John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week

Answers

Answer 1

Given :

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.

To Find :

How many weeks will it be before Aiden knows as many songs as john?

Solution :

Let, after x weeks Aiden know a songs and John know j songs.

The linear equation for both the situation is :

a = x + 12       .....( For Aiden )

j = 2x + 4       ......( For John )

We need to find in which week Aiden knows as many songs as John.

For this , a = j

x + 12 = 2x + 4

x = 8

Therefore, in 8th week both of them know the same number of songs.


Related Questions


In which quadrant does the point with c ordinate (4, -3) lie?

Answers

Answer:

4

Step-by-step explanation:

hope the diagram helps haha

find the perimeter using Pythagorean theory

Answers

Answer:

Perimeter: 32

X = 5

Step-by-step explanation:

If you draw a line to make the triangle the longer leg is equal to 4 then the shorter leg is 3 since your subtracting 13 - 10 to get 3 for the shorter leg. you use Pythagorean theorem that would equal 3^2 + 4^2 = 25 if you take the square root of 25 its 5. So now you know x = 5. Then add all the sides together to get the perimeter.

Simplify the expression.

16(1/2x)^4
The simplified expression is

Answers

Answer:

[tex]\large\boxed{\mathtt{x^{4}}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to simplify the expression.}[/tex]

[tex]\large\underline{\textsf{According to PEMDAS;}}[/tex]

[tex]\textsf{We should first remove the exponent by multiplying the values in the parentheses}[/tex]

[tex]\textsf{by themselves 4 times.}[/tex]

[tex]\tt (x+1)^{4}=(x+1)\times(x+1)\times(x+1)\times(x+1)[/tex]

[tex]\textsf{Evaluate the product, then multiply that product by 16.}[/tex]

[tex]\large\underline{\textsf{Remember that PEMDAS is;}}[/tex]

[tex]\textsf{Parentheses first; (?)}[/tex]

[tex]\textsf{Exponents next;} \ \tt y^{2}[/tex]

[tex]\textsf{Multiplication or Division next;} \ \mathtt{ \times / \div}[/tex]

[tex]\textsf{Addition or Subtraction last;} \ \mathtt{ +/-}[/tex]

[tex]\textsf{PEMDAS is \underline{always} in this order.}[/tex]

[tex]\large\underline{\textsf{For our Expression;}}[/tex]

[tex]\tt 16(\frac{1}{2} x)^{4}[/tex]

[tex]\underline{\textsf{This expression is the same as;}}[/tex]

[tex]\tt 16 \times (\frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x)[/tex]

[tex]\textsf{According to PEMDAS, simplify what's in the parentheses first.}[/tex]

[tex]\underline{\textsf{We should have;}}[/tex]

[tex]\tt 16 \times (\frac{1}{16}x^{4})[/tex]

[tex]\textsf{16 and 1/16 are reciprocals, so they \underline{cancel} each other out.}[/tex]

[tex]\large\underline{\textsf{Hence, our final answer should be;}}[/tex]

[tex]\large\boxed{\mathtt{x^{4}}}[/tex]

PLEASE HELP ME WITH ALGEBRA! THANK YOU

Answers

Answer:

She will do 61 sit ups.

Step-by-step explanation:

The number of situps are increasing by 4 each day.

So at this rate...

Day 6: 37

Day 7: 41

Day 8: 45

Day 9: 49

Day 10: 53

Day 11: 57

Day 12: 61

wouldn’t it be 61 sit ups on day 12.

What is the ratio in simplest form between the length of a side in ABCD and the length of its corresponding side in WXYZ? A. B. C. D.

Answers

Answer:

The Answer would be C) 3/4

Step-by-step explanation:

If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.

Answer:

Step-by-step explanation:

Please help!!

Choose whether the sampling is biased or unbiased

Questions are asked of randomly chosen workers at one of ten workplaces

1. Unbiased
2. Biased

The question asked is, “What do you think about the prison system in this state?”

1. Unbiased
2. Biased

The question asked is, “What do you think about the horrible prison system in this state?”

1. Unbiased
2. Biased

Answers

1. biased

2.unbiased

2. biased prisoners should be treated equally and the system is messed up

Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.



What is the surface area of the jewelry box in square inches (sq. in)?

Answers

Length of rectangles = 7 in.

Breadth of 4 rectangles = 3 x 4

                                          = 12 in.

Side of squares = 3 in.

Area of 4 rectangles = length x breadth

                                    = 7 x 12

                              = 84 sq. in.

Area of two squares = 2(side x side)

                                  = 2(3 x 3)

                                  = 18 sq. in.

Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.

                                                                              = 102 sq. in.

determine whether the polygon is concave or convex?​

Answers

Answer: Convex

Step-by-step explanation  

The difference between convex and concave polygons lies in the measures of their angles. Another way to think of it is this: the diagonals of a convex polygon will all be in the interior of the polygon, whereas certain diagonals of a concave polygon will lie outside the polygon, on its exterior .Also If the interior angles of of the polygon are less than 180 degrees, then the polygon is convex. But if any one of the interior angles is more than 180 degrees, then the polygon is concave. T∴×∴T that was a lot

Help me with this pls

Answers

Answer:

C

Step-by-step explanation:

Find the volume for the regular pyramid.

6 cu. units
12 cu. units
4 cu. units

Answers

Answer:

that does not look like a pyramid

Step-by-step explanation:

Answer:

4 cu. units! I just got this right

Step-by-step explanation:

D
Question 2
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
O 3
O 6.7
O 15.7
06

Answers

6.7 because that is the longest side

I have to study for a test. It's for data management. Does anyone have tips? (Grade 7)

Answers

Studying: Use resources.

If your studying for a test, use some resources, like quizizz, quizlet, flashcards, or the internet. If you do, ask your parents for help. Think it like its your big test, and your studying a lot. If you study and try, you'll pass the test on data management. If you need it, ask your teacher for tutoring or practice some data management questions. Studying will help you not to fail a test.

Now, we'll talk about before the test.

Before test: Rest, eat breakfast, and stay calm.

Step-by-step explanation: Going to bed before a test can prevent you from going to sleep. For example, GMAS (for me) is coming soon, and my teacher encourage us to rest, eat breakfast and stay calm. A recommended time for you to go to bed is 8:00-9:30.

Now, about breakfast.

Eating breakfast is also important because you can perform better, in fact, scientists say that if students eat breakfast before a test or exam, they will perform better! Whatever you do, don't skip breakfast. If you do, you won't perform good, and theirs a chance you could fail.

Now, staying calm is the big one.

If your freaking out, stay calm, say a prayer and get your work done! Staying calm is the big one because most students (I am one of them) get worried if they're gonna fail. Keep this in mind: Try. Your. Best. If you don't try, you won't achieve anything. And please don't cheat. If you cheat, you'll have to repeat the whole grade. Can't cheat in college; you'll get kicked out.

During test: DO. NOT. CHEAT.

CHEATING WILL GET YOU KICKED OUT OF COLLEGE AND YOU'LL AUTOMATICALLY FAIL!!! If your computer prevents you from going to other sites, that is good, but don't pull out ANY study guides or notes during your test, unless it's open-notes. If you don't know a questions, skip it and go to the next one. Then go back, it will come to mind later. If your done with your test early, check your answers. Look back and think, "Is this correct?"

Hope you do good on your test!

~ Lily, from Brainly.

Solve the equation.

3x + 2(4x − 6) = 8x + 1

Please help :) also have a good day :D
What is the value for x?

Please enter fractional values in the form ‘a/b’. For example, an answer of [tex]\frac{1}{3}[/tex] will be entered as 3/4.
x =

Answers

Answer:

3x + 2(4x − 6) = 8x + 1

3x + (8x-12)=8x+1

-12=19x+1

-11=19x

-11/19     (Im pretty sure i did this right but at the same time im not, im sorry if i got this wrong)

Answer:

=13/3

Step-by-step explanation:

1. Distribute

3+2(4−6)=8+1

3+8−12=8+1

2. Combine like terms

3+8−12=8+1

11−12=8+1

3. Add 12 to both sides of the equation

11−12=8+1

11−12+12=8+1+12

4. Simplify

11=8+13

5. Subtract 8x from both sides of the equation

11=8+13

11−8=8+13−8

6. Simplify

3=13

7. Divide both sides of the equation by the same term

3=13

3x÷3=13÷3

8. Simplify

If you cancel terms that are in both the numerator and denominator you will get:

=13/3

I hope this helps

. Add+18 and -32
please help urgent

Answers

Answer:

-14 is the answer

Step-by-step explanation:

Since 18+(-32) is the same as 18-32, the answer would be negative. When you subtract 32 by 18, you get 14. Moreover, you have to know which side is greater. If the integer is more on the left, meaning the negative side, then your sum of 18-32 is negative.

I know it's hard for people to understand me but I've tried my best to explain it to you. :)

Harper is a salesperson who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sales and she earns a commission of 1% of the dollar amount of all sales that she makes. Write an equation for P, in terms of x, representing Harper’s total pay on a day which she sells x dollars worth of computers.

Answers

Answer:

Step-by-step explanation:

P = 0.01x+100

2–1 × 22 × 2–1 is equal to

Answers

Answer:

43

Step-by-step explanation:

2-1=1

1x22=22

22x2=44

44-1=43

Giving braileiest lollolololol

Answers

Answer:

did you try googling it? it works for me

Step-by-step explanation:

Help me pleaseeeessss

Answers

Answer:

28/53

Step-by-step explanation:

Hey There!

So they want us to find the sine of angle S

well remember is sohcahtoa

S - sine

O - opposite

H - hypotenuse

meaning that

[tex]Sin=\frac{opposite}{hypotenuse}[/tex]

The opposite side of angle S is 28 and the hypotenuse is 53

so [tex]sinS=\frac{28}{53}[/tex]

Mark is buying a car for $5,750. He is able to make a down payment of $1,500 and will be making monthly payments of $250. Write an explicit rule and use the rule to find out how many months it will take Mark to pay off his car.

Answers

Answer:

5750 = 1500 + 250x

17 months

Step-by-step explanation:

Let x represent the number of months it would take to pay for the car

the total cost of the car is a function of the down payment and the monthly payments

$5750 = $1500 + 250x

to solve for x, collect like terms

5750 - 1500 = 250x

4250 = 250x

Divide both sides by 250 to find x

x = 17 months

Which operation will isolate the variable?

17b = 54 :

addition

subtraction

multiplication

division

Answers

Answer:

Division

Step-by-step explanation:

here's your process

=>. it is your equation 17b = 54

=> now divide 17 on both side

=> then we get 17b/17 = 54/17

=> hence , we get b = 54/17

=>now b is isolated by the method of division

hope it helps

Hi, I am very stuck on questions 17 and 18. Can someone help please? Thanks

Answers

9514 1404 393

Answer:

  17) x = 10√2

  18) x = 4√6

Step-by-step explanation:

These problems rely on your knowledge of the side ratios of special triangles

  45°-45°-90° triangle: 1 : 1 : √2

  30°-60°-90° triangle: 1 : √3 : 2

__

17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:

  x = 10√2

__

18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...

  x = (4√3)(√2)

  x = 4√6

HELP WILL GIVE BRAINLIST IF CORRECT!!!

Under her cell phone plan, Morgan pays a flat cost of $55.50 per month and $4 per gigabyte. She wants to keep her bill at $71.90 per month. How many gigabytes of data can she use while staying within her budget?

Answers

Answer:

4.1

Step-by-step explanation:

You would first subtract 55.50 from 71.90 which leaves you with 16.4,

Then you would divide 16.4 by 4 to find how many gigabytes she could use which gives you 4.1

Hope this helped

Answer:

4.1

Step-by-step explanation:

What integer is closet to n​

Answers

Answer:

Rounding to the Nearest Integer

The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).

Given that £1 = $1.58
a) How much is £920 in $?
b) How much is $553 in £?​

Answers

A) £920 in dollars is approximately around $1,280.84
B) $553 in Pounds is approximately around £192.06.
Sorry if it’s wrong I haven’t done much with dollars and pounds

Find the value of the lettered angles in each of the following ( see image ).

Please show workings.

The only given angles are 60° , 10° , 40°​

Answers

Answer:

Step-by-step explanation:

s + 40 + 60 = 180 {angle sum property}

s + 100        = 180

               s = 180 - 100

               s = 80

This figure is a cyclic quadrilateral. sum of opposite angles are 180

s + v + 60 + 10 = 180

80 + v + 60 + 10 = 180

             v + 150  = 180

                       v = 180 - 150

                      v = 30

y+ 10 + v  = 180 {angle sum property}

    y + 10 + 30 = 180

             y + 40 = 180

                   y = 180 - 40

                  y = 140

       

9514 1404 393

Answer:

  r = 80°, s = 80°, t = 10°, u = 60°, v = 30°

Step-by-step explanation:

Working clockwise from the left side, we can name the points on the circle as A, B, C, D. The given inscribed angles are half the measure of the arcs they intercept, so we have ...

  arc BD = 2×40° = 80°

  arc DA = 2×60° = 120°

  arc CD = 2×10° = 20°

From these measures, we can deduce the measures of the individual arcs as ...

  arc AB = 360° -BD -DA = 360° -80° -120° = 160°

  arc BC = BD -CD = 80° -20° = 60°

Then the angle measures of interest are ...

  r = AB/2 = 80°

  s = AB/2 = 80°

  t = CD/2 = 10°

  u = DA/2 = 60°

  v = BC/2 = 30°


The cost of grapes was $0.75 a pound. Dan bought 4.6 pounds.

Answers

Answer:

$3.45

Step-by-step explanation:

cost of grapes x quantity

Answer:

8.20

Step-by-step explanation:

4x0.75=3

3+4=7

0.6=60%

60% of 0.75= 0.45

0.75+0.45=1.20

7+1.20=8.20

Jackie washed 4 cars. She earned $15 for each car. She spent some of the money, m, to buy CDs. Which expression shows one way to find the amount of this money Jackie had left after she bought the CDs?

Answers

I believe it would be 15(4)-m
15(4)-m is the answer

Which student has the greater median test score?

Answers

Answer:

amy, since the middle term is further up the graph

Step-by-step explanation:

median is the middle term, amy's middle term is further

The measures of Z1 and 22 are 30% and 45% of the sum of the angle measures of the triangle. Find
the value of x.

Answers

Answer:

45 degree or 25%

Step-by-step explanation:

sum of angles of triangle= 180 so

[tex]180*\frac{30}{100}=54[/tex]-----> angle 1

(note: 30% is equal to [tex]\frac{30}{100}[/tex])

[tex]180*\frac{45}{100} =81[/tex]------> angle 2

lets add angle 1 and 2 together

54+81=135

now lets subtract it from 180 to get the remained angle

180-135=45 and if you want it in % so you just get 100%-(30%+45%)= 25%

A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted​

Answers

Answer:

Step-by-step explanation:

P=2K

50K+75P=1200, using P from above makes this equation become

50K+75(2K)=1200

50K+150K=1200

200K=1200

K=6, since P=2K

P=2(6)=12

So 12 puppies and 6 kittens were adopted.

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