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1 year ago

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100 POINTS+BRAINLIEST 8TH GRADE MATH PT 4: this one is similar to #3

2 answers:

8_murik_8 [283]1 year ago

8 0

The answer is B
Explanation

djverab [1.8K]1 year ago

6 0

Answer:

b. x + (x + 2) + (x + 4) = 39

Step-by-step explanation:

<u>Definitions</u>

Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ...
Odd number: an integer that when divided by two leaves a remainder (so not a multiple of 2). For example, 1, 3, 5, 7 are all positive odd numbers.
Consecutive: following one after the other in order.

<u>The sum of three consecutive odd integers</u>

Let x be the first odd integer.

As there is a <u>difference of 2</u> between <u>consecutive odd integers</u>, the next odd integer after x will be (x + 2).

Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).

So "the sum of three consecutive odd integers is thirty-nine" is:

x + (x + 2) + (x + 4) = 39

<u>To solve</u>

⇒ x + (x + 2) + (x + 4) = 39

⇒ x + x + 2 + x + 4 = 39

⇒ 3x + 6 = 39

⇒ 3x = 33

⇒ x = 11

Therefore, the three consecutive odd numbers are 11, 13 and 15.

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Match each series with the equivalent series written in sigma notation

PIT_PIT [208]

Answer:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

Step-by-step explanation:

Given

See attachment for complete question

Required

Match equivalent expressions

Solving (a):

$3 + 12 + 48 + 192 + 768$

The expression can be written as:

$3 \to 3*4^{0$ --- 0

$12 \to 3 * 4^{1$ ---- 1

$48 \to 3 * 4^{2$ --- 2

$192 \to 3 * 4^{3$ ---- 3

$768 \to 3 * 4^{4$ ---- 4

For the nth term, the expression is:

$Term = 3 * 4^{n$ ---- n

So, the summation is:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

Solving (b):

$4 + 32 + 256 + 2048 + 16384$

The expression can be written as:

$4 \to 4 * 8^0$ --- 0

$32 \to 4 * 8^1$ ---- 1

$256 \to 4 * 8^2$ --- 2

$2048 \to 4 * 8^3$ ---- 3

$16384 \to 4 * 8^4$ ---- 4

For the nth term, the expression is:

$Term \to 4 * 8^n$ ---- n

So, the summation is:

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

Solving (c):

$2 + 6 + 18 + 54 + 162$

The expression can be written as:

$2 \to 2 * 3^0$ --- 0

$6 \to 2 * 3^1$ ---- 1

$18 \to 2 * 3^2$ --- 2

$54 \to 2 * 3^3$ ---- 3

$162 \to 2 * 3^4$ ---- 4

For the nth term, the expression is:

$Term \to 2 * 3^n$ ---- n

So, the summation is:

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

Solving (d):

$3 + 15 + 75 + 375 + 1875$

The expression can be written as:

$3 \to 3 * 5^0$ --- 0

$15 \to 3 * 5^1$ ---- 1

$75 \to 3 * 5^2$ --- 2

$375 \to 3 * 5^3$ ---- 3

$1875 \to 3 * 5^4$ ---- 4

For the nth term, the expression is:

$Term \to 3 * 5^n$ ---- n

So, the summation is:

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

5 0

2 years ago

What is equivalent to 69

solong [7]

60+9
3*23
6*11.5
34.5*2

6 0

3 years ago

I can’t figure this out could u help me

djyliett [7]

I think it’s B and C. They are the same distance away from 0 but, they are on different sides. Therefore, they are opposites.

8 0

2 years ago

6(22+9) what is this answer

scoundrel [369]

If you would like to solve 6 * (22 + 9), you can calculate this using the following steps:

6 * (22 + 9) = 6 * 31 = 186

The correct result would be 186.

5 0

3 years ago

Read 2 more answers

A store can buy 8 cartons of milk for $24 dollars or 7 cartons of milk for $28.

Anettt [7]

Answer:

C

Step-by-step explanation:

Divide 24 by 8 equals 3..

7 0

2 years ago