Yun Sil added twice as many new songs on her MP3 player as Matt, who added 5 more new songs on his MP3 player than Sierra. The sum of the

songs added on all three players is 15 more than the cube of the number of songs added on Sierra's player. About how many songs are on each

person's player?

Answers

Answer 1

Answer:

Sierra=2songs

Matt=7songs

Yun SIl=14songs

step-by-step explanation:

Step 1

Let,The number of songs YunSil added = x

Number of songs Matt added = y

And number of songs Sierra added = z

Such that Matt has 5more than Sierra =y = 5 +z

Yun SIl has 2 times more thann Matt, x = 2y

x =2(5+z)=10 +2z

Step 2

The expression used to determine number of songs on each player given that the total of songs added on the three players =15 +z^3

Such that

YunSil+Matt+Sierra==15 +z^3

10+2z+ 5+z +z = 15 +z^3

4z +15 = 15 +z^3

4z=15-15+z^3

4z=+z^3

4=z^3/z

4=z^2

Z=√4 =2

Therefore Sierra has z=2songs

Matt has 5+z=5+2=7songs

YunSil has 2(5+z)= 2x7=14songs

Answer 2

The song that are on each person player are as follows;

matt song = 7

Yung Sil song = 14

Sierra song = 2

Let

a = Matt song added

b = Yun Sil song

c = Sierra song =

Therefore,

b = 2a

a = c + 5

(c + 5 + 2a + c)  - c³ = 15

(2c + 2(c + 5) + 5) - c³ = 15

2c + 2c + 10 + 5 - c³ = 15

4c + 15 - c³ = 15

4c - c³ = 0

c³ = 4c

c² = 4

c = √4

c = 2

a = 2 + 5 = 7

b = 2(7) = 14

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Related Questions

what is the LCM of 6, 17 and 34

Answers

Answer:

102

Step-by-step explanation:

Answer:

It's 102

Glad to help! Your welcome.


What is the y-intercept of the function below?
y= 2x + 7????

Answers

Answer:

(0,7)

Step-by-step explanation:

This equation is already in slope-intercept form, (y=mx+b), where m is the slope, and b is the y-intercept.

From the equation, we see that (0,7) is the y-intercept.

Let me know if this helps!

The ratio of men to women working for a company is 7 to 5. If there are 312 employees total, how many women work for the company

Answers

there would be 130 women working for the company because 5x26=130 and 7x26=182 and 130+182=312

Evaluate the expression 6x+8​ when x=2
The value of the expression is

Answers

20 because 6 times 2 is equal to 12 plus 8 equals 20
Answer: the value of the expression is 20

Work out 3/4 + 4/7 what is the answer to this question

Answers

Answer:

1 and 9/28

Step-by-step explanation:

you need to put everything over the same denominator

21/28+16/28=37/28

this can be written as  1 9/28

Based on the spinner shown, what is the probability of the next spin landing on a vowel?
A
Ή
B
с
F
D
E
Done-

Answers

Answer:

Step-by-step explanation:

Here is the spinner, and the answer would be 1/4.

The probability of the next spin landing on a vowel is 2/7.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A spinner labeled A, H, B, C, F, D, and E.

We know, The ratio of favorable events to unfavorable events for a given event is known as the odds in favor.

The total number of letters is 7 and the number of vowels is 2.

Therefore, The probability that the spinner will land on a vowel is,

= 2/7.

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the mean of two numbers is 7.
the range of these two numbers is 8.

what are these two numbers?

Answers

Answer:
11 and 3

Explanation:
11 + 3 = 14
14 / 2 = 7
Mean = 7

11 - 3 = 8
Range = 8

The unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

What are mean?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

The range of a given set of data is defined as the difference between the largest value and the smallest value.

Given that the mean of two numbers is 7 and the range of these two numbers is 8.

Let the pair of number be 11 and 3

11 + 3 = 14

14 / 2 = 7

Mean = 7

Also, the difference between the numbers are;

11 - 3 = 8

Range = 8

Therefore, the unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

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Neil places £2,000 in a bank account that pays 1.5% simple interest per year.
How much interest will he earn in 6 years?

Answers

Answer:

He will earn £186.89 interest

Step-by-step explanation:

final = original x multiplier^n

final = 2000 x 1.015^6

final = 2186.886528

Interest = final - original

Interest = 186.8865

Please help picture attached.

Answers

Answer:

12

Step-by-step explanation:

Think of this as a normal calculation at first.

Just focusing on the numbers themselves (not the roots) let's do the calculation.

8 × 18 = 144

Let's put the square roots back into play.

√144

And we know what the square root of 144 is (12).

2) A pair of socks is purchased for $3.00 it is then sold for $4.00 What is the percent of change that
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Answers

Answer:

5% change

Step-by-step explanation:

Answer:

33 was the change and it incressed

Step-by-step explanation:

If cot(theta)=1.5 and theta is in quadrant 3, what is the value of sin theta

Answers

[tex]ans = \boxed{ 0.6}[/tex]

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GIVING 50 POINTS TO ANSWER. PLS ANSWER ASAP. I MARK BRAINLIEST.

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Answer:

you can do it !! .. here's how

Step-by-step explanation:

slope = rise / run

pick any two coordinates that the line goes through

set up the equation using the y - coordinates at the top and the x- coordinates on the bottom

subtract the two y - coordinates and then the x-coordinates

then you will get your answer.

hope this helps

Rory scored more than 12 points in his basketball game last night.

Select the inequality and number line that represent the number of points, p, Rory scored.

p > 12
p < 12
p = 12

Answers

Answer:

p > 12, p = 12

Step-by-step explanation:

She said she scored more than 12. It could be equal too.

Answer:

I am late on this but it could help some other people!

Step-by-step explanation:

Option A because it shows that the value of his score is greater than 12.

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Answers

She needs to work 8 hours per hour to work the rate of hours

This question is dealing with rates. Rates are just to show a measure of what we are to use, give or pay e.t.c per time as the case may be.

Britt needs to work 50 hours each month to accomplish her goal.

She wants to make $4,000 and she makes $8 per hour.

This means, amount of hours she need to make $4,000 is;

4000/8 = 500 hours

Since she wants this money over 10 months, it means every month she needs to work; 500/10 = 50 hours per month.

In conclusion, britt needs to work 50 hours each month to accomplish her goal.

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Which value of k can be multiplied by -8 resulting in a product smaller than -8? A. 1/4. B.4. C.-4. D.-1/4

Answers

Answer:

B.) i think

Step-by-step explanation:


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Answers

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Step-by-step explanation:

Answer:

5 is the answer

Step-by-step explanation:

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Answer:

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Answers

Answer: 548 but if you meant to put an x instaed of * it'll be 3x^54+386

Step-by-step explanation:

Answer:

i think 548 or 21

Step-by-step explanation:

Translate each sentence into an equation.
Five more than three-fourths a number is -19. (Solve after please!)

Answers

Step-by-step explanation:

3/4x+5=-19

       -5   -5

3/4x=-24

/ 3/4 / 3/4

x=-32

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Answer:

B

Step-by-step explanation:

below 0 is negative

so -15

In My Knowledge

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5

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You must have x alone

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5

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Answer:

3,o217383737283636666666666678899

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5

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The slope is 2. Divide rise/run

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The slope is 2

Step-by-step explanation:

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You plug the points into the equation which is 2-0/ 2-1.

This will give you 2/1 or just 2.

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Answers

Answer:

B

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Since the graph shows a straight line and not a curved graph, this is a linear equation.

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A tree casts a shadow of 28 feet. At the same time, a biologist who is 7 feet tall casts a shadow of 2 feet.
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O 8 feet
78 feet
14 feet
98 feet

Answers

Answer:

Step-by-step explanation:

7/2 = t/28

t = 98 ft

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base.  The height of the tree is equal to 98 feet.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

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Using the tangent function of the trigonometry, we can write the ratio of the height to the base will be equal because the angle of sun rays is the same for both.

Height of Tree /Shadow of Tree = Height of the biologist / Shadow of the biologist

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Height of the tree = (28×7)/2

Height of the tree = 98 feet

Hence, the height of the tree is equal to 98 feet.

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Solve the simultaneous equations
2x + 4y = 1
3x - 5y = 7
y=1.5 x=
What does x equal

Answers

Answer:

The solution to the system of equations be:

x = 0.5,  y = -0.5

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]

Multiply 2x+4y=1 by 3:      6x+12y=3

Multiply 3x-5y=7 by 2:      6x-10y=14

[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]

subtracting the equations

[tex]6x-10y=14[/tex]

[tex]-[/tex]

[tex]\underline{6x+12y=3}[/tex]

[tex]-22y=11[/tex]

solve -22y for y

[tex]-22y=11[/tex]

Divide both sides by -22

[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]

Simplify

[tex]y=-\frac{1}{2}[/tex]

[tex]y = -0.5[/tex]

For 6x+12y=3 plug in y = -1/2

[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]

[tex]6x-12\cdot \frac{1}{2}=3[/tex]

[tex]6x-6=3[/tex]

Add 6 to both sides

[tex]6x-6+6=3+6[/tex]

[tex]\frac{6x}{6}=\frac{9}{6}[/tex]

Simplification

[tex]x=\frac{3}{2}[/tex]

[tex]x = 1.5[/tex]

Therefore, the solution to the system of equations be:

x = 0.5,  y = -0.5

The ratio of girls to boys in Liza’s classroom is 5 to 4.

How many girls are in her classroom if there is a total of 27 students?

12

9

54

15

Answers

Answer:

15

Step-by-step explanation:

5+4=9

27÷9=3

girl's ratio is 5 so

5×3=15

answer is 15

What is the completely simplified form of the expression 2(1 – 3x) – (5x + 1)?

Answers

Answer:

i think it's 11x-1

Step-by-step explanation:

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

2-6x-5x-1

2-11x-1

11x-1

Question
A tub of margarine measures 4 cm by
6 cm by 10.5 cm
What is the volume of the tub?

Answers

4 cm x 6 cm x 10.5 cm = 252 cm^3

The 14th Street Bakery baked 4562 cookies for an upcoming giveaway. They are giving away 101 boxes of cookies, each with the same amount of whole cookies. Which of the following statements is true?

Answers

Answer:

?? what are the answer choices?

Step-by-step explanation:

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