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scoray [572]
3 years ago
8

Simita has 25 coins, consisting of 10c and 5c, which total $2.25. how many of each does she have?​

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

10c = 20

5c = 5

Step-by-step explanation:

Let x be the number of 10c coins; let y be the number of 5c coins. The total is $2.25, so the amount of 10c and 5c coins will add to that. Simita has 25 coins, so x and y, the number of coins, will have to add to 25. Hence, solve the simultaneous equation.

10x + 5y = 225 (1) - times by 0

x + y = 25 (2) - times by 5

10x + 5y = 225 (1)

5x + 5y = 125 (2)

Then, take equation 2 away from equation 1.

5x = 100

x = 20

Substitute x back into the original equation.

x + y = 25

20 + y = 25

y = 5

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Answer:

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Step-by-step explanation:

Since the two terms have the same base, we are able to use the rule for subtracting logarithms:

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Therefore, the equation can be written as:

log_{6}(\frac{x-6}{x+4} )=2

By using the definition of a logarithm we can say that:

\frac{x-6}{x+4} = 6^{2}\\\frac{x-6}{x+4} = 36\\x -6 = 36x+144\\35x = -150\\x =-\frac{30}{7}

When plugging this solution in, you find that the term log_{6}(x-6) has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so -\frac{30}{7} is not a valid solution. This means that there are no solutions.

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2 years ago
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Answer:

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Step-by-step explanation:

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4 0
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4n + 8 = n - 7
(In which 'n' represents the unknown number)

(4n + 8): "Eight more than the product of four and a number"

(= n - 7): "Is equivalent to seven less than the same number in equation form."

Subtract 8 from both sides:
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Subtract n from both sides:
3n = -15

Divide both sides by 3:
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Vlada [557]

Answer:

Step-by-step explanation:

Vertex of the given parabola = (1, -4)

Since, vertex form of a parabola is given by,

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Further solve this equation,

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