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Elan Coil [88]
3 years ago
15

The following sequence represents an arithmetic sequence. 1, 2, 3, 4, 1, 2, 3, 4, . . . true false

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
8 0
False as the difference between two consecutive numbers is not a constant
Ainat [17]3 years ago
8 0

Answer:

False

Step-by-step explanation:

Given sequence,

1, 2, 3, 4, 1, 2, 3, 4, .........

Since, a sequence is called Arithmetic sequence if the difference in consecutive terms is constant,

∵ 2 - 1 = 3 - 2 = 4 - 3 = 1 - 4 ≠ 2 - 1 = 3 - 2 = 4 - 3 .......

Hence, the difference in consecutive terms is not constant,

Therefore, given sequence is not an Arithmetic sequence.

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Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs
Agata [3.3K]

Answer:

25 Months

Step-by-step explanation:

Let's make the equations first,

Plan A: 70x   Plan B: 50x+500...

Now we make it into an equivalent equation:

70x=50x+500...

Then we solve:

70x=50x+500-50x -50x20x=500...

÷20 ÷20x=25...

To check if it's correct, we just plug it in:

70(25)=50(25)+500...

1750=1750...

Brainliest Answer please? Hope this helps! Good luck!

8 0
3 years ago
Plz help with this word problem
Andreyy89
He will mix some 20% solution and some 70% solution to make 60% solution.

Let x = number of liters of 20% solution.
Let y = number of liters of 70% solution.

He wants to make 50 liters of 60% solution, so

x + y = 50   First Equation

The amount of acid in x amount of 20% solution is 20% of x, or 0.2x
The amount of acid in y amount of 70% solution is 70% of y, or 0.7y
The amount of acid in 50 liters of 60% solution is 60% of 50 liters, or 0.6 * 50 = 30
Now we add the amounts of acid.
0.2x + 0.7y = 30   Second Equation

x + y = 50
0.2x + 0.7y = 30

-0.2x - 0.2y = -10
0.2x + 0.7y = 30
------------------------
           0.5y = 20

y = 40

x + y = 50

x + 40 = 50

x = 10

Answer: He needs 10 liters of 20% solution and 40 liters of 70% solution.
4 0
3 years ago
Read 2 more answers
A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?
NeTakaya
A point (a, b) in the second Quadrant, is any point where a is negative and b is positive.

For example (-3, 5), (-189, 14) etc are all points in the 2.Quadrant

Rotating a point P(x, y) in the second Quadrant 180° counterclockwise, means rotating 180° counterclockwise about the origin, which maps point P to P'(-a, -b) in the fourth Quadrant.

3 0
3 years ago
Solve the equations.<br> a. (x − 2)^2 = 9<br> b. 3(x − 2)^2 = 9<br> c. 6 = 24(x + 1)^2
seropon [69]

Answer: a) x = 5 or -1 b) x = √3+2

c) x = -1/2 or -3/2

Step-by-step explanation:

a) (x − 2)² = 9

First step is to take the square root of both sides to eliminate the square

√ (x − 2)² = √9

x-2 = +-3

x = +3+2

x = 5 and;

x = -3+2

x = -1

x = 5 or -1

b) 3(x-2)² = 9

First we divide both sides by 3 to get;

(x-2)² = 9/3

(x-2)² = 3

Second step is to take the square root of both sides to eliminate the square

√(x-2)² = √3

x-2 = √3

x = √3+2

c) 6 = 24(x+1)²

Dividing both sides by 24, we have

6/24 = (x+1)²

1/4 = (x+1)²

Taking the square root of both sides we have

√1/4 = √(x+1)²

= +-1/2 = x+1

x = +1/2-1 = -1/2 and;

x = -1/2-1 = -3/2

x = -1/2 or -3/2

4 0
3 years ago
A bike and skate shop rents bike for $21 per day and pairs of skates for $20 per day. To remain viable, the shop needs to make a
Leya [2.2K]
Let the number of bike be x and the number of skates be y, then
21x + 20y ≥ 362 . . . (1)
2y = x . . . (2)

Putting (2) into (1), then
21(2y) + 20y ≥ 362
42y + 20y ≥ 362
62y ≥ 362
y ≥ 5.84

The least number of pairs of skates they need to rent each day to make their minimum is 6.
7 0
3 years ago
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