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Dafna1 [17]
3 years ago
10

A cookie company uses one cup of sugar for every

Mathematics
1 answer:
Feliz [49]3 years ago
7 0
S=N*35.  
N is equivalent to S times 35
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The average cost per unit C(x), in dollars, to produce x units of toy cars is given by C(x)=(8000)/(x−50)C(x)=(8000)/(x−50). Wha
podryga [215]
C(x)= \frac{8000}{x-50}

gives an average cost per unit, if we want to produce x of them.

So for example, we want to produce 500 toy cars for our store, and we need a price per unit (per 1 toy car). What we do is we calculate C(500). 

So to calculate the cost of one unit when producing 1250, we calculate C(1250)
 
C(1250)= \frac{8000}{1250-50}= \frac{8000}{1200}=6.67 $ is the cost of 1 toy car.

Answer
4 0
2 years ago
For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?
Gre4nikov [31]

The equation is separable, so solving it is trivial:

\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides gives

\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}

Given y(0)=24 and y(1)=18, we find

24=C

18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34

so the answer is E.

8 0
3 years ago
Read 2 more answers
Y = -4x + 8<br> Y=3/5x - 6/5
VladimirAG [237]

Answer:

x=2 and y=0

Step-by-step explanation:

Rewrite equations:

y=−4x+8;y=

3

5

x+

−6

5

Step: Solvey=−4x+8for y:

y=−4x+8

Step: Substitute−4x+8foryiny=

3

5

x+

−6

5

:

y=

3

5

x+

−6

5

−4x+8=

3

5

x+

−6

5

−4x+8+

−3

5

x=

3

5

x+

−6

5

+

−3

5

x(Add (-3)/5x to both sides)

−23

5

x+8=

−6

5

−23

5

x+8+−8=

−6

5

+−8(Add -8 to both sides)

−23

5

x=

−46

5

−23

5

x

−23

5

=

−46

5

−23

5

(Divide both sides by (-23)/5)

x=2

Step: Substitute2forxiny=−4x+8:

y=−4x+8

y=(−4)(2)+8

y=0(Simplify both sides of the equation)

5 0
2 years ago
LOOK AT THIS!!!!!!!!!!!!!!!!!!!!!!!
Gelneren [198K]

Answer:

8 x 1^2 = 8

have a good day and be safe

-Hops

8 0
3 years ago
It's easy math but I am not very good at it, I need some help. can someone help me????? solve all 3of them please!
jonny [76]

Answer:

1. 458 - 247 = 211

2. 58.92 - 43.87 = 15.05

3. 51/8 - 15/8 = 4.5

Here you go ! Hope this helps !

4 0
3 years ago
Read 2 more answers
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