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3 years ago

11

The table below shows the cost of downloading songs from a website. Number of Songs Total Cost 8 $2.08 10 $2.60 14 $3.64 What is

the constant of proportionality between the total cost and the number of songs? Answer: $ per song

1 answer:

algol133 years ago

8 0

Answer:

.26 per song

Step-by-step explanation:

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Enter the addition problem so the fractions have a common denominator. Then find

sveticcg [70]

Answer:

7/10

Step-by-step explanation:

1/10 + 3/5

1/10 + 6/10

7/10

4 0

3 years ago

A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

$h=\frac{V}{l^2}$

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

5 0

3 years ago

Solve -10=4x show work please :D

RideAnS [48]

Answer:

-2.5 = x

Step-by-step explanation:

-10 = 4x

the equation between 4 and x is multiplication

as our goal is to move the x on its separate side, we should divide each side by 4 to get rid of the bond between the 4 and the x

Therefore,

-10 = 4x

-10/4 = x

Simplify into decimal if needed

-2.5 = x

Hope that helped!!! k

4 0

3 years ago

Read 2 more answers

Prove that the value of the expression does not depend on a:<br><br> a−(6a−(5a−8))

djyliett [7]

Step-by-step explanation:

a−(6a−(5a−8))

a-(6a-5a+8)

a-6a+5a-8

6a-6a-8

0-8

=-8

so the answer doesn't depend on a

3 0

3 years ago

What is the value of ?<br> –4<br> –2<br> 2<br> 4

Nastasia [14]

I think its -2
or 2
♡☆

7 0

3 years ago

Read 2 more answers