Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $25. The venue has the capacity to hold 400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise at least $5,000 for her school
What is the minimum number of pre-sale tickets she needs to sell to make her goal?
333
66
67
Answers
Answer:
67
Explanation:
Let us assume that Anna sells x number of pre-sale tickets and y number of at-the-door tickets.
Since, total capacity of the venue is 400, so we can write x + y = 400 ...... (1)
Now, given that each pre-sale ticket costs $10 and each at-the-door ticket costs $25, and the total funds she needs to raise is $5000
So, we can write 10x + 25y = 5000, ⇒ x + 2.5y = 500 .... (2)
Now, solving equations (1) and (2) we get,
(2.5 - 1)y = 500 - 400 = 100
⇒ 1.5y = 100
⇒ y = 66.67
Hence, from equation (1) we get, x = 400 - 66.67 = 333.33
Since Y can't be a fraction and it can not be < 66.67 (Otherwise the goal of $5000 can not be achieved)
So, the minimum number of at-the-door ticket she needs to sell to make her goal is 67.
The minimum number of pre-sale tickets she needs to sell to make her goal are 333.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $25. The venue has the capacity to hold 400 people.
We can write the equations representing the given situation as -
10x + 25y = 5000 ....... Eq{1}
x + y = 400 ....... Eq{2}
where [x] represents the number of people who bought the pre-sale tickets for $10 and [y] represents the number of peoples who bought at-the-door tickets.
So, we can write -
x = (400 - y)
So, we can write -
10(400 - y) + 25y = 5000
4000 - 10y + 25y = 5000
15y = 5000 - 4000
15y = 1000
y = 66.67
So, we get -
x = 400 - 66.67
x = 333.34
x = 333 {approx.}
Therefore, the minimum number of pre-sale tickets she needs to sell to make her goal are 333.
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Related Questions
Bert and Ernie ran the 100-meter
dash. The difference of their times
was 1.5 s. If Bert won the race in a
time of 12.6 s, what was Ernie's
time?
Answers
Answer:
the answer is 14.1 because it says that ernie lost so it must be addition so it is 14.1
Step-by-step explanation:
plz answer this correctly.....plzzzzz quickly......:)
<3.....
Answers
Answer:
31.01, 180.8, 0.2, 15501
Step-by-step explanation:
Puzzle 1:
The first rule takes out 301
The second rule has to have a 1 in the units place so that takes out 3.1, 3.101, and 30.1
The 3rd rule takes out 1.01, and 1.03
Rule 4, is self explanatory, so it takes out 31.3
and the last rule takes out 31.1 bc there is no hundredths column
That leaves you with 31.01
Puzzle 2:
Rule 1 takes out 18180
Rule 2, self explanatory, takes out 180
Rule 3 takes out numbers less than 18 so 1.81 and 0.18
Rule 4 takes out 18.01, 1800, 188, and 18.8
That leaves you with 180.8
Puzzle 3:
Rule 1 takes out 0.24, 0.5, and 2.02
Rule 2 takes out 0.15
Rule 3 takes out 0.02, 0.01 and 0.1 (bc it just says greater than and not equal to so it takes this one out)
Rule 4 takes out 0.12
That leaves you with 0.2
Puzzle 4:
Rule 1 takes out 45000
Rule 2 takes out 5401, 5444, and 4544
Rule 3 takes out 5454
Rule 4 does not take out any because all the remaining numbers ( 14500, 15501, 14534, and 10500) have 5 hundreds
Rule 5 takes out 14500, 14534, and 10500
That leaves you with 15501
Hope this helped :)
The sum of a number times 6 and 17 is at most 21.
Answers
Answer:
? that makes no sense
Step-by-step explanation:
Answer:
n × 6 + 17 ≤ 21
if 12x-118=98 what is x
Answers
Answer:
x = 18
Step-by-step explanation:
add 118 to both sides
12x = 216
divide by 12
x = 18
A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.
What is the cost of a 3-mile ride?
$1
$10
$12
$14
Answers
Answer:
The answer is 14
Step-by-step explanation:
The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.
What is the value of x?
Enter your answer in the box.
x =
Equiangular triangle A B C. Angles A, B, and C are marked congruent. The length of side A C is labeled as 3 x plus 6. The length of side A B is labeled as 6 x minus 3. The length of side B C is labeled as 5 x.
Answers
Answer:
x=3
Step-by-step explanation:
took the quiz
Answer:
x=3
Step-by-step explanation:
Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice. Two Brands of Juice Brand A Brand B 12 ounces 8 ounces $2.55 $1.45 She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?
Answers
Answer:
Brand A costs approximately $0.21 per ounce
Brand B costs approximately $0.18 per ounce
Step-by-step explanation:
the rate can be regarded as the change in one entity with respect to the other
From the question, we know brand A
$ 2.55 for 12 ounces of juice, to Know the cost of single once of the juice is
($ 2.55/12ounce)
=$ 0.2125
But the conversation rate for dollar to cent is (1 dollar = 100 cents)
Then to convert $ 0.2125 to cent, we can say
1 dollar = 100 cents
$ 0.2125 =X cent , if we cross multiply we have
= 21.25 cents
Which is approximately 21 cents.
From the question, Brand B cost $ 1.45 for 8 ounces of juice.
to Know the cost of single once of the juice is ( $ 1.45/8 ounce)
=$ 0.18125
We can convert to cent like we did above
1 dollar = 100 cents
$ 0.18125 =X cents, if we cross multiply, we have
= 18.125 cents
which is approximately: 18 cents
Therefore, the true statement about the unit rate are"Brand A costs approximately $0.21 per ounce
Brand B costs approximately $0.18 per ounce"
7.) Y 2 x 1
5
w ay
H
2-
1
+
7
+
2 3
1
- 1
1
-6
-5 -4 -3 2
4
-3
-S
Answers
Answer:
Step-by-step explanation:
The equation of line is y = ( 1/4 )x - 1 , where the slope is m = ( 1/4 ) and the graph is plotted
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = ( 1/4 )x - 1
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 1/4
The y-intercept of the line is b = -1
The graph of the line y = ( 1/4 )x - 1 is plotted
Hence , the equation of line is y = ( 1/4 )x - 1
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a bag contains 6 white marbles and 4 black marbles. a marble is drawn from the bag and then a second marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a black marble on the second?
Answers
Answer:
4/15
Step-by-step explanation:
Probability = 6/10 x 4/9 = 4/15
Topic: Probability
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The probability of drawing a white marble on the first draw, followed by a black marble on the second is 4/15.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of drawing a white marble on the first draw, followed by a black marble on the second = (number of white marbles / total number of marbles) x (number of black marbles / total number of marbles - 1)
6/10 x 4/9 = 24/90 = 4/15
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given the function g(x)=10x-2
what is g(7)?
Answers
Answer:
g(7)=68
Step-by-step explanation:
Answer:
68
Step-by-step explanation:
10(7)-2
70-2
68
Pls answer fast thx
Answers
The distance between the point (- 5 ,-2) and y-axis is
length unit.
(a) - 5
(b) – 2
(c) 2
(d) 5
Answers
hi, I think the answer is c, but I need some help to be sure.
will give brainliest.
Answers
Answer:
Yes, it's c.
Step-by-step explanation:
3 to the 0th power is 3x3 zero times. It's zero. 0 to the 26th power is just 0x0 26 times. It's just 3x3 0 times multiplied with 0x0 26 times.
please help me im stuck
Answers
Answer:
a = -0.5
Step-by-step explanation:
[tex] \rm Solve \: for \: a: \\ \rm \longrightarrow - \dfrac{1}{4}a - 4 = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: - \dfrac{1}{4}a - 4 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm - \dfrac{a}{4} - 4 = - \dfrac{a}{4} - \dfrac{16}{4} : \\ \rm \longrightarrow - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{ - a - 16}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: \dfrac{7}{4}a - 3 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm \dfrac{7a}{4} - 3 = \dfrac{7a}{4} - \dfrac{12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a}{4} - \dfrac{12}{4} \\ \\ \rm \dfrac{7a}{4} - \dfrac{12}{4} = \frac{7a - 12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a - 12}{4} \\ \\ \rm Multiply \: both \: sides \: by \: 4: \\ \rm \longrightarrow \dfrac{ - a - 16}{ \cancel{4}} \times \cancel{4}= \dfrac{7a - 12}{ \cancel{4}} \times \cancel{4} \\ \\ \rm \longrightarrow -a - 16 = 7 a - 12 \\ \\ \rm Subtract \: 7 a \: from \: both \: sides: \\ \rm \longrightarrow (-a - 7 a) - 16 = (7 a - 7 a) - 12 \\ \\ \rm -a - 7 a = -8 a: \\ \rm \longrightarrow -8 a - 16 = (7 a - 7 a) - 12 \\ \\ \rm 7 a - 7 a = 0: \\ \rm \longrightarrow -8 a - 16 = -12 \\ \\ \rm Add \: 16 \: to \: both \: sides: \\ \rm \longrightarrow (16 - 16) - 8 a = 16 - 12 \\ \\ \rm 16 - 16 = 0: \\ \rm \longrightarrow -8 a = 16 - 12 \\ \\ \rm 16 - 12 = 4: \\ \rm \longrightarrow -8 a = 4 \\ \\ \rm Divide \: both \: sides \: of \: -8 a = 4 \: by \: -8: \\ \rm \longrightarrow
\dfrac{ - 8a}{ - 8} = \dfrac{4}{ - 8} \\ \\ \rm \dfrac{ - 8}{ - 8} = 1: \\ \rm \longrightarrow a = - \dfrac{4}{ 8} \\ \\ \rm - \dfrac{4}{ 8} = - \dfrac{1}{2} : \\ \rm \longrightarrow a = - \dfrac{1}{2} \\ \\ \rm \longrightarrow a = - 0.5[/tex]
5-5 Medians and Altitudes
Triangle EFG has an incenter and orthocenter of D. What kind of triangle is triangle EFG?
A. Right
В.
Isosceles
C. Scalene
D
Equilateral
Answers
Answer: D Equilateral
Step-by-step explanation: Center of a triangle is a point where lines intersect. There 4 most popular: centroid, circumcenter, orthocenter and incenter.
Altitude or Height of a triangle is a perpendicular line is draw from a vertex to the opposite side. There are 3 heights and they united (or intersect) at a point called Orthocenter
Incenter is a point where the three angle bisectors meet. Angle bisector is a line that divide the angles of the triangle in two equal angles.
Generally, each center is positioned at a different location on the triangle (in one example, the point is located outside the triangle).
However, there is a case in which incenter and orthocenter are coincidental. That case is for a equilateral triangle, a triangle whose angles and sides are the same.
Please help me my homework is due tomorrow use the screen shot
Answers
Answer:
1/5
Step-by-step explanation:
(5^7*5^5)/5^13 (when multiplying numbers with the same base, add the exponents)
= (5^12)/5^13 (when dividing exponents with the same base, subtract the exponents)
= 1/5^1 (anything to the first power is itself)
= 1/5
Carl buys seven 5-gallon jugs of water for the water cooler. How many liters of water did Carl buy? Show your work.
Answers
Answer:
18.9271 liters
Step-by-step explanation:
i googled it
Please help me with this question
Answers
Answer:
First Row: Given
Second Row: Definition of Regular Polygon
Third Row: Definition of Congruence In Terms of Rigid Motion
Fourth Row: Definition of Regular Polygon
Fifth Row: SAS Triangle Congruence Theorem
Sixth Row: CPCTC
Step-by-step explanation:
This is a basic proof in order to prove that verticals of a polygon are congruent. This should be the right answer since it's the only thing that makes sense to me. I really hope this helps you and thanks for being patient! I've been doing geometry and we have to prove everything we claim in a proof just like this one. However, there was one I kind of guessed on (the third row), but I think it should be correct! I saw from the photo that you have a check answer on the bottom of your screen. Just check the answers that I have for you now and if something is wrong, then we can continue talking about it! Hope this helps!! :)
If an object is shot upward with an initial velocity, v0, in feet per second (ft/s), the velocity, v, in ft/s is given by the formula v=v0−32t, where t is time in seconds. Find the initial velocity of an object if the velocity after 2 seconds is 39ft/s.
Answers
Answer:
96m/s
Step-by-step explanation:
Given the velocity, v, in ft/s of an object given by the formula v=v0−32t,
Given
V = 39ft/s
t = 2secs
Required.
Initial velocity v0
Substitute the given parameters into the formula
v=v0−32t,
32 = v0-32(2)
v0 = 32+64
v0 = 96m/s
Hence the initial velocity of the object is 96m/s
In a litter of five puppies, what is the probability of getting
two males and three females, assuming an even chance for
each gender?
1
(A) 32
(B) 0.031
1
(C) 16
5
(D) 16
(E) 4
Answers
Answer:
5/16
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Let's say r is the number of male puppies.
n = 5, r = 2, p = 0.5, and q = 0.5.
P = ₅C₂ (0.5)² (0.5)³
P = 5/16
The probability of getting two males and three females, assuming an even chance for each gender is [tex]\frac{5}{16}[/tex].
Given that,
In a litter of five puppies.There is two males and three females, assuming an even chance for each gender.Based on the above information, the calculation is as follows:
Here we use binomial probability:
[tex]P = ^nC_r p^r q^{n-r}[/tex]
Here n denotes the number of trials,
r denotes the number of successes,
p denotes the probability of success,
and q denotes the probability of failure (1−p).
Let's us assume the r be the number of male puppies.
Now
n = 5, r = 2, p = 0.5, and q = 0.5.
So, put the values
So,
[tex]P = ^5C_2 (0.5)^2 (0.5)^3[/tex]
= [tex]5 \div 16[/tex]
Therefore we can conclude that the probability of getting two males and three females, assuming an even chance for each gender is [tex]\frac{5}{16}[/tex].
Learn more: brainly.com/question/24169758
21x/2 = 2(x-1)+3
I need this quick if that’s ok
Answers
multiply both sides by 2
21x/2 · 2=2x·2+1·2simplify
21x=4x+2subtract 4x from both sides
21x- 4x=(4x)+2-(4x)divide both sides by 17
17x=217 17simplify
x=2/17Solve for -12=z divided by 3 for z
Answers
Answer: z = -36
Step-by-step explanation:
HURRY UP IF YOU ANSWER THIS QUESTION CORRECT I WILL NAME YOU BRAINLY WHAT IS 129 SQUARED
Answers
Answer:
11.3
Step-by-step explanation:
Answer:
16641
Step-by-step explanation:
129 x 129=16641
HTH :)
I need help answering this question
Answers
Answer:
A
Step-by-step explanation:
If you plug in 3 to both values of x, we would get both side lengths of 8. We know this is an equivalent triangle because the angles are all the same.
Answer:
Step-by-step explanation:
3x -1 = x+5
-2x = -6
x = 3
what is 100000x62728
Answers
Answer:
6272800000
Step-by-step explanation:
Use long multiplication to evaluate.
a ... b... c... d....
Answers
Answer C
Step-by-step explanation:
C because 4i = 5
help me, please
-31.5 = -6b, b = ?
Answers
Answer:
b=5.25
Step-by-step explanation:
Divide both sides. by -6.
-31.5/-6 = 5.25
b= 5.25
Jane worked for 10 hours on the weekend. She was paid $7.00 per hour. How much Medicare tax was withheld from her paycheck if the tax rate is 1.45%?
Answers
Answer:
The Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.
Step-by-step explanation:
First, you have to determine the amount that Jane earned by multiplying the amount she earns per hour for the number of hours she worked:
$7*10=$70
Then, you need to calculate 1.45% of $70:
$70*1.45%=$1.015
According to this, the answer is that the Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.
An employee took 5 vacation days bringing his new vacation day balance to 8 days.Which equation can be used to find, x, the number of vacation days the employee had before using 5 vacation days?
Answers
Answer:
[tex]x + 5 = 8[/tex]
Step-by-step explanation:
Given
[tex]Total = 8[/tex]
[tex]Additional\ Vacation = 5[/tex]
Required
Determine the equation to find initial days of vacation
This is represented with x.
To get a total of 8 days vacation, we must have the following expression.
[tex]Initial\ Days + Additional\ Days = Total[/tex]
Substitute values for initial days, additional days and total. So, we have
[tex]x + 5 = 8[/tex]
Hence, the required expression is: [tex]x + 5 = 8[/tex]
Please help ASAP! xoxo
Answers
Answer:
Neither
Step-by-step explanation:
None of them have the same angles as triange ABC.