Kylie has $2.10 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Kylie has.

Answers

Answer 1

Answer:

Kylie has 6 Nickels and 18 dimes

Step-by-step explanation:

Variable definitions:

x=the number of nickels

y=the number of dimes

One nickel is worth $0.05, so x nickels are worth 0.05x. One dime is worth $0.10, so y dimes are worth 0.10y. The total 0.05x+0.10y equals $2.10:

0.05x + 0.10y = 2.10

Since she has a total of 24 coins, we know x+y must equal 24.

x + y = 24

Write System of Equations:

0.05x + 0.10y = 2.10

x + y =  24

Solve for y in each equation:

0.05x + 0.10y= 2.10         x + y = 24

0.10y = 0.05x + 2.10         y = -x + 24

0.10y = -0.05x + 2.10

0.10                0.10                

  y = -1/2x + 21

The x variable represents the number of nickels and the y variable represents the number of dimes. Since the lines intersect at the point (6,18) we can say:

Kylie has 6 Nickels and 18 dimes

Answer 2

We want to solve a system of equations to see how many nickels and dimes Kyle has. We will see that she has 6 nickels and 18 dimes.

Finding the system of equations:

First, let's define the variables, we will use:

x =  number of nickelsy = number of dimes.

We know that there are 24 coins, then:

x + y = 24

We know that the total whort of the coins is $2.10, then:

x*$0.05 + y*$0.10 = $2.10

Then the system of equations is:

x + y = 24

x*$0.05 + y*$0.10 = $2.10

Solving the system of equations.

Here we need to graph both equations and find where they do intercept, the graph of the system can be seen below:

We can see that the intersection is at the point (6, 18)

So this means that she has:

6 nickels and 18 dimes.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Kylie Has $2.10 Worth Of Nickels And Dimes. She Has A Total Of 24 Nickels And Dimes Altogether. Graphically

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Answer:

The answer is 6 in reduced fraction form:)

Step-by-step explanation:

The reduced fraction of the given division is 6/1.

Given that, 78 divided by 13.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

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Answer:

3/8 6/16 12/32 24/64 48/128 96/256

Step-by-step explanation:

1/8 is .125 so .375 is 3/8

Mark brainliest pls

The given decimal can be converted into fractions such as 3375/1000, 675/200, 135/40 and 67/20 respectively.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The decimal number is given as 3.375.

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Answers

8(8k+9) = 64k+72 , hope this helped :)

The area of a rectangular model is 64k²+72.

Given that, the length of a rectangle = 8k+9 units and the width of a rectangle = 8 units.

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hi! here is your answer

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find the sum of the product of 5 and 0.35 and the product of 0.75 and 8​

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Answer:

sum of the product 5+0.35=5.35

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Answer:

Step-by-step explanation:

product of 5 and 0.35 = 1.75

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their sum = 1.75 + 6 = 7.75

Hope this helps

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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~

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Yes, the two equations are equivalent.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Y-int (0,3)

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Step-by-step explanation:

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Answers

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Answer:

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Answer:

7x-y = 2

Step-by-step explanation:

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in the diagram (triangle) ABC = (triangle) PQR.

a. Describe one transformation that maps (triangle) ABC to (triangle) PQR.

b. Describe two reflections that map (triangle) ABC to (triangle) PQR.

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Answers

B.
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Answers

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what is the value of 4(x-2)(x-3)+7(x-2)(x-5)-6(x-3)(x-5) when x=5

Answers

Answer:

The value is 24

Step-by-step explanation:

We want to find the value of the given expression when x = 5

Simply substitute 5 into the given expression.

Thus, we have;

4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Any part of the expression with 5-5 will be zero and will cancel out

Thus, we have

4(3)(2) = 4 * 3 * 2 = 24

The required value of equation at x = 5 is 24.

Given ;

Equation is = 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)  

We have to calculate the value of expression when x = 5

To solve the equation substitute x = 5 in the given equation

= 4(x-2)(x-3) + 7(x-2)(x-5) - 6(x-3)(x-5)

= 4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)

Simplify the equation

= 4(3)(2) + 7(3)(0) - 6(2)(0)

= 4.(6) + 7(0) - 6(0)

= 24 + 0 - 0

= 24

The required value of the equation at x = 5 is 24.

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DeShaun and Vu are brothers who like to make bets about the outcomes of different contests between them. Before the last bet, the ratio of the amount of Deshaun's money to the amount of Vu's money was 4:7. Vu lost the latest competition, and now the ratio of the amount of Vu's money is 8:3. If Vu had $280 before the last competition, how much does Vu have now that he lost the bet?

Answers

Answer: Vu have $60.

Step-by-step explanation:

Given: Before bet, the ratio of the amount of Deshaun's money to the amount of Vu's money was 4:7.

Let Deshaun's money =4x and Vu's money = 7x

If Vu had $280 before the last competition, then

7x = 280

⇒ x = 40   [Divide both sides by 7]

Deshaun's money = 4x = 4 x 40 = $160

After Vu lost bet, ratio becomes 8:3.

Let Deshaun's money = 8y and Vu's money = 3y

For Deshaun,  8x = 160 ⇒ y = 20  [divide both sides by 8]

Vu's money  = 3 (20)=$60

Hence, Vu have $60.

Answer:

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Step-by-step explanation:

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Answers

Answer:

5624 divided by 5 is 1124.8

7792 divided by 4 is 1948

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8064 divided by 6 is 1344

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