15
5 t = 30$
1t = 30/5
= 6$ per ticket
then, 90$/6 = 15 tickets
#9: A college student's bank account is losing the same amount of
money each week since the beginning of the semester according to
the table shown below. Determine the equation of the function that
inputs the number of weeks since the beginning of the semester and
outputs the money in his bank account.
On Number 10, fill in the missing values on the table.
(Use the variables "m" and "w")
The equation of the function that inputs the number of weeks since the beginning of the semester and outputs the money in his bank account is
Money = 5340 - 356X(weeks)
The table will be as follows:
Weeks Money
0 5340
3 4272
7 2848
11 1424
15 0
Define an account.
An account in banking is an arrangement whereby a company, typically a financial institution like a bank or credit union, accepts a customer's financial assets and holds them on the customer's behalf at the discretion of the customer.
A financial account, specifically one that covers financial asset claims or liabilities to nonresidents, is a part of a country's balance of payments in macroeconomics. Direct investment, portfolio investment, and reserve assets are broken down by sector and are all parts of the financial account.
To learn more about an account, use the link given
https://brainly.com/question/26690519
#SPJ1
bert can weed the garden in 3 hours. if bert and ernie work together, they can finish the job in 2 hours. how long would it take ernie to do the job by himself? letting x equal the number of hours it takes ernie to do the job by himself, write and solve an equation.
Answer:
It will take Ernie 6 hours to do the job by himself
Step-by-step explanation:
Rate x time = job
Burt's rate x time + Ernie's rate x time = 1 job getting completed.
[tex]\frac{1}{3}[/tex](2) + x(2) = 1 To clear the fraction multiply everything by 3
2 + 6x = 3 Subtract 2 from both sides
6x = 1 Divide both sides by 6
x = [tex]\frac{1}6}[/tex] This is Ernie's rate
The rate is the number of jobs 1 over the number of hours 6, so it will take Ernie 6 hours to do this job by himself
Breakdown of clearing the fraction:
([tex]\frac{1}{3}[/tex])(2) + x2 = 1 Multiply everything by 3 to clear the fraction.
([tex]\frac{3}{1}[/tex])([tex]\frac{1}{3}[/tex](([tex]\frac{2}{1}[/tex]) + (3)(x2) = (3) (1)
[tex]\frac{6}{3}[/tex] + 6x = 6
2 + 6x = 6
A bowl has 15 apples, and 10 of the apples are red. To the nearest whole percent, what percent of the apples are red?.
Answer:
66%
Hope this helps! :)
Two numbers have a sum of 139 and a difference of 31. What are the two numbers?
Answer:
Thus, one of the numbers is 85
Step-by-step explanation:
Answer:
Step-by-step explanation:
(1,-5) and (-2,-17) in intercept form
Answer:
y = 4x - 9
Step-by-step explanation:
y = mx + b
m = (y_2 - y_1)/(x_2 - x_1) = (-17 - (-5))/(-2 - 1) = -12/(-3) = 4
y = 4x + b
-5 = 4(1) + b
-9 = b
y = 4x - 9
Find the equation of the straight line passing through each of the following pairs of points.
(16 , 13) and (4, -5)
Answer:
y = [tex]\frac{3}{2}[/tex] x - 11
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (16, 13 ) and (x₂, y₂ ) = (4, - 5 )
m = [tex]\frac{-5-13}{4-16}[/tex] = [tex]\frac{-18}{-12}[/tex] = [tex]\frac{3}{2}[/tex] , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (12, 13 ) , then
13 = 24 + c ⇒ c = 13 - 24 = - 11
y = [tex]\frac{3}{2}[/tex] x - 11 ← equation of line
the sum of 6 times a number and 7
Answer:
The sum of 6 times a number and 7 turned into an equation would be:
6n + 7
Step-by-step explanation:
I found this out because the term "sum" means addition, and if you are multiplying 6 by a number, you are supposed to simplify the "number" into n. So, that's what I did:
6n + 7
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
A bank is offering 3. 5% simple interest on a savings account. If you deposit $7,500, how much interest will you earn in two years?.
Answer:
534.1875
Step-by-step explanation:
7500 ⋅ (1+3.5%)²-7500
534.1875
find the volume of a frustum of a right circular cone with height 25, lower base radius 13 and top radius 5.
Volume of the frustum of right circular cone = 271.22 [tex]units^{3}[/tex]
Volume of frustum of right circular cone:
Formula for the Volume of Frustum of Cone (V)= 1/3 πH ([tex]R^{2}[/tex]+Rr+[tex]r^{2}[/tex] )
where,
H = Height of frustum
R = Radius of lower base
r = Radius of top base
According to given question,
Height of frustum(H) = 25 units
Radius of lower base(R) = 13 units
Radius of top base (r) = 5 units
Substituting all the given values in the formula of volume of frustum of cone we will get,
Volume of frustum of right circular cone(V) = 1/3 πH ([tex]R^{2}[/tex] + Rr + [tex]r^{2}[/tex] )
= 1/3 π ( 13x13 + 13x5 + 5x5)
= 1/3 π ( 169 + 65 +25)
= 1/3 π (259)
= 86.33 π
= 271.22 [tex]units^{3}[/tex]
Volume of the frustum of right circular cone = 271.22 [tex]units^{3}[/tex]
To learn more about Frustum of Cone visit: https://brainly.com/question/15437523
#SPJ4
A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is.
A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is
Given n(sample size) = 84
Population mean(μ) = 180
Standard Deviation(σ) = 36
Standard error of the mean = σx-bar = σ/√n = 36/√84 = 36/9.165 = 3.927
Standardizing the sample mean we have
Z = (x-bar - μ)/σx-bar = (x-bar - μ)/σ/√n
x-bar = 180
Z(x-bar=185 at point C) = (185 - 180)/3.927 = 5/3.927 = 1.273
Z(x-bar=181 at point D) = (181 - 180)/3.927 = 1/3.927 = 0.254
The area ABCD is the probability that the sample mean will lie between 181 and 185.
The shaded Area ABCD = (Area corresponding to Z = 2 or x-bar = 185) - (Area corresponding to Z = 1 or x-bar = 181)
Area corresponding to Z = 1.273 = 0.898
Area corresponding to Z = 0.254 = 0.598
The shaded Area ABCD = 0.898-0.598 = 0.300
Therefore the probability that the sample mean will lie between 181 and 185 is 0.300.
To learn more about Probability, click here https://brainly.com/question/25870256
#SPJ4
10.4.3: lining up club members for a photo. help outline ten members of a club are lining up in a row for a photograph. the club has one president, one vp, one secretary, and one treasurer. (a) how many ways are there to line up the ten people? (b) how many ways are there to line up the ten people if the vp must be beside the president in the photo? (c) how many ways are there to line up the ten people if the president must be next to the secretary and the vp must be next to the treasurer?
A) number of ways in which president is not next to the VP =3628800-725760 =2903040
B) Number of ways =9*9!=3265920
C) number of ways VP is in one end =2*9!=725760
What is permutation and combination ?Permutations and combinations are ways of representing groups of objects by selecting them and sub-setting them into sets. It defines different ways of arranging a particular data group. When we choose data or objects from a particular group, it is called a permutation and the order in which they are presented is called a combination. Both concepts are very important in mathematics.
Calculationa)
number of ways to line up 10 members =10! =3628800
number of ways so that VP and president are next to each other =N(consider president and VP as 1 member which can interchange in 2 ways , and now we need to arrange 9 members) =2*9!=725760
therefore number of ways in whcih president is not next to the VP =3628800-725760 =2903040
b)
Number of ways =N(9 choices for left most posiition except VP and arrange rest of 9 persons)
=9*9!=3265920
c)
number of ways VP is in one end =N(choose 1 place out of 2 end for VP and then arrange rest of 9 )
=2*9!=725760
therefore number of ways VP is not at one end =3628800-725760 =2903040
learn more about permutations and combinations here :
brainly.com/question/28720645
#SPJ4
The length of a rectangle is 7 cm more than the width. If the perimeter is 58 cm, find the length and width.
Answer:
length = 32.5, Width = 25.5
Step-by-step explanation:
Let x rep the width. Let x plus 7 rep the length.
x + x + 7 = 58
2x=58-7
2x=51
2x/2 = 51/2
x= 25.5
x plus 7 =
= 25.5 + 7
=32.5
✨️Hope that helps✨️
Solve each equation by taking square roots
3b² +5=-25
Answer:
b = -3.16
Step-by-step explanation:
3b² + 5 = -25
3b² = -30
b² = -10
b = -3.1623 (5 significant figures)
= -3. 16
What is the value of x ?
What is a 3rd of 12/12
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Step 1: Simplify
[tex]\frac{12}{12} =1[/tex]
Step 2: Multiply by [tex]\frac{1}{3}[/tex]
[tex]1*\frac{1}{3}=\frac{1}{3}[/tex]
Hope this helps! :)
Minstrel manufacturing uses a job order costing system. During one month, minstrel purchased $198,000 of raw materials on credit; issued materials to production of $195,000 of which $30,000 were indirect. Minstrel incurred a factory payroll of $150,000, of which $40,000 was indirect labor. Minstrel uses a predetermined overhead application rate of 150% of direct labor cost. If minstrel incurred total overhead costs of $167,800 during the month, compute the amount of under- or overapplied overhead:.
If Minstrel Manufacturing incurred total overhead costs of $167,800 during the month, the underapplied overhead was $2,800.
What is underapplied overhead?Underapplied overhead arises when the applied overhead is less than the actual overhead incurred.
On the other hand, overapplied overhead suggests that the applied overhead is more than the actual overhead incurred.
Overhead application is the allocation of overhead costs to units of products or jobs using a predetermined application rate.
Predetermined overhead application rate = 150% of direct labor cost
Direct labor cost = $110,000 ($150,000 - $40,000)
Applied overhead = $165,000 ($110,000 x 150%)
Actual overhead = $167,800
Underapplied overhead = $2,800 ($165,000 - $167,800)
Thus, during the month, the company underapplied overhead by $2,800.
Learn more about overhead applications at https://brainly.com/question/26511051
#SPJ1
you have a fair die, with six faces containing the numbers 1,2,3,4,5,6. are the two events a and b, defined below, mutually exclusive? explain your answer.
you have a fair die, with six faces containing the numbers 1,2,3,4,5,6. are the two events a and b then A and B are exhaustive.
Given
A= { 1,2,4}
B= { 2,3,4,5,6}
C= { 3,4}
D= { 2,4,5}
Solving (a): The mutually exclusive events
These are events that have no common or mutual elements
Events A to D are not mutually exclusive because each of the events have at least 1 common element with one another.
Solving (b): Exhaustive events.
Two events X and Y are said to be exhaustive if:
S= P(X n Y)
i.e. if the sample space equals the intersection of X and Y
For events A to D, we have:
AnB= { 1,2,3,4,5,6}
and the sample space is:
S= {1,2,3,4,5,6}
By comparison;
A n B= S
Hence, A and B are exhaustive.
learn more about of dice here
https://brainly.com/question/24129793
#SPJ4
Ximena is going to invest in an account paying an interest rate of 2.2% compounded continuously. How much would Ximena need to invest, to the nearest ten dollars, for the value of the account to reach $5,100 in 6 years?
Ximena need to invest $2384 so that account value reach $5,100 in
6 years.
As given in the question,
We have to find Principal ' P'
Given interest rate R = 2.2%
Amount = $5100
time t = 6 years
Formula used
Amount = P + P( 1 + R%)^t
Putting values in the formula
5100 = P + P (1 + 2.2%)^6
5100 = P ( 1 + (1 + 2.2%)^6)
5100 = P (1 + (1.022)^6)
5100 = P (1 + 1.139)
5100 = P (2.139)
P = 5100/2.139
P = 2384.291 ≈ 2384
Therefore, Ximena need to invest $ 2384 to reach $5,100 in 6 years with interest rate 2.2%.
Learn more about interest rate here
brainly.com/question/1902400
#SPJ1
Answer:
P=4470
Step-by-step explanation:
i did it
Elsie bought a video game for $85.00. if the store charges 170% of its cost for the game, how much is the store's profit? SHOW YOUR WORK PLEASE AND THANK YOU!!!! <3
The store's profit on the video game is $35.
According to the question,
We have the following information:
Elsie bought a video game for $85.00. And the store charges 170% of its cost for the game.
Now, let's take the original price of the video game to be $x.
So, we have the following expression:
170% of x = 85
170x/100 = 85
Using the cross multiplication method:
170x = 85*100
x = 8500/170
x = 50
So, we have the cost of the video game.
Now, we know that the formula to find the profit is as follows:
Profit = Selling price - cost of the product
Profit = $(85-50)
Profit = $35
Hence, the store's profit on the video game is $35.
To know more about profit here
https://brainly.com/question/28886059
#SPJ1
pls help
How to express 5 x 5 x 5 using exponent?
(A) 103 (B) 53 (C) 23
The expression 5 × 5 × 5 is expressed using the exponent [tex]5^3[/tex]
The given expression is
5 × 5 × 5
The expression is the mathematical statement that consist of different variables, numbers and mathematical operator.
The power of a number that consider of base number and the exponent.
Therefore the power of a number is the a base number raised to the exponent.
The exponent of the number is defined as the number of times a number is multiplied by itself.
Here the given expression is
5 × 5 × 5 = [tex]5^3[/tex]
Where 5 is the base number and 3 is the exponent
Hence, the expression 5 × 5 × 5 is expressed using the exponent [tex]5^3[/tex]
Learn more about exponent here
brainly.com/question/15993626
#SPJ1
me function.
f(x)=x²-2x+3
Find f(1)
The function f(x)=[tex]x^2[/tex]-2x+3 after putting x=1 then f(1)=2.
What is function?
An association between each element of a non-empty set A and at least one element of a different non-empty set B is called a function. In mathematics, a function is defined as a relation f between a set A (the function's domain) and a set B (its co-domain). f = (a,b)| for all values of a A and b B. Every element of set A must have exactly one image in set B for a relation to be considered a function. A relation from a non-empty set B is called a function if it has the property that no two separate ordered pairs in f have the same first element.
Here the given function is ,
=> f(x)=[tex]x^2[/tex]-2x+3
Now put x= 1 then
=> f(1) = [tex]1^2[/tex]-2(1)+3
=>f(1) = 1-2+3
=> f(1) = 2
Hence the value of f(1)=2.
To learn more about function refer the below link
https://brainly.com/question/11624077
#SPJ9
Solve the equation 4x + 5y = 9 for x.
x equals negative 5 times y plus 9 over 4
x equals negative 5 over 4 times y plus 9
x equals the quantity 5 times y plus 9 end quantity over 4
x equals the quantity negative 5 times y plus 9 end quantity over 4
Answer:
(d) x equals the quantity negative 5 times y plus 9 end quantity over 4
Step-by-step explanation:
You want to solve for x: 4x +5y = 9.
SolutionThis can be treated like any other 2-step equation. First isolate the variable term of interest. Then divide by its coefficient.
4x = -5y +9 . . . . . . subtract 5y
x = (-5y +9)/4 . . . . . divide by 4
If shown, AB and CD are straight lines. Find x in each case.
NEED HELP ASAP
If AB and CD are straight lines. Then x is 45 degrees.
What is Angle?Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Given,
AB and CD are straight lines
The angle at O is 360 degrees which makes complete circle.
Few of the angles are given.
x+x+4x+90=360
6x+90=360
Subtract 90 from both sides
6x=270
x=45 degrees.
Hence the value of x is 45 degrees.
To learn more on Angles click:
https://brainly.com/question/28451077
#SPJ1
pls give answer ASAP
Answer:
B
Step-by-step explanation:
D is the father of J, who is the brother to R and A happens to be his sister.
Therefore, D is the father of J,R and A
|-2| o -4
Is least greatest or equal
Answer: |-2| is greater
Step-by-step explanation:
I hope it's right(Which i'm like 99.9 percent sure it is)
Answer:
|-2| < -4
Step-by-step explanation:
Take the absolute value of -2.
Which is 2.
2 is larger than -4.
Jacob bought 5. 5 pounds of jelly beans for $14. 74. How much would 7. 25 pounds of jelly beans cost, to the nearest cent?.
Answer:
$19.43
Step-by-step explanation:
when 5.5 pounds cost $14.74 then 1 pound costs $2.68
because 14.74 divided by 5.5 equals 2.68
To calculate the price of 7.25 you multiply the price for 1 pund by 7.25
7.25 * 2.68 = 19.43
Out of 30 problems on a
test, Jose got 3 wrong.
What percentage did Jose
get correct?
Answer:
Step-by-step explanation:
3 is 10% of 30. Therefore, the other 27 is the resulting 90% of the whole number of 30.
Solve the following system of equations algebraically:
y = x2 - 7x - 5
y = 2x - 5
Answer:
x = 0; y = -5
x = 9; y = 13
Step-by-step explanation:
y = x² - 7x - 5
y = 2x - 5
Use substitution to set the two right sides equal.
x² - 7x - 5 = 2x - 5
x² - 9x = 0
x(x - 9) = 0
x = 0 or x - 9 = 0
x = 0 or x = 9
Now for each x value, we find a corresponding y vlaue.
x = 0
y = 2x - 5 = 2(0) - 5 = -5
x = 9
y = 2x - 5 = 2(9) - 5 = 13
Answer:
x = 0; y = -5
x = 9; y = 13
Answer:
(0,-5) and (9,13)
Step-by-step explanation:
Step 1: Set up
You can solve system of equations algebraically either by elimination or substitution.You know there is going to be two solutions because of x²Step 2: Solve
Substitution:
[tex]y=x^{2} -7x-5[/tex][tex]y=2x-5[/tex]Since both equations have been solved for y, you can just set them equal to each other.[tex]2x-5=x^{2} -7x-5[/tex][tex]9x-x^{2} =0[/tex][tex]-x(x-9)=0[/tex][tex]x=0\\x=9[/tex]Then plug both x values into one of the equations to get their corresponding y values.[tex]y=2(0)-5=-5[/tex][tex]y=2(9)-5=18-5=13[/tex]Elimination:
[tex]y=x^{2} -7x-5[/tex][tex]y=2x-5[/tex]Since both equations have been solved for y, multiply one equation by -1 in order to cancel the y variable and solve for x.[tex]y=x^{2} -7x-5[/tex][tex]-y=-2x+5[/tex][tex]0=x^{2} -9x+0[/tex][tex]0=x^{2} -9x[/tex][tex]0=x(x-9)[/tex][tex]x=0\\x=9[/tex]Then plug both x values into one of the equations to get their corresponding y values.[tex]y=2(0)-5=-5[/tex][tex]y=2(9)-5=18-5=13[/tex]a group of 234 students are going to see a thanksgiving parade, traveling in 4 busses and 3 vans. Each bus holds 6 more than 3 times a number a van can hold. How many students can fit in one bus?
48 students can fit in one bus.
Given, a group of 234 students are going to see a thanksgiving parade, traveling in 4 busses and 3 vans.
Each bus holds 6 more than 3 times a number a van can hold.
Let the van holds 'x' students
then, bus holds 6 + 3x students
Now, according to the question
4(6 + 3x) + 3x = 234
24 + 12x + 3x = 234
24 + 15x = 234
15x = 234 - 24
15x = 210
x = 210/15
x = 14
So, bus holds 6 + 3x students
= 6 + 3(14)
= 6 + 42
= 48
Hence, 48 students can fit in one bus.
Learn more about Linear Equations here https://brainly.com/question/25858757
#SPJ1
Solve for x. x/6-3=2
The solution of linear equation x/6-3 = 2 is given by x=30.
Given the linear equation is,
x/6 - 3 = 2
Solving the linear equation we get,
x/6-3 = 2
x/6-3+3 = 2+3, adding 3 to both sides
x/6 = 5
x = 5*6, multiplying 5 to both sides
x = 30
Hence the solution for the given linear equation is x=30.
To know more about Linear Equation refer to:
https://brainly.com/question/2030026
#SPJ1
