1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timurjin [86]
3 years ago
15

Match the correct rational number to its equivalent repeating decimal: 27.33333

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
5 0

Answer:

A. \frac{82}{3}

Step-by-step explanation:

Step 1: We know .3333... is \frac{1}{3}, we rewrite the equation as  \frac{1}{3}

27\frac{1}{3}\\ \frac{1+(27)(3)}{3}\\\frac{1+81}{3}\\\frac{82}{3}\\

Therefore the answer would be A. \frac{82}{3}

Debora [2.8K]3 years ago
4 0

Answer:

A. 82/3

Step-by-step explanation:

3\overline{|\smallspace82}\space\space\space\space\\\mathrm{Divide}\:8\:\mathrm{by}\:3\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\

\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:3\\

\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Subtract}\:6\:\mathrm{from}\:8\\

\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\

\mathrm{Bring\:down\:the\:next\:number\:of\:the\:dividend}\\

\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Divide 22 by 3 to get 7

\begin{matrix}\space\space\space\space\emptyspace2\emptyspace7\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Multiply  the quotient digit 7 by the divisor

and sbtract 21 from 22=1

= 27 remainder 1

You might be interested in
What is 7.5 as a fraction ?
Elis [28]
75/10 is 7.5 as a fraction
5 0
3 years ago
Read 2 more answers
Graph and check to solve the linear system <br> x+y=3<br> -2x+y=-6
Alenkinab [10]

Answer:

-x - y = -3

-2x + y = -6

-3x = -9

x = 3

3 + y = 3

y = 0

(3,0)

6 0
2 years ago
Solve the following Simultaneous equation<br>Using any suitable method<br> x+6y=2, 3x +2y =10​
uranmaximum [27]

Answer:

x = 0.5

y = -1/4 or -0.25

Step-by-step explanation:

x + 6y = 2

3x + 2y = 10

Multiply a number by any of the equations to get numbers of the same variable

3x + 18y = 6

3x + 2y = 10

3x - 3x = 0

NB: subtract evenly if u subtract down from top make sure u subtract down from top throughout

16y = -4

16y/16 = -4/16

y = -1/4 or -0.25

to find the x value, any where you see y u put in the y value(-0.25)

So u'll pick just one of the equations above

x + 6(0.25) = 2

x + 1.5 = 2

x = 1.5 + 2

x = 0.5

5 0
3 years ago
Plis help with this problem! (Screenshot attached)
Diano4ka-milaya [45]

Answer: The total surface area is 633.9

Step-by-step explanation:

12.25 times 15.75, then divide by 2 = 96.46875 (this is the area of the triangle

Then times 4 = 385.875 (Because there are four triangles

15.75 times 15.75 = 248.0625 (The area of the square)

The sum is 633.9375

Rounded = 633.9

3 0
2 years ago
Read 2 more answers
∠ABD and ∠BDE are supplementary. Find the measures of both angles.
Gnom [1K]

Supplementary means that the angles have to add up to 180, so you have your equation.

180=5x+17x-18

198=22x

x=9

Then to find the measures of the angles, you plug x back in.

m∠ABD=5(9)=45 degrees

m∠BDE=17(9)-18=153-18=135 degrees  


5 0
3 years ago
Other questions:
  • QUESTION 6 OF 17 A Lyft driver has received 160 reviews with an average rating of 4.4 out of 5 stars. If the driver wanted to ra
    13·1 answer
  • Evaluate 9 P 3 and 11 C 3
    6·2 answers
  • Please help me because I don't know the answer​
    7·2 answers
  • The table represents the height in meters of a baseball a pitcher threw to another player after a certain number of seconds. Wh
    10·2 answers
  • URGENT !!!!
    10·1 answer
  • What is the value of the function at x=−2? (98 points)
    8·1 answer
  • which list shows the numbers in order from least to greatest? a. 5.4 × 104, 5.4 × 103, 4.5 × 104 b. 5.4 × 103, 5.4 × 104, 4.5 ×
    15·1 answer
  • Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t
    8·2 answers
  • Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.
    13·1 answer
  • A trader had 30,500 eggs . He sold 12,680 of them to John and 16,570 to Peter. How many eggs he had left
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!