Brooklyn has $2 worth of nickels and dimes. She has a total of 30 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x, and the number of dimes, y, that Brooklyn has.
Answers
The number of nickels is 20 and the number of dimes is 10.
Given:
Brooklyn has $2 worth of nickels and dimes. She has a total of 30 nickels and dimes altogether.
Let x and y be the number of nickels and dimes.
0.05x + 0.10y = 2.0
multiply by 100 on both sides
5x + 10y = 200
x + y = 30
y = 30 - x
substitute y value in 5x + 10y = 200
5x + 10(30 - x) = 200
5x + 300 - 10x = 200
-5x = -100
5x = 100
divide by 5 on both sides
x = 100/5
= 20 nickles
x + y = 30
y = 30 - 20
y = 10 dimes
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Related Questions
4) Students in Ms. Udon
science class planted 13
conifers in different places
around the school yard. They
measured the heights (in inches)
of the conifers one month after
planting them. How many
conifers are greater than 6 1/4
inches tall but less than 8 1/2
inches tall?
Answers
Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.
This shows, with dots, the number of times that each of the measures appears in a data set.
For finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4
= 6.25 inches.
The tallest conifer measures 9.5 inches.
The difference is:
9.5 - 6.25 = 3.25 inches.
Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.
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Describe how the graph of g(x)= 3(5^X) is related to the graph of f(x) = 5^X
Answers are:
A. g(x) is shifted 3 units to the left
B. g(x) is horizontally stretched
C. g(x) is shifted 3 units to the right
D. g(x) is vertically stretched
Please explain why you choose the answer pleae
Answers
I hope this helps you :)
a father is four times as old as the sun in 10 years time the father will be twice as old as the son .if the father is 20years and son is 5 years currently, how old will the father be 29 years from now?
Answers
29 years from now, the father will be 49 years old.
Let's start by setting up the given information:
Currently, the father is 20 years old, and the son is 5 years old.
In 10 years, the father will be twice as old as the son.
The father is currently four times as old as the son.
Determine the age of the father and son in 10 years:
In 10 years, the father's age will be 20 + 10 = 30 years.
In 10 years, the son's age will be 5 + 10 = 15 years.
Write equations based on the given information:
The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.
The father's current age is four times the son's current age: 20 = 4 × 5.
Solve the equations:
From the second equation, we find that the son's current age is 5 years.
Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).
Simplifying further, we have: 30 = 2 × 15, which is true.
Determine the current age of the son in 29 years:
The son's current age is 5 years.
Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.
Determine the current age of the father in 29 years:
The father's current age is 20 years.
Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.
Therefore, 29 years from now, the father will be 49 years old.
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Donna wants to cover her rectangular patio in cement. The patio measures 8yd long and 6yd wide. She knows the area each bag of cement covers, but only in square. Find the area of donnas patio in square. Do not round intermediate computation and round your final answer two decimal places
Answers
For this problem, we are given the dimensions of a rectangular patio. We need to calculate the area of the patio, the number of cement bags that we need to use to cover it, and the total cost ofcovering the patio.
The first step is to convert the dimensions from yard to meters. For that, we need to multiply the given dimensions by 0.91 meters.
\(\begin{gathered} \text{ length}=8\cdot0.91=7.28\text{ meters}\\ \\ \text{ width}=6\cdot0.91=5.46\text{ meters} \end{gathered}\)Now we can determine the area, which is the product of the dimensions:
\(Area=7.28\cdot5.46=39.75\text{ square meters}\)The area of the patio is 39.75 square meters.
We know that each cement bag covers 3.2 square meters. Therefore we need to divide the area by 3.2 and round up.
\(n=\frac{39.75}{3.2}=12.42\)We will need approximately 13 bags.
Now we need to determine the cost of the bags, since each bag costs 8.22, we need to multiply heis by the number of bags:
\(\text{ cost}=8.22\cdot13=106.86\)The total cost will be $106.86
PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship
Answers
Answer:
Step-by-step explanation:
Quadratic means squared equation so
the first one is your answer.
y= 4x²
Subtract 4x + 6 from 7 + 2x?
Answers
Answer:
1-2x
Step-by-step explanation:
\((7+2x)-(4x+6)=7+2x-4x-6=1-2x\)
The graph of � = ∣ � ∣ y=∣x∣y, equals, vertical bar, x, vertical bar is shifted down by 9 99 units and to the right by 4 44 units. What is the equation of the new graph? Choose 1 answer: Choose 1 answer: (Choice A) � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 A � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 (Choice B) � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 B � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 (Choice C) � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 C � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 (Choice D) � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4y, equals, vertical bar, x, minus, 9, vertical bar, plus, 4 D � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4
Answers
An equation of the new graph is: A. y = ∣x - 4∣ - 9.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) + N
Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:
y = ∣x - 4∣ - 9
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Point Lis on line segment KM. Given KL = 11 and LM = 9, determine thelength KM.
Answers
20
1) Segment Addition Postulate. Let's draw this Line Segment to better understand this
The length of KM is going to be the sum of KL and LM.
2) Since L belongs to the Line Segment KM, and those Line segments are measured as 11 and 9 we can write:
KM = KL +LM
KM =11+9
KM =20
Therefore, KM measures 20.
find the difference between points (3,5) and (-1,5)
Answers
b'
Let the given points be A(3,-5) and B(5,-1).
AB= sqrt of (5−3) ² +(−1+5)²
= sqrt of 4+16
= sqrt of 20
=2 sqrt of 5 units
Determine whether the matrix is symmetric, skew-symmetric, or neither. A square matrix is called skew symmetric when A^T -A
A= | 0 -2 3|
| 2 0 1|
| -3 -1 0|
a. symmetric
b. skew~symmetric
c. neither
Answers
By looking at the matrix, we can say that matrix A is skew-symmetric. (option b)
To check whether a matrix is skew-symmetric, we need to verify if it satisfies the condition \(A^T\) = -A.
Taking the transpose of matrix A, we get:
\(A^T\) = | 0 2 -3 |
| -2 0 -1 |
| 3 1 0 |
Subtracting A from \(A^T\), we get:
\(A^T\) - A = | 0 2 -3 | | 0 -2 3 |
| -2 0 -1 | - | 2 0 1 |
| 3 1 0 | | -3 -1 0 |
= | 0 4 -6 |
| -4 0 -2 |
| 6 2 0 |
Since \(A^T\) - A is equal to the negative of A, we can conclude that matrix A is skew-symmetric. This means that the elements on the main diagonal are all zero, and the elements below the main diagonal are the negatives of the corresponding elements above the main diagonal.
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Thank you for taking the time out of your day to help me. Appreciate it.
Answers
Answer:
calculator gave me 6.5732
Step-by-step explanation:
What values of X make the two expressions below equal?
Answers
Answer:
A
Step-by-step explanation:
they dont come out the same
You deposit $2000 in an account earning 7% interest compounded continuously. How much will you have in
the account in 15 years?
Answers
Answer:
$3,715.30
Step-by-step explanation:
Total P+I (A): $3,715.30
Principal (P): $2,000
Compound (n): Continuously
Time (t in years): 15 years
By plugging this into an interest rate calculator, the amount settles to be approximently $3,715.30
Hope this helps!
free 25 points ‼‼
Amari has 20 cans of regular soda and 12 cans of diet soda. He wants to create some identical refreshment tables that will operate during the football game. He also doesn't want any sodas left over. What is the greatest number of refreshment tables that Gomez can stock?
Answers
Answer:
I think 32 is answer but i am not sure
Answer:
I believe he can create 3 identical tables.
Step-by-step explanation:
you would never get an exact equal number but if you stock 12 on one and ten on the other to it would be identical not a copy of each other.
I hope this helps!
I need help please can’t find it
Answers
Answer:
Step-by-step explanation:
log(7)6+log(7)2^3
log(7)6+log(7)8
log(7)(8*6)
log(7)48 = > D is the correct answer.
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
Find the degree of the polynomial
Answers
Answer:
2
degree is highest exponent in equation and 2x² has 2 and is highest
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
Answers
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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The data represents the size of 9 randomly selected households. {4, 3, 2, 8, 5, 6, 3, 10, 3} What is the five-number summary?
Answers
Answer:
Minimum = 2Q1= 3Median = 4Q3= 7Maximum = 10
Step-by-step explanation:
i took the test and got it right.
what is 2(12) 3/2 in its simpilist form
Answers
Answer: 2/12 --> 1/6
3/2 --> 1 1/2
Step-by-step explanation:
2/12 can be simplified by dividing the top by 2 and the bottom by two. 2 is the GCF (greatest common factor) of both 2 and 12.
3/2 is a improper fraction so you have to make it a proper fraction. To do that you get 1 and 1/2. <-- this is for simplest form.
Hope this helped!
In an instant lottery, your chances of winning are 0.2. If you play the lottery five times and outcomes are independent, the probability that you win at most once isa. 0.0819. b. 0.2. c. 0.4096. d. 0.7373.In an instant lottery, your chances of winning are 0.2. If you play the lottery five times and outcomes are independent, the probability that you win all five times isa. 0.6723. b. 0.3277. c. 0.04. d. 0.00032.
Answers
The probability that you win at most once when the chances of winning are 0.2, if you play the lottery five times and outcomes are independent is 0.7373
Thus the answer is (d) 0.7373
This is a case of Binomial expansion. Here the chances of winning is the probability of successful trial, i.e. 0.2 and thus the probability of failure is (1-0.2) = 0.8. Total number of trials is 5.
Given probability that you win at most once, that is it includes probability of winning once and probability of not winning. So number of successful trial is 1 and 0 in case 1 and case 2.
Probability = 5C0×0.2^{0}×0.8^{5-0} + 5C1×0.2^{1}×0.8^{5-1}
= 1×1×0.32768 + 5×0.2×0.4096
= 0.73728
≅ 0.7373
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There are 22 questions on a math test. The time allowed for the test is 50 minutes. Between which two numbers does the time allowed for each question lie?
Answers
Explanation: 50 minutes divided by 22 questions =2.27, so this is between 2 and 3 minutes
Which graph represents 12 = 3x + 4y line a, line b, line c
Answers
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
what is 78756567.998 divided by 76454
Answers
Answer:
1,030.11703766971
Step-by-step explanation:
Just use a calculator (windows + r and then type calc if your on windows or search up calculator)
Solve each system of equations using a matrix
x+y=4
3x+y=6
Answers
Answer:
hope it will help you.
What is the answer please help you can change my life.
Answers
Answer:
The side length is irrational
Step-by-step explanation:
Because the square root of 23 or 20+3 is a non-perfect square root and it's a never ending decimal.
The graph represents the piecewise function: f (x) ={ , if -3
Answers
The domain and the range of the function are
Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a piecewise function
When combined gives an absolute function
The rule of a function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is greater than the constant term
In this case, it is 0
So, the range is y > 0
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Question
The graph represents the piecewise function:
f(x) =
What is the domain and range of the function
Multiply (5.2 times 10 to the power of 3) by (1.2 times 10 to the power of negative 4)
Answers
Answer:
0.624
Step-by-step explanation:
Find a polynomial f (x) of degree 4 that has the following zeros.
0, -8 (multiplicity 2), 7
Leave your answer in factored form.
Answers
Answer:
\(f(x)=x(x-7)(x+8)^2\)
Step-by-step explanation:
The zeros of the polynomial are all the values of \(x\) for which the function \(f(x)=0\)
Therefore,
\(x = 0\)
\(x = -8 \implies x + 8 = 0\) (twice)
\(x = 7 \implies x -7 = 0\)
Write the polynomial as a product of its factors:
\(f(x)=x(x-7)(x+8)^2\)
A private museum charges $40 for a group of 10 or fewer people. A group consisting of more than 10 people must, in
addition to the $40, pay $2 per person for the number of people above 10. For example, a group of 12 pays $44. The
maximum group size is 50.
a) How much does a group of 16 pay?
b) Find a formula for the cost function.
c) What are the domain and range of the cost function? (Hint: Use the graph on the calculator)
Answers
Answer:
i hope this helpes
Step-by-step explanation:
a) A group of 16 pays $40 + ($2 x (16 - 10)) = $40 + $6 = $46.
b) The cost function can be represented as C(x) = 40 + 2(x - 10) for x > 10 and C(x) = 40 for x <= 10, where x is the number of people in the group and C(x) is the cost for the group.
c) The domain of the cost function is all non-negative real numbers less than or equal to 50 (0 <= x <= 50), since the maximum group size is 50. The range of the cost function is all non-negative real numbers greater than or equal to 40 (C(x) >= 40), since the minimum charge for a group is $40.
Answer:
a) $52
b) C(x) = 40 + 2x, if x > 10 and x ≤ 50
C(x) = 40, if x ≤ 10
c) Domain = {x ≥ 1 and x ≤ 50}
Range = { from 40 to 140}