A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got off at New Jersey?
Answer:
6 got off at NJ
Step-by-step explanation:
if u write an equation it would be 44-x+2x=50. -x+2x=x so the equation would now be 44+x=50. If you subtract both sides by 44, it would be x=6. x was the number of people that got off at NJ so 6 people got off there.
Hope this helps!
There are y learners in class 9T. Mrs. Leclerc shares 85 pencils between the learners in class 9T. Each learner gets 5 pencils. Write an equation to represent this situation
Equation: y * 5 = 85
In this equation, 'y' represents the number of learners in class 9T, and '5' represents the number of pencils each learner receives. The equation states that the product of the number of learners (y) and the number of pencils each learner receives (5) is equal to the total number of pencils (85) that Mrs. Leclerc shares among the learners.
This equation can be used to solve for the value of 'y' by dividing both sides of the equation by 5. By doing so, we can determine the number of learners in class 9T based on the given information about the number of pencils shared.
For example, if we divide 85 by 5, the result is 17. Therefore, there are 17 learners in class 9T.
In summary, the equation y * 5 = 85 represents the situation where Mrs. Leclerc shares 85 pencils between the learners in class 9T, with each learner receiving 5 pencils. By solving the equation, we can find the number of learners in the class, which in this case is 17.
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PLEASE ANSWER ASAP
The amount of time it takes or a crew of people to finish a job varies inversely with the number of people on the crew. If it takes a crew of 3 people 8 hours to complete a job, how long will the same job take a crew of 5 people?
The job will take 5 hours time for a crew of 5 people.
Inverse variation means that as one value increases, the other decreases. In this example, as the number of people on the crew increases, the amount of time it takes to complete the job decreases. To solve this problem, we must first find the rate of change. We can do this by dividing 8 hours (the amount of time it took the crew of 3 people) by 3 people, which gives us a rate of 2.67 hours per person. Then, to find the time for the crew of 5 people, we can multiply the rate of change (2.67 hours per person) by the number of people on the crew (5). This gives us a total of 13.35 hours, which can be rounded to 5 hours time.
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Solve the system u=3x-4y, v=x+4y for x and y in terms of u and v. then find the value of the jacobian
Eliminate \(y\).
\(u + v = (3x - 4y) + (x + 4y) = 4x \implies x = \dfrac{u+v}4\)
Eliminate \(x\).
\(u - 3v = (3x - 4y) - 3 (x + 4y) = -16y \implies y = \dfrac{3v-u}{16}\)
The Jacobian for this change of coordinates is
\(J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix} \dfrac14 & \dfrac14 \\\\ -\dfrac1{16} & \dfrac3{16} \end{bmatrix}\)
with determinant
\(\det(J) = \dfrac14\cdot\dfrac3{16} - \dfrac14\cdot\left(-\dfrac1{16}\right) = \dfrac1{16}\)
HELP MATH ASAP!!!!! WILL GIVE BRAINLIEST
Answer:
The answer is
2⁴ × 3²Step-by-step explanation:
To find the GCF of
\( {2}^{4} \times {3}^{2} \: \: \: \: and \: \: {2}^{5} \times {3}^{6} \)
Find the prime numbers with the lowest exponents and multiply them
From the question the prime numbers with the lowest exponents are
2⁴ and 3²
So the GCF in the question is
2⁴ × 3²
Hope this helps you
Express the following statements in propositional logic using the propositions:
N the system is functioning normally
L the file system is locked
Q new messages are queued
B new messages are sent to the message buffer
(a) New messages are not sent to the message buffer
(b) If new messages are not queued then they are not sent to the message buffer
(c) If the system is functioning normally then the file system is not locked
(d) If the file system is not locked then
(i) new messages are queued,
(ii) new messages are sent to the message buffer
(iii) the system is functioning normally
(e) Choose values (true or false) for each of the variables L, Q, B, N to make all the four propositions in parts (a) (b) (c) and (d) true.
Other answer isn't what i was looking for, so please give correct answer.
The given propositions N, L, Q, and B are used to express statements in propositional logic, considering conditions and logical implications.
(a) The statement "New messages are not sent to the message buffer" can be represented as ¬B.
(b) The statement "If new messages are not queued then they are not sent to the message buffer" can be represented as Q → ¬B.
(c) The statement "If the system is functioning normally then the file system is not locked" can be represented as N → ¬L.
(d) The statement "If the file system is not locked, then (i) new messages are queued, (ii) new messages are sent to the message buffer, and (iii) the system is function normally" can be represented as ¬L → (Q ∧ B ∧ N).
(e) To determine values for L, Q, B, and N that make all the four propositions true, one possible assignment would be:
L = false, Q = true, B = true, N = true. This satisfies the given propositions, making all the statements in (a), (b), (c), and (d) true.
By representing the statements using propositional logic and assigning appropriate truth values to the propositions, we can analyze the logical relationships and conditions described by the given propositions.
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Nick buys a car for $15,000. He gives the car dealer $5,000 and borrows the rest of the money at 7% simple interest for 5 years. What is the total amount of interest he will have to pay on the loan?
Answer: $3,500
Step-by-step explanation: 15000-5000=10000
0.7*10,000=700.
700*5=$3,500
Trigonometry help? Please answer 4.5,6 for me if u can! Tysm
Answer:
4) d = 60; e = 90
5) f = 30
6) h = 120
Step-by-step explanation:
4)
d + d + d = 180
3d = 180
d = 60
e + e + e + e = 360
4e = 360
e = 90
5)
70 + (180 - 100) + f = 180
70 + 80 + f = 180
f = 30
6)
45 + 75 + (180 - h) = 180
300 - h = 180
-h = -120
h = 120
Working alone, it takes Castel 12 hours to pick forty bushels of apples. Mei can pick the same amount in 10 hours. If they worked together how long would it take them?
Answer:
5.5 hours
Step-by-step explanation:
dibide by 2 one is 5 and one is 6, middle. is 5.5,
Swimming Pool On a certain hot summer's day, 225 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $473.50. How many children and how many adults swam at the public pool that day? There were children at the public pool. There were adults at the public pool.
I'm not too good with wordy questions .
A Mika rode her bike around a trail in the park.
The trail is 3 miles long. Mika rode around the
trail 4 times. How many miles did she travel in all?
Answer:
12 miles
Step-by-step explanation:
Total miles = Length of trail ×
Number of times she rode
Total miles = 3 miles × 4 times
Total miles = 12 miles
Mika traveled a total of 12 miles.
3 = blank X blank X blank = 27
fill in the blanks
Answer:
blank=9
Step-by-step explanation:
In the Florida Lottery Cash4Life game a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. He will win the jackpot of $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. He will win $1000 a week for life if just all 5 numbers match the winning numbers. Assuming that the numbers are equally likely to be
drawn, determine:
(a) (5) The probability that the player will $1000 a day for life;
(b) (5) The probability that the player will $1000 a week for life;
The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).
In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)
(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).
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In a scale drawing, a wall is 1 1 2 inches long. The actual wall is 12 feet long. Find the scale of the drawing.
Answer:
It is 6.59
Step-by-step explanation:
I'm not really sure but hope it helps<33
Okay this is very hard for me!! What is 546in in FEET.
Recall that in one foot, there are 12 inches. Let's use this conversion to convert 546 inches in feet.
Divide 546 inches by 12 inches.
\(546in\div\frac{12in}{ft}=45.5ft.\)Hence, 546 inches is equivalent to 45.5 feet.
How many meters are in 275 inches
Answer:
6.985
Step-by-step explanation:
The following box plot shows the class scores on a particular math test:
10
20
30
70
80
90
100
40 50 60
Percent
Which of the following data sets is represented in the box plot?
{40, 50, 50, 77, 77, 100)
{0.50, 60, 75, 85, 100)
{50, 60, 60, 75, 75, 85, 85, 100)
[60, 65, 70, 75, 85, 85, 85)
Answer:
maybe the third one and i would also like to see the box plot
Step-by-step explanation:
Can you please help me with this?/
Answer:
1.3 meters
Step-by-step explanation:
The question is: What is the position of Michael's hands relative to the surface of the water?
It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.
His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.
To solve: subtract
1.8-0.5
1.3
I hope this helps!
the radius of a sphere is increasing at a rate of 2 mm/s. how fast is the volume increasing when the diameter is 60 mm? evaluate your answer numerically.
When diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.
Define the term rate of volume change?The indication that demonstrates not whether a volume trend is occurring in an up or down direction is the volume rate of change.Step 1: Create an equation that connects a sphere's volume to radius as the first step.
V = 4/3*π*r³
Step 2: Calculate each side's derivative in respect to time (Let the time be "t").
(d/dt)V = (d/dt)(4/3*π*r³)
dV/dt = 4πr²*dr/dt
Step 3: The problem description informs us that the diameter is 600 m, hence r must be 30 mm.
Additionally, it is stated that now the radius of a sphere is expanding at a rate of 2 mm/s; as a result, dr/dt must equal 2 mm/s.
We are interested in dV/dt, or the rate of change of the sphere's volume.
dV/dt = 4π(30mm)²*(2mm/s)
dV/dt = 22,620 mm³/s
So, when diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.
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x = 16 - 4y
3x + 4y =8
substitution method
Answer:
i think x = -4, y = 5
Step-by-step explanation:
x = 16 - 4y
3x + 4y = 8
3(16 - 4y)+4y = 8
48-12y+4y = 8
48-8y = 8
48-8 = 8y
40 = 8y
5 = y
so
x = 16 - 4y
x = 16 - 4(5)
x = 16 - 20
x = -4
Please help. I thought I worked it out correctly but the answer is apparently wrong
Answer:
ready-steady paint
Step-by-step explanation:
if he needs 12 tins, and purchased from paint -O mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30
from ready steady, he can buy 4 for £11. he needs 12.
so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.
33 X 0.85 = £28.05.
so he his better purchasing from ready steady paint
Write 2 equivalentexpressions forthe followingexpression.12x + 16x
In order to find two equivalent expressions for the given expression, first let's add the like terms:
\(\begin{gathered} 12x+16x\\ \\ =(12+16)x\\ \\ =28x \end{gathered}\)Now, instead of adding like terms, let's factor the expression using the common factor 4x:
\(\begin{gathered} 12x+16x\\ \\ =4x(\frac{12x}{4x}+\frac{16x}{4x})\\ \\ =4x(3+4) \end{gathered}\)So two equivalent expressions are 28x and 4x(3+4)
Fill in the blank 8(? +3) =48+24
Answer:
6
Step-by-step explanation:
treat the ? as an x. you need to get it by itself. but first you should distribute the 8.
8x + 24 = 48 +24
8x+24 = 72
take the 24 and subtract it from 72
8x= 48
now divide both sides by 8
x= 6
Answer:
6
Step-by-step explanation:
8(6 + 3) =48+24
8(9) = 48+24
72 = 48 + 24
72 = 72
Steve provides lawn care services in his neighborhood.
For each lawn he charges a flat fee of $6 for clean-up and $10 per hour.
Which equation represents the relationship between the total charge, c, and the number of hours he works, h?
Answer:
7f8td5
Step-by-step explanation:
vygycft7d5rdrxerdrcfgvtvct7v
Select all the scalars
A. Distance
b.displacement
C.speed
D.velocity
Please help ASAP please answer please !!⬆️
Answer:
A, B, C
Step-by-step explanation:
Velocity is the only option that has both distanace and direction.
Kavya is surveying how seventh-grade students get to school. In her first-
period class, 12 out of 28 students ride the bus to school. There are 140
students in seventh grade. Based on her survey, how many seventh-grade
students can she predict ride the bus to school?
A. 124
B. 48
C. 60
D. 327
She can estimate that 50 seventh-graders will be boarding the bus to go to school.
The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit.
By using the unitary technique, we can determine the value of many units from the value of a single unit as well as the value of multiple units from the value of a single unit. We typically utilise this technique for math calculations.
10 out of the 32 children in the first-period class that we are given ride the bus to school. There are 160 students in seventh grade.
Therefore, we have;
160/32=5
10 x 5 =50
Thus, the answer is 50
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Please Explain:
For each pair of the following functions, fill in the correct asymptotic notation among Θ, o, and ω in statement f(n) ∈ ⊔(g(n)). Provide a brief justification of your answers
f(n) = n^3 (8 + 2 cos 2n) versus g(n) = n^2 + 2n^3 + 3n
The asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\) is f(n) ∈ Θ(g(n)). Therefore, the growth rates of f(n) and g(n) are primarily determined by the cubic terms, and they grow at the same rate within a constant factor.
To determine the asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\), we need to compare their growth rates as n approaches infinity.
Θ (Theta) Notation: f(n) ∈ Θ(g(n)) means that f(n) grows at the same rate as g(n) within a constant factor. In other words, there exists positive constants c1 and c2 such that c1 * g(n) ≤ f(n) ≤ c2 * g(n) for sufficiently large n.
o (Little-o) Notation: f(n) ∈ o(g(n)) means that f(n) grows strictly slower than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) < c * g(n) for all n > n0.
ω (Omega) Notation: f(n) ∈ ω(g(n)) means that f(n) grows strictly faster than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) > c * g(n) for all n > n0.
Now let's analyze the given functions:
\(f(n) = n^3 (8 + 2 cos 2n)\\g(n) = n^2 + 2n^3 + 3n\)
Since both functions have the same dominant term, we can say that f(n) ∈ Θ(g(n)) because they grow at the same rate within a constant factor. The other notations, o and ω, are not applicable here because neither function grows strictly faster nor slower than the other.
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Give me the answers to thissss plssss rnnnn asapppp!!!!
\(\\ 1. (3x ^{2} + 2xy + 7) - (6x ^{2} - 4xy + 3) \\ = 3x ^{2} + 2xy + 7 - 6x ^{2} + 4xy - 3 \\ = 3x ^{2} - {6x}^{2} + 2xy + 4xy + 7 - 3 \\ = { - 3x}^{2} + 6xy + 4 \\ 2. \: {9x}^{2} - 2x + 3 - ( {4x}^{2} + 7x - 5) \\ = 9x ^{2} - 2x + 3 - 4x ^{2} - 7x + 5 \\ = {9x}^{2} - {4x}^{2} - 2x - 7x + 3 + 5 \\ = {5x}^{2} - 9x + 8 \\ 3. \: {x}^{2} - 5x + 6 \\ = {x}^{2} - (3 + 2)x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)
Answer with step by step explanation
\((1)(3 {x}^{2} + 2xy + 7) - (6 {x}^{2} - 4xy + 3) \\ 3 {x}^{2} + 2xy + 7 - 6 {x}^{2} + 4xy - 3 \\ = - 3 {x}^{2} + 6xy + 4\)
\((2)9 {x}^{2} - 2x + 3 - (4 {x}^{2} + 7x - 5) \\ 9 {x}^{2} - 2x + 3 - 4 {x}^{2} - 7x + 5 \\ = 5 {x}^{2} - 9x + 8\)
\((3) {x}^{2} - 5x + 6 \\ {x}^{2} - 3x - 2x + 6 \\ x(x - 3) - 2(x - 3) \\ (x - 2)(x - 3)\)
hope this helps
brainliest appreciated
good luck! have a nice day!
Please Help!!! I'll mark the first person to get it right brainliest!
Answer:
x=8
Step-by-step explanation:
First we know that 14x +1 and 11x-21 are supplementary angles because they add to 180 degrees. That is the given. Now we need to make an equation.
(14x+1) + (11x-21) = 180
Simplify the equation
25x -20 =180
Addition property of equality
25x =200
Division property of equality
x =8
Seven less than 4 times the square of a number is 18. Find the two numbers.
The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Let the unknown number be "x"
The square of an unknown number is expressed as x²4 times the square of a number is 4x²Seven less than 4 times the square of a number is 4x² - 7If the resulting expression is 18, this will be expressed as 4x² - 7 = 18
Solving the resulting expression
\(4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}\)
Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
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