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Pani-rosa [81]
3 years ago
10

How do you solve: 21 11/12 plus 17 5/12

Mathematics
2 answers:
GarryVolchara [31]3 years ago
6 0
The problem is 21  \frac{11}{12} + 17 \frac{5}{12}

Add the whole numbers

21 + 17 = 38

Match up the fractions and make sure the denominators are the same (they are)

\frac{11}{12}  +  \frac{5}{12} =  \frac{16}{12}

Break down the fraction 

16 ÷ 12 = 1 \frac{4}{12}

Reduce-You need to find a common factor for both the numerator and denominator

4 ÷ 4 = 1

12 ÷ 4 = 3

Combine everything

38 +  1\frac{1}{3} =39  \frac{1}{3}

Answer: 39  \frac{1}{3}







ArbitrLikvidat [17]3 years ago
6 0
If you would like to calculate 21 11/12 + 17 5/12, you can do this using the following steps:

21 11/12 + 17 5/12 = 263/12 + 209/12 = (263 + 209) / 12 = 472/12 = 118/3 = 39 1/3

The correct result would be 39 1/3.
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The population of a city has decreased by 27% since it was last measured. If the current population is 7300, what was the previo
Tema [17]

Answer:

the answer is 9271

Step-by-step explanation:

if 7300 is 73%, then you need to add 27% to get 100% which is 9271

7 0
2 years ago
Find three consecutive odd integers such that
Anuta_ua [19.1K]

Answer:

17, 19, 21

Step-by-step explanation:

x = first number

x+2 = second number

x+4 = third number

4x + 3(x+2) + 2(x+4) = 167

simplify:

4x + 3x + 6 + 2x + 8 = 167

combine like terms:

9x + 14 = 167

subtract 14 from each side of the equation:

9x = 153

divide both sides by 9:

x = 17

7 0
3 years ago
What is the distance between (4,2) and (-1,-3)
Sati [7]
<h2>Solving for the Distance between two Points</h2><h3>Answer:</h3>

5 \sqrt{2} or 7.071

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about distances between two points: <u>brainly.com/question/24629826</u></em>

Given:

(4,2)

(-1,-3)

Solving for the Distance:

\sqrt{(4-(-1))^2 +(2 -(-3))^2} \\ \sqrt{(4 +1)^2 +(2 +3)^2} \\ \sqrt{5^2 +5^2} \\ \sqrt{25 +25} \\ \sqrt{50} \\ \sqrt{25 \cdot 2} \\ 5 \sqrt{2}

<u>Note:</u>

5 \sqrt{2} \approx 7.071

4 0
3 years ago
Select all true statements
bixtya [17]

Answer:

f(x) has a larger growth rate

f(x) is always greater than g(x)

Step-by-step explanation:

f(x) = 2/5 x

g(x) = -2x

the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive

therefore the correct true statements are:

f(x) has a larger growth rate, and f(x) is always greater than g(x)

8 0
3 years ago
Read 2 more answers
The yield of orange trees is reduced if they are planted too close together. If there are 30 trees per acre, each tree produces
Tanya [424]

Answer:

5 more than 30 trees should be  planted, for a total of 40 trees per acre.

Step-by-step explanation:

Let x be the number of trees beyond 30 that are planted on the acre

The number of oranges produced = Oranges(x) = (number of trees) (yield per tree)

We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree

So, number of oranges produced =(30 + x)(400 -10x)

                                                        = 12000 -300x+400x-10x^2

                                                        = 12000 + 100x-10x^2

The derivative Oranges'(x) = 100-20x

Substitute first derivative equals to 0

100-20x =0

x=5

Using the second derivative test,

Oranges"(x) = -20

20 is negative,

So, this is the case of maximum.

Thus, 5 more than 30 trees should be  planted, for a total of 40 trees per acre.

4 0
3 years ago
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