HELP
Karen's music library contains 18 fewer playlists than Clarann's music library. The total number of playlists on both music libraries is 40. Find the number of playlists on each person's music library.

Answers

Answer 1

Answer:

let Karen's music library be represented by K

let Clarann's music library be represented by C

C = K +18

C +K =40

put C = K +18 into (C +K =40)

K + 18 +K =40

2K +18 = 40

collect like terms

2K =40 -18

2K =22

divide both sides by 2

K =11

since C = K+18

C= 11 +18

C =29

Karen's music library contains 11 playlists while Clarann's music library contains 29 playlists


Related Questions

Given the line below.



Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, 2). Use the box provided to submit all of your calculations and final answers.

Answers

The slope of that line is -1, so m = -1.

The point you were told to use is (-2,2), so point-slope form starts as:

   ( y - 2 ) = -1 • ( x - (-2) )

But we'd clean up that x-(-2) to be x+2.

   y - 2 = -1 ( x+2 )

g(x) = -x2 + 24
For the function g defined above, what is the value of
g(-4)?

Answers

Answer:

[tex]g(x) = - x\\ g( - 4) = - ( - 4) + 24 \\ g( - 4) = 4 \times 2 + 24 \\ g( - 4) =8 + 24 \\ g( - 4) = 32 [/tex]

G(-4)= 40
Explanation
G(x)=-x^2+24
Step 1- g(x)=-(-4)^2+24
Step 2- g(x)= 4^2+24
Step 3- g(x)=16+24
Step 4- g(x)= 40

Find two consecutive even integers such that 4 times the smaller integer is 44 less than 7 times the larger integer

Answers

Answer:

let x be the smaller number.

let x + 2 be the larger number.

4 times the smaller number is 2 more than 3 times the larger number.

in equation form, this becomes:

4x = 3 * (x+2) + 2

simplify this to get:

4x = 3x + 6 + 2 which becomes:

4x = 3x + 8

subtract 3x from both sides of this equation to get:

x = 8

this means that x+2 = 10

the smaller number is 8 and the larger number is 10.

4 times the smaller number is equal to 32.

3 times the larger number + 2 is equal to 32.

requirements of the problem check out ok, so the solution is good.

the smaller number is 8.

the larger number is 10.

Step-by-step explanation:

please mark me as the

Could someone please help to answer this, please no spam, will give brainliest, thank you (Homework help)!!!

Answers

Answer:

Step-by-step explanation:

Which of the expressions bests fits this situation?

Answers

Answer:The answer is option B

Step-by-step explanation:

To get the balance, the amount given to each employee should be multiplied by the total employees then the total surplus should be subtracted from the suplus distributed among the employees to get the remaining surplus

The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept
form that represents the diver's depth over time.

Answers

Answer:1/2 (1 over 2)

Step-by-step explanation:

Answer:

get it from some else pllease

Step-by-step explanation:

type this in

The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept form that represents the diver's depth over time.

You roll a number cube find the probability. P(3 or 4)

Answers

Say the cube has sides numbered 1-6 that means there are 6 possible outcomes. 3 and 4 are only two possible outcomes so the probability of that is 2:6. Simply 1:3 or 33%
Values of cube= 1,2,3,4,5,6 = 6(total)
P(3 or 4) = 2\6 = 1/3 (ans)

( −2 x^3) ^ 3 simplify

Answers

Your answer is -8x^9

Answer:

[tex]-8x^9[/tex]

Step-by-step explanation:

We can split up the exponent into multiple products: [tex](-2x^3)^3=(-2)^3*(x^3)^3[/tex].

We know that [tex](-2)^3=(-2)*(-2)*(-2)=-1*-1*-1*2*2*2=-1*8=-8[/tex].

We also know that [tex](x^3)^3=x^{3*3}=x^9[/tex].

So, our answer is [tex]\boxed{-8x^9}[/tex] and we're done!

Anyone know this question?

Just B please

Answers

Answer:

52% and 7

Step-by-step explanation:

There are 25 squares of which 13 are shaded , then

[tex]\frac{13}{25}[/tex] × 100% = 13 × 4% = 52°

(b)

1 square represents [tex]\frac{1}{25}[/tex] × 100% = 1 × 4% = 4%

Then 80% = 80% ÷ 4% = 20

That is for 80% , 20 squares require to be shaded

That is 7 more than the 13 already shaded

rick used 3 1/8 cups of sugar to make cookies which fraction shows how many 1/8 cups of sugar used to make cookies​

Answers

Answer:

to make cookies you need 1/8 cups of sugar and you have 2 3/4 cups of sugar how many batches could you make?

to make cookies you need 1/8 cups of sugar and you have 2 3/4 cups of sugar how many batches could you make?

Step-by-step explanation:

are flies called flies because they fly- well if that's the case why aren't all other bugs that fly called fly's to that's not fair what if they want to be called by an amazing talent that they have to, smh- dragonfly's and flies get special treatment in the name game and it ait fair
( i was dared to post sum du.mb so yeah um )

Answers

Answer:

Fly is any of a large number of insects characterized by the use of only one pair of wings for flight and the reduction of the second pair of wings used for balance. The term fly is commonly used for almost any small flying insect

Step-by-step explanation

i just searched it up

PLEASE PLEASE PLEASE ANSWER QUICKLY AND EXPLAIN HOW YOU GOT THE ANSWER (No spam answers or ill report you and your account)

Maggie makes some fruit punch. She mixes 2 1/2 quarts of grape juice with 1 1/2 quarts of orange juice. One quart of grape juice costs $1 less than one quart of orange juice. She finds that the total of making the fruit punch is $12.50. Calculate the cost of each quart of grape juice and each quart of orange juice.

Answers

Grape juice(G) is 1$ less than Orange juice (O)
G = O - 1

Orange juice and Grape juice is 12.50 total.
O+G=12.50
or
O+O-1=12.50 since G=O-1

Solve
2O-1=12.50
2O=13.50
o=6.75

The cost is 6.75$ per quart of orange juice

Grape is just 1$ less than that. So 6.75-1 = 5.75. Grape juice costs 5.75 per quart.

We have 2 and 1/2 quarts of grape juice and 1 and 1/2 quarts of orange juice. Or 5/2 and 3/2 to make it easier.

Multiply the amount of quarts with the costs per quart.
5/2*5.75= 14.375

3/2*6.75=10.125

Total costs is
14.375+10.125=$24.5

The answer is it costs about $10.13 for orange and $14.38 for grape.

A real estate agent earns 6% of the selling price of each house he sells. If she sells a home for $250,000, how much of a commission will she make?

Answers

Answer:

$15,000 commission total revenue

Step-by-step explanation:

250000 x 0.06 = 15000

= $15,000

Mike wanted to purchase a bike for $285.00 and
realized the bike was on sale for 30% off. How much
would Mike pay for the bike, before taxes, once the
discount was applied?
A. $85.50
B. $199.50
C. $315.00
D. $370.50

please give me the right answer and i’ll mark you brainiest or whatever. <3 :,)

Answers

Answer: B. $199.50

Step-by-step explanation:

285 x 0.7 = 199.5

Answer is B. $199.50

the width of a rectangle is 3 inches less than its length the perimeter of the rectangle is 26 inches what is the width of the rectangle

Answers

Answer:

5

Step-by-step explanation:

W = x

L = x + 3

P = 2W + 2L

26 = 2(x) + 2(x + 3)

26 = 2x + 2x + 6

26 = 4x + 6

26 - 6 = 4x

20 = 4x

x = 5

12x-2=12x solve for x or is it no solution

Answers

12x - 2 = 12x

Step 1:

12x - 12x = 0

Step 2:

Bring down your -2 and your x

Answer:

x = -2

Square root of 7921....

Answers

Answer:

89

Step-by-step explanation:

Solve the math problem

Answers

Answer:

x = 52°

Step-by-step explanation:

The 124° angle is exterior to the given triangle.

The exterior angle is the sum of non- adjacent interior angles:

x + 72 = 124x = 124 - 72x = 52°

Sum.of two interiors=Exterior

x+72=124x=124-72x=52°

What a 3 digit number that is divisible by both 3 and 4

Answers

120 can be divisible by 3 and 4

If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, and if 5 basketball game tickets and 3 football game tickets were purchased for $55.75, what are the costs of basketball game tickets and football game tickets?

Answers

Answer:

basketball game tickets: $7.25;

football game tickets: $6.50

Step-by-step explanation:

Let B represent the cost of a basketball ticket and F represent the cost of a football ticket.

Amount for basketball ticket plus amount for football tickets equal the total cost.

4B + 5F = 61.50

5B + 3F = 55.75

Choose one equation in the system to solve for a variable.

Solve the first equation for F.

4B + 5F = 61.50  

5F = −4B + 61.50  Subtract 4B from both sides.

F = −0.8B + 12.30  Divide both sides by 5.

Substitute the expression −0.8B + 12.30 for F in the other equation.

5B + 3F = 55.75  

5B + 3(−0.8B + 12.30) = 55.75  Substitute.

5B − 2.4B + 36.90 = 55.75  Distribute.

2.6B + 36.90 = 55.75  Combine like terms.

2.6B = 18.85  Subtract 36.90 from both sides.

B = 7.25  Divide both sides by 2.6.

Substitute the B-value into one of the original equations to solve for F.

4B + 5F = 61.50  

4(7.25) + 5F = 61.50  Substitute.

29 + 5F = 61.50  Multiply.

5F = 32.50  Subtract 29 from both sides.

F = 6.50  Divide both sides by 5.

The cost of a basketball ticket is $7.25, and the cost of a football ticket is $6.50.

The cost of basketball game tickets is $7.15 and football game ticket is $6.5

Let the cost of a basketball game ticket be x

Let the cost of football game ticket be y

If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, hence;

4x + 5y = 61.50 ..................1

If  5 basketball game tickets and 3 football game tickets were purchased for $55.75, hence;

5x + 3y = 55.75 ...........................2

Solving 1 and 2 simultaneously

4x + 5y = 61.50 ..................1 * 3

5x + 3y = 55.75 ...........................2 * 5

_________________________________

12x + 15y = 184.5

25x + 15y = 278.75

Subtract

12x - 25x = 184.5 - 278.75

-13x = -94.25

x = 7.25

Substitute x = 7.25 into equation 1:

From 1:

4x + 5y = 61.50

4(7.25) + 5y = 61.50

29 + 5y = 61.50

5y = 61.50 -29

5y = 32.5

y = 32,5/5

y = 6.5

Hence the cost of basketball game tickets is $7.15 and football game ticket is $6.5

Learn more here:

https://brainly.com/question/15165519

list 21.3 ib 2064 g 16.7 kg 452 oz from least to greatst

Answers

Answer:

2064 g, 21.3 lb, 452 oz, 16.7 kg

Step-by-step explanation:

Let's change all units to grams to be able to compare the amounts.

21.3 lb * 454 g / lb = 9,670.2 g

2064 g = 2064 g

16.7 kg * 1000 g / kg = 16,700 g

452 oz * 1 lb / 16 oz * 454 g / lb = 12,825.5 g

From least to greatest:

2064 g, 21.3 lb, 452 oz, 16.7 kg

Find the coordinates of Cafter a 90° clockwise rotation
around the origin.
(0, -6)
6
(-6,0)
0
(-6, -6)
(6, 6)

Answers

Answer:

(0,-6)

Step-by-step explanation:here the answer


Mike went to the store to buy shirts. The shirts were $45 each. The store was offering the following discount:
Buy 1 shirt at regular
price and get any 2
shirts of the same
price for 40% off!
Mike decided to buy 3 shirts. Not including sales tax, how much money did Mike save by buying the shirts at the discounted price?
$36
$54
$81
$99

Answers

Answer:

Mike saved 54 dollars

Step-by-step explanation:

because 40% of $45 is $18. so that makes the other 2 shirts 27 dollars a piece. so he saves  a lot of money.

PLEASE HELP!! Will mark Brainliest!

This unit is about polynomial and rational functions. What is a polynomial? What is a rational function? Are all polynomials rational functions, why or why not?

Answers

Answer:

What is a polynomial?

  - In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables

What is a rational function?

- In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

Are all polynomials rational functions?

.A function that cannot be written in the form of a polynomial, so no they are not all functions.

At a pet store the ratio of cats to dogs sold was 6 : 5. If there were 12 cats that were sold, how many dogs were sold?

Answers

Ratio of cats to dogs is 6:5.

Which means for every 6 cats sold 5 dogs are sold.

Is 12 cats are sold: 6*2=12
Because we multiply the number of cats sold by 2 we do the same for dogs:
5*2=10.

So, if 12 cats are sold then 10 dogs are sold.
The answer is 10.

Hope this helped.

Line k passes through the point (6, -7) and has a slope m=-= 2 Which is the equation of a line that is parallel to line k and passes through the point (-4, 9)?​

Answers

Answer:

k = -2x + 1

Step-by-step explanation:

Assuming slope is -2 (and not -=2)

9 = -4(-2) + b

9 = 8 + b

b = 1

Pablo is thinking of a number. When he doubles it and then adds 13 the resulting answer is 5.Construct an equation and solve it to determine the number Pablo is thinking of.

Answers

Answer:

x×2+13=5

Step-by-step explanation:

We use x as the unknown number, and we just put what's in the word problem! The answer is in the question.

Equation Set-Up

x×2+13=5

Remember order of operations! (PEMDAS)

Then you solve the equation.

Because of PEMDAS, we know that multiplication is the first thing we have to do.

x×2=2x

So now, our equation looks like this.

2x+13=5

We subtract 13 from the +13 to cancel it out, but that means that we also have to subtract 13 from the 5 on the other side. We are now left with this.

2x=-8

Then, we divide -8 by 2, which gives us...

x=-4

Pablo's number is -4.

I hope I helped! Have a great day.

Tell whether the ordered pair is a solution of the equation. 1. 2x + y^2 = 10; (3,2) 2. 1/2x - 4y = 4; (10,1/2) 3. x^2 + y^2 = 2; (0,1) Help me

Answers

Answer:

it is

Step-by-step explanation:

Evaluate the expression when x = 6 and y = 2:

Answers

Answer:

[tex] \frac{3x + 4}{y} = \frac{3(6) + 4}{(2)} \\ = \frac{18 + 4}{2} = \frac{22}{2} \\ = 11[/tex]

6x - 2 = X + 13 what does X equal?


if you can pls show how you got it

Answers

Answer:

The answer is 3!!

Step-by-step explanation:

Step 1)

6x-2=x+13

6x − 2 + 2 = x + 13 +2

Step2)

6 = + 15

Step3)

6 − =+15−

Step 4)

5=15

Step5)

5x=15

Divide both sides

5x/5 = 15/5

Step 6)

X = 3!!

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