Answer:
yes two angles are congruent
A line passes through the point (-4,-3) and has a slope of -3.
Answer:
your answer would be y=-3x-15
Step-by-step explanation:
At a grocery store, you want to buy lb of 2 1/2cheese What decimal should the digital scale show
Answer:
The tenths place.
Step-by-step explanation:
If you want to buy 2 1/2 lb of cheese, you want to buy 2.5lbs. The tenths place is the first place after the decimal, and the place the scale needs to show to show you 2.5lbs.
Answer:
tenths place
Step-by-step explanation:
It is given that y is directly proportional to x. When x = 3, y = 18. (a) Find the equation connecting x and y. (b) Hence, find (i) the value of y when x = : 12, (ii) the value of x when y = 42.
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 3, y = 18 , then
18 = 3k ( divide both sides by 3 )
6 = k
y = 6x ← equation of proportion
(b)
(i)
when x = 12 , then
y = 6 × 12 = 72
(ii)
when y = 42
42 = 6x ( divide both sides by 6 )
7 = x
the chance of rain is forecast to be 20% each day over the next 7 days. how many rainy days should be expected?
Answer:
The forecasted 20% chance of rain represents the probability of rain on any given day. This does not mean that exactly 20% of the days will have rain, but rather each day independently has a 20% chance of rain.
To calculate the expected number of rainy days over the next 7 days, you can multiply the total number of days (7) by the probability of rain on any given day (0.20 or 20%).
So, the expected number of rainy days is 7 * 0.20 = 1.4 days.
This, of course, is a statistical average. In reality, you can't have 1.4 days of rain - you'll either have 1 day, 2 days, or some other whole number of days. But on average, over many sets of 7-day periods, you'd expect about 1.4 days to have rain.
HELP GEOMETRY TRIANGLES
Answer:
x=21
Step-by-step explanation
Which expression is equivalent to 6x - 24?
A. 6(x-24)
B. 6(x-18)
C. 6(x-4)
D. 24(x-6)
Answer:
C
Step-by-step explanation:
If you factorise 6x-24 you will get 6(x-4) as 6 times x equals 6x and 6 times -4 equals -24.
Kadin and Silas went to a movie that started at 1:55 p.m. and got out at 4:10 p.m.
How long was the movie?
O A. 3 hr. 15 min.
O B. 2 hr. 55 min.
C. 3 hr. 45 min.
O D. 2 hr. 15 min.
E. 2 hr. 65 min.
Answer:
D
Step-by-step explanation:
4.10pm-1.55pm
=3.70pm-1.55pm
=2hr15min
need help with multiple questions (and if you can, show your work, thanks):
1: Measure 8 tbsp. chocolate sauce and add 2 1/2 cups of milk.
2: Start with 1 3/4 cups of milk and add 2 1/2 tbsp. chocolate sauce.
3: Add 3 1/3 tbsp. chocolate sauce to 1 1/4 cups milk.
4: For every 1 cup of milk add 2 1/2 tbsp. of chocolate sauce.
5: Stir 1 tbsp. chocolate sauce into 2/3 cup milk.
With this query, no effort is necessary. measure the tbsp. of all items.
Is milk consumption healthy?A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.
1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.
No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.
2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.
No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.
No work is required for this question. It is a simple instruction to add \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.
4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.
5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.
No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.
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Every pint is 2 cups. This can be expressed using the equation y × 2 = Z, where y is equal to the number of pints and Z is equal to the total number of cups. Using the equation find the total cups in 7 pints._______ cups
for 7 pints
\(\begin{gathered} y\times2=Z \\ 7\times2=14 \end{gathered}\)answer 14 cups
i do not know this answer
Answer:
(-6,3)
Step-by-step explanation:
H is 1 point above y=4, so H' will be 1 point below y=4.
Hope this helps!
ibrahim
solve the system using substitution. 3x + 4y = 2 2x + 2y = 4
Answer:
x = 6, y = -4
Step-by-step explanation:
Equation 1: 3x + 4y = 2
Equation 2: 2x + 2y = 4
Step 1: Solve Equation 2 for x
2x + 2y = 4
2x = 4 - 2y
x = (4 - 2y) / 2
x = 2 - y
Step 2: Substitute x into Equation 1
3x + 4y = 2
3(2 - y) + 4y = 2
6 - 3y + 4y = 2
y + 6 = 2
y = 2 - 6
y = -4
Step 3: Substitute y into x = 2 - y
x = 2 - y
x = 2 - (-4)
x = 2 + 4
x = 6
Solution: x = 6, y = -4
In a complete paragraph, pick a scenario where concepts from this algebra course would be used - it could be in your own life, it could be in a specific work field such as a construction worker, or working in a business, etc. Choose at least 2-3 concepts to include, explain your scenario, how these concepts apply, and provide a worked example for each concept. Use the following format: Topic Sentence: 1 concise sentence describing a scenario where concepts from this course could be used. Supporting Detail: 1-2 sentences explaining how 1 concept from the class can be applied to the scenario. Worked Example: Show a worked example for the concept described above. Supporting Detail: 1-2 sentences explaining how 1 concept from the class can be applied to the scenario. Worked Example: Show a worked example for the concept described above. Conclusion: 1-2 sentences describing how applying the concepts in this algebra course to a real-life situation helps in understanding the material in the course.
Scenario: A small business owner needs to analyze their sales data to make informed decisions about pricing and profitability.
Supporting Detail 1: The concept of linear equations can be applied to determine the break-even point and set optimal pricing strategies for the business.
Worked Example 1: Let's say the small business sells a product for $10 each, and the fixed costs (expenses that don't vary with the number of units sold) amount to $500. The variable costs (expenses that depend on the number of units sold) are $2 per unit. We can use the formula for a linear cost equation (C = mx + b) to find the break-even point where revenue equals total costs:
10x = 2x + 500
Simplifying the equation, we get:
8x = 500
x = 500/8
x = 62.5
The break-even point is 62.5 units. Knowing this information, the business owner can make decisions about pricing, cost control, and production targets.
Supporting Detail 2: The concept of systems of equations can be applied to optimize the allocation of resources in the business.
Worked Example 2: Let's consider a scenario where the business owner sells two different products. Product A generates a profit of $5 per unit, while Product B generates a profit of $8 per unit. The business owner has a limited budget of $500 and wants to determine the optimal allocation of resources between the two products. We can set up a system of equations to represent the profit constraints:
x + y = 500 (total budget)
5x + 8y = P (total profit, represented as P)
By solving this system of equations, the business owner can find the optimal values of x and y that maximize the total profit while staying within the budget constraints.
Conclusion: Applying concepts from this algebra course to real-life scenarios, such as analyzing sales data for a small business, helps in understanding the material by providing practical applications. It demonstrates the relevance of algebra in making informed decisions, optimizing resources, and maximizing profitability.
These examples highlight how algebraic concepts enable problem-solving and provide valuable tools for individuals in various fields, including business and entrepreneurship.
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2-72. Steve and Cathy are playing a card game with a standard deck of 52 playing cards.Cathy is dealt an ace and a four. Steve is dealt a jack.a. How many cards are left in the deck? [ 49 ]b. How many of the remaining cards are aces? [ 3 ]c. If Steve gets an ace, he will win. What is the probability that he will get an ace on the next card he is dealt? [ 3/49 ]d. Next Steve gets a two and Cathy gets a five. What is the probability that Stevewill get a nine on the next card he is dealt? [ 4/47 ]
The probability that Steve will get a nine on the next card he is dealt is 4/47. Steve and Cathy are playing a card game with a standard deck of 52 playing cards. After Cathy is dealt an ace and a four and Steve is dealt a jack, there are 49 cards left in the deck. Out of the remaining cards, there are three aces.
If Steve gets an ace on the next card he is dealt, he will win. The probability of this happening is 3/49, as there are three aces left in the deck out of a total of 49 cards remaining.
After Steve gets a two and Cathy gets a five, there are now 47 cards left in the deck. The probability of Steve getting a nine on the next card he is dealt is 4/47, as there are four nines left in the deck out of a total of 47 cards remaining.
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In order to estimate f, the true fraction of smokers in a large population, Alvin selects n people at random. His estimator M_n is obtained by dividing Sn, the number of smokers in his sample, by N, i.e., Mn=Sn/n. Alvin chooses the sample size n to be the smallest possible number for which the Chebyshev inequality yields a guarantee that P(|Mn−f|≥ϵ)≤δ where epsilon and delta are some prespecified tolerances. Determine how the value of n recommended by the Chebyshev inequality changes in the following cases.
a. The value of epsilon is reduced to half its original value.
b. The value of delta is reduced to half its original value.
a. The value of n recommended by the Chebyshev inequality increases by a factor of 4 when the value of epsilon is reduced to half its original value.
This is because as epsilon decreases, the tolerance for error decreases, which means that a larger sample size is required to ensure that the estimate of f is accurate within the specified tolerance.
b. The value of n recommended by the Chebyshev inequality increases by a factor of 4 when the value of delta is reduced to half its original value.
This is because as the delta decreases, the tolerance for the probability of error decreases, which means that a larger sample size is required to ensure that the estimate of f is accurate with the specified probability.
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Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. x2-7x 0 74 011 Write the form of the partial fraction decomposition of the rational expression, Do not solve for the constants. 6x+5 (x+ 8) 74.014 Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 20-3 points LarPCalc10 7.4 023 8 3 4
To write the form of the partial fraction decomposition of the given rational expressions, we need to express them as a sum of simpler fractions. The general form of a partial fraction decomposition is:
f(x) = A/(x-a) + B/(x-b) + C/(x-c) + ...
where A, B, C, etc., are constants and a, b, c, etc., are distinct linear factors in the denominator.
For the rational expression x^2 - 7x:
The denominator has two distinct linear factors: x and (x - 7). Therefore, the partial fraction decomposition form is:
(x^2 - 7x)/(x(x - 7)) = A/x + B/(x - 7)
For the rational expression 6x + 5 / (x + 8):
The denominator has one linear factor: (x + 8). Therefore, the partial fraction decomposition form is:
(6x + 5)/(x + 8) = A/(x + 8)
For the rational expression 20 - 3 / (4x + 3):
The denominator has one linear factor: (4x + 3). Therefore, the partial fraction decomposition form is:
(20 - 3)/(4x + 3) = A/(4x + 3)
In each case, we write the partial fraction decomposition form by expressing the given rational expression as a sum of fractions with simpler denominators. Note that we have not solved for the constants A, B, C, etc., as requested.
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plz help!!! tell whether each statement is true or false
1. m + 15c + (-3m) - 4 simplifies to 8mc
2. 30x + 9 + 9m + 14x - 3m simplifies to 34x + 9 + 6m
3. 6 + 4m - 17g + 6m + 3g simplifies to 6 + 10m - 14g
4. 17 + 6y - 10 + m + 7m simplifies to 27 + 6y + 8m
5. -j + 10s - j + 12 - 8s simplifies to -2j + 2s + 12
Answer:
1. False
2. False
3. True
4. False
5. True
Step-by-step explanation:
As well f 2011, the following are the ages at which a country president were inaugurated.Construct a grouped frequency distribution for the data. Use 41-45 for the first class and use the same width for each subsequent class.
Age Frequency
41-45 5
46-50 9
51-55 3
56-60 10
61-65 10
66-70 6
1) Since the frequency represents how many times a given data point occurs within a Data Set. We can fill it in by counting.
2) So let's write them out (Note that in this case the least value is included as well as the greater one):
Age Frequency
41-45 5
46-50 9
51-55 3
56-60 10
61-65 10
66-70 6
And that is the answer
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a small given that he or she ordered a hot
drink?
Rounded to the nearest percent, [? ]%
Enter
Copyright
Answer: p=25%
Step-by-step explanation:We have a sample of 100 clients.
To find the probability that a randomly selected customer chooses a cold drink, we must first count how many people in the sample chose cold drinks.
The table shows that cold drinks were
8 small, 12 medium and 5 large.
Then the number of cold drinks was:
The probability that the customer ordered a small given that he or she ordered a hot drink is 67%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given a table which shows the number of orders of coffee by first 100 customers.
Out of it,
Total number of orders which are hot = 5 + 48 + 22 = 75
Number of orders which are small out of the total hot drinks = 5
Probability = 5/75 = 0.6667 = 66.67% ≈ 67%
Hence the required percent is 67%.
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Can some please answer this?
Answer:
11/2
Step-by-step explanation:
when you do 11/4 divided by 1/2, think of it as 11/4 TIMES 2 because you can flip equations with division, so your answer would be 22/4 or 11/2
How would I write 2x-5y=15 into slope intercept form
Identify the correct graph of the system of equations. 3x − y = 12 x + 4y = 4 The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12. The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12. The graph shows a line with an x--intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma 12. The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
The correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
What is the system of equations?
A system of equations is a set of two or more equations with the same variables. The goal of a system of equations is to find the values of the variables that simultaneously satisfy all the equations in the system.
The given equations are
3x + y = 12
x + 4y = 4
To graph the system of equations, we can start by finding the x-intercepts and y-intercepts of each line.
The x-intercept is the point where the line crosses the x-axis, which means that the y-value is 0. To find the x-intercept, we can set y = 0 and solve for x:
3x + y = 12
3x + 0 = 12
3x = 12
x = 4
So, the x-intercept of the first line is (4, 0).
Next, we can find the y-intercept, which is the point where the line crosses the y-axis, meaning that the x-value is 0. To find the y-intercept, we can set x = 0 and solve for y:
3x + y = 12
0 + y = 12
y = 12
So, the y-intercept of the first line is (0, 12).
We can repeat this process for the second line to find its x-intercept and y-intercept:
x + 4y = 4
x + 4 * 0 = 4
x = 4
So, the x-intercept of the second line is (4, 0).
Next, we can find the y-intercept by setting x = 0:
x + 4y = 4
0 + 4y = 4
4y = 4
y = 1
So, the y-intercept of the second line is (0, 1).
Now that we have found the x-intercepts and y-intercepts of each line, we can plot these points on a coordinate plane and draw lines through them to obtain the graph of the system of equations.
The graph shows a line with an x-intercept at (4, 0) and a y-intercept at (0, 12). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 1).
Therefore, the correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.
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I need HELPPPP I'll mark you the brainliest!
B, x = 2
Step-by-step explanation:
Given the vertices of the image, and preimage of this right isosceles triangle, we can find the line of reflection by definitively understanding how reflections work. Given the preimage contains the points A(-1,1), B(1,-1), and C(-3,-1). And that the image contains the points A'(5,1), B'(3,-1), C'(7,-1). We can differentiate the corresponding points and apply them to the rules of a reflection. if figure Z is reflected over x = n,
than Z'(x,y) = Z(-x+2n,y). Logically, you can see that this pattern resembles all three coordinates for the transformation. i.e A'(5,1) = A(--1+2n,1) ; (1+2n,1) = (5,1) ; 1 + 2n = 5, 2n = 4, n = 2
we can prove this by using another point:
B'(3,-1) = (-1+2n,-1) = (-1 + 4, -1) = (3,-1)
Hopefully you understand,
Pls mark brainliest this took me a very long time.
192 is what percent of 60
Answer:
320%
Step-by-step explanation:
Use the image to find the angles or their measures assuming CD −‹ ›
is parallel to EF.
The correct answers for the given angles are;
5) Not all angles are Congruent to ∠APD.
6) m∠BPD = 165°
7) m∠APG = 55°
8) Not all angles are Congruent to ∠GPC
How to find congruent angles?5) We are told that all angles are Congruent to ∠APD.
Now, for all angles to be congruent to ∠APD, it means that they must all be equal to ∠APD. Now, this is not true because as we can see from the image that there are different angles cut by different lines in disproportionate patterns.
6) We are told that m∠BQE = 165°.
Now, we can see that m∠BPD is a alternate angles to m∠BQE and as such they are equal. Thus; m∠BPD = 165°
7) We see that angles BPC and DPA are opposite angles and as such they are equal. Now, if m∠DPG = 55°, and m∠BPC = 110°, then we can say that m∠APG = 110° - 55° = 55°
8) Now, for all angles to be congruent to ∠GPC, it means that they must all be equal to ∠GPC. Now, this is not true because as we can see from the image that there are different angles cut by different lines in disproportionate patterns.
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4x-5y=-45
put the following equation of a line into slope- intercept form, simplifying all fractions.
solve by substitution
y=-2x + 3
y=2x-1
Answer:
Answer is in the picture bro.
Step-by-step explanation:
F(-4)=-8 and f(-8)=-11
Answer:
f=2 and f=11/8
Step-by-step explanation:
Let's solve your equation step-by-step.
f(−4)=−8
Step 1: Simplify both sides of the equation.
−4f=−8
Step 2: Divide both sides by -4.
−4f
−4
=
−8
−4
f=2
Let's solve your equation step-by-step.
f(−8)=−11
Step 1: Simplify both sides of the equation.
−8f=−11
Step 2: Divide both sides by -8.
−8f
−8
=−11/−8
f=11/8
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000 automobile. What is the value of the car at the end of the second year?
$14,080
$17,600
$19,800
$26,400
Answer:
$14,080
Step-by-step explanation:
You can use a formula for exponential decay, but since it is only 2 years, you can find 80% of the original value, and then 80% of the new value.
Original value: $22,000
Value after 1 year: 80% of $22,000 = 0.8 * $22,000 = $17,600
Value after 1 year: $17,600
Value after 2 years: 80% of $17,600 = 0.8 * $17,600 = $14,080
Answer: $14,080
Answer:
it is A , 14,080
Step-by-step explanation: edge 2021
What is the value of x in the solution of the system of equations below?
8x-y=20
Y=3x
Answer:
x=4
where y =3x
8x-3x=20
5x=20
5x/5=20/5
x=4
Answer:
32-12=20 or x=4
Step-by-step explanation:
This is basically saying 8x-3x=20
so first you want to do 8x-3x to end up with 5x
then from there you have the equation..
5x=20
in order to figure out what x is you need to divide 20 by five so you just have the x and get rid of the 5
so 20 divided by 5 = 4
this means x=4 but you need to plug it into the equation
8x= 8 times 4 = 32 and 3x= 3 times 4 = 12
so 32-12=20
Pls answer all the questions. I really need help pls help me and my friends thank you.
Answer:
<2 = 45
< 7 = 135
< 3 = 135
< 5 = 135
<8 = 45
< 6 = 45
Step-by-step explanation:
Angles 2 and 7 are supplemental angles. This means that together they add to 180.
x + 3x = 180 Combine like terms
4x = 180 Divide both sides by 4
x = 45
<2 = 45
Angle 7
3x Substitute 45 for x
3(45)
135
Angle 3
Corresponding angle to 7. Corresponding angles are congruent (equal).
Angle 5
Vertical to angle 7. Vertical angles are congruent.
Angle 8
Alternate exterior angle to 7. Alternate exterior angels are congruent.
Angle 6
Vertical angle to 8. Vertical angles are congruent.