      /                 /                 |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

The Venn diagram is set up as above. The two circles insiode the rectangle look like two hexagons and they overlap.

The overlap is labele B, for people who both play and sing. The left circle is P for people who play, and the right circle is S for people who sing.

Now we begin to fill it in.

5 people both play and sing, so we place a 5 in the overlap section.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \                     \  5  /                 /                 |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

20 people sing. Subtract the 5 who both sing and play, and you have 15 who can only sing.

12 people play. Subtract the 5 who both sing and play, and you have 7 who only sing.

Place the numbers 15 and 7 in the correct places.

+------------------------------------------------------------+

|    N                                                                 |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                  |

|      /                     /  B \                 \                |

|      \       7           \  5  /       15     /                |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

Now add all the people already placed.

15 + 5 + 7 = 27

Subtract that number form the total.

36 - 27 = 9

Place the 9 in the correct area.

+------------------------------------------------------------+

|    N                     9                                          |

|           +--------------+   +-----------+                    |

|        /     P             /\          S      \                   |

|      /                     /  B \                 \                |

|      \       7           \  5  /       15     /                |

|         \                   \ /                  /                 |

|           +------------+     +------------+                   |

|                                                                        |

+------------------------------------------------------------+

Answer: 9

A more normal looking Venn diagram looks like this:

Put the following equation of a line into slope-intercept form, simplifying all fractions.12x-20y=60

Answers

Answer:

y= (-3/5)x + 3

Step-by-step explanation:

Slope-Intercept form is y = mx + b, where m is the slope and b the y-intercept.

12x-20y=60   Rearrange

20y=60 -12x

20y= -12x + 60

y= (-12/20)x + (60/20)

y= (-3/5)x + 3
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