1) Nyla had 10 songs in a playlist on her phone. The playlist had two of her favorite artists, Beyonce
and Jennifer Lopez. How many of the songs from each artist could she have?
a) Create an equation to represent this situation. Explain what each of the variables represent.
Equation:
b) List at least five solutions to the equation above. How do you know that these are the
solutions to the equation you created?

Answers

Answer 1

Answer:

a) 10 = X + Y

b) X = 1, Y = 9

X = 2, Y = 8

X = 3, Y = 7

X = 4, Y = 6

X = 5, Y = 5

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.

Step-by-step explanation:

The given parameters are;

The number of songs in the playlist on her phone = 10

The number of authors of the songs on her playlist = 2

The equation that represent the situation is given as follows;

X + Y = 10

Where X represent the number of Beyonce's song on her playlist and Y represent the number of Jennifer Lopez's song on her playlist

b) 5 possible solutions are;

X = 1, Y = 9

X + Y = 1 + 9 = 10

Which gives 1 Beyonce's and 9 Jennifer Lopez's songs

X = 2, Y = 8

X + Y = 2 + 8 = 10

Which gives 2 Beyonce's and 8 Jennifer Lopez's songs

X = 3, Y = 7

X + Y = 3 + 7 = 10

Which gives 3 Beyonce's and 7 Jennifer Lopez's songs

X = 4, Y = 6

X + Y = 4 + 6 = 10

Which gives 4 Beyonce's and 6 Jennifer Lopez's songs

X = 5, Y = 5

X + Y = 5 + 5 = 10

Which gives 5 Beyonce's and 5 Jennifer Lopez's songs

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.


Related Questions

Which expression represents the factored form of 6x2-13-5 ?

Answers

Answer:

For the quadratic trinomial  the following formula

, where  are trinomial roots, holds.

1. For trinomial  find the roots

2. The factoring form is

Answer: correct option is B.

Step-by-step explanation:

Answer:

(2x - 5)(3x + 1)

Step-by-step explanation:

Do you mean 6x^2 - 13x - 5?

6x^2 factors into 6x, x or 3x, 2x

-5 factors into -1, 5 or -5, 1

Use combinations of the factors until you get the correct trinomial.

6x^2 - 13x - 5 = (2x - 5)(3x + 1)

I NEED THE ANSWER NOW

Answers

1/8 is the answer to the question
1/8 is the correct answer

explain how you would find the sign of the quotient 32÷(-2)
/
-16÷4​

Answers

Answer:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Step-by-step explanation:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Cameron is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let C represent the total cost of the gym membership over t months. A graph of C is shown below. Write an equation for C then state the y-intercept of the graph and determine its interpretation in the context of the problem. C=? The y-intercept of the function is _____ which represents?

Answers

Answer:

C= 100+25t

Step-by-step explanation:

The y-intercept of the function is 100 which represents the one-time joining fee.

that is the correct answer, hope it helped!

The y-intercept of the function is 100 which represents a one-time fee to join.

Given that,
Cameron is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let C represent the total cost of the gym membership over t months.
The graph of the function C = 100 +25m is given,

What is the equation?

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
C= 100+25t
Where C represents the total charge,
t represents the number of months as of 25 per month,
And 100 represents the one-time chargeable fee to join.

Thus, the y-intercept of the function is 100 which represents a one-time fee to join.

Learn more about equations here:

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Mr. G drove a total of 252 miles and used 12 gallons of gas last weekend. What is the unit rate of miles to 1 gallon?

Answers

Answer:

21 miles per gallon

Step-by-step explanation:

252 miles to 12 gallons

= 252/12

= 21

The unit rate of miles to 1 gallon is 21 miles to 1 gallon.

Addy is buying a new pair of aeropostale jeans for $40. They are on sale for 25% off. what is the sale price of the jeans?

Answers

Answer:

Step-by-step explanation:

40*25%= 10 off

40-10= $30.00 sale price

Which equation is graphed below? On a coordinate plane, a hyperbola has a curve in quadrant 2 and a curve in quadrant 4. The curve in quadrant 2 enters the grid line at (negative 3, 1) and (negative 0.5, 6). The curve in quadrant 4 enters the plane at (0. 5, negative 6) and (3, negative 1). y = –StartFraction 3 Over x EndFraction y = StartFraction 2 over x EndFraction y = –2square root of x y = 3square root of x

Answers

Answer:

I think the answer is D.

Step-by-step explanation:

thats what i think at least

Answer:

D. y = 3square root of x

Step-by-step explanation:

What equation in slope-intercept form represents the line that passes through the points (1, -6), (-3, 10).

Answers

Slope equation (y2-y1)/(x2-x1)
(10+6)/(-3-1) = 15/ -4 = -3.75
y = -3.75x + b
Plug in any point
-6 = -3.75 + b
b = -2.25
The equation is y= -3.75x - 2.25
I believe, correct me if I’m wrong

Answer:

y = −4x − 2

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Have a Happy Thanksgiving!

Please look at the slope and write the equation for each problem...
Answer this correctly, troll and you will get reported.

Answers

Answer:

7. y-1=4(x-2)

y-1=4x-8

y=4x-7

8. y-2=6(x--7)

y-2=6x+42

y=6x+44

11. y-3=2(x-1)

y-3=2x-2

y=2x+1

12. y-4=-1(x-1)

y-4=-x+1

y=-x+5

Please help!!!!!!!!!!​

Answers

Answer:

D

Step-by-step explanation:

the best answer may be D because 9/3 =3 3×5=15

A town has a population of 17,000 and grows at 3% every year. what will be the population after seven years, to the nearest whole number

Answers

Answer:

20570

Step-by-step explanation:

3% of 17,000 is 510 so 17,000+7(510)=20570

Answer:

3570

Step-by-step explanation:

What two integers are between the square root of 38

Answers

Answer: 38 is not a perfect square.

square root of 38 is 6.164

Step-by-step explanation:

it is between 6 and 7

Answer:

6 and 7

Step-by-step explanation:

Choose the closest perfect squares either side of 38, that is

36 < 38 < 49 , then

[tex]\sqrt{36}[/tex] < [tex]\sqrt{38}[/tex] < [tex]\sqrt{49}[/tex] , that is

6 < [tex]\sqrt{38}[/tex] < 7

Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types at the fastest rate of words per minute?

Answers

Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

[tex]\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}[/tex]

Using this formula, we get

[tex]\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50[/tex]

[tex]\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50[/tex]

[tex]\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55[/tex]

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

What is the geometric mean of 3 and 6

Answers

Answer:

The mean is 4.5

Step-by-step explanation:

u add the numbers and divide by how many numbers there are

Geometric Mean= 4.2426406871193

Which weighs more a 20 pound turkey or 320 ounces of turkey stuffing? How do you know?

Answers

Answer:

They are equal

Step-by-step explanation:

320 oz is 20 pounds:))

Suppose you are interested in testing whether the mean earning of men in California differs significantly from the mean earning of men in New York. If the number of men from California in the sample is 123 and the number of men from New York in the sample is 88, how many degrees of freedom are there?

Answers

Answer:

(123+88)-2= 209

Step-by-step explanation:

Will give brainliest.

Answers

Answer:

y = -2/3x +3

Step-by-step explanation:

What survival rate in the 10th year would make the average rate of loss over the 10-year period equal to 38.0%?

Answers

Answer: 63%

Step-by-step explanation:

First find the rate of loss that would cause the average rate of loss over the 10-year period equal to 38.0%.

Assume that rate is x.

38 = (36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x) / 10

38 = (343 + x ) / 10

380 = 343 + x

x = 380 - 343

x = 37%

The survival rate is the opposite of the rate of loss which means that the survival rate is;

= 1 - rate of loss

= 1 - 37%

= 63%

Y=2x+6
3y-x+3=0

Substitute to solve

Brainliest for correct answer

Answers

Answer:

-21/5 or -4.2

Step-by-step explanation:

y = 2x + 6

3y - x + 3 = 0

Substitute the value for y from the first equation into the second equation.  Solve for x.

3y - x + 3 = 0

3(2x + 6) - x  + 3= 0

6x + 18 - x + 3 = 0

5x + 18 + 3 = 0

5x + 21 = 0

5x + 21 - 21 = 0 - 21

5x = -21

x = -21/5 or -4.2

What is the answer 55 : 60 = ___ : 12

Answers

Answer:

11:12

Step-by-step explanation:

I hoped that i helped u out :)

Answer:

11 is my best guess

Step-by-step explanation:

please help and hurry

Answers

Answer:

3,2

Step-by-step explanation:

Mind maps are a great way of

Please help me i don't understand. I will give points for explanation too.

Answers

Answer:

The first one

Step-by-step explanation:

4x - 3y = 15  .first you subtract the 4x from both sides to get it in correct form

-3y = -4x + 15 . Then you divide both sides by -3 to isolate the y

y = 4/3x - 5  . Then you are left with this answer

Answer:

y = 4/3x - 5 (first answer on your photo)

Step-by-step explanation:

4x - 3y = 15

4x - 3y = 15 (we use -4x)

-3y = 15 - 4x (divide by -3)

y = 4/3x - 5

In isosceles ABC, AB=AC. if B=55,calculate A​

Answers

Answer:

Two base angles of an isosceles triangles are equal.

55 + 55 + a = 180  

110 + a = 180

a = 180-110

a = 70

A 40-degree angle is translated 5 inches along a vector. What is the angle measurement, in degrees, of the Image?

Answers

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

rewrite the equation in slope intercept form : y - 3 = 4(x+2)

Answers

Answer: y=4x+11

Step-by-step explanation:

hurry please!!
You drive a delivery truck. This week, your daily mileage totals were 215, 183, 258, 192, and 75 miles. The standard deviation for the data is 60.6, and the range is 183.

Which measure of center is most appropriate, and what is the value of the measure of center?

mean; 140

mean; 145

median; 192

mean; 258

median; 258​

Answers

Answer:

Median is 192! because medians are the numbers right in the middle after the numbers are out in numerical order

What is the first step in simplifying the expression 11x - 2 - 3(1 -7x)^2

Answers

Answer:

multiply 3 by the one and -7x

can you put this as the brain list because i need one more to level up

Step-by-step explanation:

Answer: Apply the exponent

Step-by-step explanation: Remember the acronym PEMDAS. Since you can't simplify the parentheses, move on to applying the exponent 2 to (1 - 7x)

Which of these angles listed is vertical to Which of these angles listed is a linear pair to

Answers

Angle XZY *may be written as YZX* is vertical to angle VZU
UZY *may be written as YZY* is a linear pair to angle VZU

HEYO! so i have this problem that needs to be solved and not feeling good doesn't help either lol. So here it is....


what is 14/25 in simplest form?

Answers

Answer:

0.56

Step-by-step explanation:

Answer:

14/25

Step-by-step explanation:

Because you cant divide both of them by the same number.

A point is rotated 270° about the origin. The image of the point is (-11,7). What are the coordinates of the preimage?
Choose the correct answer below.
O A. (11)
B. (7. - 11)
O C. (11,7)
OD. (-7, -11)

PLEASE HURRY

Answers

Answer:

The correct answer is C(11,7)

Step-by-step explanation:

I had this question and got it right lol

The required coordinates of the preimage are (-7, 11) when the point is rotated 270° about the origin.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

We have been given that a point is rotated 270° about the origin. The image of the point is (-11,7).

The coordinates of the preimage would be :

x  = x cos θ + y sin θ

y = x sin θ + y cos θ

Here x = -11 ,y = 7 and θ = 270°

Substitute the values in the above equations,

x  = (-11) cos 270° + 7 sin 270° = -7

y = (-11) sin 270° + 7 cos 270° = 11

Therefore, the required coordinates of the preimage are (-7, 11).

To learn more about the transformations click here :

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