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3 years ago

The sum of 6 consecutive even numbers is 270.What is the second number in this sequence?

Mathematics

2 answers:

denis-greek [22]3 years ago

7 0

The sequence would be 40,42,44,46,48,50.
The second number is 42.

Finger [1]3 years ago

3 0

Answer: 42

Step-by-step explanation:

Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.

Then According to the question , we have

$x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270\\\\\Rightarrow\ x+x+2+x+4+x+6+x+8+x+10=270\\\\\Rightarrow\6x+30=270\\\\\Rightarrow\ 6x=270-30\\\\\Rightarrow\ 6x=240\\\\\Rightarrow\ x=40$

Now, the second number from the above six consecutive even numbers is x+2.

Substitute the value of x in it, we get

The second number in this sequence = $x+2=40+2=42$

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The data shown in the table below can be

kvv77 [185]

Answer:

6: 12

7: 14

8: 16

Step-by-step explanation:

You do the last (y) term given [18] minus the first (y) term [10] given divided by how many terms it takes to get from the last (y) term given minus the first (y) term given [4]. So the equation looks like this:

(18 - 10)/4= 8/4 = 2

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3 years ago

In 2003, there were about 5.8078 X 10^8 people using the Internet in the world and about 1.6575 X 10^8 of these people were in t

lianna [129]

Answer:

28.5% Internet users in 2003 were in the United States.

Step-by-step explanation:

We are given the following in the question:

Number of people using the internet =

$5.8078 \times 10^8$

Number of people in United States =

$1.6575 \times 10^8$

Percent of Internet users in 2003 were in the United States =

$=\dfrac{\text{Number of users in United States}}{\text{Number of internet user in world}}\times 100\%\\\\=\dfrac{ 1.6575 \times 10^8}{5.8078 \times 10^8}\times 100\%\\\\=28.5\%$

Thus, 28.5% Internet users in 2003 were in the United States.

6 0

3 years ago

Can someone explain rational and irrational numbers to me? Odysseyware sucks at teaching.

umka2103 [35]

I'm doing geometry for credit advancement in Odysseyware. Brainly and Openstudy are saviors. Anyways. So, and irrational number can't be written as a fraction, but can be written as a decimal. An irrational number has endless non repeating number to the right of the decimal point. A rational number is a number that can be written in a ratio. Which in turn means it can be written as a fraction. Both number of the fraction (numerator and denominator) are whole numbers. Any whole number is a rational number. <span />

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4 years ago

Read 2 more answers

How do you say 33 091 in word

LekaFEV [45]

Thirty three thousand and ninety one

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3 years ago

Read 2 more answers

A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents p

patriot [66]

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

the total charge on a call greater than 120min is given as;

120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

Ethan paid $26.80 for 175 mins

n = 175min here;

120x + y(175 - 120) = 26.80

120x + 55y = 26.80 ----- (I)

$32.40 for 210 minutes

n = 210min

120x + y(210 - 120) = 32.4

120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

120x + 55y = 26.80 ----- (I)

120x + 90y = 32.4 ----- (II)

subtract the two equations;

90y - 55y = 32.4 - 26.8

35y = 5.6

y = $\frac{5.6}{35}$ = 0.16cents

then x;

120x = 26.8 - 55y from equation I

120x = 26.8 - 55(0.16)

120x = 18

x = $\frac{18}{120}$ = 0.15cents

Find the cost of 140min of talk time;

n =140min;

= 120(0.15) + 0.16(140 - 120)

= 18 + 0.16(20)

= 18 + 3.2

= $21.2

4 0

3 years ago