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3 years ago

The sum of two numbers, x and y, is 12. The difference of x and two times y is 6. What are the values of x and y?

1 answer:

8 0

The answer is: x = 10, y = 2

Leave a thanks because your welcome :)

Work:

x + y = 12
(10) + (2)+ = 12
Correct

x - 2y = 6
(10) - 2(2) = 6
10 - 4 = 6
Correct

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Write each sum using summation notation<br> 12 + 22 + 32 + 42 + ⋯ + 10000^2

Murljashka [212]

Answer:

50,00,70,000

Step-by-step explanation:

The given sequence is Arithmetic Progression.

Arithmetic Progression is a sequence in which every two neighbor digits have equal distances.

Here first we will find the number of terms

For finding the nth term, we use formula

aₙ = a + (n - 1) d

where, aₙ = value of nth term

a = First term

n = number of term

d = difference

Now, In given sequence: 12, 22, 32, 42, ⋯ , 100002

a = 12, d = 10, n = ? and aₙ= 100002

∴ 100002 = 12 + (n - 1) × (10)

⇒ 99990 = 10(n - 1)

⇒ n = 10000

Now using the formula of Sum of Arithmetic Sequence,

Sₙ = n÷2[2a + (n - 1)d]

⇒ Sₙ = (10000÷2)[2 × 12 + 9999 × 10]

⇒ Sₙ = 5000 [ 24 + 99990]

⇒ Sₙ = 5000 × 100014 = 50,00,70,000

5 0

2 years ago

vanessa drew a figure and said that it had an infinite number of lines of symmetry. what figure did she draw?

Korolek [52]

A circle
That's a very easy one cuz if u try u will find it to be correct

5 0

3 years ago

Read 2 more answers

Claudine has $45. She gives

yulyashka [42]

$43 dollars your welcome

7 0

2 years ago

A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal

Sever21 [200]

Answer:

35 m/s

Step-by-step explanation:

Let gravitational acceleration g = 9.8m/s2. We can calculate the amount of time for the ball to fall vertically a distance of 1.6 m

$1.6 = 9.8t^2/2$

$t^2 = 2*1.6/9.8 = 0.327$

$t = \sqrt{0.327} = 0.571s$

This is also the time it takes for the ball to fly horizontally, assume constant horizontal speed, we can calculate the speed it takes to travel across 20m in 0.571s

v = 20 / 0.571 = 35 m/s

4 0

2 years ago

Charlie watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 2 5 of the

Finger [1]

Answer: 4/15 of the movie

Step-by-step explanation:

In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.

At the end of the day, he still had ²/₅ of the movie to watch.

The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.

¹/₃ + ²/₅ + x = 1

x = 1 - ¹/₃ - ²/₅

$x = \frac{15 - 5 - 6 }{15} \\\\x = \frac{4}{15}$

3 0

2 years ago