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AURORKA [14]
3 years ago
5

CAN SOMEONE HELP PLZ

Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0

Answer:

Step-by-step explanation:

1)

The solution to the system (c , p) represent the cost of each hot cocoa is c and the cost of each pretzel is p

2)

Nothing changed just two equations were added to form another third equation which represent the total cost of 7 cups of hot cocoa and 8 pretzels

so the solution (c , p) would still be the same as the solution represents cost of each cup of hot cocoa c and cost of each pretzel p

3)

No adding both the equations does not help us solve the equation, It just forms another equation further making the question longer and the third equation is not needed because to solve a system of equations with 2 variables to equations are enough, in this case c and p To solve the system of equations we multiply the first equation with 2 and the second equation with 5 and then subtract equation 1 from equation 2

Equation\ 1 \\\\5c+4p=18.40\\Multiplying\ it\ with\ 2\\10c+8p=36.8\\\\Equation\ 2\\\\2c+4p=11.20\\Multiplying\ equation\ 2\ with\ 5\\10c+20p=56\\\\Now\ subtract\ equation\ 2\ from\ equation\ 1\\\\10c-10c+8p-20p=36.8-56\\0-12p=-19.2\\-12p=-19.2\\p=-19.2/-12\\p=1.6\\

Now for the value of c we insert the value of p in any equation, lets insert it in equation 1

5c+4p=18.40\\5c+4(1.6)=18.40\\5c+6.4=18.40\\5c=12\\c=12/5\\c=2.4

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5 0
3 years ago
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8.1×10^12

Step-by-step explanation:

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Answer:

Eating dinner and eating dessert are dependent events because

P(dinner) . P(dessert) = 0.9 × 0.6 = 0.54 which is not equal to

P(dinner and desert) = 0.5 ⇒ answer A

Step-by-step explanation:

* Lets study the meaning independent and dependent probability  

- Two events are independent if the result of the second event is not

  affected by the result of the first event

- If A and B are independent events, the probability of both events  

 is the product of the probabilities of the both events

- P (A and B) = P(A) · P(B)

* Lets solve the question  

∵ There is a 90% chance that a person eats dinner

∴ P(eating dinner) = 90/100 = 0.9

∵ There is a 60% chance a person eats dessert

∴ P(eating dessert) = 60/100 = 0.6

- If eating dinner and dating dessert are independent events, then

 probability of both events is the product of the probabilities of the

 both events

∵ P(eating dinner and dessert) = P(eating dinner) . P(eating dessert)

∴ P(eating dinner and dessert) = 0.9 × 0.6 = 0.54

∵ There is a 50% chance the person will eat dinner and dessert

∴ P(eating dinner and dessert) = 50/100 = 0.5

∵ P(eating dinner and dessert) ≠ P(eating dinner) . P(eating dessert)

∴ Eating dinner and eating dessert are dependent events because

  P(dinner) . P(dessert) = 0.9 × 0.6 = 0.54 which is not equal to

  P(dinner and desert) = 0.5

8 0
3 years ago
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Alika [10]

−4 2/5÷(−5)

−22/25

The answer is 8/25

5 0
3 years ago
Read 2 more answers
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