Answer:
The maximum revenue is $25,000
Step-by-step explanation:
The model equation is;
R = -2.5p^2 + 500p
To find the maximum value, we differentiate this and set result = 0
The first differential of this model equation is -5p + 500
we set this to zero to get the maximum price
5p = 500
p= 500/5
p = 100
Now to get the maximum revenue, we simply substitute the value of the maximum price
That would be -2.5(100)^2 + 500(100)
= -2.5(10,000) + 50,000
= 25,000 + 50,000
= 25,000
An article reports "attendance dropped 2% this year, to 5053." What was the attendance before the drop? (Round your answer to the nearest whole number.)
Answer:
5156
Step-by-step explanation:
Let x represent the initial attendance;
Since the initial attendance dropped by 2%
New attendance = x - 2% of x = x - 0.02x
New attendance = 0.98x
Given;
New attendance = 5053
Equating the values and solving for x;
0.98x = 5053
x = 5053/0.98
x = 5156.12
x = 5156
Initial attendance before the drop = 5156
I'm not quite sure what this means can you explain it for me?
The mean is always the best measure of center (describes the data the best).
Answer:
Ask ur self what does measure means and what does center mean
What I said 4 3/6 - 2 5/6
Answer:
1 2/3
Step-by-step explanation:
The denominators are the same, so we have to borrow from the 4
Borrow 1 in the form 6/6
3 + 6/6+3/6 - 2 5/6
3 9/6 - 2 5/6
1 4/6
Simplify the fraction by dividing the top and bottom by 2
1 2/3
Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.
Notice here however that we have 3/6 - 5/6
which will give us a negative fraction.
Since this will cause us a lot of trouble, instead,
let's rewrite the first mixed number.
We can do this by thinking of 4 and 3/6 as 3 + 1 and 3/6
or 3 + 9/6 by changing 1 and 3/6 to an improper fraction.
So 4 and 3/6 can be written as 3 and 9/6.
So we have 3 and 9/6 - 2 and 5/6.
Now subtract the fractions.
9/6 - 5/6 is 4/6.
So we have 1 and 4/6 or 1 and 2/3.
As an improper fraction, the answer is 5/3.
Nahuel colecciona estampillas: la tercera parte de su colección es de países de América ,la cuarta parte ,de países de Europa y tiene 250 estampillas de Asia Y DE Africa ,¿ Cuantas estampillas tiene en toral ¿ ¿ cuántas son de América y cuantas ,de Europa ¿
Answer:
Total number of stamps is 600
Number of stamps collected from Europe is 150
Number of stamps collected from America is 200
Step-by-step explanation:
1/3 of stamps collected are from America
1/4 of stamps collected are from Europe
While 250 stamps are from Africa and Asia
Now what this means is that the fraction remaining when we subtract the sum of 1/3 and 1/4 is what is equal to 250
Firstly, let’s say the total stamp is x
Now the fraction of x equal to 250 would be ;
1-1/3-1/4 = 1-(1/3 + 1/4) = 1-(7/12) = 5/12
Now, 5/12 of x = 250
5/12 * x = 250
5x = 12 * 250
5x = 3,000
x = 3,000/5
x = 600 stamps
Thus, the total number of stamps collected is 600
The number collected from America is 1/3 * 600 = 200
The number collected from Europe is 1/4 * 600 = 150
At Kenji's Arcade, 1/2 of the games are racing games. Among the racing games, 4/5 are motorcycle-racing games. What fraction of the games at Kenji's Arcade are motorcycle-racing games? Write your answer as a fraction or as a whole or mixed number.
I believe the answer is 2/5
By inspection, state whether the following system has one, none, or infinitely many solutions.
6x + 2y = 10
3x + y = 5
Answer:
infinite solutions
Step-by-step explanation:
Multiply the second equation by 2
6x + 2y = 10
3x + y = 5
6x+2y = 10
This is identical to the first equation
This means there are infinite solutions
I n a polygon, there are 6 right angles and the remaining angles are all equal to 200 degrees each. Find the number of sides of the polygon.
(pls try to help me soon..)
Answer:
The polygon has a total of 15 sides
Step-by-step explanation:
Mathematically, the sum of the interior angles of a polygon can be calculated using the formula
(n-2) 180
Now there are 6 right angles. A right angle refers to 90 degrees. 6 right angles will be 6 * 90 = 540 degrees
Now the remaining number of angles in the polygon will be n-6 with each of this equal to 200 degrees each
The total amount of the remaining angles will be 200(n-6) = 200n-1200
Now adding all the interior angles will give the sum of 180(n-2)
180(n-2) = 200n -1200 + 540
180n -360 = 200n -660
200n -180n = 660-360
20n = 300
n = 300/20
n = 15
Can someone help me?
$10 a month fixed plus $0.10 for each message.
Variable:
m - number of text messages per month
Function:
c(m) - cost per month in dollars of Text-Pay Plan for m messages
Answer: c(m) = 0.10 m + 10
The Frequent text plan costs $20 for 0 messages (that's the fixed cost) and has a slope of (30 - 20)/200 = 1/20 = 0.05 dollars per message.
f(m) = 0.05 m + 20
How many text messages per month make these equal?
c(m) = f(m)
0.10 m + 10 = 0.05 m + 20
0.10 m - 0.05 m = 20 - 10
0.05 m = 10
m = 10/0.05 = 200
Check:
c(200) = .1(200)+10 = 20+10 = 30
f(200) = .05(200) + 20 = 10 + 20 = 30, good
Answer: 200 messages
How do you solve with the elimination method??
Answer: 2=x
Step-by-step explanation: -x+3 = 2x + 1 , 2 = x
simplify 6(2x+3y) + 3(x-y)
Answer:
15 (x+y)
Step-by-step explanation:
Multiply 6 with inside the parenthesis 6(2x+3y) ➡ 12x + 18y
Multiply 3 with inside the parenthesis 3(x-y) ➡ 3x - 3y
Now add them up
12x + 18y + 3x - 3y = 15x + 15y ➡ 15(x + y)
Answer:
6(2x+3y) + 3(x-y)
12x + 18y + 3x - 3y
15x + 15y
15(x + y)
Step-by-step explanation:
PLEASE HELP IVE BEEN WORKING ON THIS FOR 76 HOURS I WILL MARK BRAINIEST PLEASE HELP I AM SO DESPERATE:A student is doing a reading assignment. After 41 minutes of reading, she skims the pages ahead and estimates that she still has 53% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.
Answer:
87 mins
Step-by-step explanation:
The percentage of pages she read = 100-53= 47%
47%------------41 mins
53% ------------- x
x= (41×53)/47
x= 46.23 mins
nearest minute = 46 mins
Total reading assignments is 41+46= 87 mins
Answer:
87 minutes.
Step-by-step explanation:
to get the percentage of the read part, do 100% - 53% = 47%
41min = 47%
? = 100%
cross multiply;
41 × 100 ÷ 47 = 87.2340...
round off to get 87 min
Find the product of 85 and 25
Answer: The product of 85 and 25 is 2125 .
85x25 = 2125
Step-by-step explanation:
Hope it works out !Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
A. 2.2
Step-by-step explanation:
The average rate of change between 2 x values is the total change of the y values (output values) divided by the change in the x values.Slope is special situation of that.
point 1 (x₁,y₁) → ( 2,7.5)
point 2 (x₂,y₂) → ( 18,42.5)
slope = 42.5 -7.5/18-2 =35 / 16 = 2.1875 ≈ 2.2
Question 1 (1 point)
In a lab, 370 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 10% each hour.
Write an exponential model giving the number of cells y present thours after starting the experiment. Estimate the time when the number of
cells is 600.
o
a
c
y = 370(1.1)
; after about 5 hours
y = 370(0.1)", after about 10 hours
y = (370. 1.1) after about 1 hour
= 370(0.9)
; after about 0.5 hour
C
1
plssss I need this now
Answer:
Model: y = 370 * (1.1)^t
Time for 600 cells: after about 5 hours
Step-by-step explanation:
The function that models an exponencial growth is:
y = Po * (1 + r)^t
Where y is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have that Po = 370 and r = 10% = 0.1, so our model is:
y = 370 * 1.1^t
To find the time when the number of cells will be 600, we just need to use y = 600 and then calculate for t:
600 = 370 * 1.1^t
1.1^t = 600/370
1.1^t = 1.6216
log(1.1^t) = log(1.6216)
t * log(1.1) = log(1.6216)
t * 0.0953 = 0.4834
t = 0.4834 / 0.0953 = 5.0724 hours
I am a three-digit number. My second digit is 4 times bigger than the third digit. My first digit is 3 less than my second digit. Who am I?
Answer:
285
Step-by-step explanation:
use algebra
third is x
second is 4x
first is 4x-3
x+4x+4x-3
9x-3 = x+x+1+x+2
9x-3=3x+3
12x=6, divide x=2
third is 2, sec is 8, first is 5
pls answer. will mark as branliest
Answer:
80°
Step-by-step explanation:
Angle CBD = 100°
Angle ABC = 180° - 100° = 80°
Angles on a straight line add up to 180°.
Angle ABC and angle EFB are corresponding angles, so they are equal.
= 80°
Answer:
A) x = 80 degrees
B) <CBD = <BFH because of corresponding angles theorem. After that, To find the value of x, We subtract 100(The measure of <BFH) from 180 because x and <BFH were lying on a straight line.
Estimate a 15% tip on a dinner bill of $57.86 by first rounding the bill amount to the nearest ten dollars.
Answer:
$70
Step-by-step explanation:
To add a tip, we must multiply the cost of the bill by 1.15. This will give us the total amount including the tip.
57.86 x 1.15 = 66.539
Because this is money, and it wants us to round to the nearest ten dollars, the cost would be $70. (66.539 is closer to 70 than it is to 60)
Between what two integers does square root of 160 lie ?
Answer:
It would be between 12 and 13.
Step-by-step explanation:
What we must do is find the square root of 160 and then round to the smallest number and the largest number, in this way we will know what integer that root would be, then we have to:
(160) ^ (1/2) = 12.65
If we round to the smallest number it would be 12 and if we round to the largest number it would be 13.
Which means that it would be between 12 and 13.
Simiplify (3a2+1)−(4+2a2). Write the answer in standard form
Answer:
-6^4+8x^2-4
Step-by-step explanation:
(3a^2+1)(-2a^2-4)
3a square x -2a square= -6^4
3a square x 1= 3x square -2x^2 x -4=8x^2
3x square + 8x^2= 11x^2
-4 x 1 =-4
please please please help me with this question
which is the correct answer
Answer:
(a) (a² +3a -1)(a² -3a -1)
Step-by-step explanation:
The constant term of the product of the factors will be equal to the product of their constants. Since you want that product to be +1, the signs of the factor constants must be the same. That eliminates choices (c) and (d).
__
To tell which of choices (a) and (b) is correct, we can compute the squared term in their product. Let's do it in a generic way, with the constant (±1) being represented by "c".
We want the a² term in the product ...
(a² +3a +c)(a² -3a +c)
That term will be the result of multiplying both sets of first and last terms, and adding the product of the middle terms:
(a²·c) +(a²·c) -9a² = a²(2c-9)
So, we want the factor (2c-9) to be -11, which means c=-1, not +1.
The correct factorization of the given expression is ...
(a² +3a -1)(a² -3a -1) . . . . matches choice A
It took Travis and Tony 40 minutes to skate 5 miles. The return trip took them 30 minutes. What was their average speed for the trip?
Answer:
[tex]\frac{1}{7}\,\,miles/minute[/tex]
Step-by-step explanation:
Given: Travis and Tony took 40 minutes to skate 5 miles and the return trip took them 30 minutes
To find: average speed for the trip
Solution:
Total distance = 5 + 5 = 10 miles
Total time = 40 + 30 = 70 minutes
So,
Average speed for the trip = Total distance/Total time = [tex]\frac{10}{70}=\frac{1}{7}[/tex] miles/minute
how to find the independent and dependent variable from the equation y=5x-3
Dependent variable is the output value and the independent variable is the input value. So for y=5x-3, when you input x=3, the output is y=12.
y is the dependent variable.
x is the independent variable.
What is true about 5–√?
Answer:
The last one (For Imagine Math)
5–√ is irrational. Its decimal equivalent does not terminate or repeat.
The number √5 is an irrational number
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = √5
Now , the number √5 is expressed as
Since the square root of 5 is irrational, there is no pattern to the decimal expansion and it never ends. It also indicates that it cannot be expressed as a fraction with an integer denominator and numerator.
Consequently, it is impossible to calculate the precise value of the square root of 5
Hence , the number √5 is an irrational number
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Help me please!!! URGENT!!
option B
i pretty sure it is
Match each description to the appropriate provider or service.
treat time-sensitive emergencies
Hospitals
Medical specialists
offer treatment in a specific field of medicine,
such as cardiology
care for basic needs after regular doctor
hours
Urgent care centers
x
X
General practice doctors and nurse
practitioners
provide counseling for unplanned
pregnancies
Crisis pregnancy centers
care for routine medical needs
Explanation:
Urgent care centers: care for basic needs after regular doctor hours
Hospitals: treat time-sensitive emergencies
Medical specialists: offer treatment in a specific field of medicine, such as cardiology
General practice doctors and nurse practitioners: care for routine medical needs
Crisis pregnancy centers: provide counseling for unplanned pregnancies
__
Discussion
Urgent care centers are often open all hours, but may not be as fully equipped (or staffed) to provide the sort of emergency medicine that a fully-equipped hospital can provide. While a general- or nurse-practitioner can provide routine care, they will consult with specialists when expertise is needed in a specific area.
Various kinds of pregnancy centers can provide counseling and perhaps some medical services for planned or unplanned pregnancies.
Answer:
all correct
Step-by-step explanation:
. If α and β are zeroes of x*2 – 4x + 1, then 1/α + 1/β – αβ is
3
5
-5
-3
Phil starts with G gallons of gas in his tank Phil used 3/4 of gas and then fills the tank with 5 gallons which expression represents the amount of gas now in his tsnk
Answer: 5 + 1/4G
Step-by-step explanation:
From the question, Phil starts with G gallons of gas in his tank and Phil used 3/4 of gas. This means:
G - 3/4 = 1/4G
He is left with 1/4G and and then fills the tank with 5 gallons. The expression that represents the amount of gas now in his tank will be:
= 1/4G + 5 or 5 + 1/4G
Find bc plz help can’t quite gets it
Answer: The answer is 1.5 cm
Step-by-step explanation:
According to the scale drawing and common sense the bottom side of the triangle is smaller than the left side so the only answer that is smaller than 2 cm is 1.5 cm.
An online DVD rental company offers gift certificates that you can use to purchase rental plans.you have gift certificate for $30.The plan you select costs $5 per month.How many months can you purchase with the gift certificate ?
Answer:
You can get 6 months
Step-by-step explanation:
Take the gift certificate and divide by the cost per month
30/5 = 6
You can get 6 months
Answer:
6
Step-by-step explanation:
You can compute this by dividing 30 by 5, or in otherwords, by finding the amount of times you can add 5 to get 30.
So 5 + 5 + 5 + 5 + 5 + 5 = 30
and since there are 6 5s, your answer is 6
Find the distance between A (4. - 1) and B (-3,0)
Answer:
hope this is correct