All categories

2 years ago

Your cell phone company charges $0.10 per megabyte of data with a flat fee

Mathematics

2 answers:

zavuch27 [327]2 years ago

8 0

Problem: If you and your friend paid the same amount for the, same number of megabytes, How many megabytes did you each use?

Given facts: company 1 (mine)
$0.10 per megabyte
$10 flat fee

Company 2 (friend)
$0.25 per megabyte
no flat fee.

method: division
Solution: Company 1 Company 2
 $ 0.10 = 1 megabyte $ 0.25 = 1 megabyte
 $10/ $0.10 = 100 megabytes $ 10/$0.25= 40 megabytes

(* using $10 as same payment for both)


Answer: Company 1 Company 2
for $10 = 100 megabytes $ 10= 40 megabytes

laiz [17]2 years ago

5 0

Answer: You and your friend used 66.7 megabytes.

Step-by-step explanation:

Hi, to answer this question we have to write an equation.

Your cell phone company:

y = 10 + 0.10 m

Where:

y: total cost

m = number of megabytes

Your friend's company:

y = 0.25m

If both paid the same, it means that

y = y

And

10 + 0.10m = 0.25m

Solving for m:

10= 0.25m-0.10m

10= 0.15m

10/0.15=m

66.7 =m

You and your friend used 66.7 megabytes.

You might be interested in

A copper smelting process is supposed to reduce the arsenic content of the copper to less than 1000 ppm. let μ denote the mean a

Hitman42 [59]

The rejection region is give by

$|z_{test}|\ \textgreater \ z_{\alpha/2}$

where the test statistics is given by

$\frac{\bar{x}-\mu}{\sigma/\sqrt{n}} = \frac{980-1000}{100/\sqrt{75}} \\ \\ = \frac{-20}{100/8.6603} = \frac{-20}{11.5470} =-1.73$

i.e. $|z_{test}|=|-1.73|=1.73$

Thus, $z_{\alpha/2}=1.73$

Using the statistical table, the level of the test is 0.04.

6 0

2 years ago

Abdullah is a quality control expert at a factory that paints car parts. He knows that 20\ , percent of parts have an error in t

-Dominant- [34]

The error rate has decreased after changing the painting process.

Step-by-step explanation:

Abdulla knows that 20 percent of the parts have an error in their painting. After suggesting changes in painting process, he wants to know whether the error rate has changed.

Number of parts in the random sample=400400400

Number of parts that had an error=606060

We have to determine what percentage of 400400400 is 606060

$606060=x/100 \times 400400400\\=0.15%$

After changing the painting process 0.15% of parts have error.

The previous percentage was 20.Hence the error rate has clearly changed.

3 0

2 years ago

The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth

Julli [10]

Answer:

V = 23π/6

Step-by-step explanation:

V = 2π ∫ [a to b] (r * h) dx

y = −x² + 23x − 132

y = −(x² − 23x + 132)

y = −(x − 11) (x − 12)

Parabola intersects x-axis (line y = 0) at x = 11 and x = 12 ----> a = 11, b = 12

r = x

h = −x² + 23x − 132

V = 2π ∫ [11 to 12] x (−x² + 23x − 132) dx

V = 23π/6

6 0

2 years ago

if 1000 spherical of radius 1 cm are melted to form a bigger bulb. Then find the radius of bigger bulb

never [62]

Answer:

10 cm

Step-by-step explanation:

Given:

No. of small spherical bulb = 1,000

radius (r) of smaller bulbs = 1 cm

Required:

radius of the bigger bulb

SOLUTION:

The following equation represents the relationship of the volume of the smaller and bigger bulb,

$\frac{V_2}{V_1} = 1,000$

Where,

$V_2$ = volume of bigger bulb

$V_1$ = volume of smaller bulb

1,000 is the number of smaller bulbs melted to form the bigger bulb.

Volume of a sphere is given as, ⁴/3πr³

Therefore:

$V_2$ = ⁴/3*π*r³ = 4πr³/3

$V_1$ = ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3

Plug the above values into the equation below:

$\frac{V_2}{V_1} = 1,000$

$\frac{\frac{4*pie*r^3}{3}}{\frac{4*pie}{3}} = 1,000$

$\frac{4*pie*r^3}{3}*{\frac{3}{4*pie} = 1,000$

$\frac{4*pie*r^3*3}{3*4*pie} = 1,000$

$\frac{12*pie*r^3}{12*pie} = 1,000$

$r^3 = 1,000$ (12pie cancels 12 pie)

$r = 10$ (taking the cube root of each side)

Radius of the bigger bulb = 10 cm

3 0

2 years ago

Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than

svlad2 [7]

The perimeter of a rectangle is
2l + 2w
This has to be less than 30 because she has less than 30 inches of wood altogether.
The length must also be "no more than", which means less than or equal to, 12 inches.
Option A satisfies both of these conditions.

5 0

2 years ago