Answer:
a. $6 = ($500 + $2q) / q
b. 125
Average cost = ($500 + $2q) / q
($500 + $2x 125) / 125 = $6
Step-by-step explanation:
Average cost = total cost / quantity produced
total cost = fixed cost + variable cost
Fixed costs are costs that do not vary with output. e.g. the cost of the logo
Variable costs are costs that vary with production e.g. cost of printing and cutting
Variable cost = $2 x quantity of parking ticket sold
let q = quantity of parking ticket sold
variable cost = 2q
$6 = ($500 + $2q) / q
to determine the number of parking ticket to be sold for average cost to be $6, take the following steps
Multiply both sides of the equation by q
6q = 500 + 2q
collect like terms
6q - 2q = 500
4q = 500
q = 125
125 tickets have to be sold for average cost to the $125
to justify the answer, replace 125 in the first equation to confirm if $6 would gotten as the average cost
($500 + $2q) / q
($500 + $2x 125) / 125 = $6
A triangle has two angles that measure 65 degrees and 35 degrees. What is the measurement of the third angle?
Answer:
THE MEASUREMENT ON THE THIRD ANGLE IS 180!!
Step-by-step explanation:
A bag with 8 marbles has 8 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: 1
Step-by-step explanation:
8 yellow / 8 total = 8/8 = 1
An 18 kg weight is lifted up to 12 m in height and then released in free fall. What are the potential energy, kinetic energy and total energy at: The highest point? 3 m above the ground? At the ground?
Answer:
1) at the highest Point
KE= 0 PE=2116.8 N
2) 3 m above the ground
PE= 529.2 N KE=1587.6 N
3) at the ground
KE= 2116.8 N and PE=0
Step-by-step explanation:
The potential energy is given by
PE= mgh where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.
The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.
1) at the highest Point
Now at the highest point the velocity is zero
KE= 1/2 mv²
KE= 0
PE = mgh
PE= 18 *9.8* 12= 2116.8 N
Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N
2) 3 m above the ground
At 3 m above the ground
PE= mgh
PE= 18 *9.8* 3= 529.2 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N-529.2N= 1587.6N
KE=1587.6 N
3) at the ground
at the ground the height will be zero
PE= mgh
PE= 18 *9.8* 0= 0 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N=2116.8 N + 0
KE= 2116.8 N
or
KE= 1/2 mv²
KE = 1/2* 18 *(15.36)²= 2116.8
The length of a rectangle is 7 cm longer than its width.
The area of the rectangle is 120 cm².
What is the width of the rectangle?
Enter your answer in the box.
Answer:
length = 15 width = 8
Area 15x8 = 120
Step-by-step explanation:
L = length
W= width
L = W + 7 (width plus7)
Area = W x L
Area =W (W+7)
Do the distribution:
120 = W ² + 7W
Subtract 120 on both sides
W + 7W -120 = 0
Factor it
(W + 15)(W - 8) = 0
W = -15 or W = 8
8 is used for W
L = W + 7
L = 8+7=15
Length = 15
Width =8.
Please help will give brainliest
Answer:
D
Step-by-step explanation:
Convert y-1 = 2/5(x+10) into general form. Please explain steps
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/converting-from-slope-intercept-to-standard-form
This can help!
Answer:
y=2/5x+5
Step-by-step explanation:
Distribute 2/5 to the x and 10
At this point, y-1=2/5x+4
Add the 1
y=2/5x+5
Can you help me............
Answer:
1,652,43
Step-by-step explanation:
Jacqueline had $.84 her brother gave her another $.61 write the amount of money Jacqueline now has as a decimal explain
Answer:
$1.45
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Money already had = $.84
Brother gave = $.61
So, total money Jacqueline has = Money already had + Brother gave money
= $.84 + $.61
= $1.45
Explanation : Total money Jacqueline has will be the total of the sum of the money she already had and the money her brother gave him.
Use the original price and the markup to find the retail price.
Original price: $70; Markup: 15%
Answer:
$80.50
Step-by-step explanation:
To find the retail price:
Find 15% of $70. 0.15 × $70 = $10.50Add the markup price to the original price. $70 + $10.50 = $80.50Final answer - $80.50A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for Pi and round to the nearest whole number.) A circle inside of a square with side lengths of 12 inches. The circle has a diameter of 12 inches. 31 inches squared 69 inches squared 106 inches squared 125 inches squared
Answer:
31 inches squared
Step-by-step explanation:
Area of shaded part = area of square - area of circle
area of square = length²
12² = 144
Area of a circle = πr²
r = radius = 12/2 = 6
(3.14) x 6² = 113.04
Area of shaded part = 144 - 113.04 = 30.96
rounding off to the nearest whole number gives 31
Answer:
31 squared inches
Step-by-step explanation:
cuz i did the test
MoNkEe :)
Please help me. NO LINKS AND DONT USE ME FOR POINTS.
Answer:
111.2 Fahrenheit for the bottom one and 22.8 Celsius for the top one.
Step-by-step explanation:
Following the formulas for the numbers we can get this
Answer:
22.7 degree c
111.2 degree f
Step-by-step explanation:
Suppose you randomly select a sample of 16 observations from a population with =11 and =2 You find ⎯⎯⎯=9. The sampling error is _____ -2 2 -1 1
Answer:
- 2
Step-by-step explanation:
Given that :
Population mean, μ = 11
Population standard deviation, σ = 2
Sample mean, xbar = 9
Sample size, n = 16
The sampling error could be explained as the variation or difference which exists in statistical measure of the population and sample as the sample data does not totally or wholly represent the population data. This difference in sample and population mean is called sampling error.
Hence, the sampling error in the above scenario can be obtained thus :
Sampling error = (xbar - μ)
Sampling error = 9 - 11 = - 2
HI GUYS!! PLS HEL PME I NEED HELP, here is the question
There are 8 big fish for every___
small fish.
There are 4 big fish for every___
small fish.
The image is attached any way pls someone i beg u help me.
Answer and Step-by-step explanation:
We have to use the image to help us answer this question.
We see that there are 8 big fish in the tank, and 10 small fish in the tank.
So, for the first part, it would be:
There are 8 big fish for every 10 small fish.
For when there are 4 big fish, we need to divide 10 by 2, since 8 divided by 2 is 4.
10 ÷ 2 = 5
So,
There are 4 big fish for every 5 small fish.
I hope this helps!!
#teamtrees #PAW (Plant And Water)
3RD TIME ASKING PLS HELP
The angles surrounding the point p are 90 degrees
Then using the angle given, find the missing angles.
JPH = 90
HJP = 49
90+49 = 139
180 - 139 = 41
Therefore JHP = 41
HLP = HJP = 49
HLP = 49
KLP = 72
KLP + HLP = 72 + 49 = 121
Therefore, HLK = 121
LP = JP = 16
JP = 16
HL = HJ = 13
HL = 13
Hope this helps! =)
find the value of x
(7x + 23)
(21x - 11)
Answer:
=30x
=10x
Step-by-step explanation:
7x + 23 = 30x
21x - 11 = 10x
Help ill give brainliest and 5 star and thx if u help with all of em and ill give 20 points
plz plz plzzz
Answer:
1. 3mg
2. 3050g
3. 0.025g
4. 5700mg
5. 0.294g
6. 32mg
7. 13700mg
8. 2.441kg
9. 8.24g
10. 0.075kg
11. 430g
12. 0.721g
Step-by-step explanation:
This should be right :)
Which function is the same as the linear
function represented by the table?
x y
-4 -14
-2 -8
0 -2
2 4
4 10
Answer:
y=3x-2
Step-by-step explanation:
We know the equation ends in -2 because when x is zero, y is -2
To find the rest of the equation take any other point and take away the -2 from y
Then divide the y by the x to see how may times larger (or smaller) the y is then the x
(I chose -14)
-12÷-4=3
y=3x
the put the -2 back at the end because otherwise, your -14 would be a -12 and that is not a point on the table
HELP DOES EQUATION A OR B HAVE A POSITIVE SLOPE!!??
Answer:
A
Step-by-step explanation:
The slope in a slope-intercept equation is the coefficient of x.
In A, the slope is a 4/3, which is positive
In B, the slope is a -5, which is negative
pls help!!?!?!?!?!?!!?!?!?
Answer:
The first step is to subtract 4 to both sides. Next we must multiply both sides by 2. The answer is - 20
Hunter took out a $3,500 loan with interest to pay for some business supplies. He will repay the loan in 3 years with monthly payments of $109.68. Find the total amount of Hunter’s repayment.
A. $329.04
B. $3,948.48
C. $1,316.16
D. $10,500
Answer:
A
Step-by-step explanation:
A. $329.04
َ،،،،،،،،،،،،،،،
What is the answer mane
Answer:
im tryna figure it out to dawg
Step-by-step explanation:
Which number line shows that point A is 4 units from 0?
Line a passes through points
(-2,1) and (2,9). Which equation
is an equation of a line parallel
to line a?
a) y = -2x + 5
1
b) y=-=x+5
2
1
y = -x-5
c) y=*
d) y = 2x - 5
Answer:
The answer is A! I got it right on pluto
A television newscaster from a 24-hour news station wants to estimate the number of hours per day its viewers watch
programming on this channel
. The neviscaster randomly selects 100 viewers and asks them how many hours per day
they watch this station. The newscaster constructs an 85% confidence interval for the true mean number of hours
viewers watch this station. Which of the following would decrease the margin of error?
Answer:
This isn't the best worded question but from what I understand a larger sample size decreases the margin of error. If he would like a more accurate answer a larger sample size of the viewers will give more accurate answers.
Step-by-step explanation:
Use limits to find the area between the curve of y = x and the x-axis for the interval from
x= 1 to x= 3.
Links will be reported.
Answer:
The area between the curves is 4 square units.
Step-by-step explanation:
We want to find the area bounded by:
y = x
x = 0
in the interval x = 1, x = 3
This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3
Written as:
[tex]\int\limits^3_1 {x} \, dx[/tex]
And the integral of x is equal to x^2/2
Then:
[tex]\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4[/tex]
The area between the curves is 4 square units.
itis true or false plz be fast
The expression 3(x-9) is equivalent to
03(x)+9.
3(x)+3(9)
03(x) -9.
03(x) – 3(9)
Answer:
The expression equivalent to 3( x - 9) Is
3(x) - 3(9)
3x-27
The answer is D
3(x)-3(9)= 3x-27
The model below is shaded to represent an expression. Which expression represnts the model?
Answer:
stop rushing me aaaaaaaaaahhhhhhhh
Step-by-step explanation:
What is the angle through which the pendulum oscillates between two maximum positions?
Answer:
does this help
Step-by-step explanation:
What is the maximum angle of a pendulum?
Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.
The populations of two cultures of bacteria, A and B, after x hours are shown below. Which statement is a correct comparison of bacteria A and bacteria B?
Answer:
(c)
Step-by-step explanation:
Given
See attachment for A and B
Required
Compare A and B
First, we get the initial population of A and B.
The initial population is at when [tex]t =0[/tex]
From the table of bacteria A, we have:
[tex]Initial = 100[/tex] when [tex]t = 0[/tex]
From the graph of bacteria B, we have:
[tex]Initial = 75[/tex] when [tex]t = 0[/tex]
Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.
Next, calculate the slope of A and B i.e. the rate
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]
Where
y = Number of bacteria
t = time
For bacteria A:
[tex](t_1,y_1) = (0,100)[/tex]
[tex](t_2,y_2) = (2,140)[/tex]
So, the slope is:
[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]
[tex]m_A = \frac{40}{2}[/tex]
[tex]m_A = 20[/tex]
For bacteria B:
[tex](t_1,y_1) = (0,75)[/tex]
[tex](t_2,y_2) = (1,100)[/tex]
So, the slope is:
[tex]m_B = \frac{100- 75}{1 - 0}[/tex]
[tex]m_B = \frac{25}{1 }[/tex]
[tex]m_B = 25[/tex]
Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.
Hence, (d) cannot be true
Next, we determine the equation of both bacteria
This is calculated using:
[tex]y = m(t - t_1) + y_1[/tex]
For bacteria A, we have:
[tex]y = m_A(t - t_1) + y_1[/tex]
Where:
[tex](t_1,y_1) = (0,100)[/tex]
[tex]m_A = 20[/tex]
So:
[tex]y = 20(t - 0) +100[/tex]
[tex]y = 20(t) +100[/tex]
[tex]y = 20t +100[/tex]
For bacteria B, we have:
[tex]y = m_B(t - t_1) + y_1[/tex]
Where:
[tex](t_1,y_1) = (0,75)[/tex]
[tex]m_B = 25[/tex]
So:
[tex]y = 25(t - 0) + 75[/tex]
[tex]y = 25(t) + 75[/tex]
[tex]y = 25t + 75[/tex]
At 3 hours, the population of bacteria A is:
[tex]y = 20t +100[/tex]
[tex]y = 20* 3 + 100[/tex]
[tex]y = 60 + 100[/tex]
[tex]y = 160[/tex]
At 3 hours, the population of bacteria B is:
[tex]y = 25t + 75[/tex]
[tex]y=25 * 3 + 75[/tex]
[tex]y=75 + 75[/tex]
[tex]y=150[/tex]
After 3 hours, bacteria B is 150 while A is 160.
This implies that (c) is correct because the population of B is less than that of A, at 3 hour
Lastly, to check if they will ever have equal population or not, we simply equate both equations.
So, we have:
[tex]y = y[/tex]
[tex]25t + 75 =20t + 100[/tex]
Collect like terms
[tex]25t - 20t = 100 - 75[/tex]
[tex]5t = 25[/tex]
Solve for t
[tex]t = 25/5[/tex]
[tex]t = 5[/tex]
They will have equal population at 5 hours.
Hence, b is incorrect
From the above computation, only (c) is correct