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:
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
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
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A rectangular prism is completely packed with 84 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of these best describes the volume of this rectangular prism?
Answers
Step-by-step explanation:
The volume of a cube is s^3 where s is the length of a side..
So If you have 84 cubes with sides of 1/3 in the total volume is:
v=84(1/3)^3 in^3
v=84/27 in^3
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11(-2)
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Answers
Answer:
-22
Step-by-step explanation:
When you multiply a positive and negative number together, it becomes negative.
Multiplication is repetitive addition.
11(-2) = -11 + -11 = -22
PLEASE HELP ASAP for 8 points
Best answer will be marked as Brainliest
Plz hurry
Answers
Answer:
∠COS = 30°
Step-by-step explanation:
∠BPO = 120° + x
∠COS = x
Alternate Interior/Exterior is congruent if two parallel lines are intersected by a transverse.
∠BPO = ∠COP
∠COP = 120° + x
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find the slope and the y intercept 2x+y-2=0
Answers
Answer:
Slope: -2; Y-intercept: 2
Step-by-step explanation:
To find the slope, you can rewrite the equation into standard form:
2x+y-2=0
2x+y=2
y=2-2x
The slope is the coefficient of x, which is -2. The y-intercept is the other number, which is 2.
Step-by-step explanation:
gradient= ‐2
y‐ik intercept=2
explanation: rearrange the equation to make y your subject
from the equation , you already know that ‐2 is m (from the equation y=mx +c , whereby m is your gradient) which means ‐2 is your gradient.
from your equation you would also know that 2 is your y‐intercept. also from the equation y=mx+c is your UK intercept
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Answers
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Step-by-step explanation:
help!!
Kathryn had $20 saved and saved $5 each week, w, after. Write an algebraic expression to represent the amount she has saved after a certain number of weeks.
Answers
Answer:
20 + 5w
Step-by-step explanation:
20 + 5w
Were 20 is the amount she already has, and 5w is 5 times the unkown amount of weeks (w).
Pls consider marking me as Brainliest! It would mean a lot!
Answer: 5w + 20
Step-by-step explanation:
Because if she earns 5 every week that’s 5w and if she already had 20 that’s +20. So it’s 5w + 20 or 20+5w
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Answers
Answer:
The length of the rectangle is 14 cm
Step-by-step explanation:
Here, we want to find the length of the rectangle given the width
Mathematically, the perimeter of the rectangle can be calculated using the formula;
2( l + w)
from the question w = 10
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Thus;
2( l + 10) = 48
divide both sides by 2
l + 10 = 48/2
l + 10 = 24
l = 24 - 10
l = 14 cm
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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:
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Step-by-step explanation:
Answer:
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Answers
Answer:
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Step-by-step explanation:
We want to write the time it would take to run the tests if the technicians work together.
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Step-by-step explanation:
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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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Enter your answer in the box.
h(−2)=
Answers
Answer:
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Step-by-step explanation:
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From the question,
The given function is h(x)=3x+1
To determine the value of h(-2), we will put x = -2 and evaluate
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h(-2) = -5
Hence, the value of h(−2) when h(x)=3x+1 is h(-2) = -5
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I took math in high school
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Answer:
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Answers
Answer:
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:)