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
mario62 [17]
3 years ago
14

Choose the mixed numeral that is equivalent to this decimal 3.242424...

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

Answer:

First, we can write:

x

=

3

.

¯¯¯¯

24

Next, we can multiply each side by  

100

giving:

100

x

=

324

.

¯¯¯¯

24

Then we can subtract each side of the first equation from each side of the second equation giving:

100

x

−

x

=

324

.

¯¯¯¯

24

−

3

.

¯¯¯¯

24

We can now solve for  

x

as follows:

100

x

−

1

x

=

(

324

+

0

.

¯¯¯¯

24

)

−

(

3

+

0

.

¯¯¯¯

24

)

(

100

−

1

)

x

=

324

+

0

.

¯¯¯¯

24

−

3

−

0

.

¯¯¯¯

24

99

x

=

(

324

−

3

)

+

(

0

.

¯¯¯¯

24

−

0

.

¯¯¯¯

24

)

99

x

=

321

+

0

99

x

=

321

99

x

99

=

321

99

99

x

99

=

3

×

107

3

×

33

x

=

3

×

107

3

×

33

x

=

107

33

Now, we can convert this improper fraction to a mixed number:

x

=

107

33

=

99

+

8

33

=

99

33

+

8

33

=

3

+

8

33

=

3

8

33

3

.

¯¯¯¯

24

=

3

8

33

You might be interested in
X-5=7 <br>X-8=20<br>X+2=-1<br>X-9=12<br>X+-6=-7<br>X-8=-3<br>-7-X=-9<br><br>HELPPP MEE!!​
Gnom [1K]

Answer:

look below

Step-by-step explanation:

x - 5 = 7

x = 12

.................

x - 8 = 20

x = 28

.................

x + 2 = -1

x = -3

................

x - 9 = 12

x = 21

...............

x + -6 = -7

x = -1

.................

x - 8 = -3

x = 5

..................

-7 - x = -9

-7 = x - 9

2 = x

8 0
3 years ago
The side length of one of the pentagons
rosijanka [135]

Answer: 6.9 and 10.4

Step-by-step explanation:

The perimeter of the pentagon is 10 so you can either do 10 times 1.38 times 1/2 or do 5 times 1.38 and it equals 6.9

The perimeter of the hexagon is 12 and you follow the same steps so I did 6 times 1.73 and you get 10.4

4 0
3 years ago
Read 2 more answers
How can I describe an angle's measure. PLEASE HELP ASAP
Mariana [72]
<span>I answered your question.</span>


Place the midpoint of the protractor on the VERTEX of the angle.Line up one side of the angle with the zero line of the protractor (where you see the number 0).Read the degrees where the other side crosses the number scale.
7 0
3 years ago
Find all solutions to the equation. -\dfrac{2}{x(x+2)}=\dfrac{x+3}{x+2}− x(x+2) 2 ​ = x+2 x+3 ​ minus, start fraction, 2, divide
Gnoma [55]

Answer:

x=-1

Step-by-step explanation:

We have been given an equation \frac{-2}{x(x+2)}=\frac{x+3}{x+2}. We are asked to find the solutions of our given equation.

First of all, we will cross multiply our given equation as:

-2(x+2)=x(x+2)(x+3)

Subtract x(x+2)(x+3) from both sides:

-2(x+2)-x(x+2)(x+3)=x(x+2)(x+3)-x(x+2)(x+3)

-2(x+2)-x(x+2)(x+3)=0

Now we will factor out (x+2).

(x+2)(-2-x(x+3))=0

(x+2)(-2-x^2-3x)=0

(x+2)(-(x^2+3x+2))=0

Now we will factor by splitting the middle term.

-(x+2)(x^2+2x+x+2)=0

-(x+2)(x+2)(x+1)=0

-(x+2)^2(x+1)=0

Now we will use zero product property and solve for x as:

-(x+2)^2=0,(x+1)=0

(x+2)=0,(x+1)=0

x=-2,x=-1

Now, we will check for extraneous solutions.

We can see that x=-2 will make both denominators zero because our function is not defined at  x=-2.

Therefore, the solution for our given equation is x=-1.

7 0
4 years ago
Read 2 more answers
A rectangular prism-shaped fish tank is 14 inches tall. The base of the tank has a length of 36
AURORKA [14]

Answer:

6048 in     221225582592 in3

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • If c= dand b* 0, then /b= d/b represents the property of equality.
    6·2 answers
  • There’s a problem with chair B. In order to fix it, the mechanics need to know the angle formed at the center of the ferris whee
    5·1 answer
  • Natalia begins to find the mean absolute deviation of this data set. She finds the mean of the data and then finds the distance
    7·2 answers
  • What is the GCF of 36 42 78
    9·2 answers
  • The shortest side of a triangle measures 15 inches less than the longest side. If the third side is 2 inches shorter than the lo
    15·1 answer
  • Factor 144x2+312x+169,
    14·1 answer
  • I took a picture of the problem.​
    11·1 answer
  • Pat's English class is located in the same quadrant as the gym. Which of the following could be the coordinates of the English c
    7·1 answer
  • A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
    15·1 answer
  • 0.6(10n+25)=10+5n<br><br> Solve
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!