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Mandarinka [93]
3 years ago
12

Solve for x 4(x+9)= 3(2x - 7)​

Mathematics
2 answers:
Citrus2011 [14]3 years ago
7 0

Answer:

x = 28.5

Step-by-step explanation:

1. Write the equation

4(x+9) = 3(2x - 7)

2. Distribute

4x + 36 = 6x - 21

3. -4x from both sides

36 = 2x - 21

4. +21 on both sides

57 = 2x

5. Divide 2 on both sides

x = 28.5

ElenaW [278]3 years ago
3 0

Answer: X= 57/2

Hope this helps!

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Ellen saved $2000 and she spent 10% of it to buy a bike. Kim saved 8% more than that of Ellen's left savings. If Lisa saved 60%
enyata [817]

Answer: Lis saved $1166.4 .

Step-by-step explanation:

Given , Ellen saved $2000 and she spent 10% of it to buy a bike.

Then, Ellen's left saving = saved amount - 10% of  (saved amount)

= $2000 - 0.10 x $2000 <em>[We convert perecntage to decimal by diving it by 100]</em>

= $2000 - $200

= $1800

So, Ellen's left saving= $1800

Also, Kim saved 8% more than that of Ellen's left savings.

Kim's Saving = Ellen's left saving + 8% of (Ellen's left saving)

= $1800  + (0.08) x ($1800) <em>[We convert perecntage to decimal by diving it by 100]</em>

= $1800 +  $144

i.e. Kim's Saving= $1944

If Lisa saved 60% as much as Kim, then Lisa's saving  = 60% of (Kim's Saving)

= (0.60) x ($1944) <em>[We convert perecntage to decimal by diving it by 100]</em>

i.e. Lisa's saving = $1166.4

4 0
3 years ago
write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)
olga nikolaevna [1]
Your equation is y= x + 5
7 0
4 years ago
Please help!!! This is one question with a couple parts I am extremely confused and it would be amazing if you could show steps!
Dovator [93]

Answer:

  a)  |n -11| = 5

  b)  n ∈ {6, 16}

Step-by-step explanation:

The wording of the question is ridiculous. We assume it is intended to read, "The distance between two numbers is 5. One of the numbers is 11. What are the possibilities for the other?"

a) The distance between a number (n) and 11 can be written as ...

  |n -11|

Since we want that distance to be 5, we can write the equation ...

  |n -11| = 5

__

b) The equation resolves to two:

  • n -11 = 5
  • n -11 = -5

Adding 11 to both sides of both equations gives ...

  • n = 16
  • n = 6

The two solutions are n=6 and n=16.

_____

<em>Comment on the question statement</em>

Increasingly, we see curriculum materials written in Pidgin English or where the words have a meaning different from that understood by a native English speaker. It appears you are the lucky recipient of such materials, so must do occasional "interpretation". Here, it seems that "two time a number" is intended to mean "two numbers."

4 0
3 years ago
3(2x-5)= 5(x-4)<br>help pls
yan [13]
This is simple simplifying. If you need an explanation dm me.
here is the answer
x=-5
7 0
3 years ago
Read 2 more answers
Applying Rate of change
olga nikolaevna [1]
\bf \begin{array}{ccllll}&#10;minutes(x)&Mbs\ left(y)\\&#10;-----&-----\\&#10;2&38.4\\&#10;8&9.6&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\impliedby \textit{rate of change}&#10;\\\\\\&#10;m=\cfrac{9.6-38.4}{8-2}\implies m=-\cfrac{24}{5}\iff m= -4.8

now, notice, the rate of change for downloading is negative, because, "y" is decreasing,  namely the Mbs to be downloaded, are less and less and less as the minutes go by, because the file is almost fully downloaded

so is -4.8

now... at 8minutes, there are 9.6Mbs to download
bear in mind that 9.6 is just 4.8 * 2
that simply means, another minute, another 4.8 Mbs, and another minute and another 4.8 Mbs and the file is done

so, the file downloaded really in 10minutes

now, we know the rate is -4.8 or -24/5,   let us nevermind the sign for now

since we know the file is downloading at 24Mbs in 5minutes, a rate of 24/5

how much is it for 10 minutes?   well 10 is really just 5 * 2

so if it downloads at a rate of 24Mbs per 5mins, in 10 minutes it downloaded 24*2 or 48Mbs
7 0
3 years ago
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