Tanya has 44 quarters and dimes worth$8.30. how many of each type of coin does she have

Answers

Answer 1
Answer:

Tanya has 26 quarters and 18 dimes.

Given that Tanya has 44 quarters and dimes which worth $8.30, we need to find the number of each coin type,

To find the same we will use the concept of system of Linear equations,

Let's solve this problem step by step.

Let's assume Tanya has x quarters and y dimes.

The value of x quarters is 25x cents.

The value of y dimes is 10y cents.

According to the given information, the total value of the quarters and dimes is $8.30, which is equivalent to 830 cents. So we have the equation:

25x + 10y = 830 ...........(Equation 1)

Tanya has 44 coins in total:

x + y = 44 ...........(Equation 2)

Now, we can solve this system of equations (Equation 1 and Equation 2) to find the values of x and y.

Multiplying Equation 2 by 25, we get:

25x + 25y = 1100 ...........(Equation 3)

Subtracting Equation 3 from Equation 1, we eliminate the x term:

25x + 10y - (25x + 25y) = 830 - 1100

-15y = -270

Dividing both sides by -15, we get:

y = (-270)/(-15) = 18

Substituting the value of y back into Equation 2, we can find x:

x + 18 = 44

x = 44 - 18 = 26

Therefore, Tanya has 26 quarters and 18 dimes.

Learn more about system of equations click;

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#SPJ2

Answer 2
Answer: Suppose Tanya has d dimes worth 10d cents and (44-d) quarters worth 25(44-d)
cents. Now total value = 830 cents, ie., 10d + 25(44-d) = 830, ie., 1100 -830 = 15d, ie., d = 54/3 = 18. Therefore A has 18 dimes and 26 quarters.

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Answers

Answer:

7 fountain drinks

Step-by-step explanation:

$12.75-$7.50=$5.25

$5.25/$0.75=7

Write code to complete doublepennies()'s base case. sample output for below program: number of pennies after 10 days: 1024 note: these activities may test code with different test values. this activity will perform three tests, with starting pennies = 1 and userdays = 10, then with starting pennies = 1 and userdays = 40, then with startingpennies = 1 and userdays = 1. see how to use zybooks. also note: if the submitted code has an infinite loop, the system will stop running the code after a few seconds, and report "program end never reached." the system doesn't print the test case that caused the reported message.

Answers

answer with coding and answer is attached in word file below

The doublePennies() function is an illustration of a recursive function in Java

How to complete the doublePennies() function?

The base case of the doublePennies() function is that:

When the number of days is 0, then the total available pennies is the same as the total number of pennies.

The algorithm of the above highlight is:

if numDays equals 0 then

    totalPennies = numPennies

Using the above algorithm, the complete base case is:

if(numDays == 0){

       totalPennies = numPennies;

}

Read more about Java programs at:

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What is the domain of x = 4?​

Answers

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step explanation:

since x=4 is a vertical line,there is no y-intercerpt and the slope is undefined.

The model represents an equation. What value of X makes the equation true?Answers are: -15
-3
15
3
Please help.

Answers

Answer:

D. 3

Step-by-step explanation:

Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

3x + 6

On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

3x + 6 = 2x + 9

Solve for x

3x + 6 - 2x = 2x + 9 - 2x (Subtracting 2x from both sides of the equation)

x + 6 = 9

x + 6 - 6 = 9 - 6 (subtracting 6 from both sides of the equation)

x = 3

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Answers

Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

2

The mass of a snowflake is approximately 0.000003 kilograms. Write this number in scientific notation.

Answers

Answer:

Step-by-step explanation:

3 x 10^-6 kg