The president of the Huerta Middle School science club suggested a field trip to the local aquarium. Tickets will cost $21.25 for the club adviser and $14.75 for each student who goes. Write an equation showing how the total cost, y, depends on the number of students going, x.
Answers
In linear equation , x = 36 is the total cost, y, depends on the number of students going, x.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Tickets cost for the club adviser = $21.25
cost for each student who goes = $14.75
Based on the given conditions, formulate x = $21.25 + $14.75
Calculate the sum or difference x = 36
get the result x = 36
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Related Questions
please help! solve for x!
Answers
Answer:
x = 9
-1 + 14x = 12x + 17
Answer:
x = 9
Step-by-step explanation:
-1 + 14x = 12x + 17
Rearrange terms.
14x - 1 = 12x + 17
Add 1 to both sides of the equation.
14x - 1 + 1 = 12x + 17 + 1
Simplify.
14x = 12x + 17 + 1
14x = + 12x + 18
Subtract 12x from both sides of the equation.
14x - 12x = + 12x - 12x + 18
Simplify.
2x = + 12x - 12x + 18
2x = 18
18 ÷ 2 = 9
x = 9
How to solve for A and Z?
Answers
The length of the missing sides of the two quadrilaterals are listed below:
a = 5z = 4.219How to find the missing lengths in quadrilaterals
In this problem we must determine the length of missing sides in two quadrilaterals, this can be done with the help of Pythagorean theorem and properties for special right triangles:
r = √(x² + y²)
45 - 90 - 45 right triangle
r = √2 · x = √2 · y
Where:
x, y - Legsr - HypotenuseNow we proceed to determine the missing sides for each case:
a = √[(6 - 3)² + 4²]
a = √(3² + 4²)
a = √25
a = 5
Case 2
z = √[(22 - 4√2 - 15)² + 4²]
z = √[(7 - 4√2)² + 4²]
z = 4.219
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Find the volume of the hemisphere. Round to the nearest tenth.
Could someone please help me?
Answers
Step-by-step explanation: I hope this helps.
Answer:
What is -5 divided by 7?
Answers
Answer:
-0.71428571428Step-by-step explanation:
-5/7=-0.71428571428
Which of the following graphs could be the graph of the function f(x)=.03x2(x2-25)
Answers
Answer:were are the graphs
Step-by-step explanation:
Construct the first three Fourier approximations to the square wave function f(x) = {1 - pi lessthanorequalto x < 0 -1 0 lessthanorequalto x < pi F_1(x) = -(4/pi)*(sin(x)) F_2(x) = (4/pi)*(sin(x)) F_3(x) = (4/pi)*((sin(x))-(1/3)*(sin(3x)))
Answers
The Fourier series for f(x) is f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...].
The square wave function can be defined as:
f(x) = {1 -π ≤ x < 0
-1 0 ≤ x < π
To find the Fourier series for this function, we first need to determine the coefficients a_n and b_n.
a_n = (1/π) ∫_0^π f(x) cos(nx) dx
= (1/π) ∫_0^π (-1) cos(nx) dx + (1/π) ∫_(-π)^0 cos(nx) dx
= (2/π) ∫_0^π cos(nx) dx
= (2/π) [sin(nπ) - sin(0)]
= 0
b_n = (1/π) ∫_0^π f(x) sin(nx) dx
= (1/π) ∫_0^π (-1) sin(nx) dx + (1/π) ∫_(-π)^0 sin(nx) dx
= -(2/π) ∫_0^π sin(nx) dx
= -(2/π) [cos(nπ) - cos(0)]
= (2/π) [1 - (-1)^n]
Therefore, the Fourier series for f(x) is:
f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...]
To find the first three Fourier approximations, we truncate this series at the third term.
F_1(x) = -(4/π) sin(x)
F_2(x) = (4/π) sin(x) + (4/3π) sin(3x)
F_3(x) = (4/π) sin(x) + (4/3π) sin(3x) - (4/5π) sin(5x)
These are the first three Fourier approximations of the square wave function f(x). The more terms we include in the Fourier series, the closer the approximations will be to the original function.
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Plz help me we are almost done
Answers
Answer: 1. A 2. 1/5 3. 5/12 4. Not sure
Step-by-step explanation:
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answers
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
This is confusing me please help
Answers
Answer:
It’s the last one
Step-by-step explanation:
Did this before on a test
Which integer is the smallest?
A. 34
B.-4
C.-84
D. 24
Answers
Answer:
C. -84
Step-by-step explanation:
It is the smallest because when placed on a number line, it will be the farthest left.
What is the equation for y in the inequality -3(2y+4) < 12 - 4y?
Answers
-6y-12<12-4y
First, add 12 on both sides.
-6y<24-4y
Now add 4y on both sides.
-10y<24
Divide -10.
y<-2.4
---
hope it helps
Answer:
y > -12
Explanation:..
How many 34s are in 2?
Answers
Answer:
17
Step-by-step explanation:
34/2=17
Last year, Marshall withdrew $8,000 from his RRSP under the Lifelong Learning Program to fund a one-year program at a community college. This year, he worked full-time but, he would like to pursue a university degree beginning next year. Marshall is wondering whether he can participate in the LLP again next year. What statement is true?
a) Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.
b) Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf.
c) He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
d) He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.
Answers
Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.
Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
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LOOK AT THE PICTURE
Determine whether the graph represents a proportional relationship.
Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin
Answers
Answer:
No, it is not a proportional relationship because the graph does not go through the origin
Step-by-step explanation:
Has to be in the origin in order to be proportional
Answer:
the anser is C
Step-by-step explanation:
i took the test
the number of cars one sees passing by the local playground in an afternoon is modeled using a poisson distribution with mean 25. the proportion of black cars in the stream is 1/5. the color of the cars is independent of the number of cars that drive by. what is the probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon?
Answers
The probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon is approximately 0.00167.
The probability that exactly 5 black cars and exactly 10 non-black cars drive by on a particular afternoon is
\($$P(X_b=5,X_{nb}=10)=\frac{e^{-\lambda}\lambda^{5}}{5!}\cdot\frac{e^{-\lambda}\lambda^{10}}{10!}\cdot\frac{1}{5^{5}}\cdot\frac{4}{5}^{10}$$\), where \($X_b$\) are the number of black cars and \($X_{nb}$\) the number of non-black cars passing by the playground in the afternoon. Since the color of the cars is independent of the number of cars that drive by, we can model the number of black and non-black cars using two separate Poisson distributions with means
\($\lambda_b = \frac{1}{5}\cdot25=5$ and $\lambda_{nb}=25-5=20$\), respectively.
Plugging in the values and simplifying, we get:
\($$P(X_b=5,X_{nb}=10)=\frac{e^{-5}5^{5}}{5!}\cdot\frac{e^{-20}20^{10}}{10!}\cdot\frac{1}{5^{5}}\cdot\frac{4^{10}}{5^{10}}\approx 0.00167$$\)
Therefore, the probability that exactly 5 black cars and exactly 10 non-black cars drive by in a particular afternoon is approximately 0.00167.
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Find the product of 8.12 and 2.4
Plz someone help .
Answers
Answer:
19.488
Step-by-step explanation:
8.12 x 2.4 = 19.488
please help solve, riding on the dirt path from the Jones Beach tower to Tovah is 0.34 Miles
Answers
Answer:
ik information jkvhov kdgon
In integers what is -11 -6
Answers
Answer:
-17
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have $80 to spend on
parking and admission. Parking is $5, and tickets cost $18.75 per person, including
tax. Write and solve an equation which can be used to determine x, the number of
people who can go to the amusement park.
Equation:
DOLL
Answers
Answer:
4 people can go
Step-by-step explanation:
Answer:
Equation: 18.75x+5=80
Answer : x= 4
if northwest airlines selects randomly a set of 40 flights on a given day, and then selects randomly a group of ten passengers on each of these flights to participate in an in-flight survey, the passengers are best referred to as a .
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The passengers selected for the in-flight survey in this scenario can be best referred to as a stratified random sample.
In stratified random sampling, the population is divided into smaller, non-overlapping groups, called strata, which share similar characteristics. In this case, the strata are the 40 flights selected by Northwest Airlines. From each of these strata, a random sample of passengers is chosen, which in this case, is a group of ten passengers from each flight.
This method ensures that each flight's passengers are represented in the survey, allowing for better generalizability of the results. By selecting passengers randomly within each stratum, the survey helps minimize selection bias and ensures that the sample reflects the diversity of the overall population of passengers. The stratified random sampling approach is especially useful when studying a large and diverse population, as it provides a more accurate representation of the population's characteristics compared to simple random sampling.
In summary, the passengers participating in the in-flight survey are best referred to as a stratified random sample because they are chosen from 40 randomly selected flights, with ten passengers randomly selected within each flight. This sampling approach ensures better representation of the overall population and helps minimize selection bias in the survey results.
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Please help me with this math problem!! Will give brainliest!! :)
Answers
Answer:
Step-by-step explanation:
Pls help I need this today
Answers
Answer:
In a 45° 45° 90° triangle, the two legs are congruent and the hypotenuse is √2 times the length of each leg.
Let x be the length of each leg.
Then, using the Pythagorean theorem, we have:
x^2 + x^2 = 24^2
2x^2 = 576
x^2 = 288
x = √288 = 12√2
Therefore, the length of each leg is 12√2.
Answer:
each leg is 16.97
Step-by-step explanation:
\(\frac{24}{\sqrt{2} }\) = 16.97
what is the slope and intercept of the linear plot of the given arrhenius equation using semilogy function?
Answers
The slope is -Ea/R and the intercept is equal to ln(A)
The Arrhenius equation is a mathematical equation that describes the relationship between the rate constant of a chemical reaction and temperature:
k = Ae^(-Ea/RT)
where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.
The slope and intercept of the linear plot of the Arrhenius equation using a semilogarithmic (semilog) plot can be determined by transforming the equation into a linear form. The semilog plot is created by taking the logarithm of the rate constant (k) on the y-axis and the reciprocal of the temperature (1/T) on the x-axis:
ln(k) = ln(A) - Ea / RT
The slope of the plot is equal to -Ea/R and the intercept is equal to ln(A). By fitting a straight line to the semilog plot, the values of Ea and A can be determined.
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I need help with this
Answers
Answer:
Set your calculator to degree mode.
x/sin(34°) = 21/sin(71°)
x = 21sin(34°)/sin(71°) = about 12.42
janna walks in a straight line from the origin of a trail (0,0) in a direction 25 degrees west of north. she is walking at 4 miles per hour for 2 hours. what are the coordinates of her location at that time?
Answers
After walking for 2 hours in a direction 25 degrees west of north at a speed of 4 miles per hour, the coordinates of Janna's location is approximately (3.191 miles, 7.032 miles)
To determine the coordinates of Janna's location after walking for 2 hours in a direction 25 degrees west of north at a speed of 4 miles per hour, we can use trigonometry to calculate the displacement.
Given:
Direction: 25 degrees west of north
Speed: 4 miles per hour
Time: 2 hours
First, we need to determine the distance Janna has traveled. Using the formula:
Distance = Speed × Time
Distance = 4 miles/hour × 2 hours
Distance = 8 miles
Next, we can calculate the displacement in the vertical (north) and horizontal (east) directions using trigonometry.
Vertical displacement = Distance × sin(angle)
Horizontal displacement = Distance × cos(angle)
Angle = 25 degrees west of north
Angle = 90 degrees - 25 degrees
Angle = 65 degrees
Vertical displacement = 8 miles × sin(65 degrees)
Vertical displacement ≈ 7.032 miles
Horizontal displacement = 8 miles × cos(65 degrees)
Horizontal displacement ≈ 3.191 miles
Finally, we can determine the coordinates of Janna's location by adding the displacements to the initial position (0, 0).
Coordinates = (Horizontal displacement, Vertical displacement)
Coordinates ≈ (3.191 miles, 7.032 miles)
Therefore, after walking for 2 hours in a direction 25 degrees west of north at a speed of 4 miles per hour, Janna's location is approximately (3.191 miles, 7.032 miles).
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You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box. The base of the box measures 10 inches by 10 inches and the slant height is 6 inches. How much paper do you need to wrap the box?
Answers
Answer:
2 1/4
Step-by-step explanation:
The amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches
What is the surface area of cuboid?Let the three dimensions(height, length, width) be x, y,z units respectively.
The surface area of the cuboid is given by
\(S = 2(a\times b + b\times c + c\times a)\)
A box is usually in shape of a cuboid.
For this case, its dimensions are 10 inches, 10 inches, and 6 inches.
The amount of wrapper we need is approx same as the area of its surface (assuming we're going to measure the paper needed in terms of its area).
Thus, we get:
Amount of the paper we need to wrap the considered box = surface area of that box = surface area of cuboid of dimension 10 inch by 10 inch by 6 inches = S (say), then:
\(S = 2(10\times 10+ 10\times 6 + 6\times 10)\\S = 440\)(in sq. inches)
Thus, the amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches
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**WILL GIVE BRAINLIEST** please help me
Answers
Answer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
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SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWER
Eddie and Janice are buying school supplies. Eddie buys 5 notebooks and 6 binders for a total of $25.45. Janice buys 4 notebooks and 8 binders for $30.60. What is the cost of each item?
Answers
Answer:
Notebook $1.25
Binder $3.20
Step-by-step explanation:
5n + 6b = 25.45
4n + 8b = 30.6
Multiply the first equation by -4.
Multiply the second equation by 5.
Add the equations.
-20n - 24b = -101.8
20n + 40b = 153
16b = 51.2
b = 3.2
5n + 6(3.2) = 25.45
5n + 19.2 = 25.45
5n = 6.25
n = 1.25
Answer:
Notebook $1.25
Binder $3.20
video game
The price of
was reduced
from $50 to $40. By what percentage was
the
Оо game
reduced?
CS Scanned with CamScanner
Answers
Answer:
Step-by-step explanation:
50-40= 20%
50*20%= 10
50-10=40
What is the slope of y=x+5?
Answers
Answer:
1
Step-by-step explanation:
since the formula is
y=x+5 and x is the slope
1 is the slope
Answer:
the slope is 1 and the y intercept is 5