PLEASE HELP!!! ALGEBRA! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?
Answers
Answer:
( c + a + s) = 5000
(10c + 20a + 15s) = 72000
c = 3s
Step-by-step explanation:
Number of tickets sold = 5000
Proceeds from ticket Sale = $72,000
Tickets for children 16 and younger = $10
Adults = $20
seniors 60 and older = $15
Let :
number of children, c ;
adults, a;
seniors, s,
There were 3 times more children than seniors at the concert ; c = 3s
Total number of attendees = 5000 ;
( c + a + s) = 5000
Total proceeds or revenue
(10c + 20a + 15s) = 72000
Related Questions
What is the value of x?
Answers
The value of x in the given polygon is 31 degrees.
What are exterior angles?An exterior angle is an angle created by the expansion of the neighboring side and one of the sides of a closed shape construction, such as a polygon. Regardless of the number of sides in the polygons, the sum of the measures of the outside angles is equal to 360 degrees.
The sum of the exterior angle of any polygon is 360 degrees.
So,
360 = 57 + 41 + 82 +x + 62 + 87
360 = x + 329
x = 31
Hence, the value of x in the given polygon is 31.
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Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x)=_________
Answers
Answer:
Terms:
1) = 7/3
2) = -7/9
3) = 7/27
4) = -7/81
Step-by-step explanation:
Your question did not state the equation of f(x), however; assuming f(x) = 7/(1+x) ,....... at a = 2
see solution attached then use it to work your f(x)
i would really appreciate if someone could help me with this alll you have to do is order them in the correct order form least to greatest i would give you a brainly
Answers
Answer:
From least to greatest it is:
3.441, 4 4/9, 89/20, 4.93
How to explain the question?
\(y = 2( { \frac{5}{4} )}^{2} - 5( \frac{5}{4} ) - 3\)
Answers
Answer:
\(32\)
\(i \: hope \: it \: helps \: mate \\ enjoy \: your \: day \\ \gamma captainpower\)
HELP SUMMER ALGEBRA 2! the rest of the answer d is numerator and denominator of both fractions
Answers
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The denominators of the two fractions must be the same. To make that happen, Juan can multiply the second fraction by (x-2)/(x-2) -- the marked answer choice -- and multiply the first fraction by 3/3. These operations can be done in some order.
The offered choices suggest that treating the second fraction first is Juan's preferred choice.
multiply the second fraction by (x-2)/(x-2)PLEASE HELPPPP 10 points for its!!!!!!!!!!
Answers
Answer:
area of the square = (SIDE)2
=( 4)^2
= 16 answer
A rectangle has a perimeter of 90cm, if the width is 15cm find the length
Answers
Answer:
30 cm
Step-by-step explanation:
We Know
The formula for Perimeter of rectangle = 2 (L + W)
Perimeter = 90 cm
Width = 15 cm
Find the length.
We Take
90 = 2 (L + 15)
45 = L + 15
L = 30 cm
So, the length is 30 cm
True or false: The equation below is too complicated to use the "isolate the
radical, then square both sides" method to simplify.
Answers
Answer: False
=============================================================
Explanation:
The radical is one step away from being fully isolated. We would apply the rule that \(\frac{\sqrt{A}}{\sqrt{B}} = \sqrt{\frac{A}{B}}\)
In this case,
\(\frac{\sqrt{x+3}}{\sqrt{x-1}} = \sqrt{\frac{x+3}{x-1}}\)
Meaning that the equation
\(\frac{\sqrt{x+3}}{\sqrt{x-1}} =3\)
is the same as
\(\sqrt{\frac{x+3}{x-1}} = 3\)
From here, we square both sides and use algebra to isolate x.
given f(x)=5x+2 solve for x when g(x) =7
Answers
Answer:
37
Step-by-step explanation:
plsase help meeeeeee
Answers
Answer: I believe it's A
Hope this helped
DIRECTIONS: Circle the analogy that BEST matches the bold words.
1. QUART: GALLON
a) centimeter: meter
b) quart: cups
c) four: five
d) quarter: dollar
4. PENTAGON : POLYGON
a) rice : grain
b) aircraft: plane
c) five : sides
d) rhombus: circle
2. TRIMESTER : MONTHS
a) book: chapters
b) three: period
c) days: week
d) yearly: weekly
5. TRIDENT: THREE
a) spear : fork
b) Poseidon : Zeus
c) fishing : tool
d) duplex: two
Answers
Answer:
1. d)
4.a)
2.a)
5.d)
Step-by-step explanation:
Use the following information to answer the next six exercises. There are 23 countries in North America, 12 countries in South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean region). Let A = the event that a country is in Asia. Let E = the event that a country is in Europe. Let F = the event that a country is in Africa. Let N = the event that a country is in North America. Let O = the event that a country is in Oceania. Let S = the event that a country is in South America. What is the sum of the probabilities of an event and its complement?
Answers
Answer:
nosee la verdad
Step-by-step explation
Find the value of X
Answers
Answer:
16
Step-by-step explanation:
90=41+3x+1
Unit 3 Cumulative Assessment
What is the height, x, in the triangle below?
5
X
O A 2√5
OB. 5
O C. 5√2
OD. 10
10
Answers
The height, x, in the triangle is 0 units.
What to find perpendicular distance?
Perpendicular distance is a measure of the distance between a point and a line. It is the shortest distance between the point and the line, and it is always perpendicular to the line. The perpendicular distance is also known as the "altitude" or "height" in geometry.
In the triangle, the side OB is 5 units and the side OC is 5√2 units. The height, x, is the perpendicular distance from the vertex O to the line segment OB.
Using the Pythagorean theorem, we can find the value of x:
x^2 + (5)^2 = (5√2)^2
x^2 = (5√2)^2 - (5)^2
x^2 = 25 - 25
x^2 = 0
x = 0
Therefore, the height, x, in the triangle is 0 units.
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If you invest $3900 at a 7.84 simple annual interest rate, approximately how long will it take for you to have a total of $10,000
Answers
It would take approximately 19.94 years to accumulate a total of $10,000 from an initial investment of $3,900 at a simple annual interest rate of 7.84%.
To determine how long it will take to accumulate $10,000 from an initial investment of $3,900 at a simple annual interest rate of 7.84%, we can use the formula for simple interest:
I = Prt
where I is the interest earned, P is the principal or initial investment, r is the annual interest rate as a decimal, and t is the time in years.
To find the time required to reach a final amount of $10,000, we can rearrange the formula:
t = (I/P) / r
First, we need to calculate the interest earned on the initial investment:
I = Prt
I = (3900)(0.0784)t
I = 305.76t
To reach $10,000, we need to earn an additional $10,000 - $3,900 = $6,100 in interest. So we can set up the equation:
6100 = 305.76t
Solving for t, we get:
t = 6100 / 305.76
t ≈ 19.94 years
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In your own words, explain how horizontal and vertical
translations can affect the coordinates of the points of a
figure.
Answers
Answer:
if you were to get a answer you would have to put it in ur own words because some teachers come on here
Step-by-step explanation:
2x - 3y = 12
4x + 3y = 24
x = y =
Answers
Answer:
(X,Y) = (6,0)
Step-by-step explanation:
¿Cuantas permutaciones pueden hacerse con la palabra columna?
Answers
Answer:
Se pueden hacer 5040 permutaciones con la palabra COLUMNA.
Explanation:
La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.
La formula es:
P_^{n}: n!
Donde n son todos los elementos.
Factor into linear factors: \(x^{2} +16\)
Answers
\(~~x^2+16\\ \\=x^2-(-16)\\\\=x^2-(4i)^2\\\\=(x+4i)(x-4i)\)
Answer:
(x + 4)(x + 4)Step-by-step explanation:
Given expression:
x² + 16Clearly, 16 is a perfect square as 4 x 4 is 16.
Thus, this expression can be written as:
⇒ x² + 16⇒ x² + 4²Using the formula "a² + b² = (a + b)(a + b)"
⇒ x² + 4² ⇒ (x + 4)(x + 4)Jan owns a coffee shop. She is planning to hire Michael as a part-time employee at $8.50 per hour. She will also contribute $20 each week to a bonus fund, to be paid out at a later date. Michael cannot work more than 35 hours a week. How much will it cost Jan to hire Michael during his first 2-week pay period?
Answers
Answer:
635 dolalrs
Step-by-step explanation:
How many hours can Jan work in both weeks
35(2) = 70 hours
70 (8.50) = 595 dollars base salary.
Bonus each for both weeks = 2(20) = 40
595 + 40 = 635 dollars
Answer:
$595
Step-by-step explanation:
8.50x 70 hours= equal pay for 2 weeks without bonus pay
35 plus 35=70 hours
$595 without bonus
2(35x8.5) + 2(20)=636 (with bonus)
Without bonus 2(35x8.50)=595
Alisha asked 120 students what kind of pet they liked the most. Exactly 45% of the students said they liked dogs best. What is the tottal number of students who said they liked dogs best?
Answers
Answer:
54 students
Step-by-step explanation:
45% of 120 is 54
45% = 0.45
Then you want to multiply the number in the question by the percentage in decimal form:
120 x 0.45
Then solve this expression:
120 x 0.45 = 54
Therefore 54 students like dogs best
Ms. Phillips has a class of 18 students. She can spend $22 on each student to buy math supplies for the year. She first buys all of her students calculators, which costs a total of 83.52. After buying the calculators, how much does she have left to spend on each student?
Answers
Answer:
17.36
Step-by-step explanation:
18×22=396
396–83.52=312.48
312.48÷18=17.36
Help me please 10 pointsssss
Answers
Answer:
I think it may be a but I am not completely sure
Step-by-step explanation:
X = -1/2 , 3
Since it’s asking for the length, X would not be negative.
RS = 4X = 4*3 = 12
PLEASE HELP!!!!
I need to put it in slope intercept form
Answers
Answer:
your answer would be y=-1/2x-8
Step-by-step explanation:
how do you find how many pounds he used, and how many pounds did he use?
Answers
Answer:
I'm not too sure what you are referring too and I can't clearly see the image but I'll give you some tips!
One way to find out how many pounds he used is to add all the pounds you know he used (what is written down) or to multiply, divide, whatever is best for the situation
so yeah hope this helped!
The average of five numbers is 25. Four of the numbers are 19, 21, 24, and 25. Find the other number.
Answers
If average of five numbers is 25, the numbers are 19, 21, 24, 25. So, the other number is 36.
What is average of numbers?Average is a measure of central tendency that represents the typical or most common value in a set of numbers.
We know that the average of five numbers is 25, so,
Average = {Sum of the five numbers} ÷ 5
25 = (19 + 21 + 24 + 25 + x) / 5
where x is the unknown number we are trying to find.
Cross-multiply and simplify:
25 × 5 = 19 + 21 + 24 + 25 + x
125 = 89 + x
x = 36
Therefore, the fifth number is 36.
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Find the product of the complex number and its conjugate. 3 + 3i
18
9 - 9i
0
9 + 9i
Answers
Answer:
18 or A
Step-by-step explanation:
a+ai (a-ai)
Write a quadratic function in standard form, with a leading coefficient of 1, given x-intercepts 7 and 10. Use "y" as the dependent variable
and "x" as the independent variable.
Answers
Standard form of quadratic function with leading coefficient 1,
x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.
As given in the question,
Given :
y is the dependent variable of the required quadratic function.
x is the independent variable of the required quadratic function.
Leading coefficient of quadratic function is 1
X-intercept of the required function is 7 and 10
Standard form of required quadratic function is equal to
y = k (x-a)(x -b)
Here k=1 , a=7 , b=10
y = 1 (x -7)(x - 10)
⇒ y = x² -7x -10x +70
⇒ y= x² -17x +70
Therefore, standard form of quadratic function with leading coefficient 1, x-intercept 7 and 10 and y as dependent variable and x as independent variable is equal to y = x² -17x +70.
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"I think you have been doing a great job, but you haven't been signing many people up for our new service feature. I want you to set a goal of signing up 25% of your new customers for our new service feature."
Representative: "If I get 96 new customers that means I have to get __________ of them to sign up for the new service feature."
Answers
The perimeter of a rectangle is 70cm.
Its longest side has a length of 24cm.
State the length of the shortest side.
Answers
Answer:
11 ALSO SOMEONE PLS ANSWER MY QUESTION
Step-by-step explanation:
24+24=48
70-48=22
22/2=11