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hjlf
3 years ago
8

Three consecutive even numbers are such that the sum of four times the smallest and twice the largest exceeds three times the se

cond by 2006. What is the sum of the digits of the smallest number
Mathematics
1 answer:
Andru [333]3 years ago
4 0

Answer:

the sum of the digits of the smallest number 668 = 6+6+8 = 20

Step-by-step explanation:

3 consecutive even number: x, x+2, x+4

4x + 2*(x+4) = 3*(x+2) + 2006

6x + 8 = 3x + 6 + 2006 = 3x + 2012

6x - 3x = 2012 - 8 = 2004

3x = 2004

x = 668

the sum of the digits of the smallest number = 6+6+8 = 20

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What is the outlier in the following data : 85,83,9,85,82,81,90
kow [346]
It is 9 because all the other numbers are in the 80s and 90s 9 is way to low.
3 0
4 years ago
In the air, it had an average speed of 16 m/s In the water, it had an average speed of 3 m/s before hitting the seabed. The tota
julia-pushkina [17]
<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>

Step-by-step explanation:

Total distance to sea bed = 127 m

Let the distance traveled in air be s.

Distance traveled in water = 127 - s

Average velocity in air = 16 m/s

Average velocity in water = 3 m/s

Distance traveled in air = Average velocity in air x Time in air

s = 16 x t₁

t_1=\frac{s}{16}

Distance traveled in water = Average velocity in water x Time in water

127-s = 3 x t₂

t_2=\frac{127-s}{3}

We have total time is 12 seconds

That is

                t₁ + t₂ = 12

                \frac{s}{16}+\frac{127-s}{3}=12\\\\3s+2032-16s=576\\\\13s=1456\\\\s=112m

We have

            s = 16 x t₁

            112 = 16 x t₁

             t₁ = 7 s

           t₁ + t₂ = 12

            7 + t₂ = 12    

             t₂ = 5 s

The stone fall in air for 7 seconds and fall in water for 5 seconds.

7 0
3 years ago
Identify the parts relating to o A.<br> What is FG?<br> What is DB?<br> What is DH?<br> What is AC?
svetoff [14.1K]

Answer:

Usually, when a question says "FG" or "DB" or any of the other letters put together, they mean the line that it connects to. For example: Point A to Point C. However, I can't say so for sure, because This answer most likely has a diagram drawn beside it. If you can put the diagram or picture along with your questions, I can help you out more!

Step-by-step explanation:

7 0
3 years ago
Simplify (3xy2)(4xy)(2xy)3.
Scilla [17]
<span>(3xy</span>²<span>)(4xy)(2xy)</span>³ = (12x²y³)(8x³y³) = 96x⁵y⁶
3 0
3 years ago
Read 2 more answers
PLEASE HELP.
OverLord2011 [107]

Answer:

Explicit formula for

1) a_n=17-3(n-1)

2) a_n=(\frac{1}{2} )^{n-1}\cdot 20

Step-by-step explanation:

W have to find the first few terms of the given sequence and then find an explicit equation

Explicit formula = f(n) + d(n-1) , where,

f(n) is first term,

d is common difference,

n-1 is one term less than the term number.

1)

Given : a_1=17\\\\a_{n+1}=a_n-3

\text{We put n =1, we get,}\\\\a_2=a_1-3=17-3=11=17-3(2-1)\\\\\\\text{We put n =2, we get,}\\\\\\a_3=a_2-3=11-3=8=17-3-3=17-3\cdot 2=17-3(3-1)\\\\\text{We put n =3, we get,}\\\\\\a_4=a_3-3=8-3=5=17-3-3-3=17-3\cdot 3=17-3(4-1)\\

Thus, we obtained an explicit formula,

a_n=17-3(n-1)

2)

Given : a_1=20\\\\a_{n+1}=\frac{1}{2} \cdot a_n

\text{We put n =1, we get,}\\\\a_2=a_1-3=17-3=11=17-3(2-1)\\\\\\\text{We put n =2, we get,}\\\\\\a_3=a_2-3=11-3=8=17-3-3=17-3\cdot 2=17-3(3-1)\\\\\text{We put n =3, we get,}\\\\\\a_4=a_3-3=8-3=5=17-3-3-3=17-3\cdot 3=17-3(4-1)\\

Thus, we obtained an explicit formula,

a_n=17-3(n-1)

\text{We put n =1, we get,}\\\\\\a_2=\frac{1}{2} \cdot a_1=\frac{1}{2} \cdot 20=10=(\frac{1}{2} )^{2-1}\cdot 20\\\\\\\text{We put n =3, we get,}\\\\\\a_4=\frac{1}{2} \cdot a_3=\frac{1}{2} \cdot 5=\frac{5}{2}=(\frac{1}{2} )^{4-1}\cdot 20\\\\\\

Thus, we obtained an explicit formula,

a_n=(\frac{1}{2} )^{n-1}\cdot 20

8 0
3 years ago
Read 2 more answers
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