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Evgesh-ka [11]
3 years ago
14

3.9p − 7.53 = 8p + 9.77 + 8.94

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

The answer is P= -6.4 Good luck

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melanie has 137 dollars to spend on 17 books. After buying them she had 11 dollars. How much did each book cost?
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Melanie has 137 dollars in total.

Let each book cost=x

No of books=17

So total cost of 17 books=17x

After buying books Melanie left with 11 dollars

According to question the required equation will be=

17x+11=137

17x=137-11=126

x=8

i.e Price of each book is 8 dollars. (Answer)

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A particle moves on the circle x2 y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=
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The movement of the particle on the circle is its displacement.

The value of dy/dt at this time is -9/2.

<h3>What is the differentiation?</h3>

Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.

A particle moves on the circle x^2 + y^2=25 in the XY-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6.

The equation of the circle is given as:

\rm x^2 + y^2=25

Differentiate with respect to time

\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0

Substitute all the values in the equation

\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0\\\\2(3) \times 6+2(4)\times \dfrac{dy}{dt}=0\\\\ 6 \times 6+8 \times \dfrac{dy}{dt}=0\\\\  36+8\times \dfrac{dy}{dt}=0\\\\ 8\times \dfrac{dy}{dt}=-36\\\\ \dfrac{dy}{dt}= \dfrac{-36}{8}\\\\ \dfrac{dy}{dt}= \dfrac{-9}{2}

Hence, the value of dy/dt at this time is -9/2.

Learn more about differentiation here;

brainly.com/question/19385433

#SPJ4

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