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AVprozaik [17]
3 years ago
10

Phil has 50 nickels and dimes worth $4.15. How many dimes does he have

Mathematics
1 answer:
Katen [24]3 years ago
7 0

Answer: Phil has 33 dimes, and 17 nickels

Step-by-step explanation:

Let number of nickels be X, and dimes be Y.

X + Y = 50.

Since nickels stand for 5 cents, or 0.05 dollars, and dimes are 10 cents, or 0.10 dollars, we can also write the total worth as:

0.05*X + 0.10*Y = 4.15

Multiply this last equation by 20:

20*0.05*X + 20*0.10*Y = 20*4.15

Simplify:

X + 2*Y = 83

Subtract the first equation (X + Y = 50) from this one:

Y = 33.

Thus Phil has 33 dimes, and 17 nickels.

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Write the subtraction expression as an equivalent addition expression and then evaluate it.
solniwko [45]

The subtraction expression is solved to get -27 gives while the equivalent addition expression is -65 + 35 evaluating gives -47

<h3>What is subtraction and addition?</h3>

Subtraction refers taking away a value from a certain value while addition implies increasing a value by a certain value

<u>Given data</u>

-15 - 12

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-15 - 12 = -27

equivalent addition

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evaluating the equivalent addition

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Which logarithmic equation is equivalent to 25 = 32? log232 = 5 log532 = 2 log325 = 2 log25 = 32.
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Logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

<h3>What is the Logarithm function?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c =b

can be written as

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where a is the base to which the power is to be raised,

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Given to us

2⁵ = 32

As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

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