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user100 [1]
1 year ago
7

6. Samantha works twice as many hours per week as Adriana. Together they work a total of 39 h one week. a) State how you will as

sign variables. b) Write an equation to represent the information in the first sentence. c) Write an equation to represent the information in the second sentence. d) Use the method of substitution to find the number of hours worked by each person.
Mathematics
1 answer:
prohojiy [21]1 year ago
7 0

Answer:

Samantha worked 26 hours and Adriana worked 13 hours.

Step-by-step explanation:

Let s = the number of hours that Samantha worked

Let a = the number of hours that Adriana worked

s = 2a

s + a = 39

2a + a = 39

3a = 39

a = 13

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The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

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<h3>Division of Numbers</h3>

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

x = \frac{3300}{150}=22

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

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4 0
2 years ago
Sin(xy)-x=0 find dy/Dx
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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
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 dx                               dx


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

  d
—— [ sin(xy) ]  –  1  =  0
 dx

  d
—— [ sin(xy) ]  =  1
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                   d
cos(xy)  ·  —— (xy) = 1
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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}\\\\\\&#10;\mathsf{cos(xy)\cdot \left[1\cdot y+x\cdot \dfrac{dy}{dx}\right]=1}\\\\\\&#10;\mathsf{y\,cos(xy)+x\,cos(xy)\cdot \dfrac{dy}{dx}=1}


              dy
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                   dy
x cos(xy) · ——  =  1 – y cos(xy)
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Assuming  x cos(xy) ≠ 0,

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


I hope this helps. =)

4 0
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