Caroline has $2.55 in her purse and nickels and dimes. the number of nickels is nine less than three times the number of dimes. find the number of each type of coin.

Answers

Answer 1

Answer:

An equation is formed when two equal expressions. The number of dimes and nickels in Caroline's purse is 12 and 27, respectively.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of dimes in Caroline's purse be represented by x, while the number of nickels is represented by y.

Given that the number of nickels is nine less than three times the number of dimes. Therefore, we can write,

y = 3x - 9

Also, Caroline has a total of $2.55 in her purse. Therefore, we can write,

0.10x + 0.05y = 2.55

Substitute the value of y from the above equation,

0.10x + 0.05(3x - 9) = 2.55

0.10x + 0.15x - 0.45 = 2.55

0.25x = 2.55 + 0.45

0.25x = 3

x = 3/0.25

x = 12

Substitute the value of x in the equation of y,

y = 3x - 9

y = 3(12) - 9

y = 36 - 9

y = 27

Hence, the number of dimes and nickels in Caroline's purse is 12 and 27, respectively.

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Answer 2

Answer: .05N+.1d=2.55
N=3d-9
0.05(3d-9)+0.1d=2.55
0.15d-0.45+0.1d=2.55
0.25d=2.55+0.45
0.25d=3
D=12
N=3(12)-9
N=36-9
N=27
Hope this helps

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A hiker is lost in the woods. A search team has created a coordinate grid to represent the woods. Each unit on the grid is one square mile. The hiker was last seen at (5, 10) and could have walked 12 miles in any direction since then. Which equation represents the area the hiker could be in? A)
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Answers

The correct answer is A) (x-5)²+(y-10)²=12².

The graph of possible locations would be a circle, since he could be in any direction. 12 would be the radius, since he could be 12 miles away. The center of the circle would be his last location. The equation of a circle is given by:

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Since (5, 10) is the center and 12 is the radius, this gives us
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Answers

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What is the first 12 numbers in pi?

Answers

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Answers

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Step-by-step explanation:

There are 3 times as many used bikes in the showroom as there as new bikes. There are 164 bikes total in the showroom. How many new bikes are in the showroom

Answers

Number of new bike in showroom is 41 bikes.

Given that;

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3 times Number of new bike = Number of old bikes

Find:

Number of new bikes in showroom

Computation:

Assume;

Number of new bike = a

So,

Number of old bike = 3a

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a + 3a = 164

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So,

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Answer:

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Answers

To solve this equation, we have to set up a proportion, because we want to keep the ratio of butter to sugar equal between the two recipes. Let x represent the amount of sugar that we are trying to find.

1/4 cup butter/3/8 cup sugar = 1 cup butter/ x cup sugar

To solve this proportion, we need to use cross products, or the multiplication of the numerator of one fraction by the denominator of the other, and setting them equal to one another. If done properly, the resulting equation is:

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Finally, we just need to divide both sides by 1/4, which is the coefficient of x, as we are trying to get x alone. Your final answer is

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