the sum of two rational numbers will always be

Answers

Answer 1

The sum of two rational numbers will always be rational

[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational


Related Questions

Find two consecutive whole numbers that square root 109 lies between.

Answers

The closest lower value would be 10.

10^2 = 100

So the two consecutive numbers would be 10 and 11

Could you plz help me with this one question

Answers

The answer is 90

Hope this helped

Answer:

90 degrees.

Step-by-step explanation:

Add all of the degrees together 270 plus 90 its makes a 360 degree.

How do I solve this 4x-2y=8 y=3/2x-2

Answers

Answer:

y=1 and x= .5

Step-by-step explanation:

distribute

the x has to be solved

they when got the answer

input the answer you got for x into the y and subtract and divide

the answer is one for x

There are some parallelograms that are not rectangles

Answers

Answer:

true

Step-by-step explanation:

This is a true statement

To be a rectangle it must have 4 right angles and 2 pairs of parallel sides

A rhombus has 2 pairs of parallel sides so it is a parallelogram, but does not have to have 90 degree angles.    (Rhombuses with 90 degree angles are squares)

_________________________________

Yes,it is true.

There are some parallelograms that are not rectangles.

Rectangle are just the special case of parallelogram where the angles are all 90 degree.All rectangles have 90 degree angles and with parallelogram that does not always have to be the case. Some parallelograms are squares,rhombus and many more.A parallelogram is a quadrilateral with 2 pairs of opposite,equal and parallel sides.

Hope it helps..

Good luck on your assignment

______________________________

What is the area of the figure?
2ft
1 1/3 ft
1/3 ft
5 ft

Answers

Answer:

12

Step-by-step explanation:


Semicircle M has a radius of 15 inches. If an ant walks from A to B directly along diameter AB and a beetle
walks from A to B around ACB. how much farther, to the nearest tenth of an inch, does the beetle walk?

(1) 17.1
(2) 32.1
(3) 64.2
(4) 79.2​

Answers

Answer:

A,17.1 in

Step-by-step explanation:

circumference of sphere=2πr

Beetle walks=πr=π×15=15π=15×3.14≈47.1 in

Ant walks=d=2r=2×15=30

difference=47.1-30=17.1 in

Graph the solution of the inequality.
-4 < 2t < 2
PLZ HELP NOW

Answers

Answer:

B

Step-by-step explanation:

-4<= 2t <2

-4/2<= t <2/2

-2<= t <1

(Its touches -2 but doesnt touch 1)

Answer:

Firstly you have to divide by 2 to get 't' so -4/2=-2

2/2=1

so the simplified inequality= -2<t<1

< and > are both illustrated as hollow circles so on a number line put a hollow circle on -2 and 1 and attach with a line

Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular? *

A. 7th
B. 8th
C. Baseball
D. Soccer

Answers

Answer:

Baseball

Step-by-step explanation:

You look at the table and find that 38/50 students play baseball, while the other 12 play soccer.

For both 7th and 8th grade, baseball is the most popular sport. Baseball has 11 votes for 7th grade and 27 votes for 8th grade.

1/4 ( 8x + 16) + 4x

I apparently need 20 characters for a great answer so ignore this <3

Answers

Answer:

2x(3x + 2)

Step-by-step explanation:

Answer

102

Step-by-step explanation:

X means 3 not times, lots of people mess that up sometimes. Anyways, do 8+3 which equals 11. 8+3=11. So next what you do is you do 11 + 16 which is 27,

equations:

8+3=11

11+16=27

21/1=27

27/4= 6.75

6 x 3= 27

27 + 72 + 3= 102

Then go back to the beginning and do 1/4. If this confuses let me fix it.

now divide it with 4. Look at the equations list. Okay now do 6.72/4x. MAKE SURE TO MULTIPLY DON'T DIVIDE! You multiply 6 and 4 then you add 72 and three! Then you should end up with 102! I hope this worked message me back if it did :)

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock
ABC over the past month with an r-value of 0.9948. How much do you think
ABC will be worth at x = 34 days?
A. $2343.31
B. $22.17
C. $2262.43
D. $65.89

Answers

The answer is C. $2262.43!

The amount of ABC will be at x = 34 days is, $2245.46.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock ABC over the past month with an r-value of 0.9948.

Now, we can calculate the value of ABC by substituting x = 34 into the equation as;

y = 65.89(34) + 22.17

y = 2245.46

Therefore, the value of ABC at x = 34 days is approximately $2245.46.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

5x2+3=0. find a=, b=, c=. thank you:)​

Answers

Answer:

a=5 b=0 c=3

Step-by-step explanation:

The quadratic equation is written as

ax^2 + bx+c =0

5x^2 +3 =0

5x^2 +0x  +3 =0

a=5 b=0 c=3

Can someone Help me?

Answers

Answer:

The answer for the surface area is 25.12

Step-by-step explanation:

By using the formula 1/3 x 3.14 x h x r^2

You would input the numbers and then multiply them all together to get the desired answer

in a triangle, what is the 3rd angle measure if the other two angles are each 60

Answers

the answer is 60. i hope this helps if it does please mark brainliest
Answer: 60 degrees

Explanation: the two other measures add up to 120 degrees. The triangle sum property states that every triangle always adds up to 180 degrees. So, 180 - 120 = 60 degrees. Therefore, the third angle measures 60 degrees.

Pls Need Help!
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees.

Which statement is not true about these triangles?
A. ∠Q ≅ ∠T based on the third angle theorem.
B. ∠S corresponds to ∠V.
C. ∆QRS ~ ∆TVU based on the angle-angle criterion.
D. ∆RQS ~ ∆VTU based on the angle-angle criterion.

Answers

Answer:  ∠S corresponds to ∠V.

The solution is Option B.

The measure of angle ∠S corresponds to ∠V

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be ΔQSR

Let the second triangle be ΔTUV

Now , the measure of ∠Q = 98°

The measure of ∠R = 37.6°

The measure of ∠U = 98°

The measure of ∠V = 37.6°

So , the measure of the third side of the triangles is

The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )

The measure of ∠S = measure of ∠T = 44.4°

And , ∆QRS ~ ∆TVU based on the angle-angle criterion

So , ∠Q ≅ ∠T based on the third angle theorem

And , ∆RQS ~ ∆VTU based on the angle-angle criterion

Hence , the false statement is ∠S corresponds to ∠V.

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ6

What number is the same percent of 36 as 5 is of 24?
If possible please show work:))

Answers

Answer:

7.4999999988

Step-by-step explanation:

5/24=0.2083333333

5 is 20.8% of 24

36*0.2083333333=7.4999999988

Answer:

7.5

Step-by-step explanation:

x/36=5/24

x= 36*5/24

x= 7.5

Can someone help please, thank you.

Answers

Answer: y - 2 = 3/2(x + 1)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1). Where m is the slope. so you can just fill in:

y - (2) = 3/2(x - (-1))

y - 2 = 3/2(x + 1)

20 POINTS!! Let logb A = 3; log, C = 2; log, D= 5
What is the value of logb(a5c2/d6)?

Answers

Answer:

-11

Step-by-step explanation:

logb ( a^5 c^2 / d^6)

Splitting these into log (xy/z) = log x + log y  -  logz

logb ( a^5)  +logb ( c^2)  - logb( d^6)

We also know that log x^y = y log x

5logb ( a)  +2logb ( c)  - 6 logb( d)

Given logb ( a)=3  logb ( c) =2   logb( d)=5

5 * 3 + 2* 2 - 6* 5

15 +4 -30

19 - 30

-11

Answer: -11

Step-by-step explanation:

just got it right on ap3x

Help somebody please

Answers

Answer:

[tex]62[/tex]

Step-by-step explanation:

[tex]2x^2+15x-1[/tex]

[tex]2(3)^2+15(3)-1[/tex]

[tex]2(9)+15(3)-1[/tex]

[tex]18+45-1[/tex]

[tex]=62[/tex]

[tex]answer \\ = 62 \\ solution \\ x = 3 \\ 2 {x}^{2} + 15x - 1 \\ = 2 {(3)}^{2} + 15 \times 3 - 1 \\ = 2 \times 9 + 45 - 1 \\ = 18 + 45 - 1 \\ = 63 - 1 \\ = 62 \\ hope \: it \: helps[/tex]

please help! i need this asap

Answers

philip equation
ordered data: 3o(oranges), 3g(green), 6y, 8r, 13b(black, 15b(blue
mean: 8 mode: 3 range: 12

plz answer this asap

Answers

H.

Explanation: A function only has one answer for each in put, but in this situation 2 has two answers(1 and 7). So H is NOT a function.

Simplify x^2-9/x^2+x-12

Answers

Answer: \frac{x+3}{x+4}

Step-by-step explanation:

\frac{x^2-9}{x^2+x-12}

\frac{(x+3)(x-3)}{(x+4)(x-3)} =\frac{x+3}{x+4}

Answer: x⁴+x³-12x²-9/x²

Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total of 6 1/2 pounds of potatoes. How many batches of soup did Monique make?

Which division and multiplication problems could represent this scenario? Check all the apply.

A)3/4 divided by 13/2

B)13/2 divided by 3/4

C)3/4(13/2)

D)13/2(3/4)

E)13/2(4/3)

Answers

Answer:

B and E

Step-by-step explanation:

Answer:

B) 13/2 divided by 3/4 and E) 13/2(4/3)

points
In the diagram, m B = m AED, AD = 8, AC = 22, and
BC = 11. Find ED.
с
E
A
D
B

Answers

I would have to see the diagram

The value of ED is 4 units in the diagram.

It is given that in the diagram m ∠B = m∠AED, AD = 8, AC = 22, and BC = 11.

It is required to find the ED.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have m ∠B = m∠AED both angles are equal.

And the m ∠A in the ΔADE and m ΔABC are the same.

By using the angle-angle similarity theorem ( ∵∠A=∠A)

[tex]\rm \frac{ED}{BC} = \frac{AD}{AC} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm ED = 4 \ unit[/tex]

Thus, the value of ED is 4 units in the diagram.

Learn more about the triangle here:

brainly.com/question/25813512

simplify 17+(-4)-(-16)-2

Answers

Answer:

17 - 4 + 16 - 2

13 + 14

27

Hope it helps!! Good luck on your assignment!! :)

Step-by-step explanation:

You have been given the equation: 17+(-4)-(-16)-2. Remember we can always use tricks to find the equation. Plus times Minus is Minus. Minus times Minus is plus. And Plus times Plus is Minus. I would appreciate if you mark me as brainliest!! :)

______________________________

Hey!!!

Solution

17+(-4)-(-16)-2

= 17-4+16-2

=17+16-4-2

=33-6

=27

Hope it helps

Good luck on your assignment

_____________________________

the vertex of this parabola is at (3,-2). When the x-vaue is 4, the y-value is 3. What is the coefficient of the squared expression in the parabola equation?

Answers

Answer:   5

=========================================================

Explanation:

Vertex form is

y = a(x-h)^2 + k

We are told the vertex is (3,-2), so we know (h,k) = (3,-2)

y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2

--------

Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'

y = a(x-3)^2 - 2

3 = a(4-3)^2 - 2

3 = a(1)^2 - 2

3 = a - 2

3+2 = a

5 = a

a = 5

This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.

PLSS HELP !!!A data set has a standard deviation of 2.5. The element 16 is an element of a data set, with a z-score of 2.4. What is the mean of the data set?

Answers

Answer:

10

Step-by-step explanation:

Given the following parameters

standard deviation σ = 2.5

z-score Z = 2.4

observed value x = 16

Mean of the dataset μ = ?

Using the formula for calculating the z-score as shown to calculate the mean

[tex]Z = \frac{x - \mu}{\sigma}[/tex]

On substituting the values;

[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]

The mean of the dataset is 10

z2 (z squared) when z = 0.7 help us out

Answers

Answer:

0.49

Step-by-step explanation:

0.7^2 is the same as 0.7*0.7.  You just have to times them together!

Hope this helps!

The solution is z^2= 0.49.

What is Square root?

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have.

z^2=z*z

when z = 0.7

z^2= 0.7*0.7

     =0.49

0.7^2 is the same as 0.7*0.7.

Hence, the solution is z^2= 0.49.

To learn more on square root click:

brainly.com/question/29286039

#SPJ2

Find the mystery number from the following clues. • It is a two-digit number. • It is a factor of 48. • It is a multiple of 6. • The sum of the digits is 3.

Answers

Answer:

It might be 24 but probaly not.

Step-by-step explanation:

It is the first 3 , but am not sure about the last one.

pleaseeee help!!

x =
a.) 4
b.) 9
c.) 16

Answers

Answer:

x =16

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos 60  = 8/x

Switch the x and the cos 60

x = 8/cos 60

x =8 / (1/2)

x =16

It’s 16 bc of cos and other things

Use the distributive property to write the following sum as a product.
17a+17b

Answers

Answer:

17(a+b)

Step-by-step explanation:

17 is distributed in the initial equation to both the a and the b

Answer:

17(a+b)

Step-by-step explanation:

Factor out the common term

17a+17b

17(a+b)

Other Questions
The International Space Station is about 90 meters across and about 380 kilometers away. One night t appears to be the same angular size as Jupiter. Jupiter is 143,000 km in size. Use serxa to figure out how far away Jupiter is in AU Note: 1 AU= 1.5 x 10-km a) 6.0 x 10 Au b) 4.0 AU c) 9.1 x 1010 AU d) 4.0 x 10 AU Thomas Company uses a standard cost system. Information for raw materials for Product RBI for the month of October follows: Standard unit price $1.75 Actual purchase price per unit $1.65 Actual quantity purchased 4,000 units Actual quantity used 3,900 units Standard quantity allowed for actual production 3,800 units What is the materials purchase price variance Which statement describes Ayatollah Khomeini?O He served as the last shah of Iran.O He became the first president of Turkey.He helped found the Muslim Brotherhood.O He declared Iran to be an Islamic republic. If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 32 inches, what diameter pizza will reward you with the largest slice Alexander Hamilton believed what type of economy, powerful in the North, would be most beneficial to the US?A. EntertainmentOB. AgricultureC. TransportationD. Industry A triangle has two sides of length 10 and 19. What is the smallest possible whole-number length for the third side? which quadrilateral will always have four reflection symmetry The Wild Dogs and the Rattlers also have membership programs for their fans. The Wild Dogs program has an initial fee of $20 and a discounted single-game ticket price of $1.50. The Rattlers program has an initial fee of $14 and a discounted ticket price of $2.25 per game. Which linear equation represents the Wild Dogs program? Let x represent the number of games and y the total c The percent, X, of shrinkage on drying for a certain type of plastic clay has an average shrinkage percentage :, where parameter : is unknown. A random sample of 45 specimens from this clay showed an average shrinking percentage of 18.4 and a standard deviation of 2.2. est at 5% level of significance whether the true average shrinkage percentage : is greater than 17.5 and write your conclusion. Report the p-value. An acite triangle has sixes measuring 10 cm and 16 cm .the length of the third side is unknown .which best describes the range of the possible values for the third side of the triangle ? Which revision of the sentence adds an adverb phrase?Dan jogs before dawn.Dan jogs for exercise before dawn.Dan jogs many miles before dawn.Dan jogs and lifts weights before dawn.Dan, my neighbor, jogs before dawn. Now that you have had a chance to read excerpts fromAnne Frank's diary and the play version of it, which doyou prefer? Why? Whats the correct answer for this? In 1970, 59% of college freshmen thought that capital punishment should be abolished; by 2005, the percentage had dropped to 35%. Is the difference real, or can it be explained by chance What does a patent do? A. Officially grants someone the right to a political office B. Officially grants someone the right to use an invention C. Officially sets up a monopoly D. Officially breaks up a trust What is the answer to 1 7/9 4/5 and explain please How does the velocity change with time in uniform rectilinear motion of an object? which partner is often the first to arrive and last to leave the incident site of a disaster? Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased themotorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.A. -18.75x + 600 = 150Clarissa's sister will have $150 left to pay after 24 weeks.B. 18.75x - 600 = 150Clarissa's sister will have $150 left to pay after 8 weeks.C. -18.75x + 150 = 600Clarissa's sister will have $150 left to pay after 24 weeks.D. 18.75x - 150 = 600Clarissa's sister will have $150 left to pay after 8 weeks. Solve for x: 8 x > 6 7 > x > 6 TONS OF POINTS WHO EVER HAVE THE BEST GET BRAINLIEST!!!!!!!