MATHEMATICS COLLEGE

What is 6/12 = 12/ blank

Answers

Answer 1
Answer:

Answer: 12/24

Step-by-step explanation: 6/12 = 1/2 = 12/24
Answer 2
Answer: 12/24 they are both half

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The productivity of workers at a shoe factory (in pairs of shoes per hour) can be modeled using the function p(h) = -2/7h + 5, where h is the number of hours. If a worker must create at least 3 pairs of shoes per hour for the company to be profitable, how long should the worker's shift be?
Suppose you invest $50 a month in an annuity that earns 48% APR compounded monthly. How much money will you have in this account after 2 years?A: 2001.29B: 751.29C: 1954.13D: 1536.19Solution: use formula P[((1+(r/n)^(nt))-1)/(r/n)]Solution 50[((1+(0.48/12)^(2 x 12))-1)/(0.48/12)]= C $1954.13
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A new car is purchased for 23,900 dollars. The value of the car depreciates at a rate of 6.4% per year. Which equation represents the value of the car after 4 years? Answer Multiple Choice Answers V, equals, 23, comma, 900, left bracket, 0, point, 9, 3, 6, right bracket, left bracket, 0, point, 9, 3, 6, right bracket, left bracket, 0, point, 9, 3, 6, right bracket, left bracket, 0, point, 9, 3, 6, right bracketV=23,900(0.936)(0.936)(0.936)(0.936) V, equals, 23, comma, 900, left bracket, 1, plus, 0, point, 0, 6, 4, right bracket, to the power 4V=23,900(1+0.064) 4 V, equals, 23, comma, 900, left bracket, 1, minus, 0, point, 0, 6, 4, right bracket, left bracket, 1, minus, 0, point, 0, 6, 4, right bracketV=23,900(1−0.064)(1−0.064) V, equals, 23, comma, 900, left bracket, 0, point, 0, 6, 4, right bracket, to the power 4V=23,900(0.064) 4

Which statement is true about this argument?Premises:

If two angles form a linear pair, then they are supplementary.

If two angles are supplementary, then the sum of their measures is 180∘.

Conclusion:

If two angles form a linear pair, then the sum of their measures is 180∘.


A The argument is valid by the law of detachment.

B The argument is valid by the law of syllogism.

C The argument is not valid because the conclusion does not follow from the premises.

D The argument is not valid because the premises are not true.

Answers

Answer:

the answer is: The argument is valid by the law of syllogism.

Step-by-step explanation:

thanks for the wrong answer other guy.

Final answer:

The argument mentioned in the question is valid by the Law of Syllogism in mathematics, which says that if 'if p then q' and 'if q then r' are two implications then 'if p then r' can be deduced from them.

Explanation:

In the context of this question, the correct answer would be (B) The argument is valid by the law of syllogism. The Law of Syllogism states that if we have two conditionals, 'if p then q' and 'if q then r', and and q is the same in both, then we can deduce a new conditional 'if p then r'.

In this case:

  • 'p' is 'two angles form a linear pair'
  • 'q' is 'they are supplementary'
  • 'r' is 'the sum of their measures is 180∘'

So, 'if p then q' is 'If two angles form a linear pair, then they are supplementary', 'if q then r' is 'If two angles are supplementary, then the sum of their measures is 180∘'. Therefore, we can deduce the new conditional 'If two angles form a linear pair (p), then the sum of their measures is 180∘ (r)', which is the conclusion mentioned.

Learn more about Law of Syllogism here:

brainly.com/question/24760664

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300 people joined the community orchestra. Some intended to play a string instrument, some a brass instrument, and the others percussion. If 3 times as many people were planning to play a string instrument as a brass instrument, and if 60 fewer were going to play percussion than a brass instrument, how many people were planning to play each type of instrument?

Answers

Total amount of instrument players= 300
Number of brass instrument players= x (because we do not know how many there are, except that all other values that we must calculate are based off of the number of brass players we have 
Number of string instruments= 3x (because 3 times more than the number of brass instruments 
Number of Percussion= x-60 (because there are 60 less percussion players than brass players 

So, our equation is (number of string instruments)+(number of brass instruments)+(number of percussion instruments)=300 (which is our total possible number of people 

3x+x+x-60=300
3x+x+x=360
5x=360
x= 72

We have 72 brass instrument players, 3(72)= 216 string instrument players, and 72-60=12 percussion players

check: 72+216+12=300

Suppose we express the amount of land under cultivation as the product of four factors:Land = (land/food) x (food/kcal) x (kcal/person) x (population)

The annual growth rates for each factor are:
1. the land required to grow a unit of food, -1% (due to greater productivity per unit of land)
2. the amount of food grown per calorie of food eaten by a human, +0.5%
3. per capita calorie consumption, +0.1%
4. the size of the population, +1.5%.

Required:
At these rates, how long would it take to double the amount of cultivated land needed? At that time, how much less land would be required to grow a unit of food?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following annual growth rates:

land/food = - 1%

food/kcal = 0.5%

kcal/person = 0.1%

population = 1.5%

Σ annual growth rates = (-1 + 0.5 + 0.1 + 1.5)% = 1.1% = 0.011

Exponential growth in Land :

L = Lo * e^(rt)

Where Lo = Initial ; L = increase after t years ; r = growth rate

Time for amount of cultivated land to double

L = 2 * initial

L = 2Lo

2Lo = Lo * e^(rt)

2 = e^(0.011t)

Take the In of both sides

In(2) = 0.011t

0.6931471 = 0.011t

t = 0.6931471 / 0.011

t = 63.01 years

Land per unit of food at t = 63.01 years

L = Fo * e^(rt)

r = growth rate of land required to grow a unit of food = 1% = 0.01

L/Fo = e^(-0.01* 63.01)

L/Fo = e^(−0.6301)

= 0.5325385 = 0.53253 * 100% = 53.25%

Land per unit now takes (100% - 53.25%) = 46.75%

A Triangle has an angle that measures 137.3 degrees. The other two angles are in a ratio of 3:4. What are the measures of those two angles?

Answers

so we start off by subtracting 137.3 from 180 getting 42.5. If you add the ratios up (3+4) you get 7 and 7 should equal 42.5. thus,

42.5/7= 85/14

(85/14)*3=18.2 or (255/14 to be exact)
(85/14)*4= 24.29 or (170/7 to be exact)

153.8=3.14(r)squared

Answers

153.8 = 3.14r^2

Divide each side by 3.14 to get r alone.

48.9 = r^2

Take the square root of each side to isolate r.

r = 6.999

r= 7

r=12.27


153.8-3.14=150.66

150.66 square root is 12.27

The graph at the right described the money two clubs are earning from fundraising. In how many weeks will the two clubs have the same amount of money? Explain your thinking completely

Answers

Answer:

52 weeks

Step-by-step explanation:

The club starting with $270 (club 1) is increasing their bank balance each week by ...

... $280 -270 = $10

The club starting with $10 (club 2) is increasing their bank balance each week by ...

... $25 -10 = $15

Club 2 is gaining on Club 1 by $15 -10 = $5 each week. So, the initial difference of $270 -10 = $260 will be overcome in ...

... $260/($5/week) = 52 weeks

_____

The same result is shown in the attached graph, which also shows that both clubs' bank balances will be $790 at that time.
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