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
kirill [66]
3 years ago
14

1/6+1/2 simplest form

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0
Lowest common denominator-> 6
1/2 multiply both top and bottom by 3 to get it in sixths
1/6+3/6=4/6
4/6 simplifies to 2/3.
2/3 is the simplest form to your question.
You might be interested in
To reduce 16 ounces of a 25% solution of antiseptic to a 10% solution, how much distilled water should a nurse add?
yan [13]

Answer:

24 ounces

Step-by-step explanation:

Here's a more intuitive approach to use here.

You know that your initial solution has a percent concentration, presumably volume by volume, of  

25

%

. This means that any volume of this solution contains  

1

part solute and  

3

parts solvent.

The target solution must have a concentration of  

10

%

, which means that any volume of this solution will contain  

1

part of solute and  

9

parts solvent.

Your starting solution has a volume of  

16

ounces, or  

4

parts, each with a volume of  

4

ounces.

In order to get to a solution that has a total of  

10

parts, you must add  

6

parts of solvent to the initial solution. Since we know that

1 part  

=

4 ounces

it follows that you must add

6

parts

⋅

4 ounces

1

part solvent

=

24 ounces

of distilled water, which is your solvent, to the initial solution.

The target solution will contain  

1

part solute and  

9

parts distilled water for a total of  

10

parts of solution, and hence have a percent concentration of  

10

%

.

7 0
3 years ago
In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
-------\\
c=2a\\
a=a\\
b=5
\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
\\\\\\
a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}
\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
Simplify and evaluate without a calculator. 3*(m-4)-n*(m-4) if m=5 and n=3
Katarina [22]

Answer:

0

Step-by-step explanation:

3*(m-4)-n*(m-4)   m = 5, n = 3

3*(5-4)-3*(5-4)

3*(1)-3*(1)

3-3

0

6 0
2 years ago
Read 2 more answers
In the polynomial below.
algol [13]

Answer:

Step-by-step explanation:uywegfywieflwef

efeerewer

werwer

wer

wer

werwer

tew

rt

3 0
2 years ago
Read 2 more answers
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, the
sleet_krkn [62]

Answer:

70 dolls

Step-by-step explanation:

Hello!

The ratio is 5:2, which are division of  a whole. They can be represented as 5x and 2x.

Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.

Equation:

  • 5x - 15 = 2x + 15

Solve:

  • 5x - 15 = 2x + 15
  • 5x - 30 = 2x
  • 5x = 2x + 30
  • 3x = 30
  • x = 10

So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.

The total sum is 70 dolls.

4 0
2 years ago
Read 2 more answers
Other questions:
  • HELP PLEASE!!!!!!
    15·1 answer
  • What is the missing term that makes these ratios equivalent? 1.5:3, 31.5:____
    13·1 answer
  • QUICK ANSWER PLEASE Evaluate for x = ─ 3 and y = 4. Problem is -1/2(2x-y)
    10·2 answers
  • A psychology test has personality questions numbered 1,2,3, intelligence questions numbered 1,2,3,4, and attitude questions numb
    15·1 answer
  • How do you draw a quadrilateral with 2 sets of parallel lines and no right angels.
    13·2 answers
  • The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
    11·1 answer
  • What’s the area of this circle?
    9·1 answer
  • Evaluate |3x| +4 when x=-5
    9·1 answer
  • A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin
    11·1 answer
  • Need help finding out something, refer to picture
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!