What is the sum of 1/8 and (-3/16)

What Is The Sum Of 1/8 And (-3/16)

Answers

Answer 1

Answer:

D, or [tex]\frac{-1}{16}[/tex]

Step-by-step explanation:

To add (or subtract) fractions, you need to have a common denominator.

You might notice that the 16 on the bottom is a multiple of 8.

8*2 as a matter of fact

If we multiply [tex]\frac{1}{8\\}[/tex] by 1, it doesn't do anything, it stays as 1/8

1 is the same thing as [tex]\frac{1}{1}[/tex] and is also the same as [tex]\frac{2}{2}[/tex]

If we multiply [tex]\frac{1}{8}[/tex] by [tex]\frac{2}{2}[/tex], we get a bigger fraction, which is [tex]\frac{2}{16}[/tex]

So, our problem can be re-written as [tex]\frac{2}{16}+(-\frac{3}{16} )[/tex]

To add (or subtract) fractions with common denominators, you keep the common denominator and add (or subtract) the numerator.

[tex]\frac{2}{16}+(-\frac{3}{16})=\frac{2-3}{16}=\frac{-1}{16}[/tex]

The last step is to see if our answer can be reduced.

A fraction can't be reduced if there is a prime number in either the numerator or the denominator.

There is a -1 in the numerator, which is prime, and therefore, the fraction can't be reduced.


Related Questions

Select all intervals in which the function P(t) is decreasing

Answers

Answer:

we conclude that the intervals in which the function P(t) is decreasing are:

x < 13 < x < 4

Step-by-step explanation:

At x< 1, the function P(t) is decreasing

A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xA function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x

From the figure, it is clear that the function seems to be increasing

from (1, 3) and then 4 to onwards.

But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).

Therefore, we conclude that the intervals in which the function P(t) is decreasing are:

x < 13 < x < 4

identify a pair of factors of -35 that has a sum of -2

Answers

Answer:

5, -7

Step-by-step explanation:

Answer:

5 and -7

Step-by-step explanation:

The GCF of 15 and 27

Answers

answer : 3
the greatest common factor of 15 and 27 is 3

If the simple interest on ​$3000 for 3 years is ​$720 ​, then what is the interest​ rate?

Answers

Answer:

8%

Step-by-step explanation:

Starting Principal: $  

3,000.00

Years:    

3

Annual Interest Rate:    

8

%

 

Results

Future Value, using...

 Simple Interest: $  

3,720.00

 Annually Compounded Interest: $  

3,779.14

Which of the following fractions is written in its simplest form? 22/33 18/27 13/25 42/81 please answer soon this was due today

Answers

Answer:

I think its 13/35 it cant be divided

Helppppp meeeee 3/5 Divided by 1/9

Answers

Answer: 5.4  or  5 2/5 Hope this helps have a GREAT night

Step-by-step explanation:

V'W'X'Y' has vertices V^' (-3,2),W^' (5,1),X^' (0,4),and Y'(-2,0). If V'W'X'Y' is the image of VWXY rotated 90° around the origin. What are the coordinates of VWXY (the pre-image).

Answers

Given:

V'W'X'Y' has vertices V'(-3,2), W'(5,1), X'(0,4) and Y'(-2,0).

V'W'X'Y' is the image of VWXY rotated 90° around the origin.

To find:

The coordinates of VWXY (the pre-image).

Solution:

V'W'X'Y' is the image of VWXY rotated 90° around the origin. It means, the figure VWXY is rotated 90° counterclockwise around the origin.

So, if we rotate V'W'X'Y' 90° clockwise around the origin, then we get the original figure VWXY.

If a figure rotated 90° clockwise around the origin, then

[tex](x,y)\to (y,-x)[/tex]

[tex]V'(-3,2)\to V(2,3)[/tex]

[tex]W'(5,1)\to W(1,-5)[/tex]

[tex]X'(0,4)\to X(4,0)[/tex]

[tex]Y'(-2,0)\to Y(0,2)[/tex]

Therefore, the coordinates of preimage are V(2,3), W(1,-5), X(4,0) and Y(0,2).

a shirt was originally marked as $24.95 rings up at the register as 19.96 what is the percent discount on the shirt

Answers

Answer:

The discount is 20% off

hope this helps!

Suppose that Y has density function
f(y) = ky(1 − y) if 0 ≤ y ≤ 1 0, elsewhere
A) Find the value of k that makes f (y) a probability density function.
B) Find P(Y ≤ .4|Y ≤ .8).
C) Find the .95-quantile, i.e., find a point φ.95 such that P(Y ≤ φ.95) = .95.

Answers

I'm assuming

[tex]f(y)=\begin{cases}ky(1-y)&\text{for }0\le y\le1\\0&\text{otherwise}\end{cases}[/tex]

(a) f(x) is a valid probability density function if its integral over the support is 1:

[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=k\int_0^1 y(1-y)\,\mathrm dy=k\int_0^1(y-y^2)\,\mathrm dy=1[/tex]

Compute the integral:

[tex]\displaystyle\int_0^1(y-y^2)\,\mathrm dy=\left(\frac{y^2}2-\frac{y^3}3\right)\bigg|_0^1=\frac12-\frac13=\frac16[/tex]

So we have

k / 6 = 1   →   k = 6

(b) By definition of conditional probability,

P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4 and Y ≤ 0.8) / P(Y ≤ 0.8)

P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4) / P(Y ≤ 0.8)

It makes sense to derive the cumulative distribution function (CDF) for the rest of the problem, since F(y) = P(Y ≤ y).

We have

[tex]\displaystyle F(y)=\int_{-\infty}^y f(t)\,\mathrm dt=\int_0^y6t(1-t)\,\mathrm dt=\begin{cases}0&\text{for }y<0\\3y^2-2y^3&\text{for }0\le y<1\\1&\text{for }y\ge1\end{cases}[/tex]

Then

P(Y ≤ 0.4) = F (0.4) = 0.352

P(Y ≤ 0.8) = F (0.8) = 0.896

and so

P(Y ≤ 0.4 | Y ≤ 0.8) = 0.352 / 0.896 ≈ 0.393

(c) The 0.95 quantile is the value φ such that

P(Y ≤ φ) = 0.95

In terms of the integral definition of the CDF, we have solve for φ such that

[tex]\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=0.95[/tex]

We have

[tex]\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=\int_0^\varphi 6y(1-y)\,\mathrm dy=(3y^2-2y^3)\bigg|_0^\varphi = 0.95[/tex]

which reduces to the cubic

3φ² - 2φ³ = 0.95

Use a calculator to solve this and find that φ ≈ 0.865.

Using probability concepts, it is found that

a) The value is k = 6.

b) P(Y ≤ .4|Y ≤ .8) = 0.554.

c) The 95th percentile is x = 0.86465.

The density function is:

[tex]f(y) = ky(1 - y)[/tex]

Item a:

The condition that makes it a probability density function is:

[tex]\int_0^1 f(y) dy = 1[/tex]

Thus:

[tex]\int_0^1 f(y) dy = \int_0^1 ky - ky^2 dy[/tex]

[tex]\int_0^1 f(y) dy = k(\frac{y^2}{2} - \frac{y^3}{3})|_{y = 0}^{y = 1}[/tex]

[tex]\int_0^1 f(y) dy = k(\frac{1}{2} - \frac{1}{3})[/tex]

Then

[tex]k(\frac{1}{2} - \frac{1}{3}) = 1[/tex]

[tex]k(\frac{3-2}{6}) = 1[/tex]

[tex]k = 6[/tex]

The value is k = 6.

Item b:

This probability is:

[tex]\int_0.4^0.8 f(y) dy = 6(\frac{y^2}{2} - \frac{y^3}{3})|_{y = 0.4}^{y = 0.8}[/tex]

Then

[tex]p = 6\left(\frac{0.8^2}{2} - \frac{0.8^3}{3} - \frac{0.4^2}{2} + \frac{0.4^3}{3}\right)[/tex]

[tex]p = 0.554[/tex]

Thus, P(Y ≤ .4|Y ≤ .8) = 0.554.

Item c:

This is x for which:

[tex]\int_0^x f(y) dy = 0.95[/tex]

Thus:

[tex]6(\frac{x^2}{2} - \frac{x^3}{3}) = 0.95[/tex]

[tex]-2x^3 + 3x^2 - 0.95 = 0[/tex]

Solving a cubic equation with the help of a calculator, and considering [tex]0 \leq x \leq 1[/tex], this is x = 0.86465.

A similar problem is given at https://brainly.com/question/22223588

Give answer please
Water bottles are sold in cases of 24. Select the TWO expressions that can represent the total number of water bottles in c cases
Options:
24 X c,
24 ÷ c,
24 + c,
24 - c,
24c

Answers

24c is the correct answer

Answer:

24c

Step-by-step explanation:

First off, we know what in each case there are 24 bottles. So if we have c crates and want to know the water bottles inside them, we need to multiply 24 by c resulting in 24c or 24 x c.

9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6

Answers

Answer:

x=3.2

Step-by-step explanation:

4(6 – x) + 4 = 2 (3x + 1) – 6

24 - 4x + 4 = 6x + 2 - 6

28 - 4x = 6x -4

-4x - 6x = - 4 - 28

-10x = - 32

divide both sides

x = 16/5 or x = 3.2

hope this helps :)

Can someone help me find the area of the triangle

please!!!

Answers

Answer:

18

Step-by-step explanation:

PLEASE HELP QUICKLY!!!!! PLZZZZZZ!!!!!!!

Answers

(4)=34 (3/2)=67 sorry if I am wrong.

Can you help with these questions please i would appreciate it

Answers

Answer:

[tex]\boxed{k = \frac{log_{e}(\frac{L +A }{A} )}{t} }[/tex]

2. I earned $9. I bought 4 candy bars for $0.85 each. How much money do I
have left? *
A. $5.60
B. $8.15
C. $9.85
D. $12.40

Answers

Answer:

A

Step-by-step explanation:

4 x $0.85= $3.40  

$9-$3.40= $5.60

Answer:

A. $5.60

Step-by-step explanation:

4x0.85 =3.4 and 9 -3.4 = 5.6

help :((
Provide a small explanation if possible!!

Answers

Answer:

r = 24

Step-by-step explanation:

Just reverse everything,

3 x 16 = 48,

48 ÷ 2 = 24,

to double-check,

if you plug in 24 for r then you have,

2(24)/3 = 16

48/3 = 16

16 = 16

Which expression can be used to solve the problem below? On a recent math test,
Jill scored 3 points for each of the 18 multiple choice questions she answered
correctly and 5 points for each of the 6 short response questions she answered
correctly. What was her total score on the test?


1 : 3+16 • 18+6
2 : 3+18 • 5+6
3 : 3 • 5 + 18 • 6
4 : 3 • 18 + 5 • 6

Answers

Answer:

4

Step-by-step explanation:

Because she gets 3 per multiple choice question, so 3 times 18

she gets 5 per response question, so 5 times 6

Jill total score on the test is 3 • 18 + 5 • 6. The correct option is 4.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given;

Jill scored 3 points for each of the 18 multiple choice questions she answered correctly.

That means,

use the multiplication operation,

3 x 18

And 5 points for each of the 6 short response questions she answered correctly.

That means,

5 x 6

To find the total score:

Add the scores,

3 x 18 + 5 x 6

or, 3 • 18 + 5 • 6

Therefore, 3 • 18 + 5 • 6 is the required expression.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

r−5r−6s+8s−15 what is the answer for this equation

Answers

Step-by-step explanation:

r-5r-6s+8s-15

-4r+2s-15

= 2s-4r-15

The simplified form of the given expression is -4r+2s-15.

The given expression is r-5r-6s+8s-15.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be solved as follows:

r-5r-6s+8s-15

= -4r+2s-15

Therefore, the simplified form of the given expression is -4r+2s-15.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

50 POINTS PLS HELP!!!!

Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?

A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.

B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.

C: A segment in the image has the same length as its corresponding segment in the pre-image.

D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.

Answers

Answer:

Answer choice C.

Step-by-step explanation:

What is a secure line of credit?
a. A line of credit offered only to individuals with excellent credit ratings.
b. A line of credit offered to a business or corporation.
c. A line of credit backed by the government.
d. A line of credit backed by collateral.

Answers

Answer:

D. A line of credit backed by collateral.

Step-by-step explanation:

Answer:

D. A line of credit backed by collateral.

Step-by-step explanation:

did the quiz

Simplify the following expression (-8)-(-6)

Answers

first : -(-6) will turn into a positive 6
second: -8+6 which equals -2

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.

How many milliliters are in 3 gallons?

Answers

Answer:11,356

Step-by-step explanation: that is the answer! I’m sure

Answer:11.355

Step-by-step explanation:

Peter collected 171 marbles but lost 3/4 of them on his way home through of hole in his bag when he arrived at home now many marbles did Peter have left?​

Answers

The answers is 43 since 171 divided by 4 is 42.75. So then multiply that by 3. and subtract that from 171. and u get ur answer which is 43

The number of marbles Peter had when he arrived home was 43 marbles

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The number of marbles Peter had on his way home = 171

The amount of marbles he lost on his way home = ( 3/4 ) th

Now , the amount of marbles Peter have left = 1 - amount of marbles he lost on his way home

The amount of marbles Peter have left = 1 - 3/4

                                                                = ( 1 / 4) th

So , The number of marbles Peter had left when he arrived home is =

Amount of marbles Peter have left x Number of marbles Peter had

The number of marbles Peter had left when he arrived home is = (1/4) x 171

= 171 / 4

= 42.75

≈ 43 marbles

Hence , the number of marbles Peter had left when he reached home is 43

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ2

I WILL GIVE BRIANLEIST PLZ SOLVE I WILL ALSO GIVE 800 robux slove for line ad BC = 6 cm

Answers

Answer:

20 to 25 cm. Hope this helps. Tell me if i'm right or wrong. Can I have brainliest if I am right?

Step-by-step explanation:

Answer:

20 to 25 cm give that robux boi

Step-by-step explanation:

To compute a student's Grade Point Average (GPA) for a term, the student's grades for cach course are weighted by the number of credits for the course. Suppose a student had these grades: 3.6 in a 5 credit Math course 2.5 in a 2 credit Music course 3.0 in a 5 credit Chemistry course 3.4 in a 5 credit Journalism course What is the student's GPA for that term? Round to two decimal places. Student's GPA=_________

Answers

Answer:

The student's GPA = 3.24

Step-by-step explanation:

To determine the student's GPA for the term,

First, we will determine the weighted grade points and then divide the result by the total credit.

The weighted grade point is the sum of the grade points in the courses.

Grade point for a course is calculated by multiplying the grade by the course credit.

For the Math course,

Grade point = 3.6 × 5 = 18.0

For the Music course,

Grade point = 2.5 × 2 = 5.0

For the Chemistry course,

Grade point = 3.0 × 5 = 15.0

For the Journalism course,

Grade point = 3.4 × 5 = 17.0

Hence,

The weighted grade point = 18.0 + 5.0 + 15.0 + 17.0

The weighted grade point = 55.0

Total credit = 5 + 2 + 5 + 5 = 17

∴ The student's GPA = 55.0 / 17 = 3.24

Hence, The student's GPA = 3.24

What is the surface area of this rectangular pyramid?
4 mm
5 mm
5 mm
square millimeters

Answers

Answer:

100 mm i think

Step-by-step explanation:

The ratio of girls to boys in the coed soccer league is 3:7. Choose True or
False for each statement.
The ratio of girls to total students in the league is 3:10.
O Truc
False
Next >
Previous

Answers

Answer:

True

Step-by-step explanation:

3:7 is girls to boys, and to find the total, do 7+3. After that, you'd get 10, and the ratio would be 3:10, so TRUE

11. Use matrices to solve the system of equations below. Be sure to show [A] and [B].
(3a + 2b + c = 15
a-b4c = 23
4b – 2c = -16

Answers

Answer:

2a=-16

Step-by-step explanation:

all I could think of

The cost of an item is $0.30 per ounce. If total cost of the item is $3.60, how many ounces are in the item?

Answers

Answer:

Example 1: - If the item's label displays the weight as 3 lb 2 oz, type the shop name and item's brand, enter 3 in the pounds field, leave the 00 (decimal) value unchanged, enter 2 in the ounces field, leave the 00 (decimal) value unchanged, fill out the Price field and Calculate to get the price per ounce

Answer:

12 ounces

Step-by-step explanation:

3.60 = .3x

divide by .3 on both sides

12 = x

it given that f (x) =xsquared 2+3x+2 find f(0) the value of x for which f (x)=0 help me to solve the question pls​

Answers

Answer:

f(x) = 0 on x= -1 and x = -2

Step-by-step explanation:

Given function is:

[tex]f(x) = x^2+3x+2[/tex]

In order to find the value of x on which the function will have value zero we have to factorize the function and find zeroes of the function. The method used will be factorization of polynomial as the function is in polynomial form.

So,

[tex]x^2+3x+2\\=x^2+2x+x+2\\=x(x+2)+1(x+2)\\=(x+1)(x+2)[/tex]

To find the zeroes, putting the function = 0

[tex]f(x) = 0\\(x+1)(x+2) = 0\\x+1 = 0\\x = -1\\x+2 = 0\\x= -2[/tex]

Hence,

f(x) = 0 on x= -1 and x = -2

Other Questions
If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof 72.678 round to nearest whole number A 1,200 kg roller coaster car starts rolling up a slope at a speed of 15 m/s. What is the highest point it could reach? Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation. (5,7) y=2x+5 Question 1: A blocked-off meander eventually becomesA)an oxbow lake.B)part of the stream againC) alluvial fanD)rejuvenated.Question 2: As the velocity of a stream decreases, which transported particle size would settle to the streams bottom first?A) slitB) clayC)pebbleD) sand Refer to Explorations in Literature for the full version of the Four Freedoms Speech by Franklin Delano Roosevelt.Read the sentence from "Four Freedoms Speech."Third, by an impressive expression of the public will and without regard to partisanship, we are committed to the proposition that principles of morality and considerations for our own security will never permit us to acquiesce in a peace dictated by aggressors and sponsored by appeasers.What is the purpose of the sentence?to encourage Americans to think that their nation will always winto assure listeners that Roosevelt understands the opposing viewto convince the audience that fighting dictatorship is the right thing to doto attempt to silence members of Congress who disagree with him Please help:)Ill give brainlest What advantage did General Andrew Jackson's troops have over the British troops at the Battle of New Orleans? Solve: 4x^3+7x^2-5x-6=0 Look at the image and then choose the option to complete sentence with the correct informal, t command.Curvy road on the side of a mountain________ despacio en la curva. (1 point)Group of answer choicesManejaManejasManejesManejo What profession do you want to adopt in future? I am in year 8 and I need to do this in spanish, My info that will help in the spanish thing: my name is NIklas and I was bornd in sweden mom from ukraine and dad from russia. I am 14 and I have a borther that is 15, I live in stokholm. Quesion: Using the knowledge and vocabularies learnt, prepare a write-up to talk about youself in Spanish.Remember to include the followingName, age, nationality, country you live in, family, birth date, likes and dislikes and interests someone, please help worth lots of pointsThe regular price of a swimsuit in the junior department of a store is $54. The store advertises an end-of-season sale at 40% off the regular price of all swimsuits. Two weeks later the store advertises a bonus sale at an additional 1/5 off the end-of-season sale price of all swimsuits. Shannon and Mary decide this is a great time to shop for swimsuits. Shannon figures that the swimsuits are now 60% off the regular price. Mary disagrees, because she figures that the total discount is actually less than 60%. a. What is the cost of a swimsuit during the end-of-season sale? Justify your reasoning using a model. b. What is the cost of a swimsuit during the additional 1/5-off bonus sale? How can you show this with a model? c. Did Shannon or Mary figure the discount correctly? Use a model to explain. answer for a b and c plzzz Choose the correctly spelled words. Choose three answers. A. don't B. dont' C. she'd D. drips's E. we'd A student observers melting crayons. Which of the following describes what they saw? A. A chemical change. B. A physical change. C. A physical property. D. A chemical property Which of these valuable items what is a trade goods during the Shang dynastySilkSteelIvoryIronwork Advocates of the United States' ratification of the Kyoto Protocol argue that: A. as an advanced economy, the United States has the right to protect its domestic industries through immigration restrictions. B. as an industrialized nation, the United States is obligated to reduce its greenhouse gas emissions. C. as a major consumer of goods, the United States should ensure that the labor practices that produce these goods are fair. D. as a Western nation, it is important for the United States to set an example in human rights for other nations. QUESTION 9if a woman who is a carrier for Fragilex syndrome (an X-linked disorder) has children with a man who does not have the disorder, what chance do theirdaughters have of being carriers of FragleseNone50%25%100% when playing the bottle toss game, people have a 12% chance of winning. someone played 25 times. about how many times will he win? Which of the following was a weakness of the Articles of Confederation that led to the writing of the Constitution?