All categories

3 years ago

(1+1/3)^2−2/9 I am about to have a mental breakdown, please somebody answer

Mathematics

2 answers:

Archy [21]3 years ago

8 0

Answer:

$\frac{14}{9} = 1\frac{5}{9} \\\\1.5$

Step-by-step explanation:

$(1+1/3)^2-2/9\\\\= \left(1+\frac{1}{3}\right)^2-\frac{2}{9}\\\\\left(1+\frac{1}{3}\right)^2=\frac{4^2}{3^2}\\\\=\frac{4^2}{3^2}-\frac{2}{9}\\\\\frac{4^2}{3^2}=\frac{16}{9}\\\\=\frac{16}{9}-\frac{2}{9}\\\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{16-2}{9}\\\\\mathrm{Subtract\:the\:numbers:}\:16-2=14\\=\frac{14}{9}$

Andrej [43]3 years ago

3 0

Answer:

14/9

Step-by-step explanation:

take a look at my picture

You might be interested in

Set 4x equal to x+30 and solve.

prisoha [69]

Answer:

x = 10

Step-by-step explanation:

1) Subtract x from both sides.

4x − x = 30

2) Simplify 4−x to 3x

3x = 30

3) Divide both sides by 3

x = $\frac{30}{3}$

4) Simplify $\frac{30}{3}$ to 10

x = 10

7 0

2 years ago

What is the 50th term of the sequence that begins with -6, 0, 6, 12...

vazorg [7]

Answer:

The 50th term is 288.

Step-by-step explanation:

A sequence that each term is related with the prior by a sum of a constant ratio is called a arithmetic progression, the sequence in this problem is one of those. In order to calculate the nth term of a setence like that we need to use the following formula:

an = a1 + (n-1)*r

Where an is the nth term, a1 is the first term, n is the position of the term in the sequence and r is the ratio between the numbers. In this case:

a50 = -6 + (50 - 1)*6

a50 = -6 + 49*6

a50 = -6 + 294

a50 = 288

The 50th term is 288.

5 0

2 years ago

Gini has a small garden that is 234 yards in length and 1 yard and with she grows roses 1/2 of her garden how many square yards

kipiarov [429]

Answer:

117 square yards.

Step-by-step explanation:

Given:

Length of garden = 234 yards

Breadth of garden = 1 yard

She grows roses 1/2 of her garden.

Question asked:

How many square yards are Gini's garden has roses ?

Solution:

First of all we will find area of rectangular garden.

$Area \ of \ rectangle = Length\times breadth$

$=234\times1 =234 \ square \ yards$

Then, as here given half of garden, she grows roses, we will find half of the

rectangular garden.

$\frac{1}{2} \ of 234\\\frac{1}{2} \times234 =117\ square\ yards$

Therefore, 117 square yards of her garden has roses.

5 0

2 years ago

What is the answer to 5.09x15

Lady bird [3.3K]

5.09 times 15 equals 76.35

4 0

2 years ago

5/6 + (-1/2)value of sum

bulgar [2K]

Answer:

it's 1/3

Step-by-step explanation:

5/6+(-1/2)

5/6-1/2

LCM= 6

(5-3)/6

2/6

1/3

8 0

2 years ago