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Kobotan [32]
2 years ago
7

How do I solve proportions? Here’s my questions: 1. x/8=5/16 2. 5/12=15/x

Mathematics
1 answer:
Flura [38]2 years ago
7 0

Proportions are very simple once you get the hang of them! What you do is cross multiple. :)

1. x/8=5/16

You first start by multiplying x and 16

Then multiply 5 and 8

So now you have 16x=40

Finally divide 16 from each side

You get: x+0.4!

2. 5/12=15/x

Remember to cross-multiply!

Now we have 5x=180

Next divide 5 from each side

You get: x=36!

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Which expression has a value of 20?
Mice21 [21]

Answer:

the fist one is equal to 20

8 0
3 years ago
Tickets prices for a science museum are $18 for adults and $12 for students. If $162 is collected from a group of 12 people, how
riadik2000 [5.3K]
X=number of adults, y= number of students

x+y=12
18x+12y=162

You can simplify the second equation by dividing by six: 3x+2y=27
Rearrange the first equation: y= 12-x. Plug y into the simplified second equation:

3x+2(12-x)=27
3x-2x+24=27
x=3.

Plug the now known x value into y=12-x. So y= 9.
Therefore, there are 3 adults and 9 students.

6 0
3 years ago
Sin(xy)-x=0 find dy/Dx
MariettaO [177]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2989024

——————————

You have  y  as an implicit function of  x:

sin(xy) – x = 0


Use implicit differentiation. As  y  is a function of  x, then you must apply the chain rule there:

  d                                 d
—— [ sin(xy) – x ]  =  —— (0)
 dx                               dx


  d                           d               d
—— [ sin(xy) ]  –  —— (x)  =  —— (0)
 dx                         dx             dx

  d
—— [ sin(xy) ]  –  1  =  0
 dx

  d
—— [ sin(xy) ]  =  1
 dx
 
                   d
cos(xy)  ·  —— (xy) = 1
                  dx


Now, apply the product rule for that last derivative:

\mathsf{cos(xy)\cdot \left[\dfrac{d}{dx}(x)\cdot y+x\cdot \dfrac{dy}{dx}\right]=1}\\\\\\
\mathsf{cos(xy)\cdot \left[1\cdot y+x\cdot \dfrac{dy}{dx}\right]=1}\\\\\\
\mathsf{y\,cos(xy)+x\,cos(xy)\cdot \dfrac{dy}{dx}=1}


              dy
Isolate  —— :
              dx

                   dy
x cos(xy) · ——  =  1 – y cos(xy)
                   dx


Assuming  x cos(xy) ≠ 0,

 dy          1 – y cos(xy)
——  =  ————————    <———    this is the answer.
 dx            x cos (xy)


I hope this helps. =)

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B-2x%5E%7B2%7D%20%7D%7B-4x%5E%7B2%7D%20%7D" id="TexFormula1" title="\frac{-2x^{2} }{-
kakasveta [241]
Are you looking to simplify it? If so I think the answer would be 1/2.
7 0
2 years ago
What is -5/4 divided by 2 3/5
serious [3.7K]
If the question is like this -5/4÷2/3/5 then the answer is -25/52
3 0
3 years ago
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