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Lelechka [254]
4 years ago
15

Krystal and Danielle each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Kr

ystal spent $114 on 1 daylily and 12 pots of ivy. Danielle spent $150 on 10 daylilies and 10 pots of ivy. Find the cost of each item.
Mathematics
1 answer:
Eddi Din [679]4 years ago
6 0

Answer:

  • $9 and $6

Step-by-step explanation:

<u>Let the cost of daylilies = d and ivy = i, then we have below equations:</u>

  • d + 12i = 114
  • 10d + 10i = 150

<u>Simplify the second equation:</u>

  • d + i = 15

<u>Subtract the second equation from the first:</u>

  • d - d + 12i - i = 114 - 15
  • 11i = 99
  • i = 9, ivy costs $9

<u>Now find d:</u>

  • d = 15 - 9 = 6, daylilies cost $6

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Finding Derivatives Implicity In Exercise, find dy/dx implicity.<br> x2 - 3 ln y + y2 = 10
Veseljchak [2.6K]

Answer:

\frac{dy}{dx}=-\frac{2xy}{2y^2-3}

Step-by-step explanation:

We are given that

x^2-3lny+y^2=0

Differentiate w.r.t x

2x-\frac{3}{y}\frac{dy}{dx}+2y\frac{dy}{dx}=0

By using formula

\frac{dx^n}{dx}=nx^{n-1}

\frac{d(lnx)}{dx}=\frac{1}{x}

\frac{dy^n}{dx}=ny^{n-1}\frac{dy}{dx}

\frac{dy}{dx}(-\frac{3}{y}+2y)+2x=0

\frac{dy}{dx}(-\frac{3}{y}+2y)=-2x

\frac{dy}{dx}=-\frac{2x}{-\frac{3}{y}+2y}

\frac{dy}{dx}=-\frac{2xy}{2y^2-3}

Hence, the derivative of function

\frac{dy}{dx}=-\frac{2xy}{2y^2-3}

8 0
4 years ago
Eight years from now,Oana will be twice as old as her brother is now. Oana is now 12 years old.How old is her brother now?
makkiz [27]
Her brother is 10 years old
4 0
3 years ago
Read 2 more answers
Please help asap. I dont have much time left
loris [4]

Answer:

77

Step-by-step explanation:

5.5 * 3.5 * 1 = 19.25

0.5 * 0.5 = 0.25

19.25 ÷ 0.25 = 77

3 0
3 years ago
Plz help 20 points if you get it right and I will give you brainliest
krek1111 [17]

Answer:

The first one cannot be simplified

reason: usually when simplifying an expression you combine like terms but in the given expression there are no like terms

An example of like terms would be 6a and 9a

Essentially what i am saying is that the variables have to be the same in order for them to be combined

The second one is 36r

This is the answer because they tried to combine like terms that aren't similar

r and f are not the same variable therefore they cannot be combined

Hope this helps :)

5 0
3 years ago
Read 2 more answers
What is n/2 - 10 = -8
AlexFokin [52]

Answer: n=4

<u>Simplify both sides of the equation</u>

<u></u>\frac{1}{2}n+-10=-8\\\frac{1}{2}n-10=-8<u></u>

<u></u>

<u>Add 10 to both sides</u>

<u></u>\frac{1}{2}n-10+10=-8+10\\\frac{1}{2}n=2<u></u>

<u></u>

<u>Multiply both sides by 2</u>

<u></u>2*(\frac{1}{2}n)=2*2\\n=4<u></u>

4 0
4 years ago
Read 2 more answers
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