Need help with this please

How do you turn 1.83 (3 repeating) into a simplified fraction?

seraphim [82]

Answer:

The value of 1.83.... (3 repeating) in the form of a simplified fraction = $\frac{165}{90}$

Step-by-step explanation:

Let x be = 1.83....(3 repeating)

∵ only one number is repeating, multiply the number with 10

∴ 10x = 10 × 1.83.... = 18.3..... (3 repeating)

Subtracting both the equations = 10x - x = 18.3.... - 1.83....

= 9x = 16.5

∴ x = $\frac{16.5}{9}$ =

$\frac{16.5}{9}$ × 10 = $\frac{165}{90}$

5 0

3 years ago

Enter T or F depending on whether the statement is true or not. (You must enter T or F -- True and False will not work.) If it i

slava [35]

Answer:

See below

Step-by-step explanation:

If a is divisible by 3 then a is divisible by 9

FALSE

Counter-example

6 is divisible by 3 but not by 9

The subtraction of 2 rational numbers is rational.

TRUE

Proof

If a, b are two rational numbers

$\large a=\frac{p}{q}\;b=\frac{r}{s}$

for some integers p, q, r, s.

Then

$\large a-b=\frac{p}{q}-\frac{r}{s}=\frac{ps-qr}{qs}$

since ps-qr and qs are integers, a-b is rational

A sufficient condition for an integer to be divisible by 8 is that it is divisible by 2

FALSE

Counter-example

4 is divisible by 2 but not by 8

A sufficient condition for an integer to be divisible by 6 is that it is divisible by 2

FALSE

Counter-example

4 is divisible by 2 but not by 6

If a is divisible by 9 then a is divisible by 3.

TRUE

Proof

If a is divisible by 9, then a = 9k for some integer k, but 9=3*3, so a = 3*(3k).

Since 3k is integer, a is divisible also by 3.

The product of 2 consecutive integers is even.

TRUE

Proof

Let p, q be two consecutive integers, then either p is even or odd.

Suppose first p is even. Then

p = 2n and q = 2n+1, so p*q=2n(2n+1)=2n*2n+2n=2(n*2n+n)

since (n*2n+n) is integer p*q is even.

Suppose now p is odd

p = 2n+1 q = 2n+2, then

p*q=(2n+1)(2n+2)=2n*2n+2*2n+2n+2=2(n*2n+2n+n+1)

since (n*2n+2n+n+1) is integer p*q is also even.

Answer the following questions:

30 division 3 =

10

30 mod 3 =

0 (the remainder when dividing 30 by 3)

-26 division 5 =

-5 (plus remainder -1)

-26 mod 5 =

-1 (the remainder when dividing -26 by 5)

28 division 4 =

7

28 mod 4 =

0

-29 division 10 =

-2 (plus remainder -9)

-29 mod 10 =

-9

24 division 9 =

2 (plus remainder 6)

24 mod 9 =

6

-28 division 6=

-4 (plus remainder -4)

-28 mod 6 =

-4

965255471 mod 101 =

87 (the remainder when dividing 965255471 by 101)

630153353 mod 101 =

11 (the remainder when dividing 630153353 by 101)

8 0

4 years ago

Joe walks 3 miles east and then 1/2 mile west. It took him an hour, what was his average speed?

zalisa [80]

Answer:

3.5 / 1 = 3.5 mph hope this helps....

Step-by-step explanation:

8 0

4 years ago

The Ratio of potatoes to tumips is 1:1

Kazeer [188]

Answer:

473 Tumips

Step-by-step explanation:

for every 1 potato there is 1 tumip; the numbers should always be equal

7 0

3 years ago

Read 2 more answers

What is 143/13 as a mixed numeral?

yuradex [85]

Answer and Step-by-step explanation:

$Hello!$

$Here~I~will~show~you~how~to~~convert~an~improper~fraction~into~$ $a~mixed~number!$

$To~find~the~answer~we~simply~divide~143~by~13.$

→ We get our answer as:

 $\frac{143}{12}=11$ 

 $Now,~that~we've~got~11~as~our~answer,~Let's~see~what~a~mixed~number$ $is~so~that~we~can~convert~it.$

→ What does mixed fraction mean? :

 $It~simply~means,~a~mixed~number~has~an~integer~that~is~a~whole$ $integer. So,~to~make~it~into~a~mixed~number~we~need~an~integer~and~$ $a~fraction~so~we~can~write~it~as:$

$=11\frac{0}{13}$

→ And that's your answer!

8 0

3 years ago

Need help with this please​

Need help with this please