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zalisa [80]
3 years ago
12

50 POINTS! Show All Work!

Mathematics
2 answers:
olasank [31]3 years ago
7 0

Let the number of chickens = c.

Let the number of pigs = p.

A chicken has 1 head and 2 legs.

c number of chickens have c heads and 2c legs.

A pig has 1 head and 4 legs.

p number of pigs have p heads and 4p legs.

There are 40 heads.

Equation for heads:

c + p = 40

There are 110 legs.

Equation for legs:

2c + 4p = 110

System of equations:

c + p = 40

2c + 4p = 110

Solve the first equation of the system of equations for c:

c = 40 - p

Substitute 40 - p for c in the second equation:

2c + 4p = 110

2(40 - p) + 4p = 110

80 - 2p + 4p = 110

80 + 2p = 110

2p = 30

p = 15

Now substitute p = 15 in the first equation to find c.

c + p = 40

c + 15 = 40

c = 25

There are 25 chickens and 15 pigs.

vichka [17]3 years ago
4 0

Answer:

There are 25 chickens and 15 pigs. I did my research/work outside of brainly. Don't worry, the person above me also got the same answer so we're all good. Either way, I hope this helps you! :)

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Help with 30 please. thanks.​
Svet_ta [14]

Answer:

See Below.

Step-by-step explanation:

We have the equation:

\displaystyle  y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}

And we want to show that:

\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}

Instead of differentiating directly, we can first square both sides:

\displaystyle y^2 = 3e^{2x} -4x + 1

We can find the first derivative through implicit differentiation:

\displaystyle 2y \frac{dy}{dx}  = 6e^{2x} -4

Hence:

\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}

And we can find the second derivative by using the quotient rule:

\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}

Substitute:

\displaystyle y\left(\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\right) + \left(\frac{3e^{2x}-2}{y}\right)^2 =6e^{2x}

Simplify:

\displaystyle \frac{6y^2e^{2x}- \left(3e^{2x} -2\right)^2}{y^2} + \frac{\left(3e^{2x}-2\right)^2}{y^2}= 6e^{2x}

Combine fractions:

\displaystyle \frac{\left(6y^2e^{2x}-\left(3e^{2x} - 2\right)^2\right) +\left(\left(3e^{2x}-2\right)^2\right)}{y^2} = 6e^{2x}

Simplify:

\displaystyle \frac{6y^2e^{2x}}{y^2} = 6e^{2x}

Simplify:

6e^{2x} \stackrel{\checkmark}{=} 6e^{2x}

Q.E.D.

6 0
3 years ago
Note: Enter your answer and show all the steps you use to solve this problem in the space provided.
Alex Ar [27]

Answer:

(67/100)×(3/10)= (67x3)/(100×10)=201/1000=201/1000=0.201

7 0
3 years ago
G is the centroid of triangle ABC.
AleksAgata [21]

Answer:

  • x = 37
  • DG = 22
  • AG = 44
  • AD = 66

Step-by-step explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

  (x+7) = 2(x -15)

  x + 7 = 2x - 30 . . . . eliminate parentheses

  37 = x  . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Of course, AD = AG +GD = 44 +22 = 66

7 0
3 years ago
Read 2 more answers
Ribbon sells for $3.75 per yard. Find the cost, in dollars, for 48 inches of ribbon.
Leto [7]

Answer:

4.9875

if rounding then 5 dollars

Step-by-step explanation:

7 0
4 years ago
Simone saved $65.35 more than her brother Dan and $37.50 less than her sister Carly. Carly saved $127.75. Write and solve equati
elena55 [62]
Siamone has $65.32 + DAN 
Dan has CARLY - $37.50
CARLY = $127.75 
Plug Carly into Dan's equation... 
$127.75 - $37.50 = $90.20
DAN = $90.20
Plug Dan into Siamone's equation
$65.32 + $90.20 = $155.57
5 0
3 years ago
Read 2 more answers
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