A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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To find the end behavior
Answer:
hope this helps
Step-by-step explanation:
To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph
Find the length of the third side if necessary round to the nearest tenth 6 and 7
Can someone help me
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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please help me with this
Answer:
\(2\frac{1}{8}\)
Step-by-step explanation:
On the 3 days that the the worker served less than a cup of food, he served 7/8 of a cup, and 5/8 of a cup twice. Now we add these.
\(\frac{7}{8} +\frac{5}{8}+ \frac{5}{8} =\frac{17}{8}\\ \\\\\frac{17}{8} = 2\frac{1}{8}\)
write the inequality shown -4x+y=-3
The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.
To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.
Starting with -4x + y = -3, we isolate y by adding 4x to both sides:
y = 4x - 3
Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.
If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:
y > 4x - 3
If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:
y < 4x - 3
The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.
For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.
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What is the y-
coordinate for the solution to the system of equations?
{−x + 3y = 9
{y=2/3x
Enter your answer as the correct value, like this: 42
The y-coordinate for the solution to the system of equations is 6.
What is LCM?In mathematics, the value that is equally divided by the two supplied numbers is known as the LCM of any two. Least Common Multiple is its full name. Another name for it is the Least Common Divisor (LCD).
When the fractions' denominators differ, LCM can also be used to add or subtract any two fractions. LCM is used to make the denominators common when doing any arithmetic operations using fractions, such as addition and subtraction. The simplifying process is facilitated by this procedure.
The system of equation is given as:
−x + 3y = 9
y = 2/3x
The second equation can be written as:
x = 3/2y
Substituting the value of x in equation 1:
-3/2y + 3y = 9
Take the LCM:
-3y + 6y / 2 = 9
-3y + 6y = 18
3y = 18
y = 6
Hence, the y-coordinate for the solution to the system of equations is 6.
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Check for extraneous solutions when plugging -7 into x-5=2(x+1).
Check for extraneous solutions when plugging 1 into x-5=-2(x+1)
Please hurry
There are no extraneous solutions when plugging -7 into x-5=2(x+1).
So extraneous solutions means the solutions that you get by solving an equation, but after you try plugging it back into your original equation, the solution does not work.
Now we have our solutions of x=7, and we just need to check whether it is extraneous or not. We can do this by taking x=1 and plugging it back into your original equation x - 5 = 2(x + 1)
x - 5 = 2(x + 1)
-7 - 5 = 2(-7 + 1)
-12 = -14 + 2
-14 + 14
0 = 0
We end up getting that 0 = 0 which is correct,
Thus, there are no extraneous solutions.when plugging -7 into x-5=2(x+1).
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2^4 - 24/3+1 please help
Answer:
The answer is 9!
Which word phrase can you use to represent the algebraic expression ÷ 8 ?
This phrase can be used in a variety of contexts, from simple arithmetic problems to more complex Algebraic equations and expressions.
The algebraic expression ÷ 8 can be written in a variety of ways depending on the context and the specific operation being performed. However, in general, the phrase "divided by 8" or "the quotient of x and 8" can be used to represent this expression.
For example, if we have an algebraic expression such as 24 ÷ 8, we can write it as
24 divided by 8
the quotient of 24 and 8
24/8
In each case, the idea is the same: we are dividing 24 into 8 equal parts, or finding how many groups of 8 are contained in 24.
In the context of an algebraic equation or expression, the phrase "divided by 8" is often used to indicate that the variable or expression preceding it is being divided by 8. For example:
3x ÷ 8
(2y + 5) ÷ 8
In these cases, we are dividing the value of 3x or the sum of 2y and 5 by 8. The quotient of these expressions will depend on the specific values of x and y."divided by 8" is a commonly used phrase to represent the algebraic expression ÷ 8. This phrase can be used in a variety of contexts, from simple arithmetic problems to more complex algebraic equations and expressions.
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Expand the following equation (2x-3)^2
Answer:
4x^2 - 12x + 9
Explanation:
(2x - 3)^2
(2x - 3)(2x - 3)
2x(2x - 3) -3 (2x - 3)
4x^2 - 6x - 3 (2x - 3)
4x^2 - 6x - 6x + 9
4x^2 - 12x + 9
There are 13 maple trees currently in the park. Park workers will plant more maple trees today. When the workers are finished, there will be 88 maple trees in the park. How many maple trees did the workers plant today
All of the following ordered pairs satisfy the function rule y = -2x - 1 except _____.
(-2, 3)
(0, -1)
(-1, -3)
(2, -5)
Answer:
im going to say (2, -5)
Step-by-step explanation:
It’s not 15 read the text
Answer:
B
Step-by-step explanation:
I think it is B because 6 times 5 = 30. So 30 times 1/2 = 60 hope this is correct and it helped and if it is not correct try C and can i get a brainliest
I have to turn this in at 5:00
Answer:
1/8
Step-by-step explanation:
Multiply the chance of getting heads (1/2 or .5) by the chance it takes to get green (1/4 or .25)
.5*.25=.125 or 1/8
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?
The graph crosses the x-axis at x = 4 and touches the x-axis at x = –1.
The graph touches the x-axis at x = 4 and crosses the x-axis at x = –1.
The graph crosses the x-axis at x = –4 and touches the x-axis at x = 1.
The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.
From the graph of the given function, f(x) = -4x³ - 28x² - 32x + 64, the statement that describes the function is - The graph touches the x-axis at x = -4 and crosses the axis at x = 1. The correct option is the last option
Graph of cubic functionsFrom the question, we are to determine the statement that describes the graph of the given cubic function
The given function is
f(x) = -4x³ - 28x² - 32x + 64
To determine the statement, we will determine the value of f(x) when x = -4
f(x) = -4x³ - 28x² - 32x + 64
f(-4) = -4(-4)³ - 28(-4)² - 32(-4) + 64
f(-4) = -4(-4)³ - 28(-4)² - 32(-4) + 64
f(-4) = 256 - 448 + 128 + 64
f(-4) = 0
Also, we will determine the value of f(x) when x = 1
f(x) = -4x³ - 28x² - 32x + 64
f(1) = -4(1)³ - 28(1)² - 32(1) + 64
f(1) = -4 -28 - 32 + 64
f(1) = 0
Now, using these points and some other points on the function, the graph of the function is shown below.
From the graph, we can observe that the graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.
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Answer:
D
Step-by-step explanation:
I took the test
The exam in a course consists of 25 true/false questions, each worth two points, 35 multiple-choice questions, each worth one point, and 5 fill-in-the-blank questions, each worth three points. The probability that a student answers a true/false question correctly is 0.8, the probability that they answer a multiple-choice question correctly is 0.75, and the probability that they answer a fill-in-the-blank question correctly is 0.65. What is the expected score on the exam? Now consider the case where an incorrect answer on a true/false question results in a penalty of −1 point. 2 What is the resulting expected score?
Answer:
Expected Score (No Negative Marking) = 135 points
Expected Score (with penalty) = 130 points
Step-by-step explanation:
First we find no. of true false answered correctly:
True/False Correct = (Total No. of True/False)(Probability to correctly answer true/false)
True/False Correct = (25)(0.8)
True/False Correct = 20
Now, for points scored from true/false:
True/False Score = (True/False Correct)(Points for 1 True/False)
True/False Score = (20)(2)
True/False Score = 40 points
Now, we find no. of mcqs answered correctly:
MCQs Correct = (Total No. of MCQs)(Probability to correctly answer MCQs)
MCQs Correct = (35)(0.75)
MCQs Correct = 26.25 = 26
Now, for points scored from MCQs:
MCQ Score = (MCQs Correct)(Points for 1 MCQ)
MCQ Score = (26)(1)
MCQ Score = 26 points
Now, we find no. of fill in the blanks answered correctly:
Fill in the blanks Correct = (Total No. of Fill in the blanks)(Probability to correctly answer Fill in the blanks)
Fill in the blanks Correct = (35)(0.65)
True/False Correct = 22.75 = 23
Now, for points scored from true/false:
Fill in the blanks Score = (Fill in the blanks Correct)(Points for 1 Fill in the blanks)
Fill in the blanks Score = (23)(3)
Fill in the blanks Score = 69 points
So, the expected total score will be:
Expected Score = 40 points + 26 points + 69 points
Expected Score = 135 points
IN CASE OF PENALTY:
We know that:
Incorrect True/Flase = Total True/False - Correct True/False = 25 - 20 = 5
Therefore,
Total Penalty = (Incorrect True/False)(Penalty on one)
Total Penalty = (5)(- 1 points)
Total Penalty = - 5 points
Now, expected score will be;
Expected Score (with penalty) = 135 points - 5 points
Expected Score (with penalty) = 130 points
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = 25,
Step-by-step explanation:
(4x + 3) + (2x + 27) = 180 (Told they were a linear pair) (supplementary)
6x +30 = 180 (Combine like terms)
6x = 150 (Subtract 30 from both sides)
x = 25 (Divide both sides by 6)
m<RQS = 4(25) + 3
= 103 degrees
m<TQS = 2(25) + 27
= 77 degrees
Hope this helps
Select the correct answer. Rewrite the following expression.
The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).
How to solve an expression?An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.
Therefore, let's rewrite the expression to it's equivalent expression.
An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.
Therefore, using indices rule
\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)
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In ALMN, n = 910 inches, ZL=64º and ZM=31°. Find the length of 1, to the nearest
10th of an inch.
Answer:
Step-by-step explanation:
When do you use the divergence test, comparison test, p test, geometric, integral, comparison, limit comparison, and alternating series?
Step-by-step explanation:
Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.
If lim(n→∞) an ≠ 0, then an diverges.
(Note this only tests divergence, not convergence.)
P Test: use this when the series is a p-series.
For an = 1 / nᵖ, if p > 1, then the series converges. Otherwise, it diverges.
Geometric Test: use this when the series is a geometric series.
For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges. Otherwise, it diverges.
Integral Test: use this when the sequence can be easily integrated.
If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.
If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.
Comparison Test: use this when a sequence is similar to a p-series or a geometric series.
If bn > an and bn converges, then an converges.
If bn < an and bn diverges, then an diverges.
Otherwise, inconclusive.
Limit Comparison Test: use this when comparison test is inconclusive.
If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.
Alternating Series Test: use this when the series is alternating. This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.
If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.
(Notice this only tests for convergence, not divergence.)
Use multiplication to find 4% of 2,475.
4% of 2,475 is ______
Answer:
Step-by-step explanation:
4 percent *2475 = 99
sorry cant do the multiplcation on here
Answer:
99
Step-by-step explanation:
rv=1/c+r solve for c
I know the answer I'm confused as to how to get there
Answer:
rv=1/2
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Given
rv=1/c+rSolving for c
Its not clear what the denominator is: c or c+r so doing bothDenominator is c:
rv = 1/c + r1/c = rv - rc = 1/(rv - r)Denominator is c + r:
rv = 1/(c + r)rv(c + r) = 1rvc + r²v = 1rvc = 1 - r²vc = (1 - r²v)/rvor more simplified
c = 1/rv - rNote. If you know the answer it should help how to get it
HELP PLZ I HAVE LIKE 20-30 MINUTES PLZ I BEG ILL MARK YOU BRAINLIEST
Answer:
.........(loading)....................
Step-by-step explanation:
...........................
28% of 2.97 to the nearest hundredth
Answer:10.61
Step-by-step explanation:
2.97/0.28= 10.61
A popular streaming service surveyed all of the students at a school about the number of TV shows they streamed
last Friday night, then recorded the results.
Let M = the number of TV shows streamed last Friday night.
Number of Shows Streamed
0
1
2
3
Probability
0.095 0.203 0.326 0.187
Calculate the median of M. Use the histogram to corroborate your choice of the distribution's shape.
Since the shape of the distribution for number of TV shows streamed is
we expect the median
to be
the mean number of TV-shows streamed. This is confirmed when we calculate the
median to be compared to the mean of 2.187 TV shows streamed. The shape of the histogram supports the
relationship of the mean and the median because the mean is
4
0.174
5
0.015
Answer:
Step-by-step explanation:
To find the median, we need to find the middle value when the data is arranged in increasing order. We can use the cumulative probability to do this:
Number of Shows Streamed Probability Cumulative Probability
0 0.095 0.095
1 0.203 0.298
2 0.326 0.624
3 0.187 0.811
Since the cumulative probability for 2 is the smallest value greater than 0.5, the median is 2. Therefore, the median number of TV shows streamed is 2.
The histogram appears to have a roughly symmetric shape, which supports the assumption that the distribution is approximately normal.
Simplify: (6a +5)(4a+5)
Answer:
24a^2 +50a+25
Step-by-step explanation: