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Debora [2.8K]
3 years ago
10

There are two different music download companies that offer a monthly plan for downloading songs. S-Jams charges $1.29 per song

plus $10 monthly fee. C-tunes charges $0.99 per song plus $16 monthly fee. Write an expression for the cost of S-Jams.
Mathematics
2 answers:
bazaltina [42]3 years ago
6 0

Answer:

y=1.29x+10

Step-by-step explanation:

y=mx+b

marin [14]3 years ago
4 0

Answer:1.29x+10

Step-by-step explanation the number of songs is unknown and the answer so this is the smallest possible answer

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The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and ar
Ivenika [448]

Given:

  • the perimeter of a rectangular field is 84 yards
  • the ratio of the length to the width is 2:1

To find:

  • the length
  • the width
  • the area

Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

Perimeter = 2 × (Length + Width)

Substituting the values that we have, into the formula above,

84 = 2 × (2x + 1x)

84 = 2 × 3x

84/2 = 3x

42 = 3x

x = 42/3

x = 14

Since we know the value of 'x', let's use it to find the length and the width.

Length = 2x = 2 × 14 = 28

Width = 1x = 1 × 14 = 14

Since we now know the length and the width, let's find the area of the rectangle.

The formula to find the area of a rectangle:

Area = Length × Width

Substituting the values we have into the formula,

Area = 28 × 14

Area = 392

Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

4 0
3 years ago
Suppose that a large mixing tank initially holds 100 gallons of water in which 50 pounds of salt have been dissolved. Another br
Serggg [28]

Answer:

dA/dt = 12 - 2A/(100 + t)

Step-by-step explanation:

The differential equation of this problem is;

dA/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 4 lb/gal

Input rate of brine = 3 gal/min

Thus;

R_in = 4 × 3 = 12 lb/min

Due to the fact that solution is pumped out at a slower rate, thus it is accumulating at the rate of (3 - 2)gal/min = 1 gal/min

So, after t minutes, there will be (100 + t) gallons in the tank

Therefore;

R_out = (concentration of salt in outflow) × (output rate of brine)

R_out = [A(t)/(100 + t)]lb/gal × 2 gal/min

R_out = 2A(t)/(100 + t) lb/min

So, we substitute the values of R_in and R_out into the Differential equation to get;

dA/dt = 12 - 2A(t)/(100 + t)

Since we are to use A foe A(t), thus the Differential equation is now;

dA/dt = 12 - 2A/(100 + t)

5 0
2 years ago
HELP!!!!! write the equation below the represents the line passing through the point (-3, -1) negative one with a slope of 4
omeli [17]

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-1})~\hspace{10em} slope = m\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-1)=4[x-(-3)] \\\\\\ y+1=4(x+3)\implies y+1=4x+12\implies y=4x+11

7 0
3 years ago
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Solve for xxx.<br> x=x=x, equals
Sever21 [200]

Answer: The answer is of course, 3.

Step-by-step explanation:

7 0
2 years ago
What is the value of x? <br><br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%20x%20-%20%20%5Cfrac%7B1%7D%7B10%
NeTakaya

Answer:

x = \frac{1}{2}

Step-by-step explanation:

Given

\frac{4}{5} x - \frac{1}{10} = \frac{3}{10}

Multiply through by 10 ( the LCM of 5 and 10 ) to clear the fractions

8x - 1 = 3 ( add 1 to both sides )

8x = 4 ( divide both sides by 8 )

x = \frac{4}{8} = \frac{1}{2}

6 0
3 years ago
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