Find the difference between 3 1/12 and 2 1/6. Leave your answer as a proper fraction or mixed number.

Answers

Answer 1

Answer:

[tex]\frac{8}{6}=1\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{2}-2\frac{1}{6}[/tex]  Fractions cannot be added or subtracted unless they have the same denominator (bottom number)

[tex]\frac{7}{2}-\frac{13}{6}[/tex]     Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])

[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex]   In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction  top and bottom by 3.

[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex]   This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.

[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex]   [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]


Related Questions

Solve for x pls help i don’t wanna fail :) if u don’t that’s fine

Answers

[tex]\huge\frak{Answer:-}[/tex]

[tex](8x - 8) + {100}^{\degree} = {180}^{\degree} [/tex]

[tex]\implies8x - 8 = 180 - 100[/tex]

[tex]\implies8x - 8 = 80[/tex]

[tex]\implies8x = 80 + 8[/tex]

[tex]\implies8x = 88[/tex]

[tex]\implies x = \frac{88}{8} [/tex]

[tex]\implies x = 11 \: (a)[/tex]

Why did we used the equation "(8x - 8) + 100° = 180°" to find x?

Because, sum of interior angle in the same side of two parallel lines are always equal to 180°.

Don't forget to give the "°" symbol ;)

Find the area of a square is 12cm find the length​

Answers

Answer:

The length would be l=3.46

Step-by-step explanation:

Find the 89th term of the arithmetic sequence
-13, -8, -3

Answers

Answer:

427

Step-by-step explanation:

first you have to find the difference between -13 and -8 so we do -13 minus -8 which gives us -13 +8 which is -5. so -13+5=-8 then we try plugging in 5 to the next two numbers -8+5=-3 so the pattern is +5 so now we can do 5*88=440 so now we do -13+440=427

Describe the likelihood that a point chosen inside the circle will also be inside the hexagon?

Answers

Answer: likely

Step-by-step explanation:

B) Likely

Step-by-step explanation:

i just just answered the question on e d g e n u i t y

i hope this helps <3

The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X), the expected value of the distribution.

Answers

Answer:

The expected value of the distribution is 7.

Step-by-step explanation:

The random variable X is known to be uniformly distributed between 2 and 12.

The probability density function of X is:

[tex]f_{X}(x)=\frac{1}{b-a};\ a<X<b[/tex]

Here a = 2 and b and 12.

Compute the expected value of the distribution as follows:

[tex]E(X)=\frac{a+b}{2}[/tex]

         [tex]=\frac{2+12}{2}\\\\=\frac{14}{2}\\\\=7[/tex]

Thus, the expected value of the distribution is 7.

State if the triangles in each pair are similar. If so, state how you know they are similar.

Answers

Answer:

A) similar; SAS similarity.

Step-by-step explanation:

SAS Triangle Similarity

The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5

Sides JK and BC have a ratio of 81/18 = 4.5

Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.

A) similar; SAS similarity.

EAST MATH PLS HELP ASAP PLEASE PLEASE
If one side of a square is represented by x + 7, and the perimeter of the square is
represented by 8x - 20, what is the value of X?

Answers

4(x+7)=8x-20

4x+28=8x-20

28=4x-20

48=4x

x=12

El 5% de los focos producidos por una fabrica son defectuosos. Al extraer una muestra de 6 focos. ¿Cual es la probabilidad de que menos de 3 focos sean defectuosos?​

Answers

Answer:

3/10 no estoy segura pero creo que es esto

Anyone know the answers to this ?

Answers

Answer:

True False True

Step-by-step explanation:

ope this helps! :)

Brainliest pls?

help pls! thank u! <3

Answers

Answer:

she completed 29  

Step-by-step explanation:

if she completed 8 in 6 she made 2  more so you add 2 to the 27 which is 29 hope that is the answer

QUESTION: Determine if the statement is true or false? if false give an counterexample.

How is it true and false? can you help me please? Log*(f)4(3d)+log*(4)(3d)

the *() means its the base and below the log. Please help :)

oh my please its due in a few minutes certain answers only and please explain how its correct or I will bawl my eyes out...... (>^.^>) Thank you in advance.

PLEASEEEEEEEEEEEEEE NO FAKE ANSWERS OR YOU GET NO BRAIN CROWN AND REPORTED EXPLAIN PLEASE DUE IN FEW MINUTES :)))

Answers

Answer:

False

Step-by-step explanation:

Actual question is:

logf 4(3d) + log4 1 = log4 3d

Solution:

logf 4 + logf (3d)  + 0 = log4 (3d)logf 4 + logf (3d) = log4 (3d)

If we assume f = 4, then

log4 4 + log4 (3d) = log4 (3d)log4 4 = 0

but log4 4 = 1

1 = 0 is impossible

Therefore the statement is False

How many filled sandwich cookies would you need to reach of 1700 mm if you only had one top of the cookie, the stuffing and one bottom of the cookie? Height of top of cookie 3.5 mm height of stuffing 2 mm and height of bottom of cookie 3.5 mm

Answers

Answer:

??

Step-by-step explanation:

Beth is making a rope ladder each step of the ladder is 2 1/3 feet wide width as a rope that is 21 feet long how many steps can she make from the rope

Answers

Answer:

Answer: She can make 9 steps from the rope.

Step-by-step explanation:

Given : The width of each step of the ladder = 2\dfrac{1}{3}\text{ feet}2

3

1

feet = \dfrac{2(3)+1}{3}=\dfrac{7}{3}\text{ feet}

3

2(3)+1

=

3

7

feet

The length of the rope = 21 feet

Then , the number of required steps = ( length of the rope ) ÷ (width of each step of the ladder)

=21\div\dfrac{7}{3}=21÷

3

7

=21\times\dfrac{3}{7}=3\times3=9=21×

7

3

=3×3=9

Hence, the number of steps can she make from the rope = 9.

what is the quotient of -45/-5

Answers

Answer:-9

Step-by-step explanation:

-9

Answer:-45 -5

Step-by-step explanation:

A newspaper ran a story concerning the increasing prices of mobile phones. The story stated that mobile phone prices dropped a few years ago, but now are beginning to increase in price because of added features.
• According to the story, the average price of all mobile phones a few years ago was £215.
• A large random sample of mobile phones (n = 200) was taken, and their prices recorded.
• We wish to use a hypothesis test to determine if the average price of all mobile phones is now greater than £215.
Required: Define the hypotheses, and with reference to the applicable random variable distribution, find the rejection region appropriate for this test if we are using the significance level α = 0.05.

Answers

Answer:

H0 : μ = 215

H1 : μ > 215

Rejection region :

Zstatistic > Z0.05

Step-by-step explanation:

Given that:

Average price of all mobile phones was £215

Sample size = 200

Significance level (α) = 0.05

To determine if the average price of all mobile phones is now greater than £215

The Null hypothesis (H0) :

H0 : μ = 215

Alternative hypothesis (H1) :

H1 : μ > 215

The rejection region :

|Zstatistic > Zα|

α = 0.05 ; Z0.05

Rejection region :

Zstatistic > Z0.05

A grocery sells green apples and red apples. On Monday, the store put 500 of each kind of apple on display. That day, the store sold 42 red apples and 57 green apples. On Tuesday, the store sold 87 red apples and 75 green apples. On Wednesday, the store sold 29 red apples and 38 green apples. a. Write an addition expression using negative integers and find the number of red apples the store sold.

Answers

Answer:

342 red apples

Step-by-step explanation:

42+87+29=158

500-158=342

Answer:

342

Step-by-step explanation:

i took  the quiz on brainly and got a 100% Hope this helps

I need help with this ​

Answers

Answer:

i know 4 is scalene

not sure about 3

I think the answer is also 3

What is the measure of angle f?

Answers

Answer:

130 fj is a little bit of a good job for the first time in a new generation of companies in a little

Step-by-step explanation:

its 130 inches tall and a good job to do with my first day of work at a time when the first thing you can get to the point where

What's the equation of a horizontal line through the point (4,-6)

Answers

y=-6 would be one equation

Solve for x.
14 = 28 + 7x

Answers

Answer:

X = 2

Step-by-step explanation:

14= 28 + 7x

28 - 14 = 7x

14 = 7x

14 / 7

2 = x

Answer:

x  =  − 2

Step-by-step explanation:

Every year on November 1, the Stablo family plants a tree. This tradition has
happened for generations and the first tree the family planted is now 183 years
old. Two of the trees were planted in their backyard; one is an apple tree and the
other is a maple tree. The maple tree is older than 100, but was not the first tree
planted. On November 1 of this year, the age of the maple tree is fifteen times
the age of the apple tree.
On November 1 of some year from now, the age of the maple tree will be eleven
times the age of the apple tree. How old are the trees that year?

Answers

Answer:

64

Step-by-step explanation:

rff

name the segment in the scaled copy that corresponds to segment AD

Answers

Answer:

Give diagram please?.

Step-by-step explanation:

???

I need a diagram to answer. Or at least the answer choices.

Write the number, (2 × 10) + (9 × 1) + (7 × 1/10) + (8 x 1/1,000) in standard form

Answers

Answer:

The number is 209.708

Step-by-step explanation:

IT'S ON KHAN

Answer:

the answer is 209.708

Step-by-step explanation:

Whenever u see something like 1/1,000, that means is a decimal

So the answer is simple

2 x 10 =20

9 x 1= 9

then u got the decimal

.708

so, the answer is 209.708

hope it helps :)

The pumpkin patch had two corn mazes, as shown by the shaded and non-shaded sections in the model below.

A model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres.

Which expression is shown by the model?

Answers

Answer :

D - 28 + 14 = 7(4+2)

If cosθ=3/5, find tanθ

Answers

Answer and step-by-step explanation:

cos = adj/hyp (in a right triangle)

cos0 = 3/5

adj = 3

hyp = 5

opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)

tan0 = opp/adj = 4/3

Answer:

[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]

Step-by-step explanation:

Cosine is equal to adjacent over hypotenuse.

cos(x)=adjacent/hypotenuse

We are given: cosθ=3/5

Therefore, the adjacent is 3 and the hypotenuse is 5.

We want to find tanθ. Tangent is equal to opposite over adjacent.

We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

The hypotenuse (c) is 5.

[tex]a^2+b^2=5^2[/tex]

One leg (a) is 3, the other (b) is unknown.

[tex]3^2+b^2=5^2[/tex]

Evaluate all the exponents.

[tex]9+b^2=25[/tex]

Subtract 9 from both sides of the equation.

[tex]9-9+b^2=25-9[/tex]

[tex]b^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{b^2} =\sqrt{16}[/tex]

[tex]b=4[/tex]

Now we know the "opposite" is 4. We can find the tangent now.

[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)

[tex]tan( \theta)=4/3[/tex]

The tangent of theta is 4/3

1. Approximately what was the total expenditure on entertainment if separated amount of $11,406.30, $1,669.72, $2,506.81 and $1,930.20 were spent?

Answers

Answer:

The approximate expenditure spent on entertainment is $17,513

Step-by-step explanation:

To get the total entertainment expenditure, we simply add up all these values

We have;

11,406.30 + 1669.72 + 2506.81 + 1930.20 = 17,513.03

The total expenditure spent on entertainment is approximately $17,513

Express rational numbers in reduced form for 27/36

Answers

Answer:

3\4

Step-by-step explanation:

hihihihihihihihihihi

Hermina cut a ft by ft piece of plywood down the diagonal.

A rectangle is 4 feet wide and 8 feet long. A diagonal cut is shown with a line labeled c. The cut divides the rectangle in half and creates two right triangles. The hypotenuse of each right triangle is the line labeled c.

What is the length c of the cut, in feet?

Answers

Answer:

[tex]\sqrt{80} = c[/tex] is the answer.

Step-by-step explanation:

We can solve this using the Pythagorean theorem.

We know we can use the pythagorean theorem because it has a 90 degree angle.

[tex]a^{2}+ b^{2}= c^{2}[/tex]

We are given the sides 4 and 8.

[tex]4^{2} + 8^{2} = c^{2}[/tex]

[tex]80 = c^{2} \\\\\sqrt{80} = c[/tex]

#teamtrees #WAP (Water And Plant)

Answer:

Step-by-step explanation:

80 feet

Which point is located at (Negative 0.5, 0.75)?

Answers

Answer: Is there a graph that goes with it?

Step-by-step explanation:

Answer: There is no graph?

Step-by-step explanation:

HELPP
Whaaaa the slope????

Answers

Answer:Mx +b

Step-by-step explanation:

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Hope this helps

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