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dimaraw [331]
3 years ago
15

Solve system by graphing 2x-6y=12 x+y=2

Mathematics
1 answer:
astraxan [27]3 years ago
5 0
First get y by its self , then graph , find intersection point and plug in x and y to both equations, see if it makes sense , then the solution must be you intersection point

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A company that manufactures guitars has a fixed cost of $100,000. It costs $100 to produce each guitar and the selling price is
miv72 [106K]

a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars

---------------------------------

b. Write the revenue function:: R(x) = 300x where x is number of guitars

-----------------------

c. Find the profit function.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = [ R(x) ] - [ C(x) ]

P(x) = [ 300x ] - [ 100x+100,000 ]

P(x) = 300x - 100x-100,000

P(x) = 200x - 100,000

The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.

Solve 125x - 100,000 = 0

125x = 100,000

x = 800 (# of guitars made and sold)

7 0
3 years ago
Estimate each quotient 195 divided by 4
sweet-ann [11.9K]
....................48.5 I think
8 0
3 years ago
a radioactive substance has a half-life of 2 seconds. A scientist begins with a sample of 20 grams. How much of the substance re
s344n2d4d5 [400]

Answer:

1.25 g

Step-by-step explanation:

you start with 20g at 0 seconds.

divide by half after 2 seconds and you have 10g.

at 4 seconds you have 5g.

at 6 seconds you have 2.5g.

at 8 seconds you have 1.25g.

5 0
2 years ago
If three bakers can prepare 15
Molodets [167]

Answer:

45 cakes/3 hours

Step-by-step explanation:

15 cakes/1 hour = x cakes = 3 hours (multiply by 3)

3 0
3 years ago
19. There were 20 drinks in a cooler.
ella [17]

For this case we have that the complete question is:

There were 20 drinks in a cooler. Joey drank 15% of the drinks. Sandra drank 1/5 of the drinks. Hannah drank 1/4 of the drinks. Tammy drank 30% of the drinks. How many drinks are left in the cooler? a 0 b 2 c 5 d 9

We propose a rule of three:

20 ---------> 100%

x ------------> 15%

Where the variable "x" represents the amount of drinks equivalent to 15%.

x = \frac {15 * 20} {100}\\x = 3

So, Joey drank 3 drinks.

On the other hand, we have that Sandra drank \frac {1} {5}of the drinks:

20 * \frac {1} {5} = \frac {20} {5} = 4

Thus, Sandra drank 4 drinks.

In addition, Hannah drank\frac {1} {4} of the drinks:

20 * \frac {1} {4} = 5

So Hannah drank 5 drinks.

Finally, Tammy drank 30% of the drinks:

20 ---------> 100%

y ------------> 30%

Where the variable "y" represents the amount of drinks equivalent to 30%.

y = \frac {30 * 20} {100}\\y = 6

So Tammy drank 6 drinks.

Adding up we have:

3 + 4 + 5 + 6 = 18

So: 20-18=2

Thus, 2 drinks remain in the refrigerator.

Answer:

Option B

5 0
3 years ago
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