La suma de dos numeros es 208 y su diferencia es 122¿cuales son los numeros?

Answers

Answer 1

Answer:

Los números son:

43 y 165

Step-by-step explanation:

Planteamiento:

a + b = 208

a - b = 122

Desarrollo:

de la segunda ecuación del planteamiento:

a = 122 + b

sustituyendo este último valor en la primer ecuación del planteamiento:

(122+b) + b = 208

2b = 208 - 122

2b = 86

b = 86/2

b = 43

a = 122 + b

a = 122 + 43

a = 165

Comprobación:

165 + 43 = 208

165 - 43 = 122


Related Questions

What is the value of x?
-7.5 (x-3)=3.75

Answers

Answer:

x= 2.5

Step-by-step explanation:

-7.5 (x-3) = 3.75

(divide both sides of the equation by -7.5)

x-3 = -0.5

(move the constant to the righthand side and change the sign)

x = -0.5+3

(calculate the sum)

x = 2.5

I need help on number 2 , 3 and 4

Answers

3. 0
4. 5/3, positive
I can’t see the instructions for 2

Solve for
16 – 2t = t +9

Answers

16 - 2t = t + 9
t = 7/3

2 x 10-6
times what number is equal to 6 x 10-4

Answers

Answer:

times -6

Explanation... 2 x 10-6 x -6=56

                      6 x 10-4=56      

                             

Hope this helps

Evaluate 12 - 6+ (14 – 8)^2=
. (1 point)

Answers

Answer:

the answer is 42

Step-by-step explanation:

12-6+(14-8)^2

12-6(6)^2

12-6+36

=42

Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22.
Solve for x. *

Answers

Answer:

         x = 35

Step-by-step explanation:

Collinear points A, B, and C and point B being midpoint of AC means:

AB = BC

12x - 398  =  22

   + 398      + 398

 12x = 420

  ÷12    ÷12  

    x = 35

Muna is making a scale drawing of a gecko. The gecko is 1··2inch wide and 5 inches long. A. She decides to make her drawing of the gecko 1 inch wide. How long will the drawing be? Show your work.

Answers

Answer:

[tex]L = 0.83\ in[/tex]

Step-by-step explanation:

Given

Width = 1.2 in when Length = 1 in

Required

Determine the length when width = 1 in

First, we need to determine the ratio:

[tex]Ratio = \frac{Width}{Length}[/tex]

[tex]Ratio = \frac{1.2}{1}[/tex]

[tex]Ratio = 1.2[/tex] --- (1)

Let the required Length be represented with L

So:

[tex]Ratio = \frac{Width}{Length}[/tex]

[tex]Ratio = \frac{1}{L}[/tex] --- (2)

Equate (1) and (2)

[tex]\frac{1}{L} = 1.2[/tex]

Multiply through by L

[tex]L * \frac{1}{L} = 1.2 * L[/tex]

[tex]1 = 1.2 * L[/tex]

Divide through by 1.2

[tex]L = \frac{1}{1.2}[/tex]

[tex]L = 0.83\ in[/tex] (Approximated)

Please help me to prove this!!!

Answers

Answer:  see proof below

Step-by-step explanation:

Given: A + B + C = π                    →    A + B = π - C

                                                    →    A + C = π - B

Use the Cofunction Identities:   sin (π - A) = sin A

                                                    sin (A - π/2) = cos A

                                                    cos (π/2 - A) = - sin A

Use the Power Reducing Identity:  sin ² A - sin² B = sin (A + B) · sin (A - B)

Use the Sum to Product Identity:

                                               sin A - sin B = 2 [cos (A + B)/2] · [sin (A - B)/2]

Proof LHS → RHS:

LHS:                                   sin² A - sin² B - sin² C

                                       = (sin² A - sin² B) - sin² C

Power Reducing:           sin (A + B) · sin (A - B) - sin² C

Given:                             sin (π - C) · sin (A - B) - sin² C

Cofunction:                    sin C · sin (A - B) - sin² C

Factor:                            sin C [sin (A - B) - sin C]

[tex]\text{Sum to Product:}\qquad \sin C\bigg[2\cos \bigg(\dfrac{(A-B)+C}{2}\bigg)\cdot \sin \bigg(\dfrac{(A-B)-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{(A+C)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(B+C)}{2}\bigg)\bigg][/tex]

[tex]\text{Given:}\qquad \qquad 2\sin C\bigg[\cos \bigg(\dfrac{(\pi - B)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(\pi - A)}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi -2B}{2}\bigg)\cdot \sin \bigg(\dfrac{2A-\pi}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi}{2} -B}\bigg)\cdot \sin \bigg(A-\dfrac{\pi}{2}\bigg)\bigg][/tex]

Cofunction:             2 sin C (-sin B) · (cos A)

                           = -2 sin C · sin B · cos A

                           = -2 cos A · sin B · sin C

LHS = RHS:   -2 cos A · sin B · sin C = -2 cos A · sin B · sin C  [tex]\checkmark[/tex]

10 - 3x < 16
Can y’all help me pls

Answers

Answer:

x>-2

Step-by-step explanation:

first you subtract 10 from both sides to find x

10-3x-10<16-10

-3x<6

now here you divide both sides by -3

-3x/-3<6/-3

BUT since you are dividing by a negative number the sign will have to flip

so the answer will be

x>-2

4x+2y=8 what is the y intercept

Answers

the y intercept is 4

explanation-
4x+2y=8 (you want to get y by itself, so subtract 4x)

2y=-4x+8 (now divide by 2)

y=-2x+4 so four is the y intercept

NEED HELP WORTH 100 POINTS SHOW YOUR WORK PLEASE

Answers

Answer:

Q1:

[tex]-5\sqrt{27c^2}[/tex]

[tex]-5\sqrt{27}\sqrt{c^2}[/tex]

[tex]-5\times\sqrt{9} \sqrt{3} \sqrt{c^2}[/tex]

[tex]-5\times3\sqrt{3}\sqrt{c^2}[/tex]

[tex]-5\times3\sqrt{3}c[/tex]

[tex]-15\sqrt{3}c[/tex]

Q2:

[tex]5\sqrt{72}-3\sqrt{32}[/tex]

[tex]5\sqrt{36} \sqrt{2} -3\sqrt{16} \sqrt{2}[/tex]

[tex]5\times6\sqrt{2}-3\times4\sqrt{2}[/tex]

[tex]30\sqrt{2}-12\sqrt{2}[/tex]

[tex]18\sqrt{2}[/tex]

Q3:

[tex]\sqrt{108yz}+3\sqrt{98yz}+2\sqrt{75yz}[/tex]

[tex]\sqrt{36} \sqrt{3} \sqrt{yz} +3\sqrt{49} \sqrt{2} \sqrt{yz} +2\sqrt{25} \sqrt{3} \sqrt{yz}[/tex]

[tex]6\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}+10\sqrt{3}\sqrt{yz}[/tex]

[tex]16\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}[/tex]

Q4:

[tex]\sqrt{15n^2}\sqrt{10n^3}[/tex]

[tex]\sqrt{15}n\sqrt{10n^3}[/tex]

[tex]\sqrt{15}n\sqrt{10}\sqrt{n^2}\sqrt{n}[/tex]

[tex]\sqrt{15}\sqrt{10}n^2\sqrt{n}[/tex]

[tex]\sqrt{5}\sqrt{3}\sqrt{5}\sqrt{2}n^2\sqrt{n}[/tex]

[tex]5\sqrt{3}\sqrt{2}n^2\sqrt{n}[/tex]

[tex]5\sqrt{6}n^2\sqrt{n}[/tex]

Q5:

[tex]\frac{\sqrt{3x^2y^3}}{4\sqrt{5xy^3}}[/tex]

[tex]\frac{\sqrt{3}xy\sqrt{y}}{4\sqrt{5}y\sqrt{x}\sqrt{y}}[/tex]

Cancel off [tex]\sqrt{x}[/tex]:

[tex]\frac{\sqrt{3}y\sqrt{x}\sqrt{y}}{4\sqrt{5}y\sqrt{y}}[/tex]

Cancel off [tex]y:[/tex]

[tex]\frac{\sqrt{3}\sqrt{x}\sqrt{y}}{4\sqrt{5}\sqrt{y}}[/tex]

Cancel off [tex]\sqrt{y} :[/tex]

[tex]\frac{\sqrt{3}\sqrt{x}}{4\sqrt{5}}[/tex]

Multiply [tex]\sqrt{5}[/tex] on the numerator and denominator:

[tex]\frac{\sqrt{3}\sqrt{x}\sqrt{5}}{4\sqrt{5}\sqrt{5}}[/tex]

[tex]\frac{\sqrt{15}\sqrt{x}}{20}[/tex]

sorry i pushed add answer

A clementine weighs about 80 g What is the approximate weight of 48 clementines?

Answers

Answer:

3840g

Step-by-step explanation:

... ..... ......

-25 = 1/2 (10x - 2) + 3x what is x?

Answers

Answer:

x=[tex]-\frac{1+2i\sqrt{31} }{5}[/tex]

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

−25=  [tex]\frac{1}{2}[/tex]  (10x−2)+3x

−25=([tex]\frac{1}{2}[/tex])(10x)+( [tex]\frac{1}{2}[/tex] )(−2)+3x(Distribute)

−25=5x+−1+3x

−25=(5x+3x)+(−1)(Combine Like Terms)

−25=8x+−1

−25=8x−1

Step 2: Flip the equation.

8x−1=−25

Step 3: Add 1 to both sides.

8x−1+1=−25+1

8x=−24

Step 4: Divide both sides by 8.

8x  ÷ 8   =   −24  ÷ 8

4(5x – 9) = -2(x + 7) solve and justify each step

Answers

Step-by-step explanation:

4(5x-9)=-2(x+7)

4*5x-4*9=-2*x-2*7

20x-36=-2x-14

20x+2x=-14+36

22x=22

x=22/22

x=1

Frank needs to fill juice cups for his sis there r 35 cups amd it holds 12 fluid ounces. The juice came in a 1 gallon bottle how many 1 gallon bottles of juice will he need to purchase?

Answers

Answer:

4 gallons

Step-by-step explanation:

He needs 105 over 3 to fill all the cups. 1 gallon would be 10 and 2 third cups or 32 over 3. 2 gallons would be 21 and 1 third cups or 64 over 3. 3 gallons would be 32 or 96 over 3. 4 gallons would be 42 and 2 third cups or 128 over 3. So 4 gallons would fill up all 35 of his sisters 12 ounces cups. That would leave 7 and 2 third cups that hold the same amount. His sister gets all 35 of her 12 ounces each cups filled and he gets 7 and 2 thirds of new and unused 12 ounces cups. Basically out of the 4 gallons there would be 512 ounces and his sister with all 35 cups that hold 12 ounces each she would get 420 ounces. Which would leave him with 92 ounces of juice for himself. Hope this understandable and helpful.

Find the measure of angle C of △ABC, if m∠A = α, m∠B = 2α its not 10-3a(will mark brainliest!)

Answers

Answer:

[tex]C = 180 - 3a[/tex]

Step-by-step explanation:

Given

[tex]A = a[/tex]

[tex]B = 2a[/tex]

Required

[tex]Find\ C[/tex]

Since, ABC is a triangle, we have:

[tex]A + B + C = 180[/tex]

Substitute values for A and C

[tex]a + 2a + C = 180[/tex]

[tex]3a + C = 180[/tex]

Subtract 3a from both sides

[tex]C = 180 - 3a[/tex]

Answer:

180°-3α

Step-by-step explanation:

If you forgot to put the degree sign on 180, that's why you got it wrong!

Could someone help me out, I’m not sure how to do these :,)

Answers

Answer:

1.) Reflection over y=1

2.) Translation rule: (x-5, y-3)

3.) Reflection over the y axis

4.)Translation rule: (x-4, y+1)

Step-by-step explanation:

Need help ASAP. Thanks!

Answers

Answer: 114

Step-by-step explanation:

To find the perimeter, you will find the distance around the shape by adding the numbers.

The is one missing side  and to find that side you will subtract  10 from 38.

38 - 10 = 28

Now add the them.

28 + 5 +  10 + 26 + 10 + 35 = 114

Whats a prime number can you guys give me some examples pls

Answers

2 3 5 7 11 13 17 19 23

29 31 37 41 43 47 53 59 61 67

71 73 79 83 89 97 101 103 107 109

113 127 131 137 139 149 151 157 163 167

173 179 181 191 193 197 199 211 223 227

229 233 239 241 251 257 263 269 271 277

281 283 293 307 311 313 317 331 337 347

349 353 359 367 373 379 383 389 397 401

409 419 421 431 433 439 443 449 457 461

463 467 479 487 491 499 503 509 521 523

541 547 557 563 569 571 577 587 593 599

601 607 613 617 619 631 641 643 647 653

659 661 673 677 683 691 701 709 719 727

733 739 743 751 757 761 769 773 787 797

809 811 821 823 827 829 839 853 857 859

863 877 881 883 887 907 911 919 929 937

941 947 953 967 971 977 983 991 997   Thats all the prime numbers between 1 and 1000   Prime numbers can only be multiplied by its self ad one

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?

Answers

70000000 would be the answe

Liliana buys some softballs at $3 each and gloves at $20 each for her PE
class. She buys twice as many balls as gloves. She spends $138 in total,
which includes $8 tax: Which equation would you use to find the number of
gloves she buys?
Let x represent the number of gloves she buys.
A. 2 + 2x + 8 = 138
B. 20 (2x) + 3 (x) + 8 = 138
C. 20 (2) + 3 (2x) + 8 = 138
D. 20 (x) + 3(2x) = 138

Answers

Answer:

d. 20(x)+3(2x)=138

ap3x

The number of gloves she buys is B. 20 (2x) + 3 (x) + 8 = 138, where x = 3.

What are linear equation?

A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.

Now it is given that,

Cost of each softball , $3.

Cost of each gloves, $20 .

Total money spend , $138 .

Tax , $8 .

She buys twice as many softballs as gloves.

To Find the number of gloves she buys .

Let , x represent the number of gloves she buys.

So , number of softballs she buys is 2x .

20 (2x) + 3 (x) + 8 = 138

or, 40x + 3x + 8 = 138

or, 43x + 8 = 138

Subtract 8 both the side we get,

43x = 130

or, x = 3.02

0r, x = 3

Hence,the number of gloves she buys is B. 20 (2x) + 3 (x) + 8 = 138, where x = 3

More about linear equation :

https://brainly.com/question/24267899

#SPJ2

The coordinates of point T are (0,4). The midpoint of ST is (1,-5). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)

Answers

The answer is (2,-15)

find the initial value seventeen years from now, Ms. speedis car, which is depreciating at 20% per year, will be worth $500

Answers

Answer:

Around 22200 dollars

Step-by-step explanation:

Firstly, it was depreciating 20% per year for 17 years. So, if we were to go back in time, it would be appreciating by 25%. Therefore, after doing the plugging in, it is 500 * 1.25^17. The initial value is around 22200. It is around 22204, to be exact.

10. APPLICATION Inspector 47 at the Zap battery plant
keeps a record of which AA batteries she finds defective.
Although the battery numbers at right do not make an
exact sequence, she thinks they are close to an arithmetic
sequence
a. Write a recursive formula for an arithmetic sequence
that estimates which batteries are defective. Explain
your reasoning
b. Predict the numbers of the next five defective batteries.
c. How many batteries in 100,000 will be defective?
Defective
Batteries
255, 500, 773
998, 1227, 1510,
1721, 2010

Answers

2010 47 +ten thousand split decide and

What is 180(n-2)=s when solving for N​

Answers

Answer:

n = s/180 +2

Step-by-step explanation:

180(n-2)=s

Distribute

180n - 360 =s

Add 360 to each side

180n -360+360 = s+360

180n = s+360

Divide each side by 180

180n/180 = s/180 + 360/180

n = s/180 +2

please don’t skip over me!

show all work

Answers

Answer:

a,c,d

Step-by-step explanation:

[tex]a. \\4i^9+4i^7\\=4i(i^2)^4+4i(i^2)^3\\=4i(-1)^4+4i(-1)^3\\=4i-4i\\=0\\b.\\2i^{18}-3i^{11}\\=2(i^2)^9-3i(i^2)^5\\=2(-1)^9-3i(-1)^5\\=-2+3i\\c.\\7i^{36}-11i^{11}-11i^9\\=7(i^2)^{18}-11i(i^2)^5-11i(i^2)^4\\=7(-1)^{18}-11i(-1)^5-11i(-1)^4\\=7+11i-11i\\=7\\d.\\8i^{22}-1\\=8(i^2)^{11}-1\\=8(-1)^{11}-1\\=-8-1\\=-9[/tex]

e.

[tex]2i^{27}+4\\=2i(i^2)^{13}+4\\=2i(-1)^{13}+4\\=-2i+4[/tex]

math 1 work it out please w-2+2w=6 + 5w

Answers

Answer:

w = -4

Step-by-step explanation:

w - 2 + 2w = 6 + 5w

Add 2 to both sides.

w + 2w = 8 + 5w

Subtract w from each side.

2w = 8 + 4w

Subtract 4w from each side.

-2w = 8

Divide.

w = -4

Find the area.
A. 1818 sq cm
B. 1406 sq cm
C. 1246 sq cm
D. 141 sq cm
E. 146 sq cm​

Answers

Answer:

C

Step-by-step explanation:

39*34= 1326 (the area of the full square

8*10=80 (the area of the small square that is cut off)

1326-80= 1246

Answer:

C = 1246 sq. cm.

Step-by-step explanation:

finding the area is simply splitting the area into two (see image)

A1 = 26 x 39 = 1014

A2 = 8 x 29 = 232

total area = 232 + 1014

total area = 1246 sq. cm.

therefore, the answer is C = 1246 sq. cm.

what is 24-6x3+52-(12÷2)

Answers

The answer is 52 if it’s wrong I’m so sorry but my calculations said 52 the math was hard but it’s 52

Answer:

Step-by-step explanation:

524-6x3+52-(12÷2)

Multiplique los números

524-18+52- (12÷2) paso tres divida los números 524-18+52-6calcula la suma o resta 524-18+52-6=552solución=   x = 552

please help me on this

Answers

Answer:

12x+10

Step-by-step explanation:

Add up the lengths of all sides to find the perimeter

P = x + 2( x+5) + 6(x-1) + 3(x+2)

Distribute

  = x + 2x+10 +6x-6 + 3x+6

Combine like terms

 =x+ 2x+ 6x+3x    + 10 -6+6

 = 12x+10

Other Questions
Which are the functions of proteins? A. Genetic information and regulation B. Enzymes and antibodies C. Hormones and steroids D. Insulation and storage Which sentence describes motivations that cause external conflict?O A. Denice dreams of having the highest grades in the class, but shecan't keep her mind on her schoolwork.B. Donald wants to be more popular, but he can't stop himself fromsaying unkind things when he's nervous.O C. Jose wants to take Maya to the circus on Friday, but his parentswant him to babysit his brother that night.O D. Kim hopes to find a way to succeed in school, in her piano playing,and in soccer without exhausting herself. Which fund classification would a focus on only stocks of technology companies match? a. Growth fund b. Sector fund c. Balanced fund d. International fund what kind of block can result from poor language skills HELP PLEASE :( !!!!!!!!!!!!!Why was the Battle of Wilderness Campaign important?'Do not copy from anywhere or else I will fail :( Give an example of a situation in which you would describe anobject's position ina. one dimension.b. two dimensions.three dimensions. PLEASE HELP ME THIS IS DUE IN 90 MINUTESSS If Jamie is riding at 14 mph and cori is riding at 0.04km per minute, how far will each of yjem bike in two hours? 1 mile = 1.61 km use the equation D=V/T Which belief do Judaism and Islam share? (1 point)A.Followers should not eat pork.B.Muhammad is a prophet.C.Saturday is the Sabbath.D.Believers must journey to Mecca. scientists can determine whether a colony of sea anemones was produced sexuallyor asexually can someone help me i will mark Need some help over here plz is -9/6 irrational, rational, and integer, a whole, number or natural? James is a curriculum planner in a school in a small town. Analyzing the past scores of his students, he realizes that students score well in the theory papers, but do poorly when they have to apply their knowledge practically. What can james do to Improve student grades in practicalapplication? Andre drew a plan of a courtyard at a scale of 1 to 60. On his drawing, one side of the courtyard is 2.75.what is the actual measurement of the side of the courtyard? which region of texas lies west of the pecos river A crate to ship boxes of baseballs can hold 4 boxes that are each (6 x 6) * 2. Howmany baseballs can be shipped in the crate, if each baseball takes a 1x1x I space?Show your thinking using words, numbers, or labeled sketches. PLZ HELP 50 points. 4. How did Debevec and his team keep Emily from looking like a plaster mannequin? 1. What is Senator Morrill promoting in his speech? PLEASE ANSWER QUICK!! Describe how an atlatl was useful to early people in the southwest.