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Daniel [21]
3 years ago
6

Hershey’s manufactures candy bars in batches of 800. The fixed cost is $20 per batch, with variable cost of $0.10x where x equal

s the number of batches. The equation that models the cost is rational is structured as: If the break-even point is the number of batches where the numerator and denominator are equal, what is the break-even point? Select one:
a. 200
b. 250
c. 300
d. 350
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0
The answer to this word problem is letter A. 200.

Here is the solution:
given:
candy bars in batches of 800
fixed cost of $ 20 per batch
variable cost of $ 0.10 x
x= the number of batches

<u>$ 20 ( 800 )</u>  = <u>16, 000</u>
$ 0.10 (800)        80

                     = 200
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Is the system of equations consistent and independent, consistent and dependent, or inconsistent?
ollegr [7]

Answer: Consistent and independent.

Step-by-step explanation:

We have the system of equations:

y = 4x - 4

y = -4x + 4.

Now, first let's define the terms used in the question.

consistent and independent: we have only one solution.

consistent and dependent: we have infinite solutions.

inconsistent: we do not have solutions.

Now, let's look at the system:

y = 4x - 4

y = -4x + 4.

Let's take the quotient between both the equations:

(y/y) = (4x - 4)/(-4x + 4)

1 = (4x - 4)/(-4x + 4)

let's see if we can solve this for x.

1*(-4x + 4) = 4x - 4

-4*x + 4 = 4x - 4

-4x - 4x = -4 - 4

-8*x = -8

x = -8/-8 = 1.

and to find the value of y, we can input this value of x in one of the equations:

y = 4*1 - 4 = 0.

Then we have only one solution, (1, 0).

(and will be the same if you input x in the other equation, as the right side is minus the right side of the first equation)

Then the system is consistent and independent.

5 0
2 years ago
Could someone explain how to do this, I have no idea how...
alexira [117]

Answer:

2a²

Step-by-step explanation:

Pair 'like' terms with 'like' terms, ie numbers go with numbers, and 'a's go with 'a's.

Lets deal with the top of the fraction first:

4ax3a³

Rearrange it so you have numbers beside numbers and 'a's beside 'a's:

(4x3)x(axa³)

12x(a⁴) <em>(because nᵃxnᵇ=nᵃ⁺ᵇ)</em>

12a⁴

Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²

First divide the numbers: 12/6 =2

Now divide the 'a' parts: a⁴/a²=a² <em>(because nᵃ/nᵇ=nᵃ⁻ᵇ)</em>

Now we have 2a²

7 0
2 years ago
Please help me it’s due today and idk math .
Ulleksa [173]

Answer:

you need to ask one bye one. easyer for us

8 0
2 years ago
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Answer: oh kayy

Step-by-step explanation:

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2 years ago
Two identical masses are moving down a slope one masses traveling twice as fast as the other mass how does the kinetic energy of
GaryK [48]

Answer:

One mass's kinetic energy is 4 times the other.

Step-by-step explanation:

The formula for kinetic energy is KE=\frac{1}{2}mv^2

Where

KE is the kinetic energy

m is the mass

v is the velocity

  • Now, let mass of the first be m (second is identical so mass of 2nd is m as well)
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<u>KE of 1st mass is:</u>

\frac{1}{2}mv^2

<u />

<u>KE of 2nd mass is:</u>

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Hence, the kinetic energy of the 2nd mass is 4 times the first.

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3 years ago
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