Answer: n= 1
Step-by-step explanation:
8n+7=-4n+19
First, subtract 7 from both sides
8n = 4n +12
Then add 4n from both sides
12n = 12
Then divide by 12 from both sides
n= 1
If you can please give me a Brainliest, thank you!
Answer: n = 1
Step-by-step explanation:
First, you could start off by bringing the -4n to the left side:
8n + 7 = -4n+19 → 12n + 7 = 19
Next, you take the 7 on the left side of the equals sign and subtract it from the 19:
12n + 7 = 19 → 12n = 12
Finally, you divide the 12 on the right by the 12 on the left:
12n = 12 → n = 12/12
A number over itself will always be 1, so n = 1.
For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 110 and a standard deviation of 5. Using the empirical rule, determine the
interval of systolic blood pressures that represent the middle 99.7% of males.
For a particular quadratic function, the leading coefficient is negative and the function has a turning point whose coordinates are (-3,14). Which of the following must be the range of this?
Answer:
y≤-3
Step-by-step explanation:
the parabola is negative and the maximum is -3.
A new gaming chair costs $455.95. You have already saved $136.45 and earn $35.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
35.5 + 136.45w = 455.95; w = 9
35.5w + 136.45 = 455.95; w = 9
35.5w − 136.45 = 455.95; w = 17
35.5w − 455.95 = 136.45; w = 17
The equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair is A. 35.5w + 136.45 = 455.95; w = 9
How to calculate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, a new gaming chair costs $455.95. You have already saved $136.45 and earn $35.50 each week babysitting.
Let the number of weeks be w.
This will be represented as:
136.45 + 35.50w = 455.95
Collect the like terms
35.50w = 455.95 - 136.45
35.50w = 319.50
Divide
w = 319.50 / 35.50
w = 9
The number of weeks is 9.
Learn more about equations on
brainly.com/question/2972832
#SPJ1
The answer is A!
Step-by-step explanation:
It's right can I get brainliest?
help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!
Just solve it? (Doing the same thing you did on my question.)
The original scale factor for a scale drawing of a house plan is 180, and the length of the original scale drawing is 12 inches. What is the length of a new scale drawing if the scale factor of the new scale drawing to actual length of the house is 1180?.
Answer:mutplion
Step-by-step explanation:
You are standing on a ledge and throw a ball from 10 feet above the ground. The speed the ball leaves your hand is 16 feet per second and the acceleration of gravity is -16 feet per second squared.
1. How many seconds does it take to reach the highest point (vertex)?
The ball reached its maximum height at a time of 1 second.
How many time is needed for the ball to reach its maximum height?
In this problem we have the case of a ball that experiments a free fall, that is, a case of an uniform accelerated motion due to gravity. The position of the ball as a function of time is represented by a quadratic equation:
y' = y + v · t + 0.5 · g · t²
Where:
y - Initial position, in feet.v - Initial velocity, in feet per second.t - Time, in seconds.g - Gravitational acceleration, in feet per square second.And to determine the time related to the highest point, we need to rearrange the expression into its standard form:
y' - k = C · (t - h)²
Where:
(h, k) - Coordinates of the vertex.C - Vertex constantFirst, write the quadratic equation:
y' = y + v · t + 0.5 · g · t²
y' = 10 + 16 · t - 8 · t²
Second, complete the square until the standard form is found:
y' - 10 = 16 · t - 8 · t²
y' - 10 = - 8 · (t² - 2 · t)
y' - 18 = - 8 · (t² - 2 · t + 1)
y' - 18 = - 8 · (t - 1)²
The ball takes a time of 1 second to reach its maximum height.
To learn more on quadratic equations: https://brainly.com/question/17177510
#SPJ1
You plant a small tree that begins growing at a constant rate. You measure the tree after 3 weeks and find its height is 33 cm. After 7 weeks, you measure the height of the tree again and it’s height is 38.2cm
a) the constant of variation for this situation
b) how tall is the tree when you planted it (“initial value”)?
c) an equation showing the relationship
d) after how many weeks will the plant be 45 cm tall?
and last question
e) how much time has gone by when the plant is 51.3 cm tall?
Please someone help me with this!!
a. The constant of variation is 1.3.
b. Initially the tree is 29.1 cm.
c. The equation showing this relationship is y = 1.3x + 29.1.
d. After 12.2 weeks many weeks will the plant be 45 cm tall.
e. 16.85 weeks of time has gone by when the plant is 51.3 cm tall.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at
x = 0.
a. The constant of variation is (y₂ - y₁)/(x₂ - x₁) = (38.2 - 33)/(7 - 3).
= 1.3.
∴ 38.2 = (1.3)7 + b.
38.2 = 9.1 + b.
b = 29.1.
y = mx + 29.1.
b. Now initial constant of variation m = 0.
So, y = 29.1 (cm).
c. The equation showing this relationship is y = 1.3x + 29.1.
d. 45 = 1.3x + 29.1.
1.3x = 15.9.
x = 15.9/1.3.
x = 12.2 weeks.
e. 51 = 1.3x + 29.1.
1.3x = 21.9
x = 16.85 weeks of time have gone.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ2
3. Suppoe that the demand equation for a monopolit i p-100-0. 02x and the cot function i Co)-20x10000 (a)Find the value of x that maximize the profit, and determine the correponding price and total profit for thi level of production (6)Suppoe that the government ha impoed an excie tax of $5 per unit. Find the value of that maximize the profit, und determine the correponding price and total profit for thi level of production
The value of that maximize the profit, und determine the corresponding price and total profit for the level of production is $52,500
Given,
Suppose that the demand equation for a monopolist is p=100−.02x and the cost function is C(x)=20x+10,000. Find the value of x that maximizes the profit and determine the corresponding price and total profit for this level of production.
Here we need to find the value of that maximize the profit.
As per the Monopolist maximizes profit by setting marginal costs (MC) equal to marginal revenue (MR).
Here the Marginal revenue is the first partial derivative of Total revenue (TR) function.
And the total revenue is the quantity (X) times price (P):
TR = P⋅X
=> (100−0.01X) X
=> 100X−0.02X
Then we get get marginal cost, take the partial derivative of the cost function with respect to x:
=> MC=∂c(X)/∂X:50
=> MR=MC/100−0.02X=50/100−50
=> 0.02X
=> 2500units
Then the price of X, plug in the value of x in the inverse demand function and solve for price:
=> P=100−0.01(2500)=$75
And the profit is the difference between Total revenue and Total costs:
=> ∏=TR−TC/TR = P⋅X
=> $75 × 2500 = $187,500
Finally, the total costs, plug in the value of x in the total cost function:
=> TC = 50(2500)+10,000
=> $135,000
=> ∏ = $187,500−$135,000
=> $52,500
To know more about Derivative here.
https://brainly.com/question/25324584
#SPJ4
please anyone help I need help right or wrong I need to pass my classes
Answer:
B second one
Step-by-step explanation:
2000-750/5=250
(2x^2+x+1)-(x^2-x+7)-(4x^2+2x+8)
Hello,
I hope you and your family are doing well!
To simplify the expression, you can combine like terms and simplify:
[tex](2x^2+x+1)-(x^2-x+7)-(4x^2+2x+8)[/tex]
[tex]= 2x^2+x+1 - x^2+x-7 - 4x^2-2x-8[/tex]
[tex]= (2x^2 - x^2 - 4x^2) + (x - x - 2x) + (1 - 7 - 8)[/tex]
[tex]= -3x^2 - 3x - 14[/tex]
Therefore, the simplified expression is [tex]-3x^2 - 3x - 14[/tex]
Please consider giving this 5 stars and brainliest if you find it helpful.
Happy Holidays!
Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must
pay $129. Two adults and three children must pay $92. Find the price of the adult's ticket and the price of a child's
ticket. Find the price of the child and adult ticket
Answer:
Adult:19
Child:18
Step-by-step explanation:
Adults: x
Children:y
Equation 1: 3x+4y=129
Equation: 2x+3y=92
Let's now graph our equations on the desmos graphing calculator!!!
Look for the points that meet each other on the graph which is (19,18)
So $19 for an adult and $18 for children
Jadas sister earns 15 dollars per hour. The store offers her a raise a 9% increase per hour. After the raise , how much will Jadas sister make per hour?
Answer:
$16.35 is jadas sister new hourly pay
Step-by-step explanation:
hope this helps
(a) A cyclit rode hi bike for 169 min at an average velocity of 3. 53 m/ on a bearing of 450. Find hi total diplacement in km a a vector in the form i and j (3 mark)
The total displacement in km and vector form in the form of i and j is 35.8 a[x] km + 0 a[y] km.
According to the question,
We have the following information:
A cyclist rode his bike for 169 min at an average velocity of 3. 53 m/s on a bearing of 450.
Now, we know that the following formula is used to find the velocity:
Velocity = displacement/time
(We will convert time from minutes into seconds.)
Displacement = 3.53*(169*60)
Displacement = 35794.2 m
Now, the displacement in km will be 35.8 km approximately.
Now, let's take that the bike is moving along the positive x-axis. So, it would be written in the following expression:
Displacement = 35.8 a[x] km + 0 a[y] km
Hence, the total displacement in km and vector form in the form of i and j is 35.8 a[x] km + 0 a[y] km.
To know more about displacement here
https://brainly.com/question/19979064
#SPJ4
Write the equation of the line that is perpendicular to the line (y= 2/3x + 4) in the graph and gird through the point (-1,5)
Answer:y= -2/3+3 is the answer since you are just flipping the same line and move down by 1
Step-by-step explanation:
you spin two wheels with equal size wedges labeled with numbers 1 through 6. what is the probability that either wheel lands on an odd value ?
The probability that either of spin two wheel lands on an odd value is 1.
Define the term probability?Probability is a way to gauge how likely something is to happen. Even though no event can be predicted with absolute certainty, probability can be used to express how likely it is that it will happen.For the stated question-
Total number marked on the wheel (1 to 6) = 6 numbers.
Total odd number (1, 3, 5) = 3 numbers
Probability of of getting odd number on one wheel = 3/6 = 1/2.
Let the probability of of getting odd number on one wheel P(A).
Then, Probability of of getting odd number on second wheel P(B).
Then,
Only only wheel have the odd number,
P(A∩B) = 0.
Thus,
Probability that either wheel lands on an odd value;
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = 1/2 + 1/2 - 0
P(A∪B) = 1
Thus, probability that either wheel lands on an odd value is 1.
To know more about the probability, here
https://brainly.com/question/13604758
#SPJ4
please help me on this ASAP!
Answer:
Ellie 69%
Kevin 78%
Therefore Kevin has the redder paint
Rose, bill, jean, and candice each received different seat numbers to watch the performance. The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. Bill received the seat number that is the greatest multiple of 8 from the group of seats. Rose received the only seat number that is a prime number. Which seat number did jean receive?.
It should be noticed that the seat assigned to Jean as per the given data is 108 .
Jean seat = 108.
The seat numbers were either 53, 64, 108, or 216 based on the information.
The single seat with a factor of 16 went to Candice. The seat is 64 .
In the group of seats, Bill was given the seat with the highest multiple of 8. It's number 216.
Rose was given the sole prime number-containing seat number. It is 53.
Therefore, 108 is the sum that is left.
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.
To learn more about numbers
brainly.com/question/24644930
#SPJ4
Visit Brainly.com for more information: https://brainly.com/question/28663387#readmore
There are 300 teenagers in a park. 32% of them are boys, how
many more girls than boys are there in the park?
Answer: 108
Step-by-step explanation:
We find the number of boys by taking 300 timed 0.32 = 96 boys
Then we subtract 300 from 96 = 204 girls
Then we removed 204 by 96 = 108
So there are 106 girls more than boys
If you can, please give me a Brainliest, I only need 1 more to become an Ace, thank you!
Answer: 108
Step-by-step explanation: There are 300 teenagers in all. To find how many boys they are, multiply 32/100 times 300/1. You get 96, so there are 96 boys. This means that there are 204 girls. There are 108 more girls than boys. Hope this helps!
A triangle has vertices at (1, 4), (7, 4), and (7,-2). Select all the points which will lie on the median through the point (7,4).
All the points that will lie on the median through the point (7,4) are given as follows:
(4,1).(5,2).(2,-1).How to obtain the median of the triangle?The median that passes through the point (7,4) is a linear function that also passes through the midpoint of the vertices (1,4) and (7,-2).
The midpoint of two points is given by the mean of it's coordinates, hence the midpoint of the vertices (1,4) and (7,-2) is calculated as follows:
x = (1 + 7)/2 = 4.y = (4 - 2)/2 = 1.Then the two points on the line are given as follows:
(4,1) and (7,4).
Given two points, the slope is calculated as the division of the change in y by the change in x, hence:
m = (4 - 1)/(7 - 4)
m = 1.
Hence:
y = x + b
When x = 4, y = 1, hence the intercept b is obtained as follows:
1 = 4 + b
b = -3.
Then the function is given as follows:
y = x - 3.
And the points that lie on the median are all the points for which the x-coordinate is 3 less than the y-coordinate.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
More can be learned about median of triangles at https://brainly.com/question/7644338
#SPJ1
The coordinates of the vertices of a polygon are (-2, -1), (-2, 3), (2, 3), (2, 0), and (1,-4).
What is the perimeter of the polygon to the nearest tenth of a unit?
Check the picture below.
so hmmm let's only find the lines in red and add them up all
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-4}) ~\hfill d1=\sqrt{(~~ 1- (-2)~~)^2 + (~~ -4- (-1)~~)^2} \\\\\\ ~\hfill d1=\sqrt{( 3)^2 + ( -3)^2} \implies d1=\sqrt{ 18 }[/tex]
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) ~\hfill d2=\sqrt{(~~ 2- 1~~)^2 + (~~ 0- (-4)~~)^2} \\\\\\ ~\hfill d2=\sqrt{( 1)^2 + ( 4)^2} \implies d2=\sqrt{ 17 } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{4~~ + ~~4~~ + ~~3~~ + ~~\sqrt{18}~~ + ~~\sqrt{17}} ~~ \approx ~~ \text{\LARGE 19.4}[/tex]
A taxi ride costs $3 plus $2.50 per mile, m. Write and graph an equation that represents the total cost, c, (in dollars) of a taxi ride.
Answer:
$5.50
Step-by-step explanation:
Add 3.00 plus 2.50.Which is 5.50.
i need assistance with this
Answer:
Step-by-step explanation:
Oh I don't really know but I will find it out for you right now
What is the axis symmetry
The axis of symmetry of equation y = 3x² - 18x + 5 is x = 3.
What is axis symmetry?The object's shape becomes symmetrical when a straight line acts as the axis of symmetry. Each side of the axis of symmetry produces a perfect reflection of the other. It can be lateral, vertical, or any combination of the three.
Given equation:
y = 3x² - 18x + 5
The line symmetry of y = [tex]ax^2+bx+c = 0[/tex] is x = -b / 2a,
Hence, x = -(-18) / 2 × 3
Therefore, x = 3 is the axis of symmetry of equation y = 3x² - 18x + 5.
To know more about axis symmetry:
https://brainly.com/question/22495480
#SPJ1
Work out the area of this semicircle. Take pi to be 3.142 and give your answer to 2 decimal places.
The area of the semicircle is 39.275 square cm
How to determine the area of the semicircle?From the question, we have the following parameters that can be used in our computation:
Diameter = 10 cm
Start by calculating the radius of the semicircle
So, we have the following representation
radius = Diameter/2
This gives
radius = 10/2
Evaluate
radius = 5
The area of the semicircle is then calculated as
Area = πr²/2
So, we have
Area = 3.142 * 5²/2
Evaluate
Area = 39.275
Hence, the area is 39.275 square cm
Read more about area at
https://brainly.com/question/25292087
#SPJ1
Select the correct answer from each drop-down menu.
Julia and Kellen are participating in a read-a-thon to raise money for charity. The money each of them raises will be a mix of fixed and per-page
donations.
Function / models the total amount, in dollars, that Julia will raise if she reads x pages:
j(x) = 1.65x + 17.31.
Function k models the total amount, in dollars, that Kellen will raise if he reads x pages:
k(x) = 0.90x + 9.28.
The function
If they both read 500 pages, the difference will be $
entum. All rights reserved.
represents the difference between the amounts Julia and Kellen will raise when they both read x pages.
Reset
1
Next
The difference between the amounts Julia and Kellen will raise when they both read x pages is represented by the function j(x) - k(x) = 0.75x + 8.03. And if they both read 500 pages, the difference will be 383.03.
What is subtraction?Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.
Given, Julia and Kellen are participating in a read-a-thon to raise money for charity.
The money each of them raises will be a mix of fixed and per-page donations.
Function / models the total amount, in dollars, that Julia will raise if she reads x pages:
j(x) = 1.65x + 17.31.
Function k models the total amount,
in dollars, that Kellen will raise if he reads x pages:
k(x) = 0.90x + 9.28.
To find the difference between the amounts Julia and Kellen will raise when they both read x pages:
j(x) - k(x) = 1.65x + 17.31 - (0.90x + 9.28).
j(x) - k(x) = 1.65x + 17.31 - 0.90x - 9.28.
j(x) - k(x) = 0.75x + 8.03.
If they both read 500 pages, the difference will be;
j(500) - k(500) = 0.75(500) + 8.03 = 375 + 8.03 = 383.03
Therefore, if they both read 500 pages, the difference will be 383.03.
To learn more about the subtraction;
https://brainly.com/question/2346316
#SPJ1
The complete question is:
Select the correct answer from each drop-down menu.
Julia and Kellen are participating in a read-a-thon to raise money for charity. The money each of them raises will be a mix of fixed and per-page
donations.
Function / models the total amount, in dollars, that Julia will raise if she reads x pages:
j(x) = 1.65x + 17.31.
Function k models the total amount, in dollars, that Kellen will raise if he reads x pages:
k(x) = 0.90x+9.28.
The function
If they both re
h(x)=0.75x+26.59
h(x) = 0.75x+8.03
h(x) = 2.55x+8.03
h(x) = 2.55x+26.59
represents the difference between the amounts Julia and Kellen will raise when they both read x pages.
ence will be $
Reset
Next
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: It's in the picture.
Step-by-step explanation:
When you flip a biaed coin the probability of getting a tail i 0. 52. Find the probability of getting a head
The probability of getting a head given that probability of getting a tail is 0. 52 is 0.48.
Probability of getting at least one head is equal to the probability of all events (100 percent, or 1) less the likelihood of receiving all tails .
Therefore the probability of getting a head is ( 1 - 0.52)
= 0.48
A random event's occurrence is the subject of this area of mathematics. The range of the probability is 0 to 1.
The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
To learn more about probability
https://brainly.com/question/11234923?r
#SPJ4
The price of a video game console was
marked down $25, but then marked up by
12. If the original price was $225, what
is the new price?
Answer:
$227
Step-by-step explanation: if the console gets marked downed $25 it will be $200 then the 12% increase which it $27 so that will be $227
waiting times to receive food after placing an order at the local subway sandwich shop follow an exponential distribution with a mean of 60 seconds. calculate the probability a customer waits: a. less than 30 seconds. (round your answer to 4 decimal places.) b. more than 120 seconds. (round your answer to 4 decimal places.) c. between 45 and 75 seconds. (round your answer to 4 decimal places.)
Waiting time follows an exponential distribution with mean
μ=60
μ=60 seconds. This implies λ=1μ=160λ= μ1= 601
Let X be the waiting time. for first we have to calculate the probability of customers who wait less than 30 secs.
a. X is less than 30 seconds, then we have to find ,
P(X<X1)=1−e−λX1⇒P(X<30)=1−e−λ×0
=1−e−160×30 =1−e−12=1−0.6065
=0.3935P(X<X 1)⇒
P(X<30)
=1−e −λX 1=
1−e −λ×30 1−e − 601×30 =
1−e − 21
=1−0.6065
=0.3935
b. X is more than 120 seconds, then we have to find less than 120 sec
b. X is more than 120 seconds
P(X>X1)=1−P(X<X1)=1−(1−e−λX1)⇒P(X>120)=1−(1−e−λ×120=e−60×120=e−2=0.135
P(X>X 1)⇒P(X>120)=1−P(X<X 1)=1−(1−e −λX 1)=1−(1−e −λ×120= − 601×120 =e −2=0.135
To learn more about probability.
https://brainly.com/question/28409225
#SPJ4
Fatima wants to fill a circular wading pool.she does not have a hose, so she uses a rectangular pail that she fills from a tap. The inside diameter of the pool is 120 cm and it is 25 cm deep. The inside dimension of the pail are 30 cm x 22 cm x 24 cm deep. How many pails of does fatima have to carry to fill the pool to depth of 18 cm?
Fatima needs to carry 13 pails to fill the pool to a depth of 18 cm.
What is are cube and cuboid?Cube and cuboid are three-dimensional shapes that consist of six faces, eight vertices and twelve edges. The primary difference between them is a cube has all its sides equal whereas the length, width and height of a cuboid are different. Both shapes look almost the same but have different properties. The area and volume of cube, cuboid and also cylinder differ from each other.
Volume of a circular pool to a depth of 18cm = Area of circular pool x depth
π[tex]r^{2}[/tex]h
where r = radius of circular pool which is 120/2 = 60cm
h = depth which is 18cm, [tex]\pi[/tex]( constant) = 3.14
Volume (V) = 3.14 x 60^2 x 18 which is 203472 cubic centimeters
volume of each rectangular pail = 30 x 22 x 24 which is 15840 cubic centimeters
If the volume of 1 rectangular pail is 15840 cubic centimeters then the number of pails to fill 203472 cubic centimeters will be
203472/15840 = 12.84 approximately 13 pails
In conclusion 13 pails is needed to fill the pool to the depth of 18cm
Learn more about Cuboid: https://brainly.com/question/16955358
#SPJ1