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2 years ago

Simplify the expression

Mathematics

1 answer:

Nat2105 [25]2 years ago

7 0

Answer:

8x - 4y

Step-by-step explanation:

First: solve the parentheses

8x - 7y - (3-6y)

Second: combine like terms (terms that both have y or x, or other variable)

8x - 7y - (-3y)

Third: there are no more like terms, so you are left with this as your answer

8x - 4y

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Pls help what is this as a simplified fraction (thank u Jesus loves u)

Arte-miy333 [17]

Answer:

7.9 or 79/10

Step-by-step explanation:

-12.166 / -1.54

12.166 / 1.54

7.9

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If I understand it correctly then its complementary angle will be 115˚, because 180-65=115.

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Drag each tile to the correct cell in the table.

Gnoma [55]

Answer:

Ari has 14 pennies.

Step-by-step explanation:

Number Value Total value

Pennies p $0.01 0.01p

Nickels (22 - p) $0.05 $(22 - p)0.05

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Since Ari has total value of the coins = $0.54

0.01p + (22 - p)0.05 = 0.54

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The sum of the first two terms of an infinite GP is 6 and each term is 5 times the sum of the succeeding termsthen the second te

kozerog [31]

Answer:

$\dfrac{6}{7}$ .

Step-by-step explanation:

It is given that the sum of first two terms of an infinite GP is 6.

nth term of a GP is

$a_n=ar^{n-1}$

$a+ar=6$ ...(1)

Each term is 5 times the sum of the succeeding terms.

$a_n=5(a_{n+1}+a_{n+2}+...+\infty)$

$ar^{n-1}=5(ar^n+ar^{n+1}+...+\infty)$

$ar^{n-1}=5ar^n(1+r+r^2+...+\infty)$

Divide both sides by a.

$r^{n-1}=5r^n(\dfrac{1}{1-r})$ $[\text{Sum of infinite GP}=\dfrac{a}{1-r}]$

$\dfrac{r^n}{r}=\dfrac{5r^n}{1-r}$

$\dfrac{1}{r}=\dfrac{5}{1-r}$

$1-r=5r$

$1=6r$

$\dfrac{1}{6}=r$

The common ratio is 1/6.

Put r=1/6 in (1).

$a+a(\dfrac{1}{6})=6$

$6a+a=36$

$7a=36$

$a=\dfrac{36}{7}$

Second term $ar=\dfrac{36}{7}\times \dfrac{1}{6}=\dfrac{6}{7}$

Therefore, the second term is $\dfrac{6}{7}$ .

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3 years ago