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IrinaK [193]
3 years ago
7

Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum

is 22. find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12 10. the missing number in the series 1, 4, 27,____, 3125 is: 81 35 729 256 115 11. the next number in the series 3, 4, 6, 7, 9, 10 is: 12 11 15 17 13 12. a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant? 72 66 69 63 75
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

Alright, lets get started.

Missing number fom the series :  9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

6561^2 = 43046721

It means the missing number will be square of its previous number

Means 9^2 = 81, so missing number is 81.   :    Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, x = 3y + 2  ......equation (1)

Their sum is 22  means,  x+y = 22 .......equation (2)

Putting the value of x from equation1 into equation 2

3y + 2 + y = 22

4y + 2 = 22

Subtracting 2 in both sides

4y + 2 - 2 = 22 - 2

4y = 20

y = 5

x = 22 - y = 22 - 5 = 17

Means numbers are 17 and 5.   : Answer


Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as 2^2

27 could be written as 3^3

So , next number would be 4^4

4^4 = 256

Next one is 5^5 = 3125

So, the missing number is 256   :    Answer


Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12.   : Answer



Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is = 3 * (2-1) = 3

Between 3 plants, the distance is = 3 * (3-1) = 6

So, between 23 plants, the distance is = 3 * (23-1) = 3 * 22 = 66

hene the distance between first and last plant woule be 66 feet.   :   Answer



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Lana71 [14]

Answer:

at matilda's new job, she will make a rounded salary of $69,000 per year.

Step-by-step explanation:

when solving a problem like this, you have to take her current salary ($64,000 per year) and multiply it to the salary increase percentage by first turning the percentage into a decimal. to turn the percentage into a decimal, you imagine a tiny dot to the right of the 8 like this:

8.

and then you have to move that little dot to the left two times recreating it into .08. you multiply .08 (the salary increase percentage) by her current salary ($64,000) and then also add that number to matilda's current salary to come up with the answer you can round. I'll give you an example of my proscess just so I can give a clear visual of my explanation.

step one:

$64,000

x .08

-------------

5,120

step 2:

$64,000

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-------------

$69,120

step 3:

$69,120 is rounded up to the nearest thousands is approximately $69,000

answer: $69,000

6 0
3 years ago
BRAINLIEST ANSWER (please do it right)
Naddika [18.5K]

Answer:

55 performances

Step-by-step explanation:

The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.

y = 88,000 + 5,900x

The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances

y = 7,500x

Now set the equations equal to each other and solve for x

7,500x = 88,000 + 5,900x

1,600x = 88,000

x = 55

They need to have 55 performances for the cost and the revenue to break even.

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3 years ago
Tyler's family is using a shipping trailer that is 5 feet tall 4 feet wide and 12 feet long to load boxes of apples in each box
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the volume would be  18in x 24in x 12in.

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Answer:

Option A. √(x + 1)

Step-by-step explanation:

Data obtained from the question include:

f(x) = √(x² – 1)

g(x) = √(x – 1)

(f/g) (x) =..?

(x² – 1) => difference of two square

(x² – 1) => (x – 1)(x + 1)

f(x) = √(x² – 1)

f(x) = √(x – 1)(x + 1)

(f/g) (x) = f(x) /g(x)

f(x) = √(x – 1)(x + 1)

g(x) = √(x – 1)

(f/g) (x) = √(x – 1)(x + 1) / √(x – 1)

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3 years ago
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IRISSAK [1]

Answer:

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Step-by-step explanation:

6871383

how you doing?

how your day going?

8 0
2 years ago
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