If 2^x3^y=18 and 2^x×3^y=36 then find the value of x and y​

Answers

Answer 1

Answer:

x = 1

y = 2

Step-by-step explanation:

x=1 and y=2.

step 1 ,

2^2x*3^y=36

3^y= 36/2^2x ———- equal 1

step 2,

put the value of 3^y in 2^x*3^y = 18 (equal 1)

WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.

Therefore, 2^x-2^2x= 1/2

2^-x= 1/2

(1/2)^x = 1/2

COMPARING THE POWERS BECAUSE THE BASE IS SAME.

x=1.

Now, putting the value of x=1 in 2^x*3^y = 18

y=2.


Related Questions

It was estimated that 650 people would attend the baseball game, but 683 people actually attended.
What is the percent error, to the nearest percent, of the estimate?

Answers

Answer:

5%

Step-by-step explanation:

33/650=0.0507

0.0507*100=5.07

-6 - x = -4 What's the value of x? Please show your work. ​

Answers

Answer:

x = -2

Step-by-step explanation:

-6-x = -4

-6+4=x

-2 = x

shhssuuaBhsyegzvsysbNhsuehsgzgeysbs

Answer:

- 2

Step-by-step explanation:

so in order to solve this equation we are going to have to add x to each side of the equal sign to make the x a positive:

-6 - x = -4

    + x     + x

making the equation look like this:

-6 = -4 + x

Now we are going to add 4 to each side of the equation to segregate our x:

-6 = -4 + x

+4   + 4

Making the equation look like this:

-2 = x

Now to check our work by placing -2 where x is in the equation -6 - x = -4:

-6 - x = -4 now -6 - (-2) = -4

Since the negative number is next to a subtraction sign -2 becomes positive 2

-6 + (2) = -4

We add them together and....:

-4 = -4

List the next three terms in the following sequence:

1, 2, 4, 8, 16, 32,...
a.
48, 80, 128
b.
64, 96, 160
c.
64, 128, 256
d.
46, 92, 184

Answers

Answer:

C.

Step-by-step explanation:

its multiplying each number by 2  

Olivia and Cody both have spinners with the color purple. Olivia determines that the probability of spinning purple on her spinner is 4 out of 12. Cody determines that the probability of spinning purple on his spinner is 3 out of 10. Which of the following statements is true?​

Answers

Olivia will have a 25% chance Cody will have a 30% chance

So the answer would be B

The true statements:

A) Olivia's spinner has the highest probability of spinning purple.

What is the probability?

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Olivia and Cody both have spinners with the color purple.

Olivia determines that the probability of spinning purple on her spinner is 4 out of 12.

That means, 4/12 = 0.33

Cody determines that the probability of spinning purple on his spinner is 3 out of 10.

That means, 4/10 = 0.3

0.33 > 0.3

Therefore, Olivia's spinner has the highest probability of spinning purple.

To learn more about the probability;

brainly.com/question/11234923

#SPJ6

if two fair coins are tossed simultaneously, what are the chances of both coming up 'heads'?​

Answers

Answer:

i think 1/4

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

We name the coins coin 1 and coin 2 for the sake of simplicity.

There are four possible situations:

coin 1 head, coin 2 head

coin 1 head, coin 2 tails

coin 1 tails, coin 2 head

coin 1 tails, coin 2 tails

Only case 1 results in both 'heads'. So the probability is 1/4.

Vocabulary: How are integers and their opposites related? Select all that are true.

Answers

They are either both positive or negative
Example:|-2| |2|

find each sum or difference for 381 1/10 -214 43/100

Answers

Answer:

The circled part is the answer.

Answer:

6789475

Step-by-step explanation:

Carmen deposits $4000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?

Answers

Answer:

$360

Step-by-step explanation:

I = Prt

I = 4000 * 3 * 3%

I = 12000 * 3% (Convert 9000 and 3% into fractions.)

I =12000/1 * 3/100 (100 and 12000 have a GCF of 100)

I = 120/1 * 3/1 (Disregard the over 1 portion.)

I = 120 * 3 (Multiply 120 by 3 to get 360.)

I = $360

how many solutions does 4x8y=-8 x=-2y+1 have

Answers

Answer:

It has no solution

Step-by-step explanation:

I tried to figure it out but I got no solution

Which of the following did you include in your answer? Yes, the graph has been dilated. Using the standard form of the equation, substitute in the values: h = –2, k = 3, x = –1, and y = 0. Solve the equation to get a = –3. Graphically, the parent function follows the pattern of right 1, up 1. Moving 1 unit to the right from the vertex, you can move down 3 units to get to the point (–1, 0), so it has been horizontally compressed.

Answers

Answer: just to press anyone it does not mark you for it lol

Step-by-step explanation:

A restaurant customer left $1.80 as a tip. The tax was 5% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip?​

Answers

Answer:

it's b

Step-by-step explanation:

On a winter morning, the temperature in pittsburgh is -13

Answers

that’s nice to know i guess? i don’t know where you’re trying to go with this-

what is the rule for the reflection

Answers

Answer:

(x,y) ---> (-x,y)  2nd choice

Step-by-step explanation:

reflection: If points reflect across the y-axis, their y-coordinates remain unchanged but their x-coordinates change into their opposites.

The original figure ABCD is reflected on y-axis and we got the image A'B'C'D'. Therefore, option B is the correct answer.

What is the reflection on y-axis?

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

In the given graph, ABCD is the original figure and A'B'C'D' is the image.

Here, A(-2, 1)→A'(2, 1)

B(-4, 1)→B'(4, 1)

C(-4, 5)→C'(4, 5)

D(-2, 4)→D'(2, 4)

Here, the rule is (x, y)→(-x, y)

Therefore, option B is the correct answer.

To learn more about the reflection over y-axis visit:

https://brainly.com/question/15175017.

#SPJ2

There are 8 bones in a large snake for 3 bones in a small snake. The small snake has 150 bones. How many bones does the large snake have?

Answers

Answer:

400!

Step-by-step explanation:

150/3= 50

50*8=400

Answer:

XD lol

Step-by-step explanation:

15 7/8 - 5 3/4




please answer giving brainliest not promising but ill give it to best explained answer!

Answers

First, set ur denominator to lcm which is 8

15 7/8-5 6/8

= 10 1/8

16. What statement can be made about the distance between the vertices of a triangle and the circumcenter?
O the circumcenter is equidistant to all three vertices
the circumcenter is a different distance from each of the triangle's vertices
the circumcenter is closer to the highest vertex of the triangle
the circumcenter is closer to the vertices that make up the triangle's base

Answers

Answer:

O the circumcenter is equidistant to all three vertices

Step-by-step explanation:

Sayid wants to buy 3 sweaters for $37 each and 2 scarves for $11 each.

How much will Sayid
spend on these pieces of
clothing?

Answers

the sweatshirts will be $12.33 and the scarves will be $22 so the answer it will be $34.33

Work out the area of the trapezium ABDE.

Answers

Answer:

(half * base 1 * base 2)/height

base 1 is 6 and base 2 is 9

get the height from similarity

6/9 = 8/CE

therefore CE = 72/6

Answer:

30cm²

Step-by-step explanation:

AE/BD = CE/CD

9/6 = CE/8

CE = 9/6 x 8

CE = 12cm

DE = CE - CD

DE = 12 - 8 = 4 cm

½(6 + 9)4 = 30cm²

Find the point of intersection for the two functions through substitution. Show
your work
f(x) = - 4x + 7
g(x) = 2x + 13
Your answer

Answers

I think answer should be 20 please give me brainlest let me know if it’s correct or not okay thanks bye

Help please I’m begging you

Answers

Answer:

subtract to eliminate y

Answer:

B

Step-by-step explanation:

add to eliminate y

Select all the correct answers. What are the solutions to this equation? 2x2 = -10x + 12​

Answers

Answer:

x=1 and x=-6

Step-by-step explanation:

The sum of four times a number and eight is between zero and twelve. Find the range of numbers.

Answers

2<x<3 or Anything between negative 2 and 3

Step-by-step explanation:

0<4x+8<12

-8<4x<12

-2<x<3

hey please help
just tell me all the ones that work ​

Answers

Answer:

D and A and B i think

Step-by-step explanation:

Level 3: A plumber charges $50 for a service call plus $75 per hour of service. What will be the total cost for 8 hours of work? *
$650
$600
$475
$400

Answers

Answer:

$650

Step-by-step explanation:

$50 + $75(8)

= $50+ $600

= $650

2 cities are 18 inches apart on a map and 30 miles apart in real life whats the scale factor used on the map.

Answers

Answer:

you're scale is 1.6666667

Step-by-step explanation:

because if you do 30 decided by 18 it gives u 1.6666667

Jori is 2 years older than Sage but 4 years younger than Victoria. Sage is 3 years less than a score. Sage is 17. In how many years time will jori be 30 yrs old?
please show explanation​

Answers

Answer:

10

Step-by-step explanation:

if sage is 17 and jori is 2 years older he will be 19 so in 10 years he will be 30

10 the answer to your question

can someone please help me with this by showing work? this is very hard for me so i asked here even though my questions never get responses sometimes

Answers

Answer is 4X^3 Y^5
Steps
4^2 = 16
X^6
Y^10

Answer and Step-by-step explanation:

The square root of 16 times x to the power of 6 times y to the power of 10 is the same as:

[tex]\sqrt{16x^{6} y^{10} } = \sqrt{16} * \sqrt{x^{6} } * \sqrt{y^{10} }[/tex]

The square root of 16 is 4.

The square root of x to the power of 6 is x to the power of 3.

The square root of y to the power of 10 is x to the power of 5.

So, the answer is:

[tex]4x^{3} y^{5}[/tex]

Hope this helps!

#teamtrees #WAP (Water And Plant)

Ben wants to buy a new collar for each of his 5 dogs. The collars come in a choice of 9 different colors. Step 1 of 2 : How many selections of collars for the 5 dogs are possible if repetitions of colors are allowed

Answers

Answer:

59049 ways

Step-by-step explanation:

Given

[tex]Colors = 9[/tex]

[tex]Dogs = 5[/tex]

Required

Determine number of selection (repetition is allowed)

The number of collars is not given.

So, we'll assume that there are enough collars to go round.

If no repetition is allowed, each of the 5 dogs have 9 colours to select from.

i.e.

[tex]Dog\ 1 = 9[/tex]

[tex]Dog\ 2 = 9[/tex]

[tex]Dog\ 3 = 9[/tex]

[tex]Dog\ 4 = 9[/tex]

[tex]Dog\ 5 = 9[/tex]

So, the number of selection is:

[tex]Selection = 9 * 9 * 9 * 9 * 9[/tex]

[tex]Selection = 59049[/tex]

What is 5-2(4a+1)+3a=13

Answers

Step-by-step explanation:

5-2(4a+1)+3a=13

5(4a+1)-2(4a+1)+3a=13

20a+5-8a-2+3a=13

20a-8a+3a+5-2=13

15a-3=13

15a=13+3

a=16

15

hope it helps.

can some one please help me please

Answers

Answer:

x = 65.4

Step-by-step explanation:

I solved this question already. My explanation is here: https://brainly.com/question/20456072

Hope this helped! <3

Other Questions
Which sentence correctly uses an adverbial phrase?A. Although he was tired, John hurried.B. John, a really fast runner hurried.C. John hurried quickly.D. John hurried over the hill. PLEASE HELP ME BRO The number of cups of flour used in a cookie recipe varies directly with the number of cookies made. If 2 cups of flour are used to make 36 cookies, how many cups of flour will it take to make 54 cookies?A. 18B. 3C. 9D. 27 PLEASE HELPPFill in the blanks in the following sentences with the logical word(s). Pay attention to the pronunciation.Spell out the following numbers in french: 1. 200:2. 256:3. 987:4. 875:5. 435:Based on the context, fill in the blanks in the following sentences with either the logical word or the appropriate forms of voir or croire. Say the whole sentence aloud.6. Est-ce que tu crois________Paul va aller au cinma ce soir?7. Elles_________les pommes sur la table.8.________vous aux fantmes?Oui! Vous_________ce fantme, l! Mais non, je ne le___________pas! a noun or a pronoun24. Which answer choice identifies the action verb in the following sentence?We knew they looked different. Yes weknewtheyshig looked A rectangular prism has a length of iom, a height of 2m, and a width of 5m. What isits volume, in cubic m? Compute the density in g/cm? of a piece of metal that has a mass of 0.450 kg and a volume of 52 cm3 at what rate, how long will it take to go 4.5 miles What is 500 divided by 90? (Don't respond if you dont want alot of notifications) Complete the sentences with the correct possessive adjectives.1. ...... (My) sur est trs patiente.2. Marc et Julien adoren ........ (their) cours de philosophie et de maths.3. Nadine et Gisle, qui est ....... (your) amie?4. C'est une belle photo de ........ (their) grand-mre.5. Est-ce que tu as ......... (your) montre?6. Nous voyageons en France avec ......... (our) enfants.7. Est-ce que tu travailles beaucoup sur ....... (your) ordinateur?8. ...... (her) cousins habitent Paris. g A chemist must prepare of hydrochloric acid solution with a pH of at . He will do this in three steps: Fill a volumetric flask about halfway with distilled water. Measure out a small volume of concentrated () stock hydrochloric acid solution and add it to the flask. Fill the flask to the mark with distilled water. Calculate the volume of concentrated hydrochloric acid that the chemist must measure out in the second step. Round your answer to significant digits. pls help meeeeeeif you can I'll give you brainy The following is a student draft. It may contain errors.Two weeks before I started high school, my mother announced we would be moving ... to an entirely different city, halfway across the countryNeedless to say, I was horrified. I had already arranged for a way to avoid taking the bus carpooling with my friend Kwe and had signed up for all myclasses and extracurricular activities. I was certain this new school wouldn't have nearly as many options, and I knew there was no way I was going tobe able to set up a new carpool with only a few days to meet new people.I would be moving away. I wondered, what would this new city be like what would the people be like what would people do with their time? I justcouldn't fathom a life outside of the one I knew and so I began to worry about whether I would be able to fit in.These were the thoughts that haunted me for the next fourteen days, as we packed all our possessions and loaded them into the moving truck, aswe drove two thousand miles across the country, as we settled into our new apartment; and then, as I stood staring at the massive glass doors thatled into the new school I would begin the next day. But as I stood there, hesitant to take another step into this unknown world, I realized somethingthings are never as bad as I think they will be.Which sentence is best to add to the end of paragraph 2 to better support the idea that the author is worried about fitting in?. I was certain everything would be better in the new city, but at the same time I felt like I was leaving my old friends behind topursue newer and much more interesting things.OB. I was excited to learn about the new city we would be moving to including what types of activities were popular there andwhether the other kids enjoyed the same things as people from my hometown.OC. How could my mother pack up our house and talk excitedly about our supposed new adventure, when all I could think aboutwas how miserable I felt and how much I would miss my friends?OD Would the new kids enjoy doing the same things as my friends back home, or would I spend months in some sort of solitaryconfinement pursuing my own interests? what is the English Derivative for the Latin word 'Fibula'? Which statements describe Americas workforce during World War II? Check all that apply.Hundreds of thousands of women signed up for the US military.Women were hired to do jobs traditionally done by men.All forms of discrimination in the workplace were brought to an end.Male workers took on roles that had been done by women in the past.New laws ended discrimination in the government and defense industries.More African Americans and other minority workers were able to find jobs. 4. Alex sold half of his video games and then bought five more. Henow has 22. With how many did he begin? all you need is in the picture below PLEASE HELP QUICK 15 POINTS HELPPPP1. Object B has more mass than Object A. How would the velocity of Object B change if you exertedthe same strength force on Object B as you did on Object A? Why? 6 divided by 3 1/3?1 202 1 4/53 2 what does "a" equal in this problem? 8= 2^a The length, width and height of a rectangular prism is given as 15 cm, 10cm and 5 cm respectively. What is the volume of the prism? *A) 30cm3B)150cm3C)750cm3D)750