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4 years ago

When two of the three numbers are added at a time, the possible sums are 32, 39, 23. What is the sum of all three numbers?

Mathematics

1 answer:

arsen [322]4 years ago

4 0

Answer:

Step-by-step explanation:

Let a, b, and c be those three numbers.

When two of the three numbers are added at a time, the possible sums are 32, 39, 23. Let

$a+b=32\\ \\a+c=39\\ \\b+c=23$

Add these three equations:

$a+b+a+c+b+c=32+39+23\\ \\2a+2b+2c=94$

Divide this equation by 2:

$a+b+c=47$

The sum of all three numbers is 47.

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A tree double in weight in three months. How long will it take to be 1600% in weight? (Linear or exponential growth?)

Ray Of Light [21]

Answer: 12 months

Step-by-step explanation:

Given : A tree double in weight in three months.

Since the weight is increasing by growth factor of 2 , therefore its is an exponential growth.

The exponential growth equation is given by :-

$y=Ab^x$ (1)

, where A is the initial values , b is the growth factor and x is the time period.

As per given , b= 2

Since the tree doubles in weight in three months, so time period x = $\dfrac{t}{3}$ , where t= number of months.

Substitute the value of b and x in (1) , we get

$y=A(2)^{\dfrac{t}{3}}$ , where y= weight of tree after t months and A is initial weight of tree.

When it will be 1600% of his initial weight , the weight of tree : y= 1600% of A = $\dfrac{1600}{100}\times A=16A$

At y= 16 A , $16A=A(2)^{\dfrac{t}{3}}$

$\Rightarrow\ 16=2^{\dfrac{t}{3}}$

$\Rightarrow\ 2^{4}=2^{\dfrac{t}{3}}$

$\Rightarrow\ 4=\dfrac{t}{3}\Rightarrow\ t=3\times4=12$

Hence, it will take 12 months to be 1600% in weight.

6 0

4 years ago

i have been struggling for this work that has been assigned to me at the first day of school after a long time.

maria [59]

Answer:

Fill the gaps in this sequence:

25 36 49 64 81 100

This sequence is the numbers 5, 6, 7, 8, 9, and 10 squared.

Work out the cube root of 343, then square it.

49

Since 7 cubed equals 343, then 7 squared is 49.

When you subtract one square number from another the answer is 7.

What are the two square numbers?

16 and 9

These are the only squares that fit the criteria.

Write down a number you can square to give an answer bigger than 200 but smaller than 300.

15, 16, 17

All of those answers work. 15² is 225, 16² is 256, and 17² is 289. You can choose any of them to enter in and it should work.

7 0

3 years ago

Subtract and answer with the simplest form −338−78 = ? thank you!!!!!!

bixtya [17]

Answer:

-338-78= -416

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What kind of transformation converts the graph of f(x) = 10x + 71 - 2 into the graph of

Over [174]

Answer:

A transition down six units

Step-by-step explanation:

-2-6=-8

8 0

3 years ago

What is 3 multiplied by 3/8 as a mixed number

krek1111 [17]

Answer:

1 and 1/8

Step-by-step explanation:

The number 1.125 can be writen using the fraction 1125/1000 which is equal to 9/8 when reduced to lowest terms.

It is also equal to 1 1/8 when writen as a mixed number.

You can use the following approximate value(s) for this number:

1.125 =~ 1 (if you admit a error of -11.111111%)

7 0

4 years ago