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Lady bird [3.3K]
3 years ago
5

I WILL GIVE BRAINLIEST PLEASE HELP (picture)

Mathematics
1 answer:
Blizzard [7]3 years ago
8 0

0.\overline{7}=0.777...\\\\x=0.777...\qquad\text{multiply both sides by 10}\\\\10x=7.777...\\\\\text{Make the difference}\\\\10x-x=7.777...-0.777...\\\\9x=7\qquad\text{divide both sides by 9}\\\\x=\dfrac{7}{9}\\\\Answer:\ \boxed{0.\overline{7}=\dfrac{7}{9}}\\-----------------\\You\ can\ remember\\\\\dfrac{1}{9}=0.\overline{1}\\\\\dfrac{2}{9}=0.\overline{2}\\\\\dfrac{3}{9}=0.\overline{3}\\\\\dfrac{4}{9}=0.\overline{4}\\\vdots\\\\\dfrac{8}{9}=0.\overline{8}

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Suppose you deposit ​$600 in a bank account with a simple interest rate of 2.5​%. You want to keep your deposit in the bank long
aksik [14]

1 ) the formula used to calculate the simple interest is

I = Ci*n,  f his formula you obtain n , that is the time in years  n = I/ Ci, where c is the initial  capital,  i is the  earned interest  , and i is he rate of interest,

n = 120/600 (0,025) = 120 / 15 =  8 , at 8 years, you will obtain $ 120 of INTEREST

5 0
3 years ago
Lily is cutting a piece of yarn into 3 (three) pieces. The 2nd piece is 3 times as long as the 1st piece, while the 3rd piece is
STatiana [176]

Answer:

The length of the first piece = 41 cm

Step-by-step explanation:

Let the length of the first piece = a

Let the length of the second piece = b

Let the length of the third piece = c

we are given the following:

b = 3a . . . . . (1)     (The 2nd piece is 3 times as long as the 1st piece)

c = 6 + a  . . . . (2)    (the 3rd piece is 6 centimeters longer than the 1st piece)

a + b + c = 211 . . . . . (3)    (  the yarn has a total length of 211 centimeters)

Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:

a + b + c = 211

a + (3a) + (6 + a) = 211       ( remember that   b = 3a; c = 6 + a)

a + 3a + 6 + a = 211

5a + 6 = 211

5a = 211 - 6 = 205

5a = 205

∴ a = 205 ÷ 5 = 41 cm

a = 41 cm

Therefore the length of the first piece (a) = 41 cm

now  finding b and c

substituting a into equation 1 and 2

b = 3a

b = 3 × 41 = 123

∴ b = 123 cm

c = 6 + a

c = 6 + 41 = 47

∴ c = 47 cm

6 0
3 years ago
Convert the following degree measure to radian measure 30 degrees
insens350 [35]

Step-by-step explanation:

given 30°

converting into radian measure

= 30 * π / 180

= π / 6

6 0
3 years ago
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Answer:

answer to the question is A

8 0
3 years ago
Look at this table.
NemiM [27]

OPTION:

B

Step-by-step explanation:

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