what's the difference between -1/2 and 1/6

Answers

Answer 1

Answer: -4/6 or -2/3

Step-by-step explanation:

First, you find a common denominator among the fractions, which would be 6.

Convert -1/2 to have 6 as its denominator.

-1/2* 3/3 = -3/6

And then subtract them.

-3/6 - 1/6 = -4/6

-4/6 simplified is -2/3

When you subtract a positive number from a negative number, you are adding their absolute values.


Related Questions

Michael drove 210 miles in 3 1/2. Jordan drove 330 miles in 6 hours. Which is an accurate comparison of the rates at which the two people drove?

Answers

Michael = 210 / 3.5 = 60 miles per hour

Jordan = 330/ 6 =55 miles per hour

Jordan drove 5 miles per hour slower than michael

The line l with equation x - 2y + 2 = 0 crosses the y-axis at the point P. The line
m with equation 3x + y - 15 = 0 crosses the y-axis at the point Q and intersects
l at the point R. Find the area of triangle PQR.​

Answers

Answer:

Area of ΔPQR is 28 units²

Step-by-step explanation:

-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point P( 0, b)

x-2y+2 = 0, subtract x and 2 from both sides

-2y = -x-2, divide by -2 both sides

y= (1/2)x +1 so b=1 and P (0, 1)

-Q  is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point Q( 0, b)

3x +y -15 =0, subtract 3x and add 15 to both sides

y= -3x +15 so b=15 and Q(0,15)

-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15

(1/2)x +1 =  -3x +15, add 3x and subtract1

(1/2) x+3x = 15-1, combine like terms

(7/2)x = 14 , multiply both sides by 2

7x = 28, divide both sides by 7

x= 4

y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)

- the area of ΔPQR is (base *height)/2

base= 15-1= 14

height = 4

A= (14*4)/2 = 14*2 = 28

79
Work out the circumference of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
14 cm

Answers

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

Britany wants to read a book. In her room, she has 5 mysteries, 15 historical fictions, 12 modern fantasies, and 7 blographies.
How many different choices are available?


pleaseee

Answers

Answer:

39

Step-by-step explanation:

5 + 15 + 12 + 7 = 39

Answer:

39

Step-by-step explanation:

5 + 15 = 20, 12 + 7 = 19, 20 + 19 = 39.

Yanni read 24 pages of
a book. 1 of the book is
still left to read. How many
pages are there in the
whole book?

Answers

There are 23 pages left to read

Find the unlabeled side length

Answers

Answer:

hope it helps you.......

Answer:

The unidentified length is 13

Step-by-step explanation:

To solve this we have to use the Pythagorean Theorem

[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\169=c^2\\13=c[/tex]

A trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 18 m long. Water is being pumped into the trough at a rate of 8 m3/min. At what rate (in m/min) does the height of the water change when the water is 2 m deep

Answers

9514 1404 393

Answer:

   5/9 m/min

Step-by-step explanation:

The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:

  2/5 × 2 m = 4/5 m

Then the surface area of the water is ...

  A = LW = (18 m)(4/5 m) = 14.4 m²

The rate of change of height multiplied by the area gives the rate of change of volume:

  8 m³/min = (14.4 m²)(h')

  h' = (8 m³/min)/(14.4 m²) = 5/9 m/min

What is the value of the expression (2x + y) (2x - y) when x = 4 and y = -5?

Answers

Answer:

39

Step-by-step explanation:

1. (2(4)-5)(2(4)+5)

2.(3)(13)

3.39

Answer:

Step-by-step explanation:

This is a difference of squares question. You should 64 = 25 = 39 Let's see if that happens.

Difference of squares

(2x - y) ( 2x + y) = 4x^2 - y^2

4(4)^2 - (5)^2

64 - 25 = 39

Now do the question exactly as it is written.

(2*4 - -5)(2*4 + -5)

(8 +5)(8 - 5)

3 * 13

39

They really do give the same answer.

Find the slope of the line #67

Answers

Vas happenin
Hope your day is going well
The slope form is y2-y1/x2-x1
So I’m going to use (1,1) (-1,4)
Y2= 4
Y1=1
X2= -1
X1= 1
Then you plug in those equations 4-1/ -1 -1
3/-2 that’s the fraction form
The decimal form is -1.5 this is the slope
Hope this helps *smiles*

Male Color Blindness When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness (based on data from the National Institutes of Health).X Px0 0.6591 0.2872 0.0503 0.0044 0.0015 0+In determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

Answers

Answer:

The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.

Step-by-step explanation:

We are given these following probabilities:

[tex]P(X = 0) = 0.6591[/tex]

[tex]P(X = 1) = 0.2872[/tex]

[tex]P(X = 2) = 0.0503[/tex]

[tex]P(X = 3) = 0.0044[/tex]

[tex]P(X = 4) = 0.0015[/tex]

Determine whether a probability distribution is given.

We have to see if the sum of the probabilities of all possible outcomes is 1. So

[tex]0.6591 + 0.2872 + 0.0503 + 0.0044 + 0.0015 = 1.0025[/tex]

The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.

it is found that 4% of watches produced at a particular factory are defective. If 20 watches made at this factory are randomly selected, what is the probbility that at mpst 1 watch in the same sample is found to be defective

Answers

Answer:

0.81 = 81% probability that at most 1 watch in the sample is defective.

Step-by-step explanation:

For each watch, there are only two possible outcomes. Either it is defective, or it is not. The probability of a watch being defective is independent of any other watch, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

4% of watches produced at a particular factory are defective.

This means that [tex]p = 0.04[/tex]

20 watches made at this factory are randomly selected

This means that [tex]n = 20[/tex]

What is the probability that at most 1 watch in the same sample is found to be defective?

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.04)^{0}.(0.96)^{20} = 0.442[/tex]

[tex]P(X = 1) = C_{20,1}.(0.04)^{1}.(0.96)^{19} = 0.368[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.442 + 0.368 = 0.81[/tex]

0.81 = 81% probability that at most 1 watch in the sample is defective.

The wholesale price of 6 oz plastic bottles is 6 cents how many plastic bottles can be purchased for $98.41

Answers

Answer:

1640

Step-by-step explanation:

Take the total amount and divide by the amount for one

Make sure to write 6 cent in dollar form (.06)

98.41 / .06

1640.1666

Round down since we need to buy whole bottles

1640

Which expression is equal to
(3x – 4)(2x – 5)?

Answers

Answer:

6x^2-23x+20

Step-by-step explanation:

i think the expanded form of that equation is equal to it.

(3x-4)(2x-5)

3x(2x-5)-4(2x-5)

6x^2-15x-8x+20

6x^2-23x+20

I hope this helps and sorry if it's wrong

6x^2-23x+20 sorry if it’s wrong I’m not sure

Find the medien: 16,12,10,15,7,9,16

Answers

Answer:

12

Step-by-step explanation:

arrange the numbers in ascending order and cross out from either side till you have a middle line

FINAL ANSWER:

12

Step-by-step explanation:

Median is the middle number in the data set.

so first of ... we need to arrange the group of numbers from lower to greater.

16, 12, 10, 15, 7, 9, 16 ⇒ 7, 9, 10, 12, 15, 16, 16

Now that we have arranged the numbers from least to greatest all we need to do is to find the middle number of the data set (data set? they are the group of numbers)

Ok, so what you want to do here is to just count the numbers until you get to the middle number of the data set...

7, 9, 10, 12, 15, 16, 16

the median in the given data set is 12.

I hope this helps you!!! Let me know if my answer is incorrect or not...

HAVE A GREAT DAY AND GOD BLESS YOU ;)!!!

Can someone please help me?

Answers

you have to read the bottom link for the answer key

Simplify: 3.5 x 10^-2 + 2.3 x 10^-2

Answers

Given:

The given expression is:

[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]

It can be written as:

[tex]=(3.5+2.3)\times 10^{-2}[/tex]

[tex]=5.8\times 10^{-2}[/tex]

Therefore, the simplified form of the given expression is [tex]5.8\times 10^{-2}[/tex].

Find the area of a circle having a radius of 9 cm

Answers

Answer:

81 pi cm^2

or approximately 254.34 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (9)^2

A = 81 pi

Using 3.14 as an approximation for pi

A = 81 (3.14)

A =254.34 cm^2

Answer:

81pi cm^2

Step-by-step explanation:

formula : pi*r^2

pi*9^2

pi*81

Which of the following is the point and slope of the equation y + 14 = 7(x - 18)?

Answers

Answer:

y = 7x - 140

The slope is 7

The y-intersept is -140

= (7, -140)

Step-by-step explanation:

y + 14 = 7(x - 18)

y + 14 = 7x - 126

y =7x - 126 - 14

y = 7x - 140

A survey of households in a small town showed that in 850 of 1,200 sampled households, at least one member attended a town meeting during the year. Using the 99% level of confidence, what is the confidence interval for the proportion of households represented at a town meeting?

Answers

Answer:

Hence the confidence interval is ( 0.6745, 0.7422).

Step-by-step explanation:

Now the given are  

Sample size = n = 1200  

x = 850  

Sample proportion is  

[tex]\hat{p}=\frac{x}{n}=\frac{850}{1200}=0.7083[/tex]  

We have to construct 99% confidence interval for the population proportion.  

Formula Used:  

[tex](\hat{p}-E , \hat{p}+E)[/tex]  

Here E is a margin of error.  

[tex]E =Zc\times\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]  

Zc = 2.58  

[tex]E =2.58\times\sqrt{\frac{0.7083*(1-0.7083)}{1200}}\\\\E=2.58\times\sqrt{0.000172}=0.0339[/tex]  

So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)

                                            = ( 0.6745 , 0.7422).

At a high school basketball game the Lions and the Eagles are playing. The Lions attempted 16 free throws and made 10, attempted 50 two-point shots and made 25, and attempted 16 three-point shots and made 12. The Eagles attempted 27 free throws and made 10, attempted 44 two-point shots and made 9, and attempted 17 three-point shots and made 12. (Free throws are worth 1 point each, two-point shots worth 2 points each, and three-point shots worth 3 points each)

Required:
a. What is the free throw percentage for the Lions?
b. What is the free throw percentage for the Eagles?
c. What is the field goal percentage (two-point and three-point shots combined) for the Lions?
d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles?
e. How many points did the Lions score?
f. How many points did the Eagles score?
g. Which team won the basketball game?

Answers

Answer:

a. The free throw percentage for the Lions is of 62.5%.

b. The free throw percentage for the Eagles was of 37.04%.

c. The field goal percentage for the Lions was of 56.01%.

d. The field goal percentage for the Eagles was of 34.43%.

e. The Lions scored 96 points.

f. The Eagles scored 64 points.

g. Lions

Step-by-step explanation:

a. What is the free throw percentage for the Lions?

10 out of 16, so:

10*100%/16 = 62.5%.

The free throw percentage for the Lions is of 62.5%.

b. What is the free throw percentage for the Eagles?

10 out of 27, so:

10*100%/27 = 37.04%

The free throw percentage for the Eagles was of 37.04%.

c. What is the field goal percentage (two-point and three-point shots combined) for the Lions?

25 + 12 = 37 out of 50 + 16 = 66. So

37*100%/66 = 56.01%.

The field goal percentage for the Lions was of 56.01%.

d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles?

9 + 12 = 21 out of 44 + 17 = 61. So

21*100%/61 = 34.43%

The field goal percentage for the Eagles was of 34.43%.

e. How many points did the Lions score?

10 free throws, 25 two's and 12 three's. So

[tex]10 + 25*2 + 12*3 = 96[/tex]

The Lions scored 96 points.

f. How many points did the Eagles score?

10 free throws, 9 two's and 12 three's. So

[tex]10 + 9*2 + 12*3 = 64[/tex]

The Eagles scored 64 points.

g. Which team won the basketball game?

The Lions scored more points, so they won.

Answer:

avaavavavavav

Step-by-step explanation:

Select the correct answer.
Which is the minimum or maximum value of the given function?
dndnsn

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the function is not given. So, I will make an assumption.

A quadratic function is represented as:

[tex]f(x) = ax^2 + bx + c[/tex]

If [tex]a > 0[/tex], then the function has a minimum x value

E.g. [tex]f(x) = 4x^2 - 5x + 8[/tex] ------ [tex]4 > 0[/tex]

Else, then the function has a maximum x value

E.g. [tex]f(x)= -4x^2 -5x + 8[/tex] ---- [tex]-4 < 0[/tex]

The maximum or minimum x value is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

For instance, the maximum of [tex]f(x)= -4x^2 -5x + 8[/tex] is:

[tex]x = -\frac{-5}{2*-4}[/tex]

[tex]x = -\frac{5}{8}[/tex]

So, the maximum of the function is:

[tex]f(x)= -4x^2 -5x + 8[/tex]

[tex]f(-\frac{5}{8}) = -4 * (-\frac{5}{8})^2 - 5 *(-\frac{5}{8}) +8[/tex]

[tex]f(-\frac{5}{8}) = 9.5625[/tex]

HELPPPP

what is this

Answers

Answer:

Pls be specific with your question

Find the range from the ordered pair {(1, 2), (2, 3), (3, 4), (4, 5)}

Answers

Answer:

Range { 2,3,4,5}

Step-by-step explanation:

The range is the output values

Range { 2,3,4,5}

57 117find x triangle ​

Answers

Answer:

60

Step-by-step explanation:

x = 180 - [ 57 + ( 180 - 117 ) ]

= 180 - [ 57 + 63 ]

= 180 - 120

x = 60

What is the solution to the inequality -6+|2p+3| > 7

Answers

Step-by-step explanation:

you're going to have to set up two expressions since it's an absolute value problem

Find the area of athletic field if it's length is 120cm and its width is 28cm .A. 397.6cm B. 3360cm C. 296 cm D. 4592cm E. 3356cm​

Answers

Answer:

B 3360

Step-by-step explanation:

Area of Rectangle = Length X Width

120 X 28

= 3360 cm

Answered by Gauthmath

Identify the constant of proportionality from the table.
х у
2 18
5 45
7
63
8 72
A. 18
B.
C. 9
0 D. 2
< PREVIOUS

Answers

The Correct answer is C (9)

Find the surface of the figure round your answer to the nearest tenth if necessary

Answers

9514 1404 393

Answer:

  192 cm²

Step-by-step explanation:

The total surface area is the sum of the two triangular base areas and the three rectangular lateral face areas.

  SA = 2(1/2)(6 cm)(8 cm) + (6 cm +8 cm +10 cm)(6 cm) = 192 cm²

The surface area of the figure is 192 square centimeters.

What is the volume of a calculate the total surface area of a cuboid with the following dimensions (4m by 6m by 8m)​

Answers

Answer:

V =192 m^3

Step-by-step explanation:

The volume of a cuboid is

V = l*w*h  where l is length w is width and h is height

V = 4*6*8

V =192 m^3

HELPPP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.

Answers

Step-by-step explanation:

Count the number of times you have to move the decimal point to the right until it is to the right of the 1st nonzero number.

a) You have to move the decimal point 11 times until it gets to the right of the 1st nonzero number, which is 7. You then rewrite this number as

[tex]7.2×10^{-11}[/tex]

The exponent of 10 is a negative number because you moved the decimal point to the right.

b) Similarly, you have to move the point 9 times to the right so the answer is

[tex]9.5×10^{-9}[/tex]

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In the small country of Economerica, there are 6 thousand people employed, 1 thousand people unemployed, and 3 thousand people of working age not included in the labor force. One thousand students graduate from the university and seek jobs in the country, but not one graduate is able to find one. Half of the new graduates believe there is no chance of finding a job and return home to live with their parents. Ceteris Paribus, what would the new unemployment rate be in Economerica?A. 14.29%B. 20.00%C. 25.00%D. 45.45% Moly completes 3/10 of her science project in 4/5 hour 12. What is the most popular drink in the United Kingdom? What is the slope of a roof on a house that has a vertical height of 2.4 feet from the ceiling of the top floor to the top of the pitch and a length of 8.2 feet from the center of the edge of the house? Need help with correcting:I needed to answer this sentence into spanish. My teacher has returned the assignment about 10 times and I give up :)6. Clean the house: my answer: Limpiar la casa. teachers message: Limpiar is the infinitive. What is the command form of this verb? Which of these is an example of hanging out?A. Surfing the Internet for information about game websitesB. Making and sending out your own original music videoC. Sending your friend an email with a link to a new music clipD. Playing an adventure game with people all over the globe 5. Describe three ways that music can be used in television. (6 points) Refer to the supply and demand data for a certain elective surgical procedure. Without health insurance, the equilibrium price and quantity would be: Group of answer choices $3,000 and 7,000. $2,000 and 11,000. $5,000 and 2,000. $4,000 and 4,000. find all the missing measurement At the end of the current year, using the aging of receivable method, management estimated that $31,500 of the accounts receivable balance would be uncollectible. Prior to any year-end adjustments, the Allowance for Doubtful Accounts had a debit balance of $900. What adjusting entry should the company make at the end of the current year to record its estimated bad debts expense? g An aqueous solution of nitric acid is standardized by titration with a 0.137 M solution of calcium hydroxide. If 19.0 mL of base are required to neutralize 21.8 mL of the acid, what is the molarity of the nitric acid solution Which expressions are equivalent to 6 + 12x? A.5(1 + 2x) + 1 + 2x B. 7(1 + 2x) + 2x - 1 C. 3(2 + 6x) + 2x D. 7(1 + 2x) - 2x - 1 E. 3(2 + 4x) The area of a square of side X is 8. What's the area of a square of side 3x As gamers progress through a video game, they earn a higher rank. In an online gaming network, gamers can see what fraction of the way theyare to the next rank. The line plot displays the fraction of the way to the next rank for all the gamers in the network. What fraction of gamershave bof the way to go to the next rank?Gamers Progress to Next RankNumberofGamersFraction of Progress to Next LevelAA.c.) match the polynomial with its correct name Find the length of the arc. Use 3.14 for the value of . Round your answer to the nearest tenth. Enter your answer and also show your work to demonstrate how you determined youranswer. Which sentences in the list below demonstrate correct use ofcommas?Patty's new husband, Joe, is a mechanic who teaches at my school,Out of six cousins, my cousin Jesse is the only one who wants to become an engineerCousin Estella, who has blue hair, loves to rebuild old cars.Among the 25 students in my home economics class, only my classmate, Cassie, actually knows howto cookThe auto shop class, that meets in the afternoon, rebuilt a roadster last year, this year, the morningclass will rebuild a motorcycle HELP I NEED HELP!! I WILL GIVE BRAINLIEST TO THE RIGHT ANSWERS coal is a -------- enegy ASAP HELP PLS NO WRONG ANSWERS------------