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3 years ago

Write the recurring decimal 0,101010101... . as a fraction in its simplest form.

Mathematics

2 answers:

beks73 [17]3 years ago

8 0

Answer:

$\frac{10}{99}$

Step-by-step explanation:

We require to create 2 equations with the repeating decimal after the decimal point.

let x = 0.10101.... → (1)

Multiply both sides by 100

100x = 10.10101.... → (2)

Subtracting (1) from (2) eliminates the repeating decimal, thus

99x = 10 ( divide both sides by 99 )

x = $\frac{10}{99}$

DochEvi [55]3 years ago

5 0

Answer:

$\frac{10}{99}$

Step-by-step explanation:

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Colin invests £3900 into his bank account.

zloy xaker [14]

Answer:

Colin will have 421824 pennies after 2 years

Step-by-step explanation:

Given:

Amount invested in bank by Colin (P) = £3900

Rate of interest (r) = 4%

Time period (n) = 2 years

To find: Amount after 2 years (A)

Solution:

Formula for amount (A) is $A=P\left ( 1+\frac{r}{100} \right )^n$

$A=3900\left ( 1+\frac{4}{100} \right )^2\\=3900\left ( 1+\frac{1}{25} \right )^2\\=3900\times \frac{26}{25}\times \frac{26}{25}\\=4218.24$

As 1 pound = 100 pennies,

4218.24 pounds = 4218.24 × 100 = 421824 pennies

So,

Colin will have 421824 pennies after 2 years.

4 0

3 years ago

Find the length of a photograph whose width is 10 inches and whole proportions are the same as a 5-inch by 8-inch photograph.

Naily [24]

5 inch is the width, 8 inch is the length.

Find to scale between the two widths:

10 /5 = 2 the larger photo is 2 times larger,

Multiply the known length by 2:

8 x 2 = 16

The length would be 16

4 0

3 years ago

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MrRa [10]

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1 year ago

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Answer: Slope intercept form

Step-by-step explanation:

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3 years ago

At a concession stand one person purchased 3 drinks and 3 soft pretzels for a total of $9.00 another person purchased 4 drinks a

kherson [118]

d=drinks
p=pretzels
1st eq. 3d+3p=9.00
2nd eq. 4d+2p=8.50

multiply 1st eq by 2

6d+6p=18.00

multiply 2nd eq by 3
12d+6p=25.50
subtract
-6d=-7.50
d=1.25
3p=9.00-3d

3p=9-3.75

3p=5.25
p=1.75
price of a pretzel=$1.75

price of a drink = $1.25

7 0

3 years ago

Write the recurring decimal 0,101010101... . as a fraction in its simplest form.​

Write the recurring decimal 0,101010101... . as a fraction in its simplest form.