Chloe charged for admission to her play on three different nights. Each night, a
different number of people were in attendance, but remarkably, Chloe collected
S541 each night. If the admission charges for each child and each adult were $9
and S17, respectively, how many people in total came to the three showings?
Answers
Answer:
The number of people in total that came to the three showings is 138 people
Step-by-step explanation:
The amount Chloe collected each night for admission to her play = $541
The admission charge for each child = $9
The admission charge for each adult = $17
The number of people attending the play each of the three nights are different
Let x represent the number of children that attend the play on the first night and ley y represent the number of adults that attend, we have;
9·x + 17·y = 541
For the second night, we have;
9·a + 17·b = 541
For the third night, we have;
9·c + 17·d = 541
27·(x + a + c) + 51·(y + b + d) = 1,623
Using Microsoft Excel, where we create a series with the first term = 541 and the common difference, d = -9 and number the adjacent column serially from 1 to 61 and the on the right column we divide the created series by 17 then we search for the whole number combinations, we get three possible combinations as follows;
12 children and 26 adults
29 children and 17 adults
46 children and 8 adults
Therefore, the number of people in total that came to the three showings = 12 + 26 + 29 + 17 + 46 + 8 = 138
The number of people in total that came to the three showings = 138 people.
Related Questions
What are the coordinates of the point on the directed line segment from (3, -3) to
(7,5) that partitions the segment into a ratio of 5 to 3?
Answers
Answer:
(5.5, 2)Step-by-step explanation:
Points given:
(3, -3) and (7,5)Partition ratio:
5 to 3Formula for the point:
x = x1 + a/(a+b)×(x2 - x1) y = y1 + a/(a +b)×(y2 - y1)So the points are:
x = 3 + 5/(5+3)×(7-3) = 3 + 5/8×4 = 5.5y = -3 + 5/8×(5 - (-3)) = -3 + 5/8×8= 2Answer:
(5.5,2)
Step-by-step explanation:
Select the correct answer.
What are the values of x and y if this equation is true?
22(X+yi)+(28+4i)=72-62i)
Answers
Answer:
[tex]\huge\boxed{x=2\ and\ y=-3}[/tex]
Step-by-step explanation:
[tex]22(x+yi)+(28+4i)=72-62i\\\\22x+22yi+28+4i=72-62i\\\\(22x+28)+(22y+4)i=72-62i\Rightarrow22x+28=72\ \wedge\ 22y+4=-62\\\\22x+28=72\qquad|\text{subtract 28 from both sides}\\22x=44\qquad|\text{divide both sides by 22}\\\boxed{x=2}\\\\22y+4=-62\qquad|\text{subtract 4 from both sides}\\22y=-66\qquad|\text{divide both sides by 22}\\\boxed{y=-3}[/tex]
Find the value of x in each case. Give reasons to justify your solutions! XW ∥ YZ
Answers
Answer:
The answer is "19".
Step-by-step explanation:
In this question, the graph file is missing which is defined in the attached file please find it.
When YZ and XW were identical,
[tex]\angle XWY =\angle WYZ \ \ \text{(Alternate Angles)}[/tex]
[tex]\angle XWY = 2x[/tex]
Because the angles are all 180 degrees in either a triangle:
[tex]\to (3x - 5) + 90 + 2x = 180\\\\\to 3x - 5 + 90 + 2x = 180\\\\ \to 5 x + 85= 180 \\\\ \to 5 x = 180-85 \\\\ \to 5x = 95 \\\\ \to x= \frac{95}{5} \\\\ \to x = 19[/tex]
The answer above is accually correct, but always remember when submitting your answer to always put the degrees sign.
If
f(x) = x?+ 2x- 4
and
g(x) - 3x+ 1
Find
g(f(3) = [? }+x +
Answers
Step-by-step explanation:
(g o f)(x)
= g(x² + 2x - 4)
= 3(x² + 2x - 4) + 1
= 3x² + 6x - 11.
G(x) = 3x + 1
Find g(f(x))
- when it says g(f(x)), this means that you plug in the equation or value you were given for f(x) into EVERY x-value seen in the g(x) equation.
-in the g(x) equation (3x + 1) you were given ONE x-value.
So...
-you replace the x with the f(x) equation which is, x^2 + 2x - 4 (as shown below)
g(f(x)) = 3(x^2 + 2x - 4) + 1
• then distribute the 3 on the outside of the brackets with each number inside the bracket
= 3x^2 + 6x - 12 + 1
• add all the like terms up and you should get your final equation
= 3x^2 + 6x - 11 OR 3x^2 + 6x + (-11)
*Remember to always follow the BEDMAS or PEDMAS rule
I hope this helps. If you have any questions please let me know in the comment section.
Does 2x-x equal to 2x or x? I thought it would be x, but in a video I'm watching for school, it says 2x.
Answers
Answer:
i also would say x maybe school did a mistake
pls help it's probability and permutations and combination on khan academy
Answers
Step-by-step explanation:
Probability = (5C3 / 7C3) * 100%
= (10 / 35) * 100%
= 28.57%.
Can yall help me and thanks
Answers
Answer:
30x^11/y
Step-by-step explanation:
You multiply 10x^6y^-4 by 3x^5y^3 to get 30x^11/y
Answer: 30x^11/y
Step-by-step explanation:
how do i do this plz help
Answers
Answer:
its 60 bc 6-2÷180
4÷180=45
Perform the indicated operation. 13 – (-4) 1 -1 17 -17
Answers
Answer:
sorry about being late! 17, C
Step-by-step explanation:
It's 13+4 since there are two negatives.
Two negatives cancel out to a postive in math, so it becomes 13 + 4.
13+ 4
= 17
Chelsea is graphing the function f(x) = 20(One-fourth)x. She begins by plotting the initial value. Which graph represents her first step?
On a coordinate plane, the point (0, 0.25) is graphed.
On a coordinate plane, the point (0.25, 0) is graphed.
On a coordinate plane, the point (0, 20) is graphed.
On a coordinate plane, the point (20, 0) is graphed.
Answers
Here’s why:
You can rewrite the equation as y=1/4x+20 and 20 is an y-intercept point and the coordinate is (0, 20)
Remember that the coordinates are written (x,y).
Hope it helps!
Answer:
On a coordinate plane, the point (0, 20) is graphed.
Step-by-step explanation:
Edge
37 people want to ride on the bus to the museum. Each row of seats in the bus will
hold 4 people. How many rows of seats will it take to hold all 37 people?
9
8
10
12
Answers
Answer:
37/4
9.25
round of = 9
hope this will help
Answer:
10
Step-by-step explanation:
37 / 4 = 9.25
Round to 10 since there is a decimal.
all of them as single rational number
Answers
Answer: 2 is -1.25
Step-by-step explanation:
It’s MrBeast what’s 600+1 I’ll make brainliest.
Answers
Answer:
601
Step-by-step explanation:
Hmm... That question took me years to solve.
Answer:
600+1=6001
Step-by-step explanation:
because it just is ;)
Find the value of x. Diagram is not to scale
Answers
Answer:
b: 70
Step-by-step explanation:
45+45=90
24+24=48
The scale of the triangle is 2
35*2=70
y is inversely proportional to the square of x.
A table of values for x and y is shown.
Х| 1 2 3 4
Y| 4 1 4/9 1/4
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answers
Answer:
[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]
[tex]b) \: x = \frac{2}{5} [/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
Please help that would really make my day wayy better :)
Answers
Answer:
The answer to this is D. 64 feet
A company has an annual electric bill of $495,000. Of that amount, 3/5 was billed
during June, July, August, and September. On average, how much money was billed
during each of those four months?
A.
$34,750
B.
$74,250
C.
$139,000
D
$417.000
Answers
Answer:
$74,250
Step-by-step explanation:
495,000x0.6=297,000
297,000/4=74,250
the garden club purchased 264 tulips bulbs to plant for earth day.If each of the 24 club members planted an equal number of bulbs how many would each person get?
Answers
Answer:
11
Step-by-step explanation:
264/24=11
264 bulbs divided by 24 members equals 11 bulbs per member
Please help look at the picture attached
Answers
Answer:
17
Step-by-step explanation:
SOS! PLEASE HELP ME!!
The graph shows the cost of buying tickets to a concert.
a. What does the point (4,122) represent?
b.What is the unit rate?
c.What is the cost of buying 10 tickets?
Answers
Answer:
a) The point (4, 122) represents that the cost of 4 tickets is $122
b) The unit rate is 30.5 dollars per ticket
c) The cost of buying 10 tickets is $305
Step-by-step explanation:
Let us solve the question
From the given graph
∵ The x-axis represents the number of tickets
∵ The y-axis represents the cost of tickets in dollars
∴ The line represents the relationship between the number of tickets
and their cost
a)
∵ The point (4, 122) lies on the line
∴ x = the number of tickets
∴ y = their cost
∵ x = 4 and y = 122
∴ The cost of the 4 tickets is 122 dollars
∴ The point (4, 122) represents that the cost of 4 tickets is $122
b)
∵ The unit rate is the slope of the line
∵ The slope of the line = Δy/Δx, where
Δy = y2 - y1 Δx = x2 - x1∵ The line passes through points (0, 0) and (2, 61)
∴ x1 = 0 and x2 = 2
∴ y1 = 0 and y2 = 61
→ Substitute them in the rule of the slope above
∴ The slope of the line = [tex]\frac{61-0}{2-0}[/tex] = [tex]\frac{61}{2}[/tex] = 30.5
∴ The unit rate is 30.5 dollars per ticket
c)
∵ The linear equation is y = m x + b, where
m is the slope of the line b is the y-intercept (value y at x = 0)∵ m = 30.5 ⇒ the slope of the lone
∵ b = 0 ⇒ The line passes through the origin point (0, 0)
∴ The equation of the line is y = 30.5x
∵ x = 10 ⇒ number of tickets
→ Substitute x by 10 in the equation to find the cost of 10 tickets
∴ y = 30.5(10)
∴ y = 305
∴ The cost of buying 10 tickets is $305
PLEASE HELPP ❗️❗️
A rock climber descends 20 feet into a ravine and then ascends 15 feet
upward to retrieve a lost item. *
Your answer
Answers
Answer:
5 FT
Step-by-step explanation:
20-15=5
What is the number of cycles of y=1/8cos(5θ+π/6)+3 between 0 and 2π?
Answers
You are correct. The answer is B) 5.
This is because the period here is T = 2pi/5
Multiplying 5 with this period leads to 5*(2pi/5) = 2pi; showing that 5 full cycles occupy a total horizontal width of 2pi units (more specifically stretching from 0 to 2pi).
(03.02 MC)The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
plz explain your answer
Answers
Answer:
Juan
Step-by-step explanation:
The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
For Ana
Ana read 15% of her 46-page book.
= 15% × 46 pages
= 6.9 pages
For Hillary
Hillary read 11% of her 72-page book.
= 11% × 72 pages
= 7.92 pages
For Roger
Roger read 12% of his 68-page book.
= 12% × 68 pages
= 8.16 pages
For Juan
Juan read 14% of his 69-page book.
= 14% × 69 pages
= 9.66 pages
The person who can read greatest number of pages in a day also means the person who read the highest number of pages in a day.
From the calculation above, that person in JUAN because she can read 9.66 pages of her book in one day.
Answer:
juan or D
Step-by-step explanation:
took the test
find the solutions for this polynomial equation 3(x − 2)(x2 − 9)(x + 7) = 0
Answers
Answer: If the x2-9 is x^2-9, then this is the answer. If not and it's supposed to be 2x then the answer is x=2 or x=−7 or x=9/2
Step-by-step explanation:
3(x−2)(x2−9)(x+7)=0
3x4+15x3−69x2−135x+378=0
Step 1: Factor left side of equation.
3(x−2)(x+3)(x−3)(x+7)=0
Step 2: Set factors equal to 0.
x−2=0 or x+3=0 or x−3=0 or x+7=0
x=2 or x=−3 or x=3 or x=−7
6x + 3 - 6x = 3
After solving the equation, determine
what type of solution the answer is.
A. One Solution
B. No Solution
C. Many Solutions
Answers
Answer:
0
Step-by-step explanation:
all real numbers are solutions
B. No solution
Step by step explanation:
6x+3-6x=3
6x-6x=0
0=0
The soccer coach wants to take the team out for pizza after the game. He wishes to spend no more than $60. Large pizzas, p, cost $12 each and sodas, s, cost $1.25 each.
Answers
Answer:
i will solve it below
Step-by-step explanation:
12.00 + 1.25
13.00
60.00 - 13.00 = 47.00
your welcome
Answer:
$12p plus $1.25s≤60
Step-by-step explanation:
Because we are multiplying to see how many pizzas and sodas he will get for under 60 dollars or equal to $60
Find the maximum value of
P = x + 6y
subject to the following constraints:
(2x + 4y < 10
X + 9y < 12
x > 0
y0
P = [?]
Answers
Answer:
(3, 1)
Step-by-step explanation:
Given the following constraints:
2x + 4y ≤ 10
x + 9y ≤ 12
x ≥ 0
y ≥ 0
We have to first graph the above constraints and secondly, we find the boundary points for the feasible region. This is done by plotting the graphs of 2x + 4y ≤ 10 and x + 9y ≤ 12.
From the graph, the following points satisfy the constraints:
(0,0) , (3,1) , (0,4/3) , (5,0)
Given that:
P = x + 6y
For (0, 0): P = x + 6y = 0 + 6(0) = 0
For (3, 1): P = x + 6y = 3 + 6(1) = 9
For (0, 4/3) P = x + 6y = 0 + 6(4/3) = 8
For (5, 0) P = x + 6y = 5 + 6(0) = 5
Answer:
9
Step-by-step explanation:
Acellus algebra 2
Can someone help me answer this?
Answers
Answer:
(30,60)
90mph
Step-by-step explanation:
[tex](2x { - }^{1} ) { - }^{2} [/tex]
Answers
= 1/(2x^-1)2
1/(4 x^-2)
X^2/4
A line has a slope of One-fourth and passes through point (0.4, negative one-half). What is the value of the y-intercept?
–0.6
–0.4
0.275
0.525
Answers
Answer:
-0.6
Step-by-step explanation: