9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The equation can be rewritten to ...
8x = 13n +4 . . . . for some integers x and n
x = (13n +4)/8
For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.
x = (13·4 +4)/8 = 56/8
x = 7
__
The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.
need help with math plz thanks
Answer:
0
Step-by-step explanation:
\(f(x)=2x-4\\f(2)=2(2)-4\\f(2)=4-4\\f(2)=0\)
Answer:
0
Step-by-step explanation:
If f(x) = 2x - 4
Then f(2) = 2(2) -4
f(2) = 4 - 4
= 0
Match each equation on the left to the mathematical property it uses on the right.
Answer: 1,d 2,e 3,c 4,b 5,a
Step-by-step explanation:
Number is from top to bottom on left and letters are same way on right.
A number is divided by 4,and the qoutient is added to 3. The result is 24. What is the number?
Let the number be x.
If the number is divided by 4, we have:
\(\frac{x}{4}\)The quotient is added to 3, this gives us:
\(\frac{x}{4}+3\)The result is 24. This leads to the equation:
\(\frac{x}{4}+3=24\)Next, we solve for the number x.
\(\begin{gathered} \frac{x}{4}+3=24 \\ \text{Subtract 3 from both sides} \\ \frac{x}{4}+3-3=24-3 \\ \frac{x}{4}=21 \\ \text{Cross multiply} \\ x=21\times4 \\ x=84 \end{gathered}\)Therefore, the number is 84.
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Isabella sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
105 visitors purchased no costume.
41 visitors purchased exactly one costume.
8 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.
The total number of visitors is 105 + 41 + 8 = 154.
The number of visitors who purchased one or more costumes is 41 + 8 = 49.
So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.
Which equation is equivalent to the equation 6x + 9 = 12?
Step-by-step explanation:
6x + 9 = 12
6x = 12 - 9
6x = 3
x = 3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
6x + 9 = 12
6x = 12 - 9
6x = 3
x = 3/6
x = 1/2
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $20. For one performance,there were 40 tickets sold in all, and the total amount paid for them was $950. How many tickets of each type were sold?Number of advance tickets sold: Number of same-day tickets sold:
Let x represent the number of advanced tickets
Let y represnet the number of same-day tickets
Sum of the tickets is 40, i.e
\(x+y=40\)For the total amount made for ticket sold
Where
One advanced tickets, x, cost $30
One same-day tickets, x, cost $20
\(\begin{gathered} 30x+20y=950 \\ \text{Divide through by 10} \\ 3x+2y=95 \end{gathered}\)Solving simultaneously to find the number of advanced and same-day tickets sold
\(\begin{gathered} x+y=40\text{ (1)} \\ 3x+2y=95\text{ (2)} \\ \text{From equation (1)} \\ x=40-y\text{ (3)} \end{gathered}\)Substitute 40-y for x into equation (2)
\(\begin{gathered} 3(40-y)+2y=95_{} \\ 120-3y+2y=95 \\ 120-y=95 \\ \text{Collect like terms} \\ y=120-95 \\ y=25 \end{gathered}\)Substitute 25 for y into equation (3)
\(\begin{gathered} x=40-y \\ x=40-25 \\ x=15 \end{gathered}\)Hence, the number of advanced tcikets, x, sold is 15
And the number of same-day tickets, y, sold is 25
HELP ME PLEASEEEEEEEEEEEEEEEEEEEE
Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone. Which graph best represents this situation?
The graph will have a slope of 15 and is attached with the answer below.
What is a constant of proportionality?The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.
When y and x are two quantities that are directly proportional to one another, the proportionality constant k is defined as k=y/x.
Given that Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone.
The equation can be written as:-
y = kx
The value of k will be calculated as :-
60 = k x 5
k = 60 / 5
k = 12
The equation will be:-
y = 12x
The graph of the linear relation is attached with the answer below.
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NEED HELP ASAP!! ( NEED DONE WITHIN THREE MINS OF POSTING)
Answer: i am not positive but i think 2.5 on x and 9, and 27 on y
Step-by-step explanation: just want to help asap
Hello please, I did not understand this exercise. In the plane referred to an orthonormal reference (o, i, j) place the points A, B, C and D defined by: A(6; 4); B(3; 7); C(12; -2); D(9; 7).
Show that C is the image of A by dilation with center B and ratio 3.
We have shown that C is the image of A by dilation with center B and ratio 3.
Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:
Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:
AB = A - B = (6 - 3, 4 - 7) = (3, -3)
Multiply the vector AB by the dilation ratio of 3:
3 AB = 3 (3, -3) = (9, -9)
Add the resulting vector to the coordinates of the center B:
BC = B + 3 AB = (3, 7) + (9, -9)
BC = (12, -2)
Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:
BC = (12, -2) = C
Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.
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i need help with this, please and thanks. I'll appreciate your help.
Answer:
the answer is -15 17/34, -15 ,8/20, 15 9/30
Step-by-step explanation:
pllz may i have brainliest
Answer:
-15 17/34, -15, 8/20, & 15 9/30
Step-by-step explanation:
1st: -15 17/34
2nd: -15
3rd: 8/20
4th: 15 9/30
I hope this helps you with your assignment and gl on your assignment! :D
Kari has a box with brand new pencils that are all the same size. She has 1 yellow pencil, 5 blue pencils, and 5 red pencils. She will pick two pencils without looking and without replacement.
Write an expression that can be used to determine the probability that Kari will first pick a blue pencil and then a yellow pencil.
Answer:
(5/11)(1/10)
Step-by-step explanation:
probability of picking blue = 5/11
Now there are only 10 pencils
probability of picking yellow = 1/10
probability of picking blue, then yellow = (5/11)(1/10) = 1/22
I need help and pls help
Answer:
ok no problem
i am here to give knowledge
Solve for
x. Round to the nearest tenth, if necessary.
ø= 20°
Adj = 24
Hyp = x
Cos ø = Adj/Hyp
Hyp = Adj/ Cos ø
x = 24/ cos 20
x= 24/0.9397
x= 25.5 to the nearest tenth
Rent for a 3 bedroom apartment is regularly $936 per month. Apartment management is now offering one month free for a 12 month lease. If you sign a one year lease and apply the free month equally across months, how much is your monthly lease amount?
Answer:
$858
Step-by-step explanation:
Monthly lease amount is ⇒ $936
Considering one moth free, yearly rental would be
⇒ 11*$936= $10296The monthly lease amount :
⇒ $10296 / 12 = $858Without multiplying, how can you tell which product will be greater, 3 x 4 or 6 x 2?
Answer:
we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
Step-by-step explanation:
We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
NEED MORE EXPLANATION?
The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.
A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.
To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.
Here are the vocabulary words and their corresponding examples:
Vocabulary Word: In-state
Example: A student who is a resident of the same state where the university is located.
They pay lower tuition fees compared to out-of-state or foreign students.
Vocabulary Word: Out-of-state
Example: A student who is not a resident of the state where the university is located.
They typically pay higher tuition fees compared to in-state students.
Vocabulary Word: Foreign
Example: A student who is from a country other than the country where the university is located.
They are international students who may have different visa requirements and tuition fees.
To match these vocabulary words with their corresponding examples:
In-state: A student from the same state as the university, paying lower tuition fees.
Out-of-state: A student from a different state than the university, paying higher tuition fees.
Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.
By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.
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Evaluate 3x2 + 3x - 9, when x = 2
Answer:
9
Step-by-step explanation:
3x^2 + 3x - 9
Substitute x = 2 into the equation.
3(2)^2 + 3(2) - 9
3(4) + 6 - 9
12 + 6 - 9
18 - 9 =
9
The angle between the generator and the central axis of a double-napped cone is 40°. A plane intersects the central axis at an angle between 40° and 90°. Which conic section is formed?
Answer:
Ellipse
Step-by-step explanation:
From the given information:
Suppose the plane cuts the cone in such a manner that the plane is neither perpendicular nor parallel to the axis and also the angle of intersection is greater than the generator angle.
Then the conic section formed is an Ellipse.
The Conic Section that is formed from the intersection of the central axis at an angle between 40° and 90° will be An Ellipse.
How to transform a Plane?Let us consider that the plane cuts the cone in such a manner that the plane is neither perpendicular nor parallel to the axis and also the angle of intersection is greater than the generator angle.
Thus, we can say that when the plane intersects the double-napped cone in such a manner that the angle between the vertex and the angle is greater than the vertex angle.
Then the resulting conic section formed is an Ellipse.
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5x + 8 = ______, when x = 4
Answer:
28
Step-by-step explanation:5 times 4 plus 8 is 28
1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, How much is paid for that
month?
Year?
1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.
To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:
Step 1: Determine the number of days covered in June.
Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.
Step 2: Calculate the daily rate.
To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:
Daily rate = 6,144 / 365
Step 3: Calculate the amount paid for June.
The amount paid for June can be found by multiplying the daily rate by the number of days covered:
Amount paid for June = Daily rate * Number of days covered in June
Step 4: Calculate the amount paid for the year.
To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):
Amount paid for the year = Daily rate * 365
Now let's perform the calculations:
Step 2: Daily rate
Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)
Step 3: Amount paid for June
Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)
Step 4: Amount paid for the year
Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)
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Which statement best describes points P and Q?
Answer:
i need more info
Step-by-step explanation:
Which characteristics of a graph tell you that it represents a proportional relationship
Answer:
the realationship is 2/3 of the quart
Step-by-step explanation:
Answer:
Sample Response: You can tell a graph is proportional if the points form a single line and that line passes through the origin. The relationship between input and output figures will also remain the same throughout.
Step-by-step explanation:
Or you can put what I did which is
If it is a straight line and also passes through the origin then that's how you can tell if it is a proportional relationship.
The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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Please use the following for the next 6 questions. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the population standard deviation for the earnings for such employees is $50. A sample of 100 such employees is selected at random.
1) What is the probability distribution of the average weekly earnings for employees in general automotive repair shops?
2) Find the probability that the average weekly earnings is less than $445.
3) Find the probability that the average weekly earnings is exactly equal to $445.
4) Find the probability that the average weekly earnings is between $445 and $455.
5) In answering the previous 3 questions, did you have to make any assumptions about the population distribution?
6) Now assume that the weekly earnings for employees in all general automotive repair shops is normally distributed, obtain the probability that a given employee will earn more than $480 in a given week.
1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.
3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.
4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.
5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.
6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.
△TOPtriangle, T, O, P is rotated − 18 0 ∘ −180 ∘ minus, 180, degrees about the origin. Draw the image of this rotation
A graph of the resulting triangle after a rotation of -180° about the origin is shown below.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of triangle TOP 180° counterclockwise or -180° about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point T (6, 0) → Coordinates of point T' = (-6, 0)
Coordinates of point O (-2, -5) → Coordinates of point O' = (2, 5)
Coordinates of point P (-2, 5) → Coordinates of point P' = (2, -5).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Multiply the following using repeated addition: 4(-3)
The perimeter of the rhombus is 40 cm and the cosine of the acute angle is √19 / 10. Find the height of the rhombus
50 points!
Answer:
9 cmStep-by-step explanation:
The acute angle is opposite to the height.
Let the height be h and the acute angle α.
Sides of the rhombus are equal, so each side will measure:
P / 4 = 40/4 = 10 cmThe ratio of height to hypotenuse is sine:
sin α = h / 10Work out the value of h:
h = 10 sin α = 10 √(1 - cos² α) = 10 √(1 - 19/100) = 10 √(81/100) = 10 (9/10) = 9 cmA store owner decides to mark up all items by 30%. What is the selling price of an item that originally cost $10? Practice Use the Percent of Change Gizmo to help you determine your answer.
Charles stands 18 m from a circular fountain. If his lines of sight form tangents to the fountain and make an angle of 45°, what is the measure of the arc of the fountain that Charles lines of sight intersect?
The length of the arc on the pool is 14.14m
What is length of an arcThe length of an arc depends on the radius and the angle subtended by the arc. The formula to calculate the length of an arc is: length of arc = (radius x angle in radians).
The formula can be written as;
L = (θ / 360) * 2πr
L = (45 / 360) * 2π * 18
L = 0.125 * 36π
L = 14.14m
The length of the arc is 14.14m
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