Answer:
90.5660377
Step-by-step explanation:
20×20÷53×12
400÷53×12
7.54716981×12
90.5660377
The price of a bus ticket to Saskatoon is $180. This bus has 56 seats. The bus company is considering dropping this bus fare as part of a promotion to increase the ridership on that route.
The buses has only been at half capacity lately. The companies research shows that for every 5$ decreases they will gain 2 more riders.
1. Define variable and set up an equation to represent his scenario
2. What is the maximum revenue the bus company can earn and what will be the cost of a ticket when the revenue is at a maximum
The bus tickets and price are illustrations of a quadratic function, and the maximum revenue the bus company can earn is $5107.6
The variables of the scenarioThe variable representation used in this scenario are:
Let x represents the number of seatsLet y represents the total amountThe maximum revenueThe price is given as:
Price = $156
The number of seats is given as:
Seats = 56
When the bus is at half capacity, we have:
Seats = 28
As the price decreases by $5, the rider gains 2 more.
So, the revenue equation is:
y = (156 - 5x)(28 + 2x)
Expand
y = 4368 - 140x + 312x - 10x²
Differentiate
y' = 0 - 140 + 312 - 20x
Evaluate the sum
y' = 172 - 20x
Equate to 0
172 - 20x =0
Add 20x to both sides
20x = 172
Divide both sides by 20
x = 8.6
Substitute x = 8.6 in y = (156 - 5x)(28 + 2x)
y = (156 - 5 * 8.6)(28 + 2 * 8.6)
Evaluate
y = 5107.6
Hence, the maximum revenue the bus company can earn is $5107.6
#SPJ1
Read more about revenue equations at:
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if x=2 and y=0 what will be the value of x power y?
Answer:
1
Step-by-step explanation:
X power y would be written as 2^0, and any number to the power of 0 is equal to 1.
1
I didn't know this was possible so I looked it up :)
Have an amazing day/afternoon/night! <3
How many students in the survey said that math was their favorite subject? 42 81 120 123
Answer:
In the survey, 123 students picked math as their favorite subject.
Step-by-step explanation:
Answer:123 was chosen by the students since it is their favorite subject.
Increase £200 by 12.5%
Answer:
£225
Step-by-step explanation:
12.5% × £200
>> £25
Since we want to increase £200 by 12.5%, then we will add the increment to the £200 to get;
£200 + £25 = £225
Answer: £25
Step-by-step explanation: Take £200 and multiply by 12.5% and you get £25. I hope this helped!
pls help me brainly wont show me the right results
Answer:
[tex]\boxed{\tt x=45^o}[/tex]
Step-by-step explanation:
The two angles together are supplementary, which means that they add up to 180°
[tex]\tt (2x+45)^o+x^o=180^o[/tex]
Now, let's solve for x:-
[tex]\tt 2x+45+x^o=180^o[/tex]
[tex]\tt 3x+45^o=180[/tex]
[tex]\tt 3x=135^o[/tex]
[tex]\tt x=45^o[/tex]
_____________________
PLS HELP ASAP Cassandra earns $12. 98 an hour working at Key Food. How much money will she earn this month, if she works 36. 7 hours? Round the amount of time to the nearest hundredth.
Answer:
476.37
Step-by-step explanation:
$12.98/hr at KF (Key Food)
$x/36.7, so look at it fractionally.
36.7x12.98
This wil be 476.366
Rounding to the nearest hundredth is 2 decimal places (tenths, hundredths).
476.366 will be 476.37
Breanna and Courtney kept track of the total distance they rode their blcycles over the summer. With one week remaining in the summer, Breanna had ridden her blcycle b miles, and Courtney had ridden her bicycle c miles. During the last week of summer Breanna rode her bicycle 200 miles and Courtney rode her bicycle 500 miles. . For the entire summer, Courtney recorded 180 mlles more than Breanna recorded. Enter an equation that can be used to show that Courtney rode her bicycle 180 mlles more than Breanna rode her bicycle
The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let b represent the number of miles rode by Breanna and c represent that of Courtney.
c = b + 180
The equation that shows Courtney rode 180 mlles more than Breanna rode is c = b + 180
Find out more on equation at: https://brainly.com/question/2972832
What is the solution to the linear equation? 6k 10.5 = 3k 12 k = 0.5 k = 2 k = 7.3 k = 9
The solution of the linear equation is k =0.5.
What is the linear equation?An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.
Linear equations are the equations of degree 1.
The given linear equation is;
[tex]\rm 6k + 10.5 = 3k + 12[/tex]
The value of k is determined in the following steps given below.
[tex]\rm 6k + 10.5 = 3k + 12\\\\6k-3k=12-10.5\\\\3k = 1.5\\\\k = \dfrac{1.5}{3}\\\\k = 0.5[/tex]
Hence, the solution of the linear equation is k =0.5.
To know more about linear equations click the link given below.
https://brainly.com/question/5085290
only one question, correct answer gets brainliest
Answer:
CA ≈ 10 cm
Step-by-step explanation:
Since we know 2 sides and 1 angle we can use the Law of Cosine to find the third side.
CA = √(AB²+CB²- 2· AB· CB· cos 50°)
CA = √(7² +13² -2·7·13· cos 50°)
CA = √(49 +169 -116.987345)
CA = √101.012655
CA = 10.0505
CA ≈ 10 cm
The soccer coach bought 3 new soccer balls. The total cost of the balls was $21. 28. The coach used a $20 bill and a $10 bill to pay for the balls. Which is not a combination of coins and bills that can be used to make the change that the coach should receive?
----------------------------------------------------------------------------------------------------------------------------
A. One $5 bill, one $2 bill, one $1 bill, four dimes, two pennies
B. One $5 bill, three $1 bills, two quarters, two dimes, two pennies
C. Eight $1 bills, seven dimes, two pennies
D. Four $2 bills, a half-dollar, four nickels, two pennies
Answer:
a
Step-by-step explanation:
a is 8 .52 so its to low and the change was 8.72
The location where the x- and y-axes intersect is known as the ____________.
A. coordinate plane
B. origin
C. ordered pair
D. quadrant
Answer:
B. origin
Step-by-step explanation:
It is usually right at the center of a graph, the point (0,0) It is where you start from to graph points.
What is the value of x, in the equation below?
Answer:
16
Step-by-step explanation:
Lets first solve the right side :)
(3^5)^4 -> 3^20 = 3486784401
Now lets solve the left side :)
When we multiply the bases to exponets, we add the exponets together :)
Lets see what numbers equal 20 when added :)
4 + 4 = 8 Nope!!
4 + 5 = 9 Not at all!!
4 + 20 = 24 Too big!!
4 + 16 = 20 Perfect!!
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
The answer you are looking for is in D- 16
Explanation:
Included in attachment
Write the equation of the circle below to complete the square. Also determine the area of the circle.
Answer: [tex](x-7)^2+(y+2)^2=11^2[/tex] ; [tex]A=121\pi[/tex]
Step-by-step explanation:
I have never done a problem like this, so this is my first time attempting it.
The standard form for the equation of a circle is:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
Begin by grouping the 'x' terms and 'y' terms:
[tex](x^2-14x)+(y^2+4y-68)=0[/tex]
Complete the square for the second polynomial:
[tex](\frac{b}{2} )^2=(\frac{4}{2} )^2=4[/tex]
[tex](x^2-14x)+(y^2+4y+4-4-68)=0[/tex]
[tex](x^2-14x)+(y^2+4y+4)-4-68=0[/tex]
[tex](x^2-14x)+(y^2+4y+4)-72=0[/tex]
[tex](x^2-14x)+(y+2)^2-72=0[/tex]
Do the exact same process with the other polynomial:
[tex](x^2-14x-72)+(y+2)^2=0[/tex]
Complete the square:
[tex](\frac{14}{2} )^2=49[/tex]
[tex](x^2-14x+49-49-72)+(y+2)^2=0[/tex]
[tex](x^2-14x+49)-49-72+(y+2)^2=0[/tex]
[tex](x^2-14x+49)-121+(y+2)^2=0[/tex]
[tex](x-7)^2-121+(y+2)^2=0[/tex]
Bring the 121 to the other side to get:
[tex](x-7)^2+(y+2)^2=121[/tex]
[tex](x-7)^2+(y+2)^2=11^2[/tex]
The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:
[tex]A=\pi r^2=121\pi[/tex]
What is the height of a cylinder with a volume of 936 pi cubic inches and a diameter of 24 inches?
1.625 inches
4.75 inches
6.5 inches
39 inches
Answer:
6.5 inches
Step-by-step explanation:
Finding the height of the cylinder
Volume = 936 π in³
diameter = 24 inches
r = 24 ÷ 2
r = 12 inches
Volume = 936π
πr²h = 936π
[tex]\bf \sf h= \dfrac{936 \pi }{r^2*\pi }\\\\h = \dfrac{936 * \pi}{12*12* \pi}\\\\h = \dfrac{936}{12*12}\\\\\\\boxed{height = 6.5 \ inches}[/tex]
Answer:
6.5 i got 100
Step-by-step explanation:
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
[tex]25\sqrt{3} \ [units^2].[/tex]
Step-by-step explanation:
1) one side of the given rectangle can be calculated as:
10*sin30°=5 [units].
2) another side of the given rectangle can be calculated as:
10*cos30°=5√3 [units].
3) finally, the area required is:
5*5√3=25√3 [units²].
Need help!!!!!! ASAP
Answer:
A = 0.43 B = 0.49
Step-by-step explanation:
For A: The options are between 0.40 and 0.45. A is plotted on the 3rd line from 0.40. That makes the answer 0.43.
For B: It is in the middle of 0.45 and 0.50. It is plotted on the 4th line from 0.45, which is 0.49.
A = 0.43; B = 0.49
Rebecca ran a shorter distance than Stacy but a longer distance than Josie. Josie ran a longer distance than Finn. Who ran a shorter distance, Stacy or Finn?
Answer:
Rebecca did a shorter run then Stacy
Rebecca ran a longer distance than Josie
Josie ran a longer distance than Finn
Step-by-step explanation:
if Rebecca’s distance was shorter than Stacy’s and longer than Josie, then Stacy’s running distance would have to be more that Josie’s and Finn’s.
1.Stacy
2.Rebecca
3.Josie
4.Finn
PLEASE HELP MEEEE!!!!
What is the solution to the following equation? 6(2x – 10) + 22 = 3x + 16 (1 point) 2 3 5 6
Answer:
X=6
Step-by-step explanation:
1. 6(2x-10)+22=3x+16
2. 12x-60+22=3x+16
Is that the answer you are looking for
1. My sister is 14 years old. My brother says that his age minus 12 is equal to my sister's age. How Old is my brother? (Please state the equation clearly)
2. Kim bought a poster that cost 8.95 and some colored pencils. The total cost was 21.35. How much did the colored pencils cost? (Please state equation clearly)
3. The Acme Car Company sold 37 vehicles in June. How many compact cars were sold in June? (State Equation Clearly)
4. Sandra wants to buy a new MP3 player that is on sale for $95. She has saved $73. How much more money does she need? (Please state Equation Clearly)
5. Ronald spent $123.45 on school clothes. He counted his money and discovered that he had $36.55 left. How much money did he originally have?(State equation clearly)
6. Brita withdrew $225 from her bank account. After her withdrawal, there was $548 left in Brita's account. How much money did Brita have in her account before the withdrawal. (State equation clearly)
I need this by today please explain it clearly and also say the equation, Thank you (:
Answer:
1. x - 12 = 14 {brother's age minus 12 equals sister's age}
x = 26 {added 12 to each side}
Your brother is 26.
2. x+8.95=21.35
now you must subtract 8.95 by both sides which equals x =12.4
3. 29 compact cars.
The total number of vehicle is 37. So you can just subtract 37 by 8 which gives 29.
4. x +73=95
subtract both sides by 73. which equals 22
5. $160 He originally spent $123.45 and was left with $36.55 you just add both numbers and that's what you get altogether.
6. X-225=548
Solve for x
Add 225 to both sides. So x - 753
I hope this helps! Please dont mark this wrong or delete this i worked really hard! I hope this helps tho! :)
Please help out asap thanks
Answer:
there all below
Step-by-step explanation:
Mean: 51.5
There is no mode so you would put "No mode.''
Median: 51
hope this helps <33
what is the general rule of 3;0;-3
Answer:
-3
Step-by-step explanation:
The general rule can be found by noticing patterns such as the numbers get smaller by 3 from the first term 3 towards the next 0 and towards next one -3
term 1: 3
term 2 : 3 -3 = 0
term 3 : 0 -3 = -3
The general rule of 3;0;-3 is subtract 3
HELP I need this done NOW
Ms. Doss is taking her class to South Padre Island and they are going to clean up a section that is 4 %
miles long. She is going to split her class into five equal groups. If each group is cleaning an equivalen
ength of beach, what length will they be cleaning?
How many blocks having 2 m³ volume of each are there in a wall having volume 600m³
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Number of blocks having volume of 2 m³ in the wall ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{600}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:300 \: \: blocks[/tex]
Step-by-step explanation:
No of blocks will a wall will have =
Volume of wall / volume of one block
putting the known values ,
No of blocks = 600m³/2m³
No. Of blocks = 300 blocks
An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0
Answer:xponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0
Step-by-step explanation:
HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.
Answer:
The slope of the line is 1
In point-slope form:
y = x + 1
Answer: 1
Step-by-step explanation: the rise is 1 and the run is also 1 so 1/1 equals 1
what is the opposite reciprocal of "-1/6"
Answer:
6/1
Step-by-step explanation:
The reciprocal is always the opposite. for example, the reciprocal of 9/10 is 10/9
Answer:
6 or 6/1
Step-by-step explanation:
The opposite reciprocal is when a fraction is flipped upside down (the reciprocal part) and with the signs changed (the opposite).
For -1/6
[tex]\frac{-1}{6} < ==flip\ the\ fraction\\\\\frac{6}{-1}\\\\ -6 < ==change\ the\ sign\\\\6[/tex]
Hope this helps!
Which goes with which?? Please help and only answers that make sense
hope it helps...!!!
Answer:
Check the image That’s I provided
the sum of two consecutive numbers in 23. what are the numbers?
Answer:
11 + 12 = 23
Step-by-step explanation:
A bag with 10 marbles has 10 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is yellow? Write your answer as a fraction in simplest form.
Answer:
the answer is 1
Step-by-step explanation:
ok
El quintuple de un número cuadrado disminuido en 9 da como resultado 36;¿cual es ese número?
Usando un sistema de ecuaciones, se encuentra que ese número es n = -3 o n = 3.
¿Qué es un sistema de ecuaciones?Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, la variable es el número n.
El quintuple de un número cuadrado disminuido en 9 da como resultado 36, o sea, la ecuación es:
5n² - 9 = 36
5n² = 45
n² = 9
n = -3 o n = 3.
Puede-se aprendes mas a cerca de sistema de ecuaciones en https://brainly.com/question/27305333