Answer:
16
Step-by-step explanation:
Hope this helps
PLEASE HELP!
To raise money for malaria research the New York City Rotary Club is going to sell 200,000
raffle tickets. One ticket will have a 8000 dollar prize attached to it. Ten tickets will have a
300 dollar prize attached to it. Seventy-five tickets will have a 50 dollar prize. (As a wam up,
answer for yourselves: what is the total amount of all the prize money?) In addition to the
prize money, to make sure that the tickets are secure, by hiring a company which specializes in
producing anti-counterfeit raffle tickets, the cost of raffle tickets is given by C(20) = 4500+6x.
To cover both the prize money and the cost of producing the raffle tickets, as a warm-up,
what should be the price of each of the 200,000 raffle tickets in order to break even?
Step-by-step explanation:
so, they want to sell 200,000 tickets (and we assume they can really sell all of these).
they have to pay the prize money afterwards :
1 × $8,000 = $8,000
10 × $300 = $3,000
75 × $50 = $3,750
--------------
$14,750
and they have to pay for the ticket production at the beginning.
this is not really well defined, but I assume the following :
C(20) = 4500 + 6x
x = units of 10,000 tickets (because of the functional argument of 20, and we have to deal with 200,000 tickets).
that means the cost for these 200,000 tickets is then
4500 + 6×20 = $4,620
$4,500 are fixed costs insurgent of the number of tickets (like for creating the design, configuring the printing machines for the design, ...).
and 6×20 = $120 are the cost of actuality printing the tickets ($6 per 10,000 ticket prints).
so, the total expenses are
$14,750 + $4,620 = $19,370
under the assumption they can sell all 200,000 tickets to just break even, the prize for each ticket must be
19,370 / 200,000 = $ 0.09685 ≈ $0.10
if my assumptions are wrong, please adapt the numbers in the calculations i showed you here.
for example, what if the x in the printing cost is per ticket and not per 10,000 tickets ?
then the printing costs would be
4500 + 6×200000 = $1,204,500
and the total expenses would be
$14,750 + $1,204,500 = $1,219,250
and the prize per ticket would have to be
1,219,250 / 200,000 = $ 6.09625 ≈ $6.10
The total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.
Amount calculationGiven that to raise money for malaria research the New York City Rotary Club is going to sell 200,000 raffle tickets, and one ticket will have an 8000 dollar prize attached to it, while ten tickets will have a 300 dollar prize attached to it, and seventy-five tickets will have a 50 dollar prize, to determine what is the total amount of all the prize money and what should be the price of each of the 200,000 raffle tickets in order to break even, the following calculation must be made:
1 x 8000 + 10 x 300 + 75 x 50 = X8000 + 3000 + 3750 = X14750 = X14750 / 200000 = Z0.07375 = ZTherefore, the total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.
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HELP RN PLEASE I NEED THE ANSWER RIGHT NOW IM BEING TIMED
Answer:
1. 3.33
2. 8.75
3. 4.8
4. 2.5
Step-by-step explanation:
divide the numbers.
Does this graph show a function? Explain how you know.
• A. No; there are y-values that have more than one x-value.
B. No; the graph fails the vertical line test.
• c. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
A graph that shows a function must pass the vertical line test
The true statement is (b) No; the graph fails the vertical line test.
How to determine if the graph shows a function?
For a graph to show a function, the graph must pass the vertical line test
The given graph do not pass the vertical line test;
This is so because, a line drawn from the x-axis would touch the graph at at least two different points
Hence, the true statement is (b) No; the graph fails the vertical line test.
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Solve the equation.
x^2 − 6 + 34 = 0
Answer:
[tex]x=6-\sqrt{ -100}/2=3-5i=3.0000-5.0000i\\x=6+\sqrt{-100} )/2=3+5i=3.0000+5.0000i[/tex]
Step-by-step explanation:
Step 1: Trying to factor by splitting the middle term
The first term is, x² its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is +34
Step-1 : Multiply the coefficient of the first term by the constant 1 • 34 = 34
Step-2 : Find two factors of 34 whose sum equals the coefficient of the middle term, which is -6 .
-34 + -1 = -35
-17 + -2 = -19
-2 + -17 = -19
-1 + -34 = -35
1 + 34 = 35
2 + 17 = 19
17 + 2 = 19
34 + 1 = 35
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1:
x² - 6x + 34 = 0
Parabola, Finding the Vertex:
Find the Vertex of y = x^2-6x+34
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 3.0000
Plugging into the parabola formula 3.0000 for x we can calculate the y -coordinate :
y = 1.0 * 3.00 * 3.00 - 6.0 * 3.00 + 34.0
or y = 25.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-6x+34
Axis of Symmetry (dashed) {x}={ 3.00}
Vertex at {x,y} = { 3.00,25.00}
Function has no real roots
Solve Quadratic Equation by Completing The Square
Solving x2-6x+34 = 0 by Completing The Square .
Subtract 34 from both side of the equation :
x2-6x = -34
Now the clever bit: Take the coefficient of x , which is 6 , divide by two, giving 3 , and finally square it giving 9
Add 9 to both sides of the equation :
On the right hand side we have :
-34 + 9 or, (-34/1)+(9/1)
The common denominator of the two fractions is 1 Adding (-34/1)+(9/1) gives -25/1
So adding to both sides we finally get :
x2-6x+9 = -25
Adding 9 has completed the left hand side into a perfect square :
x2-6x+9 =
(x-3) • (x-3) =
(x-3)2
Things which are equal to the same thing are also equal to one another. Since
x2-6x+9 = -25 and
x2-6x+9 = (x-3)2
then, according to the law of transitivity,
(x-3)2 = -25
We'll refer to this Equation as Eq. #2.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-3)2 is
(x-3)2/2 =
(x-3)1 =
x-3
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
x-3 = √ -25
Add 3 to both sides to obtain:
x = 3 + √ -25
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Since a square root has two values, one positive and the other negative
x2 - 6x + 34 = 0
has two solutions:
x = 3 + √ 25 • i
or
x = 3 - √ 25 • i
Solve Quadratic Equation using the Quadratic Formula
2.3 Solving x2-6x+34 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -6
C = 34
Accordingly, B2 - 4AC =
36 - 136 =
-100
Applying the quadratic formula :
x = 6 ± √ -100/2
In the set of real numbers, negative numbers do not have square roots. A new set of numbers, called complex, was invented so that negative numbers would have a square root. These numbers are written (a+b*i)
Both i and -i are the square roots of minus 1
Accordingly,√ -100 =
√ 100 • (-1) =
√ 100 • √ -1 =
± √ 100 • i
Can √ 100 be simplified ?
Yes! The prime factorization of 100 is
2•2•5•5
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 100 = √ 2•2•5•5 =2•5•√ 1 =
± 10 • √ 1 =
± 10
So now we are looking at:
x = ( 6 ± 10i ) / 2
Two imaginary solutions :
x =(6+√-100)/2=3+5i= 3.0000+5.0000i
or:
x =(6-√-100)/2=3-5i= 3.0000-5.0000i
Two solutions were found :
x =(6-√-100)/2=3-5i= 3.0000-5.0000i
x =(6+√-100)/2=3+5i= 3.0000+5.0000i
CAN SOMEBODY HELP ME SOLVE THE EQUATION
Answer:
72.6
Step-by-step explanation:
y = 3.23x + 33.86
y = 3.23 (12) + 33.86
y = 38.76 + 33.86
y = 72.62
Hope this helps!
Zoe has $45. She needs to buy a dress pattern for $12 and fabric that costs $9 per yard. What is the maximum number of yards of fabric can she buy?
45-12=33
then divide 33 by 9: 33÷9=3.66666666 repeating forever. you can round up to 3.7.
8 + X = 14 what does X equal to?
Answer:
x=6
Step-by-step explanation:
Rearrange terms:
8+x=14
x+8=14
Subtract 8 from both sides and simplify.
Given :-
8 + X = 14To find :-
The value of XSolution :-
8+x = 14
Transferring 8 to Right sidex = 14-8 (Signs change when transferred to opposite side)
x = 6
You spin the spinner once.
2,3,4,5,6,7
What is P(6)?
Write your answer as a fraction or whole number.
Helps pls i did 120 questions
Answer:
1/6
Step-by-step explanation:
it is like a cube just with slightly different numbers on each side. but the probabilty structure is still the same.
we have 6 different possible outcomes, all with the same basic probabilty (as every field on the spinner is seemingly of the same size as the others).
and we desire one of these possible outcomes (6).
so the probabilty to get 6 is still 1/6 (1 desired over 6 possible outcomes).
There is an animal farm where chickens and cows live. All together, there are 92 heads and 256 legs. How
many chickens and cows are there on the farm?
show your work!
Answer:
56 Chickens
36 Cows
Step-by-step explanation:
You can set this up as a system of equations:
(x=chickens, y=cows)
[tex]\left \{ {{92 = x+y} \atop {256=2x+4y}} \right. \\[/tex]
To solve this system, first we can solve for x in the top equation:
[tex]x=92-y[/tex]
Next, we can plug in x to the second equation and solve for y:
[tex]256=2(92-y)+4y\\256=184+2y\\2y=72\\y=36[/tex]
And now that we have y, we can plug it into the first equation and solve for x:
[tex]92=x+36\\x=56[/tex]
PLEASE HELP PLEASE PLEASE PLEASE HELP
If a certain recipe takes 1 1/2 cups of flour and 2 cups of milk, how much milk should be added if the cook only has 1 cup of flour?
Answer:
1 1/3 cups of milk
Step-by-step explanation:
In our recipe
For every 1 1/2 cups of flour we need 2 cups of milk
then the flour and milk are two proportional quantities
1 1/2 ————-> 2
We know that 1 1/2 = 1/2 + 1/2 + 1/2 then
1/2 + 1/2 + 1/2 ————-> 2
Then (we divide both sides by 3)
1/2 ————-> 2/3
Then (we multiply both sides by 2)
1 ————-> 4/3
finally , 4/3 = 1 1/3
PLEASE HELP ME please
Answer: 4n-7
Step-by-step explanation:
Solve completely (all missing angles and all missing sides) using ratios or laws round to the nearest tenth.
Answer:
Angle u is 52
Step-by-step explanation:
I only know this
52 because internal angle of triangle is 180 subtract 90 and 38 from 180 and you will get 52
A model rocket is launched 25 feet from you. When the rocket is at height h, the distance d between you and the rocket is given by d = 625 + h2 where h and d are measured in feet. What is the rocket's height when the distance between you and the rocket is 100 feet?
Answer:
iam thinking the answer is ""-262,5ft""
The height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.
What is the height?The height is a vertical distance between two points. It is given that A model rocket is launched 25 feet from you. When the rocket is at height h, the distance d between you and the rocket is given by d = 625 + h² where h and d are measured in feet.
The height will be calculated by forming the two equations from the given data in the question.
25 = 625 + h²
100 = 4 ( 625 + h² )
100 = ( 2500 + 4h² )
By solving both the equations:
100 - 25 = 2500 - 625 + 4h² - h²
3h² = 1800
h = √600
h = 24.49 feet
Therefore the height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.
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Find the surface area of the composite figure. 3 cm 12 cm 2 cm 6 cm 10 cm 8 cm SA =
Answer:
Pls try to send ur questions the right way and ask again attaching the picture of the figure. Otherwise, there is no way to solve
What is X when 19,695 divided by X-15,605 = 100
Step-by-step explanation:
[tex] \frac{19695}{x - 15605} = 100[/tex]
[tex]19695 = 100(x - 15605)[/tex]
[tex]19695 = 100x - 1560500[/tex]
[tex]19695 + 1560500 = 100x[/tex]
[tex]15801 95 = 100x[/tex]
[tex] \frac{1580195}{100} = x[/tex]
[tex]x = 15801.95[/tex]
Write an equation of the line in slope-intercept form.
y =
Answer:
y=1/4x+3
Step-by-step explanation:
You can find the slope by starting at the point (4,2), then using "rise over run" you can count up(rise) 1, then side(run) 4. So the slope, or "m" would be 1/4x. The B value is the y Intercept, and the y Intercept is (0,3) so you would write it as 3 in the equation.
8. An angle that contains 126° 32' is a/an Angle
angle.
A. straight
B. obtuse
C. right
D. acute
Answer:
B Angle obtuse Since 126o 32 ' is bigger 90o but smaller than 180o.
Step-by-step explanation:
Acute: An angle that measures < 90o.
Right: An angle that measures 90o.
Obtuse : An angle that is > 90o but < 180o.
Straight: An angle that measures 180o.
What is the simplified form of V10,000 ,
100x³²
..................
show complete solution
Step-by-step explanation:
You can find the complete solution
You should use cross multiplication to solve
I hope it helped you
Is 10 times as much as 0.007
Answer:
10 x 0.007 = 0.07
Step-by-step explanation:
im not sure if thats what you meant
In a study of the performance of a new engine design, the weight of 22 aircrafts (in tons) and the top speed (in mph) were recorded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below.
Part A: What is the LSRL based on the analysis provided? Make sure to identify what the variables represent in the context of the problem. (4 points)
Part B: What is the predicted value for the top speed of an aircraft if its weight is 100 tons? Show your work. (6 points)
The LSRL is the Least Squares Regression Line of the new engine design performance
The LSRL is: y = 11.6559 + 3.47812x The predicted top speed when the weight is 100 tons is 359.4679How to determine the LSRL?This is the equation of the Least Squares Regression Line.
From the calculation summary, we have the following parameters:
Coefficient of constant = 11.6559Coefficient of Weight = 3.47812So, the LSRL is:
y = 11.6559 + 3.47812x
Where y represents the predicted volume and x represents the weight.
The predicted value when the weight is 100 tonsIn (a), we have:
y = 11.6559 + 3.47812x
Substitute 100 for x
y = 11.6559 + 3.47812 * 100
Evaluate
y = 359.4679
Hence, the predicted top speed when the weight is 100 tons is 359.4679
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Pat can drive 36 kilometers for every 3 liters of gas they put in their car.
Complete the table using equivalent ratios.
Kilometers
Liters
36
3
48
132
Answer:
Step-by-step explanation:
This is a proportion question which is 2 ratios which are equal to one another. If 3 of the 4 parts are known, the 4th part can be calculated.
36 liters.
36 km/3 Liters = x / 36 multiply both sides by 36
36*36 / 3 = x
1296/3 = x
x = 432 km
So on 36 L he can go 432 km
3 liters
Given as 36 km
48 liters
36km/3 liters = x / 48 liters Multiply both sides by 48
48*36/3 = x
576 km = x
So on 48 liters, he can go 576 km
132 liters
36 km/ 3 liters = x/132
x = 1564 km
On 132 liters Pat can go 1564 km
Help again please 33 points
Answer:
the answer is 56in2
Step-by-step explanation:
[tex]b = 14in \\ h = 8in \\ area \: of \: triangle = \frac{1}{2} b \times h \\ = \frac{1}{2} \times 14 \times 8 \\ = 56inches[/tex]
he conic section below is
x
a. a circle
b. an ellipse
C. a parabola
d. a hyperbola
e. a degenerate
Enter
Answer: Degenerate
Step-by-step explanation:
This conic section (intersecting lines) is a degenerate
The conic section is degenerate.
The correct option is (e).
What is Conic?Any curve produced by the intersection of a plane and a right circular cone.
As, the given figure shows a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.
Hence, the conic section is degenerate.
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At lunch a waiter had seven customers and two of them didn’t leave a tip.If he got seven each from the ones who did tip how much money did he earn?
Answer:
$35
Step-by-step explanation:
7 customers - 2 who didn't tip = 5 who did tip
$7 from those who did tip * 5 ppl who tipped = $35 earned
3/4 x (z^3 x 4) answer
Answer:
[tex]3z {}^{3} \times 12[/tex]
[tex]36z {}^{3} [/tex]
pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9
Answer:
5x(squared)-4x+1
2x(squared)+11xy+14
7x(squared)+7xy+3x-17
Step-by-step explanation:
) What is the volume of the container?
10 Inches
5 inches
12 inches
>) 27 cubic
60 cubic
inches
120 cubic
inches
600 cubic
inches
inches
shine
>
Answer:
600in³
Step-by-step explanation:
the equation for volume is:
V=s*3
(s is a varible which means LengthxHeightxWidth)
step 1
V= (10")(5")(12")
then it equals your answer
up above is the answer.
Hope it help you out.
Don't forget to label.
The volume of a cylinder is 1,0297 cubic
centimeters. The height of the cylinder is
21 centimeters. What is the radius, to the
nearest centimeter, of the cylinder?
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=10297\\ h=21 \end{cases}\implies 10297=\pi r^2(21)\implies \cfrac{10297}{21\pi }=r^2 \\\\\\ \cfrac{1471}{3\pi }=r^2\implies \sqrt{\cfrac{1471}{3\pi }}=r\implies 12\approx r[/tex]