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In-s [12.5K]
3 years ago
9

A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p,

the number of pennies, and q, the number of quarters?
Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Answer:

let x = the number of nickels

 

the number of pennies can be represented by (56 - x)

 

.05x + .01(56 - x) = 1.52

 

5x + (56 - x) = 152    if in the above line we multiply both sides of the equation by 100

 

4x + 56 = 152

 

4x = 96

 

x = 24

 

There are 24 nickels and 56 - 24 = 32 pennies

 

24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52

Step-by-step explanation:

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Translate the phrase into an algebraic expression. <br> The product of x and 4.
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Brent created a mural, 4/5 of which he painted in shades of blue. Three eighths of the blue area is sky blue. What portion of th
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Step-by-step explanation:

Let x be the full portion of mural.

Since, \frac{4}{5} of mural is painted in shades of blue.

Therefore, the blue portion=\frac{4}{5}x

Also, Three eighths of the blue area is sky blue.

Therefore, the portion of the mural is sky blue=\frac{3}{8}\times\frac{4}{5}x

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Simplify, by dividing numerator and denominator by 4, we get

The portion of the mural is sky blue=\frac{3}{10}x


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3 years ago
Do you think it would be difficult to convert between the English Customary System and the Metric System? For example, if I want
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for all others i have an attached file :)

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If y varies directly with x and y=4 and y=12. Find the direct variation equation (find k and put into an equation).
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Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y
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The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

5^{x-2}= 8

Taking Log on both sides.

Log_e 5^{x-2}=Log_e8

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(x - 2 ) = Log 3

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Therefore the value of x will be equal to 2.477.

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brainly.com/question/25710806

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