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Maru [420]
3 years ago
10

You and your friends are going to McDonald's for burgers and fries, and you need to decide between two deals that are being offe

red. The first deal is getting 4 burgers at b dollars each and 3 fries at f dollars each, which will cost you $26. The other deal is getting 2 burgers at b dollars each and 5 fries at f dollars each, which will cost you $20. What is the cost of each burger and each fries?
Mathematics
1 answer:
Leto [7]3 years ago
4 0

Answer: the first deal

Step-by-step explanation:

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What is the decimal equivalent of -11/9
Aneli [31]
The decimal answer of -11/9 would be -1.22 with the .22 repeated.
4 0
3 years ago
Dy/dx = 2xy^2 and y(-1) = 2 find y(2)
Anarel [89]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2887301

—————

Solve the initial value problem:

   dy
———  =  2xy²,      y = 2,  when x = – 1.
   dx


Separate the variables in the equation above:

\mathsf{\dfrac{dy}{y^2}=2x\,dx}\\\\
\mathsf{y^{-2}\,dy=2x\,dx}


Integrate both sides:

\mathsf{\displaystyle\int\!y^{-2}\,dy=\int\!2x\,dx}\\\\\\
\mathsf{\dfrac{y^{-2+1}}{-2+1}=2\cdot \dfrac{x^{1+1}}{1+1}+C_1}\\\\\\
\mathsf{\dfrac{y^{-1}}{-1}=\diagup\hspace{-7}2\cdot \dfrac{x^2}{\diagup\hspace{-7}2}+C_1}\\\\\\
\mathsf{-\,\dfrac{1}{y}=x^2+C_1}

\mathsf{\dfrac{1}{y}=-(x^2+C_1)}


Take the reciprocal of both sides, and then you have

\mathsf{y=-\,\dfrac{1}{x^2+C_1}\qquad\qquad where~C_1~is~a~constant\qquad (i)}


In order to find the value of  C₁  , just plug in the equation above those known values for  x  and  y, then solve it for  C₁:

y = 2,  when  x = – 1. So,

\mathsf{2=-\,\dfrac{1}{1^2+C_1}}\\\\\\
\mathsf{2=-\,\dfrac{1}{1+C_1}}\\\\\\
\mathsf{-\,\dfrac{1}{2}=1+C_1}\\\\\\
\mathsf{-\,\dfrac{1}{2}-1=C_1}\\\\\\
\mathsf{-\,\dfrac{1}{2}-\dfrac{2}{2}=C_1}

\mathsf{C_1=-\,\dfrac{3}{2}}


Substitute that for  C₁  into (i), and you have

\mathsf{y=-\,\dfrac{1}{x^2-\frac{3}{2}}}\\\\\\
\mathsf{y=-\,\dfrac{1}{x^2-\frac{3}{2}}\cdot \dfrac{2}{2}}\\\\\\
\mathsf{y=-\,\dfrac{2}{2x^2-3}}


So  y(– 2)  is

\mathsf{y\big|_{x=-2}=-\,\dfrac{2}{2\cdot (-2)^2-3}}\\\\\\
\mathsf{y\big|_{x=-2}=-\,\dfrac{2}{2\cdot 4-3}}\\\\\\
\mathsf{y\big|_{x=-2}=-\,\dfrac{2}{8-3}}\\\\\\
\mathsf{y\big|_{x=-2}=-\,\dfrac{2}{5}}\quad\longleftarrow\quad\textsf{this is the answer.}


I hope this helps. =)


Tags:  <em>ordinary differential equation ode integration separable variables initial value problem differential integral calculus</em>

7 0
3 years ago
Richard s kitchen floor measures 22 ft by 16ft. He plans on laying title down and each tile piece measures 16 inches by 16 inche
olya-2409 [2.1K]
We calculate the floor area of the kitchen:
 A = (22) * (16)
 A = 352 feet ^ 2
 We consider the following conversion:
 1 foot = 12 inches.
 Applying the conversion we have:
 A = 352 * (12/1) ^ 2
 A = 50688 in ^ 2
 We calculate the area of each tile:
 A = (16) * (16)
 A = 256 in ^ 2
 Then, the number of tiles is given by:
 N = (50688) / (256)
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 Answer:
 He
 needs to buy 198 tiles
3 0
3 years ago
What is the length of the altitude of the equilateral triangle below?
balandron [24]

\bf \textit{height or altitude of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{length~of}{a~side}\\ \cline{1-1} s=8\sqrt{3} \end{cases}\implies h=\cfrac{8\sqrt{3}\cdot \sqrt{3}}{2}\implies h=\cfrac{8\sqrt{3^2}}{2} \\\\\\ h=4\cdot 3\implies h=12

3 0
3 years ago
Sara threw her math book off a building . The height of the book, seconds after being thrownis modeled by the equation below. Th
Vikentia [17]

Answer: 70 ft

Step-by-step explanation:

Given

height of book is measured by the function is

h(x)=-5(x+2)(x-7)

when the book is thrown x=0

\therefore h(x=0)=-5(0+2)(0-7)\\\Rightarrow h(x=0)=70\ ft

The height of the book is 70\ ft

4 0
2 years ago
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