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:
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Related Questions
Solve the equation below.
3+X= -8
Answers
Answer:
x = -11
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
First, subtract 3 from both sides of the equation:
3 + x = -8
x + 3 (-3) = -8 (-3)
x = -8 - 3
Simplify:
x = -8 - 3
x = -11
x = -11 is your answer.
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Which one and don’t lie!!
Answers
Answer:
I am 99.99% sure its D.
Step-by-step explanation:
That red line is on the negative side of the x-axis and since all the numbers are 7 I'm just gonna assume that its a negative 7. Good luck sugar plum ;)
Answer: Not lying cause what's the point of lying to someone asking for help. The answer is x = -7
Step-by-step explanation: X= -7 because if you look at a graph with negative and positive on it along with the Y and the X on it. Then you'll see that the middle of the plus is zero the left of the middle (going down the X axis) is negative. And the right side of the X axis is positive and the line is on the negative side of the X axis. That's why instead of it being Y= -7 ( which is NOT the answer) is wrong because the line is over the X axis instead of the Y axis.
Find the 18th term of the sequence. 4.8, 5.1, 5.4, 5.7, ...
Answers
Which equation represents a line which is parallel to the line y-7x= -2
Answers
Answer:
7x-y = 2
Step-by-step explanation:
i think it is right I"m not very sure
what fractions are equivalent to 3.375
Answers
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
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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.
It can be written in the form of fraction as below,
3.375 = 3375/1000
Now, the other fractions can be obtained by dividing the numerators and denominators by the common factors as follows,
3375/1000 = 675/200 = 135/40 = 67/20
Hence, the fractions that are equivalent to the given decimal are 3375/1000, 675/200, 135/40 and 67/20 respectively.
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The fraction 26/5 is between which two numbers?
Answers
Answer:
25/5 and 27/5
Step-by-step explanation:
26/5 = 4 1/5
26/5 is between 4 and 5.
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Find 78 divided by 13. Input your answer as a reduced fraction.
Answers
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.
Here, 78/13
= 6/1
Therefore, the reduced fraction of the given division is 6/1.
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Balance the equation with the correct coefficients.
3
4
5
N
KCIO3 →
KCI +
O2
Answers
Answer:
2KClO3 → 2KCl + 3O2
Enter the missing values in the area model to find 8(8k + 9)
Answers
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.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Now area of a model is
(8k+9)×8
= 8×8k+8×9
= 64k²+72
Therefore, the area of a rectangular model is 64k²+72.
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6h + 20 is greater than for equal to 100 in a real world problem
Answers
Answer:
im sorry whats the question
Step-by-step explanation:
Answer:
Example:
John has 6 baskets that contain "h" amount of apples. His mom gives 20 more apples to him. The sum of John's dad's apples is 100. Write an inequality showing how many baksets of apples John needs in order to have more apples than his dad.
Which two expressions are equivalent?
A- 4 + (3 x y) and (4 + 3) x y
B- (18 divided by y + 10 and 10 + (y divided by 18)
C- 12 - (y x 2) and 12 - (2 x y)
D- (10 - 6) divided by y and 10 - (6 divided by y)
Answers
Step-by-step explanation:
D.
Answer:
D
Step-by-step explanation:
are 2x +4 = 10 and 3x +6 = 15 equivalent. equations? how do you know.
Answers
Answer:
Yes, the two equations are equivalent.
Step-by-step explanation:
For the first equation, we will solve for x.
2x + 4 = 10
Subtract 4 from both sides...
2x + 4 = 10
-4 -4
It then becomes
2x = 6
Then we divide by 2 on both sides.
2x = 6
2 2
Then the answer is...
x = 3
Now let's also solve for x on the second equation.
3x + 6 = 15
Subtract 6 on both sides to get x alone...
3x + 6 = 15
-6 -6
Then it is..
3x = 9
Lastly, divide by 3 on both sides...
3x = 9
3 3
Then it becomes
x = 3.
Then we see that both equations have x = 3, meaning when both x's = 3, then both equations will be equivalent. I hope this helps, and I hope it is not wrong, but I don't think it is.
Solve for h: A = (1/2)*b*h*
O h = 2*A*b
O h = A *(b/2)
O h = (2*A)/b
0 h = (2+b)/A
Answers
Step-by-step explanation:
The answer is the third option
how are translations described mathematically
Answers
Answer:
In geometry, a translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. This is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.
8) Every Thursday, a restaurant gives a free drink to every 8th customer and a free dessert to every 12th customer. Which customer will be the first to get both a free drink and a free dessert? *
Answers
Answer:
the 48th customer would be the one to recieve a free drink and dessert because its the first multiple of 8 and 12.
Step-by-step explanation:
Answer:
the person above me is correct
Step-by-step explanation:
5624÷5 7792÷4 9105÷8 8064÷6
please answer these questions and you will receive 20 points
Thanks,
Answers
Answer:
5624 divided by 5 is 1124.8
7792 divided by 4 is 1948
9015 divided by 8 is 1138.125
8064 divided by 6 is 1344
Hope this helps :D
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.
c. Reflect (triangle) ABC across the line y = x. Describe how to map image to (triangle) PQR.
Answers
Because it reflects over
find the sum of the product of 5 and 0.35 and the product of 0.75 and 8
Answers
Answer:
sum of the product 5+0.35=5.35
sum if product 0.75+8=8.75
Answer:
Step-by-step explanation:
product of 5 and 0.35 = 1.75
product of 0.75 and 8 = 6
their sum = 1.75 + 6 = 7.75
Hope this helps
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Jessica has -$15 dollars in her bank account. Jonathan has less money than Jessica in his bank account. Which value could represent the amount of money in Jonathan’s bank account?
Answers
Answer:
x∠15 or 15 is greater than x The x being the amount of money Jonathan has in his bank account.
Step-by-step explanation:
Sorry if this is not what you are looking for.
Help me please I REALLY NEED HELP WITH THIS 10 points
Answers
Answer:
Y-int (0,3)
Slope 3/2
Step-by-step explanation:
I'm assuming this is for the second question on the bottom
Can someone help me with this question
Answers
hi! here is your answer
Answer:
It is SAS congruence criterion
hope it helps you!!
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
SAS
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
(( AR )) Side = (( ER )) Side
(( ARK )) Angle = (( ERN )) Angle
(( KR )) Side = (( NR )) Side
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
3. Vocabulary Give an example of two
inequalities that are equivalent inequalities.
Explain your reasoning.
Answers
They both say that x must be larger than 3. No bickering here. So yep, they're equivalent.
Inequalities usually have a lot of solutions—in fact, infinitely many. Think about the inequality x > 3. This inequality states that "x must be larger than 3." Any number bigger than 3 is a solution to this inequality. That includes 3.001, 3.0001, 4, 5, 2 million, and every other number bigger than 3. We don't have time at the moment to name them all,
I don't understand it
Answers
Answer:
Your answer is: What do you need help with?
Step-by-step explanation:
Hope this helped : )
Any number divisible by 3 is divisible by 6.
A.) True
B.) False, counterexample of 12
C.) False, counterexample of 15
Answers
Answer:
C.) False, counterexample of 15
1) 15 is divisible by 3 but not by 6
we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3
BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6
2) 12= 3*4 & 6*2
SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'
Answer:
c. False, counterexample of 15
Step-by-step explanation:
This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3
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.
For details about the solution of equation click the link given below.
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Which inequality represents this situation?
Players must practice at least 45 minutes a day.
A. t 45
D. t ≥ 45
Answers
x/16- (x+2)/8=2 pls help, need answer soon.
Answers
Answer:
x = -36
Step-by-step explanation:
Step 1: Write equation
x/16 - (x + 2)/8 = 2
Step 2: Solve for x
Multiply both sides by 16: x - 2(x + 2) = 32Distribute -2: x - 2x - 4 = 32Combine like terms: -x - 4 = 32Add 4 to both sides: -x = 36Divide both sides by -1: x = -36Step 3: Check
Plug in x to verify it's a solution.
-36/16 - (-36 + 2)/8 = 2
-9/4 - -34/8 = 2
-9/4 + 17/4 = 2
8/4 = 2
2 = 2
help me find the answer to this please. 8745/53 as an quotient
Answers
Answer:
165
Step-by-step explanation:
8745/53=165
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:
hhhhhh
Step-by-step explanation:
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-2 1/3 - (-5) = ?
Please hurry
Answers
Im trying jsjshshshhshxhxhshsjajshshdj
2.6 Repeat
2 2/3
Pls mark me brainliest