The sum of two rational numbers is −3/5 . If one of them is −9/20, find the other.

Answers

Answer 1

Answer:

-3/20

Step-by-step explanation:

Let other number = x

∴ -9/20 + x = -3/5

∴ x = -3/5 + 9/20

∴ x = -3/20

Hope this helps  :) !!!!

Answer 2

Answer:

[tex]-\frac{3}{20}[/tex]

Step-by-step explanation:

GIVEN :-

One of the two rational numbers = [tex]-\frac{9}{20}[/tex]  

TO FIND :-

Sum of two rational numbers = [tex]-\frac{3}{5}[/tex]

SOLUTION :-

Let the another rational number be 'x'.

According to the question , the equation formed will look like this :-

[tex]x + (-\frac{9}{20} ) = -\frac{3}{5}[/tex]

[tex]=> x - \frac{9}{20} = -\frac{3}{5}[/tex]

Now solve the equation.

Add  [tex]\frac{9}{20}[/tex] to both the sides of equation in order to isolate 'x'.

[tex]=> x - \frac{9}{20} + \frac{9}{20} = -\frac{3}{5} + \frac{9}{20}[/tex]

[tex]=> x = \frac{9}{20} - \frac{3}{5} = \frac{9 - (3 \times 4)}{20} = \frac{9 - 12}{20} = \frac{-3}{20}[/tex]


Related Questions

Name that Circle Part!
Directions: Use the diagram to classify each circle part by clicking on, copy (ctrl+c) and pasting (ctrl+v) then dragging the appropriate part. Parts may be used more than once.

Answers

Answer:

Good luck

Step-by-step explanation:

Sorry I don´t understasnd

The circle parts with overline over them is line segment, such as LQ, the parts with angle sign are angle and part with curve over them is chord.

What are the Circle Parts?

There are different parts of circle such as chord, radius, diameter, central angle, circumference etc.

In this provided problem, we have to name all the part of the circle shown in the figure.

In the figure,

P and X are the center.PN, PM, PQ are the radius of first circle and XR, XU, XY  are the radius of second circle.MQ, QR, RN, NM are the chord of first circle and YW, WR, RU, UY are the chord of second circle.LM and UY are the secant and LQ is tangent.

Thus, the circle parts with overline over them is line segment, such as LQ, the parts with angle sign are angle and part with curve over them is chord.

Learn more about the circle here;

https://brainly.com/question/14068861

#SPJ2

If you can help me with these 4 questions I'll give brainliest :))​

Answers

Answer:

Mode: 86 ( a number that's repeated the most in the data set)

Range: 47 (Largest number subtracted by the smallest number in the data set)

Median: 56 (Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers)

Mean: 61 (The mean of a set of numbers is the sum divided by the number of terms).

Hope this helps!

point a is located at 18 on the number line. point b is located at -14 on the number line.

what is the distance between point a and point b on the number line?

Answers

The distance is 32 to get the answer just add them both together since one is negotiable plz give me brainliest answer

The distance is 32 to get the answer just add them both together since one is negotiable .

We have given that,

point a is located at 18 on the number line. point b is located at -14 on the number line.

We have to determine the distance between point a and point b on the number line.

What is the number line?

A number line is a horizontal straight line with numbers placed at equal distances from each other along that line. Some will have a specified starting

The distance is 32 to get the answer just add them both together since one is negotiable .

To learn more about the number line visit:

https://brainly.com/question/24644930

#SPJ2

The table includes the size of roofs (x) and the cost to replace them (y). The summary points are (748, 7,048), (890, 8,385), and (1,001, 8,475).
Using approximate values for the slope and y-intercept, what is the linear model?
y =
A. 0.8
B. 5.6
C. 9.4

x +
A. -299.2
B. 3,043.2
C. 7,265.4

Answers

Answer:

5.6 and 3,043.2

Step-by-step explanation:

-5 1/4 - (-7 1/2)

A) -12 3/4
B) 2 1/4
C) -2 1/4
D)2 3/4

Answers

Answer:

2 1/4

Step-by-step explanation:

-5 1/4 - (-7 1/2)

Subtracting a negative is like adding

-5 1/4 + (7 1/2)

Get a common denominator

-5 1/4 + (7 1/2 *2/2)

-5 1/4 + (7 2/4)

Since the signs are different, we subtract the smaller from the larger and take the sign of the larger

7 2/4 - 5 1/4

2 1/4

Answer:

B) 2 1/4 or 9/4

Step-by-step explanation:

-5 1/4=-21/4

-7 1/2=-15/2

------------------

-21/4+15/2

-21/4+30/4

9/4

A bag contains 12 colored marbles. Dan drew a single marble from the bag 25 times, replacing the marble each time. He recorded drawing a red marble 9 times, a yellow marble 6 times, a blue marble 4 times, and a green marble 6 times. Based on these results, what is a reasonable conclusion about the makeup of the marbles in the bag?
Select one:

more red marbles than blue marbles

no white marbles

an equal number of yellow and blue marbles

more green marbles than red marbles

Answers

Answer:

more red marbles than blue marbles

no white marbles

hope it is helpful to you

100 Points!!!!! PLEASE HELP. Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

2. Translate the new algebraic expression you created in Question 1 to a verbal expression.

Part 2: Writing Equivalent Expressions

3. You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.

a. Use either the commutative property or combine like terms to create an equivalent expression.

b. Use the distributive property to create an equivalent expression.

4. Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.

Part 3: Finish the Story

5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Step-by-step explanation:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Your expression is good.

Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.

Skuttle offered to pay his sister Izzy $25 for every four-leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will overall make more money together.

Your verbal expression is good. It reflects your chosen equation.

Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.

Using commutative property of addition, the expression in question 1 can be rewritten as follows:



Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:



Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.


Part 3: Finish the Story

Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Answers

Answer:

Step-by-step explanation:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Your expression is good.

Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.  

Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.

Your verbal expression is good. It refrects your chosen equation.

Part 2: Writing Equivalent Expressions

Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.

Using commutative property of addition, the expression in question 1 can be rewritten as follows:

25(10j + 18 + 5j) = 25(10j + 5j + 18)

Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:

25(10j + 18 + 5j) = 250j + 450 + 125j

Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.

Now we can subsitute, say 7 for j.

For the first expression, we have:

25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)

= 25(70 + 35 + 18) = 25(123) = 3,075.

For the second expression, we have:

250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.

Thus, we can see that both expressions are equivalent.

Part 3: Finish the Story

Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Sarah found 3 + 7 = 10 shark teeth.

John found 10 / 2 = 5 shark teeth.

The total money they earned is $5 x 15 = $75.

1) an expression that looks similar would be (could be anything)

4(5j+8+4j)

2) It would become:

four times the sum of five times a number, eight, and four times the same number

3)  equivalents would be 4(9j+8)

or:

4(5j)+4(8)+4(4j)

4) say J=1 for simplicity

4(9+8)

=4x17

=68

next one would be:

4x5+4x8+4x4

=20+32+16

=68

ok, this is correct.

5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.

Step-by-step explanation:

Given the system of equations, what is the solution?

x + 2y = 7
x - 2y = -1

A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}

Answers

9514 1404 393

Answer:

  C.)  (3, 2)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (x +2y) +(x -2y) = (7) +(-1)

  2x = 6 . . . . . simplify

  x = 3 . . . . . . matches choice C

lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities

Answers

Answer: 19/28

Step-by-step explanation:

9/28 participate, so that means that ? dont participate.

28/28 = 1 whole

28 - 9 = 19

so 19/28 students do not participate in after school activities.

The height , in feet, windowsills in a high-rise building is represented by this sequence: 3,15,27,39,...

Answers

Answer:

Each windowsill goes up by a factor of 12 feet, so the next numbers are 51, 63, 75(feet) and so forth

Step-by-step explanation:

3, 15, 27, 39.....

3+12= 15

15+12= 27

27+12= 39

39+12= 51

51+12= 63

63+ 12= 75

What is the
average rate of change between:
x = 1 and x = 2?
x = 2 and x = 3?
X = 3 and x = 4?

Answers

The average rate of change is 1.

The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a

Answers

Answer:

Step-by-step explanation:

http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf

You can find it in this site

Please help me please

Answers

Answer:

5

Step-by-step explanation:

the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.

if a=1 and b=2 what is the value of a²+b²?​

Answers

Answer:

1^2+2^2=5

Step-by-step explanation:

Answer is 5..

Plz help me well mark brainliest if correct!!.....

Answers

Answer:

1st one

Step-by-step explanation:

because it is

Answer:

Option 1

Step-by-step explanation:

In the first one, the first number is lower than -2, the second is between -1 and 0, and 1+1/6 is of course bigger than 0 and smaller than 1+5/6, so it's the right answer.

The second one is the first one reversed, so it's ordered from greatest to lowest.

The third one has a negative number on both ends, but positives in the middle, so it cannot be ordered lowest to greatest. Same with the last one.


What is the surface area of the
rectangular prism below?

Answers

Answer: 476.88

Step-by-step explanation: length times width times height

Answer:

The answer is 476.88

Step-by-step explanation:

Sketch and Write the Equation

Equation=
Ordered Pair = (-3, 5)
Slope=
y-intercept= - 5

Answers

Answer:

Y = - 5/3 x - 5

Step-by-step explanation:

A quiz has 5 questions with answers that are either true or false. How many different combinations of answers are
possible?
Ο 10
Ο 16
Ο Ο Ο
25
Ο 32

Answers

There would be 32 possible combinations.

Find the total surface area of a sphere radius being 7cm

Answers

Answer:

A≈615.75m²

Step-by-step explanation:

Solution

A=4πr2=4·π·72≈615.75216m²

Hope this helped!!!

Shamus owes his parents $162. He pays them 60% of the $45 he earns as a soccer referee each week. How many weeks will it take Shamus to pay back all of the money he owes his parents?

Answers

60% of 45 would be 27

He pays his parents $27 each week

Divide 162 and 27

162/27=6

It will take 6 weeks for him to pay back his parents

Identify the missing measures

Answers

Answer: The value of the question mark should be 28 Since Angles are vertically Opposite

The angles shown below are supplementary:
What is the value of x?
BRAINLIEST
PLEASE HELP
SHOW WORK

Answers

Step-by-step explanation:

supplentary means they add to 180

so you can make the formula 180 = 10x + 80

then solve for x

Answer:

x = 10

Step-by-step explanation:

Supplementary angles add up to equal 180°

Thus, 10x + 80 = 180

Now that we have identified the equation we solve for x

10x + 80 = 180

step 1 subtract 80 from each side

80 - 80 cancels out

180 - 80 = 100

we now have 100 = 10x

step 2 divide each side by 10

100 / 10 = 10

10x / 10 = x

we're left with x = 10

Which of the following should not be used as justification in a formal proof?
Postulates
Theorems
Axioms
Venn diagrams

Answers

I think it’s Venn diagrams, sorry if im wrong.

Answer:

Venn diagrams

Explanation:

A Venn diagram is a widely used diagram style that shows the logical relation between sets.

Find mT, rounded to the nearest degree.

Answers

Answer:

Step-by-step explanation:

cosT = 4/10 = 2/5

cos^-1(T) = 66.42

Answer:

2is the answer for the question

HELP WHAT COLOR DO I PICJ!!

Answers

Answer:

GREEN

Step-by-step explanation:

because 0.11 per oz is better than 0.12 per oz

Green. It’s cheaper per ounce.

A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its records indicate that the mean selling time of farm property is 90 days. Because of recent drought conditions, the agency believes that the mean selling time is now greater than 90 days. A statewide survey of 100 farms sold recently revealed that the mean selling time was 94 days, with a standard deviation of 22 days.

Required:
At the 0.10 significance level, has there been an increase in selling time?

Answers

Answer:

The right answer is "1.818".

Step-by-step explanation:

The given values are:

a = 0.1

[tex]\bar{x} = 94[/tex]

[tex]\mu = 90[/tex]

Now,

The test statistic will be:

⇒  [tex]t=\frac{\bar{x}-\mu}{\frac{s}{vn} }[/tex]

On substituting the given values, we get

⇒     [tex]=\frac{94-90}{\frac{22}{10} }[/tex]

⇒     [tex]=\frac{4}{2.2}[/tex]

⇒     [tex]=1.818[/tex]

Which equation has the solution x = 2?
A. 5x + 1 = 10
B. 4x - x = 4
C. 3x + 2 = 8
D. 2x - 3 = 9

Answers

Step-by-step explanation:

C. 3X + 2=8is the correct answer

hope it helps you have a good day

please mark me as brain list it is 100% correct

Answer:

Your answer is C

Step-by-step explanation:

(3 * 2) + 2

6 + 2 = 8

Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?

Answers

5:6?
Is this it I’m not sure

A man made a loss of 4% on an article he had sold for Tzs 240 more he had made a profit of 8%. Find the cost price​

Answers

Answer:

250 rupees

Step-by-step explanation:

Pls help my sister doesn't know this question ​

Answers

Answer: i believe its the on that says 8g = 22 +26

Step-by-step explanation:

8g = 22+26

8g = 48

48 / 8

g=6

Other Questions
PLEASE HELP ME :(. Look at this system of equations.X - 8y = -35x - 2y = 4What value of a will make this system have the same solution?ax = -195x - 2y = 4 Help pls asap ill give brainliest if u get i right ;) Please Help!!! THIS IS DUE IN LESS THAN AN HOUR Selma is a major city in Dallas County, Alabama. In 1961, 15,000 African Americans were eligible to vote in Dallas County, but only 130, less than 1%, had registered. The Dallas County Voters League (DCVL) was a group formed in 1920 to increase the number of African American voters. In 1963, the DCVL began working with the Student Nonviolent Coordinating Committee (SNCC). The SNCC was a powerful civil rights group created by college students at Shaw University. Together, the SNCC and the DCVL built a team of volunteers who knocked on doors and encouraged people to register. They also held voter education classes and registration events. Sheriff Jim Clark responded to their activities with violence and arrests. Near the end of 1964, the DCVL asked another civil rights organization, the Southern Christian Leadership Council (SCLC), to join them. Members of the SCLC came to Selma with their president, Dr. Martin Luther King, Jr. By January 1965, civil rights leaders like Dr. King, Bernard Lafayette, John Lewis and Hosea Williams were working together, and Selma had become the center of the voting rights movement.Selma became the center of the voting rights movement as a result ofADr. Martin Luther King Jr.s arrest.Bseveral civil rights groups working together.Cthe SCLC asking the DCVL to join them.Dvery high voter registration rates in Dallas County. Ok so I need help bc I dont pay attention to class PLEASE HELPALL LINKS WILL BE REPORTED Calculate the annual cash flows of a $2 million, 10-year fixed-payment deferred annuity earning a guaranteed 8 percent per year if annual payments are to begin at the end of the sixth (6th) year. Discuss the relationship between the three economic sectors and preindustrial, industrial and post-industrial societies. what time is it, translate from Spanish to English 1 Son las slete menos tres de la noche. 2 Es la una y media de la tarde. 3 Son las diez menos nueve de la noche. 4 Es medianoche. 5 Son las cuatro y cuarto de la tarde. 6 Son las diez y veintitres de la maana. 7 Son las dos menos doce de la tarde.8 Son las tres y veinte de la maana.9 Son las once y once de la noche. 10 Son las siete y veintisiete de la maana Son 11 las nueve menos cuarto de la maana. 12 Son las cinco y media de la tarde. 13 Son las siete menos veinte de la noche. 14 Es medioda. 15 son las dos Es la una menos uno de la tarde. Directions: Study the thermometers and answer these questions. 1. Write in the temperature from both systems. a common element in the movements for german and italian unification was the:a) support of the catholic churchb) existence of democratic parliamentc) support of the united statesd) strength of nationalist leaders True or false: Enlightened thinkers used scientific reasoning to study human behavior and societies. The mass, m, of a lorry is 9.23 tonnes rounded to 2 decimal places.Write the error interval for m helpppppppppppp what is 0 I dont know which one is correct. A) a=80 b=100B) a=60 b=120C) a=70 b=110D) a=72 b= 108 Please help thank you Please write This homework in Informal letter you are Joe or Gabriel. write a letter to your friend describing your boarding school in about 120 to 140 word's Correct answer please somebody answer plzzzzzzzz ASAP How much heat, in kilojoules, is needed to raise the temperature of 236 g of silver from 8.5oC to 34.9 C? (cAg = 0.24 J/gC) what is civilisation Suppose you had the chance to plan a quinceaera. Do you think it would be easy or difficult? Why? Include facts and details from the Article in your answer. What inequality does the number line graphrepresent?