Answer:
1. x=10,-10
2. x = 5
x = -5
3. x=-5
4. x ∈ {4,- 3/2}
Step-by-step explanation:
Last year, Jane opened an investment account with 5500 . At the end of the year, the amount in the account had increased by 7.8%. How much is this increase in dollars? How much money was in her account at the end of last year? Increase in amount: Year-end amount:
Answer:
429 increase
5929 end of year
Step-by-step explanation:
simply do 5500 times 1.078 to get 5929 as ur total subtract 5500 to tet your increase of 429
The answer is 429.also the amount is 439
Number 17 pls help me for 13 points !!
Answer:
xfgfjfgxjfgj
Step-by-step explanation:gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
A book is chosen randomly Complete the steps to find
the probability that the book is nonfiction given that it is
hard-covered
n
1 Find the probability that a chosen book is
nonfiction and hard-covered. PNH) =
2 Find the probability that a chosen book is hard-
covered. P(H) = 1
3. Calculate the conditional probability
PN n H
Answer:
1) 4/20
2) 11/20
3) 4/11
Step-by-step explanation:
Answer:
A, D, A or 4/20, 11/20, 4/11
Step-by-step explanation:
i just did it on edge and it was correct
Help with my homework. Please.
Answer:
Step-by-step explanation: since average speed = total distance/time
a)average speed of the journey from my home town to A = 10 miles/20 minutes = 0.5
b)journey from my home town to B = 20 miles/30 minutes = 0.7
c)10 miles + 20 miles = 30 miles
which takes 50 minutes
so: 30 miles/50 minutes = 0.6
You want to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, you can pay $20 per month, plus a $60 signing fee. With the second membership plan, you can pay $40 per month plus no signing fee. At what number of months will both plans cost the same amount?
Answer:
after 3 months, both plans cost the same amount
Step-by-step explanation:
Let x is the number of monthsLet y is the total costGiven the following information:
Plan 1: pay $20 per month, plus a $60 signing fee
=> the equation for this plan is:
y1 = 20x+60
Plan 2: pay $40 per month plus no signing fee
=> the equation for this plan is:
y2 = 40x
To find number of months will both plans cost the same amount, we need to set the equation of plan 1 = equation of plan 2
<=> y1 = y2
<=> 20x+60 = 40x
<=> 20x = 60
<=> x = 3
So after 3 months, both plans cost the same amount
Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods.
Option 1: He will ask every fifth person on each English class roster.
Option 2: He will attend a walkathon to ask teen participants about the ways they volunteer.
Which statement about the methods is true?
Answer
option 2
Step-by-step explanation:
Answer:
option 2
Step-by-step explanation:
just did the test aye
Consider the cylinder with a volume of 132π cm3. A cylinder with volume of 132 pi centimeters cubed. What is the volume of a cone with the same radius and height as the cylinder? 33 pi centimeters cubed 44 pi centimeters cubed 66 pi centimeters cubed 132 pi centimeters cubed
Answer:
44 pi centimeters cubed
Step-by-step explanation:
Since, base radius and height of cone are equal to to that of cylinder. Hence,
[tex]Volume \: of \: cone \\ = \frac{1}{3} \times Volume \: of \: cylinder \\ = \frac{1}{3} \times132\pi \\ = 44\pi \: {cm}^{3} [/tex]
Answer:44 pi centimeters cubed
Step-by-step explanation:
JK has endpoints at J(0, 7) and K(10, –10). Find the midpoint M of JK.
Step-by-step explanation:
Midpoint=(X1+X2/2,y1+y2/2
[(0+10)/2,(7-10)/2]
(5,-3/2)
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, proj,u
u = (-6,8), v = (7,1)
For u = (-6,8) and v = (7,1), the vector u can be written as the sum of two orthogonal vectors (-4.76, -0.68) and (-1.24, 8.68) where one is the projection of u onto v.
Explanation:First, we need to find the vector projection of u onto v. The formula to find the vector projection of u onto v is given by: projv(u) = [(u.v)/(v.v)] * v. Here '.' represents dot product of vectors.
So, substitute the given vectors u = (-6,8) and v = (7,1) into the formula.
Calculate dot product u.v = (-6*7) + (8*1) = -42 + 8 = -34 Calculate dot product v.v = (7*7) + (1*1) = 49 + 1 = 50 Substitute u.v and v.v in the formula: projv(u) = [-34 / 50] * (7,1) = (-4.76, -0.68).
This is one of the vectors. The other vector, orthogonal to v, is given by u minus the projection: u - projv(u) = (-6,8) - (-4.76, -0.68) = (-1.24, 8.68).
So, the vector u can be written as the sum of two orthogonal vectors (-4.76, -0.68) and (-1.24, 8.68).
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Which lists all the lines that are parallel to line s?
First answer gets brainliest!!!!
In the right triangle shown, m∠A=30°m, AB = 12\sqrt{3}AB=12
How long is AC?
The correct length of AC is 18
what solution is y=x+6 and 3x-3y=18
Answer:
0
Step-by-step explanation:
Substituting y into equation 2...
3x - 3(x + 6) = 18
3x -3x -18 = 18
3x - 3x = 18 - 18
0 = 0
Captain Ishaan has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless band of thieves. The Captain has probability \dfrac{4}{5} 5 4 start fraction, 4, divided by, 5, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{7} 7 1 start fraction, 1, divided by, 7, end fraction. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Answer: [tex]\frac{4}{35}[/tex]
Step-by-step explanation: The probability of Captain Ishaan hitting the pirate's ship is:
P(A) = [tex]\frac{4}{5}[/tex]
The probability of the pirate hitting Captain's ship is:
P(B) = [tex]\frac{1}{7}[/tex]
So, the probability of both hitting each other is a probability of A and B occuring, which means:
P(A) . P(B) = [tex]\frac{4}{5} . \frac{1}{7}[/tex]
P(A) . P(B) = [tex]\frac{4}{35}[/tex]
The probability of both the pirate and the Captain hit each other's ship is
[tex]\frac{4}{35}[/tex] or 11.43%
20 POINTS!!!!!
Shawna can paint a fence in 8 hours. Kevin can paint the same fence in 4 hours. How long will it take them working together? Which of the following equations could be used to solve this problem?
[tex]\Large{8t + 4t = 1}[/tex]
[tex]\Large{ ( \frac {1}{8} ) \cdot t + (\frac {1}{4} ) \cdot t = 1}[/tex]
[tex]\Large{( \frac {1}{t} ) \cdot 8 + (\frac {1}{t} ) \cdot 4 = 1}[/tex]
[tex]\Large{( \frac {1}{8} ) + (\frac {1}{4} ) = t}[/tex]
Answer: the answer is B
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
Para preparar una empanada hay que añadir, entre otros ingredientes, 1/4 kg de atún, 1/6 kg de cebolla, 1/8 kg de pimiento rojo y 2/5 kg de tomates. a) Para una fiesta queremos llevar seis empanadas, ¿qué cantidad de cada ingrediente necesitaremos? b) Con 2 kg de pimiento rojo, ¿cuántas empanadas podríamos hacer?
Answer:
a. 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes
b. 16 empanadas
Step-by-step explanation:
Since each of these ingredients is needed and the recipe is for a single empanada, each ingredient in the recipe must be multiplied by 6 since they are 6 empanadas, like this:
1/4 kg tuna * 6 = 6/4 = 3/2 kg tuna
1/6 kg of onion * 6 = 6/6 = 1 kg of onion
1/8 kg of red pepper * 6 = 6/8 = 3/4 kg of red pepper
2/5 kg of tomatoes * 6 = 12/5 kg of tomatoes
Therefore 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes need it.
Now, with 2 kg of red pepper, what we should do is divide this quantity by the quantity for a recipe, like this:
2 / (1/8) = 16
that is to say that with 2 kg of red pepper, a total of 16 empanadas would be made
4/3 x −4 = 5 + x Help me please!
A) 0.5
B) 2
C) 18
D) 27
Answer:
The answer is D.
Step-by-step explanation:
4/3 x - 4 = 5 + x
4/3 x = 9 +x
1/3 x = 9
x = 27
What fraction is equivalent to 5.1? is a rationalk number? Explain.
Answer:
5.1 is rational because it can be expressed in the form of a fraction. In proper form the fraction is 5 1/10 and in improper form it is 51/10.
Step-by-step explanation:
Circletown's limits form a perfectly circular shape. It has a population of 20{,}00020,00020, comma, 000 and a population density of 480480480 people per square kilometer.
What is Circletown's radius?
Answer:
3.64
Step-by-step explanation:
Based on the calculations, the radius of Circletown is equal to 3.64 kilometer.
Given the following data:
Total population = 20,000.Population density = 480.How to calculate Circletown's radius?First of all, we would determine the area of Circletown by dividing the total population by its population density as follows:
Area = 20,000/480
Area = 41.67 square kilometer.
Mathematically, the area of a circle is calculated by using this formula:
Area = πr²
Where:
r is the radius of a circle.
Substituting the given parameters into the formula, we have;
41.67 = 3.142 × r²
r² = 41.67/3.142
r = √13.26
r = 3.64 kilometer.
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WILL GIVE BRAINLIST!!!!!Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options..
A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Answer:
A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Step-by-step explanation:
the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Answer:
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
The total number of pages that he read will be 210 pages.
Based on the equation given, the equation to represent Amir's information will be:
y = 35 × x
y = 35x
Jesse's equation will be:
y = 30(x + 1)
Then, we'll equate both equations together. This will be:
35x = 30(x + 1)
35x = 30x + 30
35x - 30x = 30
5x = 30
x = 30/5
x = 6
Therefore, the number of pages read will be:
y = 35x
y = 35 × 6
y = 210 pages.
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The data set below has 6 values.
Find the mean absolute deviation for the data set.
If necessary, round your answer to the nearest hundredth.
8, 6, 6, 18, 17, 11
Calculate the mean of the data set, find the absolute deviation of each data point, and then average those deviations. For this data set, the mean absolute deviation is 4.33.
Explanation:To start off with, the mean absolute deviation is a measure of the dispersion or spread that represents the average difference between the values of the data set and the mean (average).
First, add up all the numbers of the data set. So, 8 + 6 + 6 + 18 + 17 + 11 = 66. Then divide this sum by the number of values (6) to calculate the mean (average). So, 66 ÷ 6 = 11.
Next, find the absolute deviation of each number in the set by subtracting the mean from each number and taking absolute value: |8-11|, |6-11|, |6-11|, |18-11|, |17-11|, |11-11|. This gives us: 3, 5, 5, 7, 6, 0.
Add these absolute deviations: 3 + 5 + 5 + 7 + 6 + 0 = 26. Then divide it by the count of the numbers in the data set (6). So, 26 ÷ 6 = 4.33, which is your mean absolute deviation to two decimal places.
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Final answer:
To find the mean absolute deviation for the data set 8, 6, 6, 18, 17, 11, you first calculate the mean of these numbers, then find the absolute deviations from this mean, and finally calculate the mean of those absolute deviations, which is approximately 4.33.
Explanation:
The student is asking how to find the mean absolute deviation (MAD) for a data set. The data set provided is 8, 6, 6, 18, 17, 11. To calculate the MAD, we first need to find the mean of the data set, then calculate the absolute deviation of each data value from the mean, and finally find the average of those absolute deviations.
Calculate the mean of the data set: (8 + 6 + 6 + 18 + 17 + 11) / 6 = 66 / 6 = 11.
Find the absolute deviation of each data value from the mean: |8 - 11| = 3, |6 - 11| = 5, |6 - 11| = 5, |18 - 11| = 7, |17 - 11| = 6, |11 - 11| = 0.
Calculate the mean of these absolute deviations: (3 + 5 + 5 + 7 + 6 + 0) / 6 = 26 / 6 = 4.33.
Hence, the mean absolute deviation for this data set is approximately 4.33.
A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
Answer:
0.027 to the nearest thousandth.
Step-by-step explanation:
There are 14 marbles in the bag, so:
Prob( a blue on the first draw) = 5/14.
Prob( a blue on the 2nd draw) = 4/13.
Prob( a blue on the 3rd draw) = 3/12 = 1/4.
So the required probability is 5/14 * 4/13 * 1/4
= 20/ 728
= 0.02747.
To calculate the probability of drawing three blue marbles without replacement, multiply the probabilities of drawing a blue marble in each draw. The final probability to the nearest thousandth is approximately 0.043.
Explanation:To find the probability that all three marbles drawn will be blue, we use the formula for calculating the probability of successive independent events (drawing without replacement). We calculate the probability of drawing a blue marble each time and then multiply these probabilities together.
The probability of drawing the first blue marble: P(B1) = 5/14 (since there are 5 blue marbles out of 14 total marbles).After drawing the first blue marble, there are now 4 blue marbles and 13 total marbles left. Thus, the probability of drawing the second blue marble: P(B2 | B1) = 4/13.After drawing the second blue marble, there are 3 blue marbles and 12 total marbles left. The probability of drawing the third blue marble: P(B3 | B1 and B2) = 3/12 or 1/4.To get the overall probability of drawing three blue marbles in a row, we multiply these individual probabilities together: P(all three blue) = P(B1) * P(B2 | B1) * P(B3 | B1 and B2) = (5/14)*(4/13)*(1/4).Calculating this, we get approximately 0.043 when rounded to the nearest thousandth. So, the probability that all three marbles drawn will be blue is 0.043.
Let's brush up your math! whatch the
video below, can you anstater the
question
Answer:
Step-by-step explanation:
3 x 4 = 12
this is the answer
This response provides a general approach to solving mathematical problems due to lack of specific details in the student's question. The steps involve identifying the problem, understanding the problem, setting a plan, implementing the plan, and verifying the correctness of the solution.
Explanation:Due to the limited information provided in the question, I'll assume this is a general Mathematics question. Brainly is a platform where students can ask questions about their schoolwork and tutors will assist by providing accurate responses based on their knowledge. Since a video was mentioned but not provided, I am unable to address specific content from it. However, in Mathematics, it's crucial to understand that solutions typically involve identifying the problem, understanding the problem, making a plan, carrying out the plan, and finally, checking your work to ensure correctness. This process is universally applicable, be it Arithmetic, Algebra, Geometry, or any other branch of Mathematics.
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The mass a book 150 is grams on Earth. What would the mass be on Mars? Why?
Answer:
Mass on mars is 150 grams.
Step-by-step explanation:
We have, mass of a book is 150 grams on the surface of Earth. The amount of matter contained in it is called its mass.
Mass of an object remains constant always. Its value is same in every location.
If the mass of a book on the surface of Earth is 150 grams, then its mass on Mars is also 150 grams. This is because, mass of an object is independent of its location.
Use slope or the distance formula to determine the most precise name for the figure A(-1,-4) B(-1,-1) C(4,1) D(2,-2)
a) kite
b)trapezoid
c)sqaure
d)rhombus
Final answer:
After calculating distances between each pair of points and evaluating the properties of the resulting figure, it has been determined that the most precise name for the figure is a kite. This is due to the specific lengths of its sides and diagonals and their relationship to one another, which fits the definition of a kite.
Explanation:
To determine the most precise name for the figure formed by points A(-1,-4), B(-1,-1), C(4,1), and D(2,-2), we need to calculate the distances between each pair of points (sides of the figure) and evaluate their slopes where applicable.
AB = √(((-1)-(-1))^2 + ((-1)-(-4))^2) = 3
BC = √((4-(-1))^2 + (1-(-1))^2) = √(25 + 4) = √29
CD = √((4-2)^2 + (1-(-2))^2) = √(4 + 9) = √13
DA = √((2-(-1))^2 + ((-2)-(-4))^2) = √(9 + 4) = √13
AC (diagonal) = √((4-(-1))^2 + (1-(-4))^2) = √(25 + 25) = √50
BD (diagonal) = √((2-(-1))^2 + ((-2)-(-1))^2) = √(9 + 1) = √10
With sides AB and CD equal and AD and BC equal, and none of the sides being equal to each other, and considering two unequal diagonals, we can conclude that this figure is a kite, given that a kite has two pairs of adjacent sides that are equal but not all sides are equal and the diagonals are of different lengths.
Add 49 to the quotient of 125 and 5
Answer is:
125/5+49
=74
2x-7=13 what is answer
Answer:
x = 10
Step-by-step explanation:
2x-7=13
2x = 20 (Add 7 to both sides)
x = 10 (Divide by 2 on both sides)
Answer:
10
Step-by-step explanation:
2x - 7 = 13
2x = 13+7 = 20
x = 20/2 = 10
Find the length of the third side to the nearest tenth.
Answer: 14
Step-by-step explanation: To get the hypotenus of a triangle all you have to do is:
7 x 7 = 14
1 x 1 = 1
14 x 1 = 14
14 x 14 = 196
square root of 196 is 14
Equation form:
a² + b² = c²
7² + 1² = 14²
Sqrt(196) = 14
Please help!! This is due in 5 minutes!!
Answer:
416
Step-by-step explanation:
first find the area of the one triangle
12 times 8/2=96/2=48
and there are two triangles, so 48 times 2=96
and then find the area of one of the rectangle
10 times 12=120
and two are 10 times 10
10 times 10=100
100 times 2=200
200+120=320
320+96= 416
Which system of equations has an infinite number of solutions?
A. 2x – 6y = 18
x – y = 9
B. 2x – 6y = 18
x + 3y = 9
C. 2x – 6y = 18
x – 3y = 9
Answer:
we choose C
Step-by-step explanation:
We need to understand an infinite number of solutions happens when all numbers are solutions. This situation means that there is no one solution.
So let analyse 3 options:
A.
2x – 6y = 18 (1) x – y = 9 <=> y = x -9 (2)Substitute (2) in (1) we have:
2x – 6(x - 9) = 18
<=> -4x + 54 = 18
<=> x = 9
=> y = 0
There is only 1 solution => A is wrong
B.
2x – 6y = 18 <=> x = 9 + 3y (1) x + 3y = 9 (2)Substitute (1) in (2) we have:
(9+ 3y) + 3y = 9
<=> 3y = 0
<=> y = 0
=> x = 9
There is only 1 solution => B is wrong
C.
2x – 6y = 18 (1)
x – 3y = 9 <=> x = 9+ 3y (2)
Substitute (2) in (1) we have:
2(9+3y) - 6y = 18
<=> 18 + 6y - 6y = 18
<=> 18=18
Yes, this system of equations has an infinite number of solutions
So we choose C
Final answer:
The system of equations with an infinite number of solutions is when one equation is a multiple of the other, which results in the same line and infinite solutions.
Explanation:
The system of equations that has an infinite number of solutions is:
A. 2x – 6y = 18
x – y = 9
To determine this, we notice that the second equation x - y = 9 is a multiple of the first equation 2x - 6y = 18. Since one equation is a multiple of the other, these equations represent the same line, leading to an infinite number of solutions.