MATHEMATICS HIGH SCHOOL

Which one of the following statements expresses a true proportion? A. 2 : 3 = 3 : 2
B. 3 : 5 = 12 : 20
C. 14 : 6 = 28 : 18
D. 42 : 7 = 6 : 2

Answers

Answer 1
Answer: Try them step by step 

2/3=3/2? No

3/5=12/20? Lets try and see

If we simplify 12/20 what do we do? Well we take 4*3=12 and 4*5=20 

Now that we simply the 4 from both the numerator and denominator we get our answer 3/5 

Your answer will be B.

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Convert speed of 15 miles per hour to feet per second

Answers

Solutions 

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15 miles per hour = 22 feet per second
15 miles per hour = 22 feet per second

Write an explicit formula for each sequence.
3, 7, 11, 15, ...

Answers

Answer:

f(n)= f(1)+d(n-1)

Step-by-step explanation:

the aerithmetric explict formula is the one above, but im  not sure what the question is asking, your difference is 4 btw    

Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?

Answers

$44.25 .. The perimeter is 19.8, times the cost, which is 44.25

The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x
f(x) = 90(1.013)x
f(x) = 91.2(2.2)x
f(x) = 90(2.2)x

Answers

Given:
year 0 - 2005 : 90,000
year 1 - 2006 : 91,200

91,200 - 90,000 = 1,200
1,200 / 90,000 = 0.013

90,000 (1+0.013)^1 ⇒ 90,000 (1.013)^1 =  91,170 OR 91,200

The best representation of the relationship between x and f(x) is choice 2.
f(x) = 90(1.013)x

The population of rabbits doubles every 3 months. If there were initially 150 at the bunny farm, how many will there be after 3 years?

Answers

First you need to find how many months there are in 3 years. You multiply 3 by 12 to find out how many months there are(there are 12 months in a year) 3*12 = 36. Next you need to find out how many times the population doubles. You can do this by dividing the total amount of months by 3(36/3=12). You can then multiply the starting population by 2 to the amount of times you double (150*(2^(12))). Giving you an answer of 49152.

given a rectangle of length a and width b if A and B are both rational numbers would the perimeter be irrational or rational? Give an example choosing your own values for a and b

Answers

The perimeter would be rational due to both the width and length being rational numbers. A rational number is a number that can be written as a fraction such as 8 it can be written as 8/1, but a irrational would be a decimal number which in this case there would be none because both length and width is rational number. For example, Lets say the width is 8 and the length is 10. once both are written into fraction form such as 8/1 and 10/1 we add them to get a perimeter of 18.
Hope this helps! 
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