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Norma-Jean [14]
3 years ago
8

So in my math homework lesson today we are learning “Solve One-Step Problems”. I don’t completely understand how to do it. I was

given an example to try, but again I don’t know how. So if somebody could give me an explanation on this (not the answer please just the explanation).
How long will it take to download a 400.6 MB file if the transfer rate is 25.2 MB/s? Round your answer to the nearest tenth.

If somebody can explain step by step, that would be great!
Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

Step-by-step explanation:

So, in this problem, we're given the size of the of the file. We are also given the rate of change of the amount-downloaded function.

Notice how the transfer rate is in units of time (25.2 MB/s means 25.2 MB per second).

If we want to calculate how <em>long</em> it'll take to download the entire file, we have to divide the file size by the amount of the MB downloaded in one second. (This is assuming the download rate is constant, in the case it isn't constant, you would use calculus) This will find the total number of seconds needed to download the entire file.

We're essentially solving for t in the equation

400.6 = 25.2t

t = \frac{400.6}{25.2} = \frac{2003}{126} = 15.897

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A gym membership costs $25 to join and $14 each month. Write and use an algebraic expression to find the cost of the gym members
lina2011 [118]

Answer:

See below.

Step-by-step explanation:

So we know that a gym membership costs $25 plus $14 each month.

In other words, the one-time cost is $25 and there will be a cost of $14 each month.

We can write this as:

f(x)=14x+25

Where f(x) equals the total cost given the number of months x.

For 6 months, the total cost will be:

f(6)=14(6)+25\\f(6)=84+25\\f(6)=\$ 109

6 0
3 years ago
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4
Dmitry [639]

Answer:

  • \boxed{\sf Standard-form :x + 4y -17=0 }\\

  • \boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

\longrightarrow x + 4y = 7\\

Firstly convert it into <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>c</em><em>e</em><em>p</em><em>t</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>m</u><u>x</u><u> </u><u>+</u><u> </u><u>x</u><u> </u>, as ;

\longrightarrow 4y = -x + 7  \\

\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\

On comparing it to <em>y</em><em> </em><em>=</em><em> </em><em>m</em><em>x</em><em> </em><em>+</em><em> </em><em>c</em><em> </em>, we have ,

\longrightarrow m =\dfrac{-1}{4}\\

\longrightarrow c =\dfrac{7}{4}\\

Now as we know that the <em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>w</em><em>o</em><em> </em><em>p</em><em>a</em><em>r</em><em>a</em><em>l</em><em>l</em><em>e</em><em>l</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em>s</em><em> </em><em>i</em><em>s</em><em> </em><em>s</em><em>a</em><em>m</em><em>e</em><em> </em>. Therefore the slope of the parallel line will be ,

\longrightarrow m_{||)}=\dfrac{-1}{4}\\

Now we may use <em>p</em><em>o</em><em>i</em><em>n</em><em>t</em><em> </em><em>s</em><em>l</em><em>o</em><em>p</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em>m</em><em> </em>of the line as ,

\longrightarrow y - y_1 = m(x-x_1) \\

On substituting the respective values ,

\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\

\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\

\longrightarrow 4(y -5 ) =-1(x +3) \\

\longrightarrow 4y -20 = - x -3 \\

\longrightarrow x + 4y -20+3=0\\

\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\

Again the equation can be rewritten as ,

\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\

\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5  \\

\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4}  \\

\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{  y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\

6 0
2 years ago
The perimeter of a 5-sided figure is 45.56 meters. Two of the sides have the same length. The sum of the other three side length
balandron [24]
10.68 each for the 2 same length sides. The total of the 5 sides is 45.56 less the 3 sides which total 24.2 leaves 21.36 remaining for the 2 equal length sides. So divide 21.36 by 2 = 10.68
(45.56 - 24.2)/2 = 10.68
4 0
2 years ago
Read 2 more answers
Find the range of the data. <br><br> 98, 21, 52, 39, 45 76
Alenkinab [10]

Answer:

77

Step-by-step explanation:

The range of the data is largest number minus smallest number.

98-21

77

8 0
3 years ago
Read 2 more answers
Are all rational equation solutions valid?
Semenov [28]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
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