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Goryan [66]
3 years ago
8

The sum of 4 consecutive even numbers is 36. What is the first number in this sequence?

Mathematics
2 answers:
Anna [14]3 years ago
8 0

Answer:

first number = 6

Step-by-step explanation:

Note that consecutive even numbers have a difference of 2 between them.

Let n be the first even number then

n + 2, n + 4, n + 6 are the next 3 consecutive even numbers

Sum them together and equate to 36

n + n + 2 + n + 4 + n + 6 = 36 ← simplify left side

4n + 12 = 36 ( subtract 12 from both sides )

4n = 24 ( divide both sides by 4 )

n = 6

The first number is 6 and the next 3 are 8, 10, 12

sashaice [31]3 years ago
7 0

Answer:

the first number in this sequence is 6....

Step-by-step explanation:

First number = x

2nd number = x+2

3rd consecutive even number = x+4

4th consecutive even number = x+6

Therefore,

By adding these numbers:

x+x+2+x+4+x+6= 36

Add the like terms:

4x+12=36

Combine the constants:

4x=36-12

4x=24

Divide both the terms by 4

4x/4 = 24/4

x= 6

Thus the first number in this sequence is 6....

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max2010maxim [7]

Answer:

97

Step-by-step explanation:

Given the following conditions :

board measuring 1x100, each square is numbered from 1 to 100

Three colors are used to paint the squares from left to right in the sequence :

one blue, two reds and three green squares in a repeated pattern.

What is the highest numbered square that is painted blue?

The sequence of painting is repeated after :

(1 + 2 + 3) = 6 successive squares

Since the number of squares = 100

Maximum complete repetition possible :

100 / 6 = 16 remainder 4

Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)

On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.

Hence, the highest numbered square that is painted blue is 97

5 0
3 years ago
Read 2 more answers
Miguel collected aluminum cans for recycling. He collected a total of 150 cans. If 58% of the cans he collected were soda cans h
Romashka-Z-Leto [24]

Given:

• Total number of cans collected = 150

,

• Percent of cans that were soda = 58%

Let's find the number of other cans he collected.

To find the number of other cans, since the percent of soda is 58%, let's find the pecent of other cans.

Percent of other cans = 100% - 58% = 42%

The percent of other cans collected was 42%.

Now, to find the number of other cans collected, let's find 42% of the total number of cans collected 150.

We have:

42\text{ \% }\ast150\Longrightarrow0.42\times150=63

Therefore, the number of other cans collected is 63 cans.

ANSWER:

63 cans

4 0
1 year ago

Anestetic [448]

Answer:

5 pounds

Step-by-step explanation:

3 0
2 years ago
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Solve the equation -20=-4x-6x
IrinaK [193]
-20=-4x-6x
4x+6x=20
10x=20
x=20:10
x=2

proof:
-20=-4×2-6×2
-20=-8-12
(-8)+(-12)=-20

4 0
3 years ago
The square below has a side length of 14 inches. What is the area of the shaded region?
hichkok12 [17]

Answer:

14 square units

Step-by-step explanation:

7 0
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