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
LenaWriter [7]
2 years ago
11

X-2/3= 6 1/3 what is the answer??????????

Mathematics
1 answer:
vichka [17]2 years ago
4 0

For this case we must find the solution of the following equation:

x- \frac {2} {3} = 6 \frac {1} {3}

Rewriting the mixed number in the form of improper fraction we have:

x- \frac {2} {3} = \frac {3 * 6 + 1} {3}\\x- \frac {2} {3} = \frac {19} {3}

Add \frac {2} {3} to both sides of the equation:

x = \frac {19} {3} + \frac {2} {3}

We add the fractions with the same denominator:

x = \frac {19 + 2} {3}\\x = \frac {21} {3}\\x = 7

So, the solution is x = 7

Answer:

x = 7

You might be interested in
samantha has 20 marbles paul has m marbles. Of samantha has 6 times as many marbles as paul, write an equation to show how many
Morgarella [4.7K]

Answer:

20 = 6m  or  m = 20/6 = 10/3

Step-by-step explanation:

Let's say Samantha has s marbles and Paul has m marbles.

We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.

Substitute 20 in for s:

20 = 6m

m = 20/6

Thus, the equation is m = 20/6.

<em>~ an aesthetics lover</em>

7 0
3 years ago
Read 2 more answers
The question is given in the picture.
lorasvet [3.4K]
This is a really interesting question! One thing that we can notice right off the bat is that each of the circles has the same amount of area swept out of it - namely, the amount swept out by one of the interior angles of the hexagon. Let’s call that interior angle θ. We know that the amount of area swept out in the circle is proportional to the angle swept out - mathematically

θ/360 = a/A

Where “a” is the area swept out by θ, and A is the area of the whole circle, which, given a radius of r, is πr^2. Substituting this in, we have

θ/360 = a/(πr^2)

Solving for “a”:

a = π(r^2)θ/360

So, we have the formula for the area of one of those sectors; all we need to do now is find θ and multiply our result by 6, since we have 6 circles. We can preempt this but just multiplying both sides of the formula by 6:

6a = 6π(r^2)θ/360

Which simplifies to

6a = π(r^2)θ/60

Now, how do we find θ? Let’s look first at the exterior angles of a hexagon. Imagine if you were taking a walk around a hexagon. At each corner, you turn some angle and keep walking. You make 6 turns in all, and in the end, you find yourself right back at the same place you started; you turned 360 degrees in total. On a regular hexagon, you’d turn by the same angle at each corner, which means that each of the six turns is 360/6 = 60 degrees. Since each interior and exterior angle pair up to make 180 degrees (a straight line), we can simply subtract that exterior angle from 180 to find θ, obtaining an angle of 180 - 60 = 120 degrees.

Finally, we substitute θ into our earlier formula to find that

6a = π(r^2)120/60

Or

6a = 2πr^2

So, the area of all six sectors is 2πr^2, or the area of two circles with radii r.
5 0
3 years ago
Solve 5w^2+25=115, Where w is a real number.
MArishka [77]

Answer:

w=+/-4.24 or whatever could be either since its squared

Step-by-step explanation:

subtract 25 so 5x^2=90. divide by 5 so w^2=18 then square root to get rid of the ^2 so w=+/-4.24

4 0
2 years ago
URGENT PLEASE HELP!!!
ycow [4]
X
x \frac{1}{6}  + 2x \frac{2}{3}
5 0
2 years ago
CAN SOMEONE SOLVE THIS PLEASE<br> −4x−(x−1)=3(x−5)
tatuchka [14]

Answer: x = 2

Hope this helps!

8 0
3 years ago
Read 2 more answers
Other questions:
  • There are 12 pieces of fruit in a bowl and 9 of them are apples. What percentage of the pieces of fruit in the bowl are apples
    10·1 answer
  • a survery asked 200 people which sports they play regularly. it revealed that 30 played tennis, 25 play golf, 40 play softball,
    12·2 answers
  • Hi does anyone know the answer
    9·1 answer
  • Find the circumference of a circle with diameter 3 yd. use the value 3.14 for pie and do not round round the answer I’m looking
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=4%E2%88%9216%C3%B74%2B4%C2%B2" id="TexFormula1" title="4&minus;16&divide;4+4&sup2;" alt="4&min
    7·1 answer
  • Please help as soon as possible! I need to get this done now! Thank you so much
    9·2 answers
  • F(1) = 6 f(n) = f(n – 1) – 5 for integer values of n &gt; 1
    7·1 answer
  • Simone travels 90 miles at an average speed of 40 mph.
    7·1 answer
  • Which of the following residual plots shows a linear model to be a good fit for the data?
    9·1 answer
  • find the number set which satifies each of the problems If 20 is added to the number, the absolute value of the result is 6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!