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Art [367]
3 years ago
15

At the corner store near Billy’s

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer:

d = 0.0175n    ---> required equation

Billy can buy 285.714 gram nut with $5

Step-by-step explanation:

cost of 100g loose nut = $1.75

dividing LHS and RHS by 100

cost of 100/100g loose nut = $1.75

Thus, cost of 1 gm loose nut = $0.0175

let the weight of loose nut be n gm

Multiplying LHS and RHS by n

cost of x g loose nut = $0.0175*n =  $0.0175n

It is given that Billy spent d dollars to buy n gm nuts

thus,

d = 0.0175n    ---> required equation

________________________________________________

He spent $5 to buy nuts

substituting value of d as 5 we have

0.0175n = 5

=>n = 5/0.0175 = 285.714

Thus, Billy can buy 285.714 gram nut with $5.

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Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v
k0ka [10]

I'll use subscript notation for brevity, i.e. \frac{\partial f}{\partial x}=f_x.

By the chain rule,

z_u=z_xx_u+z_yy_u

z_v=z_xx_v+z_yy_v

z_w=z_xx_w+z_yy_w

We have

z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}

and

\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}

When u=1,v=1,w=0, we have

\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}

and the partial derivatives take on values of

\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}

So we end up with

\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}

3 0
3 years ago
Karen karlin bought some large frames for $15 each and some small frames for $8 each at a closeout sale. if she bought 22 frames
BaLLatris [955]

small frames ($8): s

large frames ($15): L


Cost:        8s + 15L = 239   ⇒ 1(8s + 15L = 239)   ⇒    8s + 15L = 239  

Quantity:   s  +   L   = 22   ⇒  -8( s  +   L   = 22)   ⇒  <u> -8s   -8 L  = -176 </u>

                                                                                               7L  = 63

                                                                                                  L = 9

Quantity:   s + L = 22 ⇒   s + (9) = 22   ⇒   s = 13

Answer: 13 small frames, 9 Large frames

7 0
3 years ago
Read 2 more answers
The question is in the photo.
netineya [11]

Answer:

1

0.8

0.4

Step-by-step explanation:

y = 5x

Substituting '5':

5 = 5x

x = 5/5

x = 1

Substituting 4:

4 = 5x

x = 4/5

x = 0.8

Substituting 2:

2 = 5x

x = 2/5

x = 0.4

5 0
2 years ago
Read 2 more answers
Mitchell buys a rug that is 3.8 meters long and 0.9 meters wide. How many square meters does the rug cover? Record your answer b
Bond [772]

Answer:3.42

Step-by-step explanation:to get the answer to a area equation you need to multiply the length by the width.

5 0
3 years ago
If K is the midpoint of HJ, HK equals x+6, and HJ equals 5x-6, then KJ equals?
Natasha2012 [34]
X + 6 = 5x - 6
12 = 4x
x = 3
KJ = 2 ( x+ 6 ) = 2 * 9 = 18
7 0
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