Answer:
170 children
74 students
85 adults
Step-by-step explanation:
Given
Let:
[tex]C = Children; S = Students; A = Adults[/tex]
For the capacity, we have:
[tex]C + S + A = 329[/tex]
For the tickets sold, we have:
[tex]5C + 7S + 12A = 2388[/tex]
Half as many as adults are children implies that:
[tex]A = \frac{C}{2}[/tex]
Required
Solve for A, C and S
The equations to solve are:
[tex]C + S + A = 329[/tex] -- (1)
[tex]5C + 7S + 12A = 2388[/tex] -- (2)
[tex]A = \frac{C}{2}[/tex] -- (3)
Make C the subject in (3)
[tex]C = 2A[/tex]
Substitute [tex]C = 2A[/tex] in (1) and (2)
[tex]C + S + A = 329[/tex] -- (1)
[tex]2A + S + A = 329[/tex]
[tex]3A + S = 329[/tex]
Make S the subject
[tex]S = 329 - 3A[/tex]
[tex]5C + 7S + 12A = 2388[/tex] -- (2)
[tex]5*2A + 7S + 12A = 2388[/tex]
[tex]10A + 7S + 12A = 2388[/tex]
[tex]7S + 22A = 2388[/tex]
Substitute [tex]S = 329 - 3A[/tex]
[tex]7(329 - 3A) + 22A = 2388[/tex]
[tex]2303 - 21A + 22A = 2388[/tex]
[tex]2303 +A = 2388[/tex]
Solve for A
[tex]A = 2388 - 2303[/tex]
[tex]A = 85[/tex]
Recall that: [tex]C = 2A[/tex]
[tex]C = 2 * 85[/tex]
[tex]C = 170[/tex]
Recall that: [tex]S = 329 - 3A[/tex]
[tex]S = 329 - 3 * 85[/tex]
[tex]S = 329 - 255[/tex]
[tex]S = 74[/tex]
Hence, the result is:
[tex]C = 170[/tex]
[tex]S = 74[/tex]
[tex]A = 85[/tex]
Answer:
Down Below
Step-by-step explanation:
The answer is actually
162 children
86 students
81 adults
162x5=810
86x7=602
81x12=972
I found the original problem and the total ticket sale was $2384.
So I wrote the answers for the original problem just in case!
Ty for your time!
Question 17 of 25
A density graph for all the possible speeds between 0 mph and 320 mph is in
the shape of a triangle. What is the height of the triangle?
A. 0.025
B. 0.003125
C. 0.00625
D. 0.0125
SUBMIT
Consider the graph of f(x) = (1/2)x
The graph of function g is graph because the graph of function g is the result of a
applied to the graph of function f
The graph of function g is graph Z because the graph of function g is the result of a horizontal compression applied to the graph of function f
How to determine the function g(x)?Function f(x) is given as:
[tex]f(x) = (\frac 12)^x[/tex]
Function g(x) is given as:
g(x) = f(kx)
The above represents a horizontal compression of function f(x) to form function g(x)
The graph that represents a horizontal compression is graph Z
Hence, the graph of function g is graph Z
Read more about horizontal compression at:
https://brainly.com/question/10675292
#SPJ1
PLEASE HELP! No links, I just need answer and explanation please!
What is x and y??
9514 1404 393
Answer:
x = 90y = 64Step-by-step explanation:
If we take the arcs to mean that those angles are congruent, then the sum of exterior angles is ...
x° +2y° +75° +67° = 360°
y = 109 -x/2 . . . . . . subtract non-x terms and divide by 2
Because x° forms a linear pair with a right angle, we know ...
x° = 180° -90° = 90°
Then ...
y = 109 -90/2 = 64
The values of x and y are 90 and 64, respectively.
Someone please answer this correctly
Answer:
The answers would be 3 & 4 ^_^ .
Step-by-step explanation:
Hope it was helpful .
What is the area? Write the answer
Answer:
the answer to the question is 179/25
Factor. Check by multiplying
2a - 14 = ?
Answer: 2a - 14 = 2(a - 7)
Step-by-step explanation:
Because 2•a = 2a and 2•-7= -4 therefore, the answer is 2(a - 7).
Answer: -14
Step-by-step explanation:
BUILDING PLANS In a scale drawing of a school's floor plan, 6 inches represents 100 feet If the
distance from one end of the main hallway to the other is 175 feet, find the corresponding length in the scale
Answer:
10.5
Step-by-step explanation:
You just divide 175/100, and then multiply it by 6 to get 10.5
Solve the following system of equations.
-3x+5y=-7
-7x-9y=25
Answer:
(x,y)=(-1.-2)
Step-by-step explanation:
Using the elimination method:
-27x+45y=-63
-35x-45y=125
---------------------
-62x=62-->x=-1
-3*(-1)+5*6=-7-->y=-2
Can someone help me out with this?? It’s due soon...
What is the midpoint of a line segment with endpoints at (2,3) and (4,5)?
Answer:
Use the formula.
((x1+x2)/2 , (y1+y2)/2)
(2+4)/2 , (3 + 5)/2
3 , 4
Answer:
(3, 4)
Step-by-step explanation:
(2,3) and (4,5)
midpt formula:
[tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{2+4}{2} ,\frac{3+5}{2} )\\\\(\frac{6}{2} ,\frac{8}{2} )\\\\(3,4)[/tex]
The Ano Center in Chicago is a tall square tower. Its base covers an area of about 37,636 square feet. The building is about 1,136 feet tall. What is the volume of the Ano Center?
Answer:
42754496
Step-by-step explanation:
Volume =Base area * height
=37636 * 1136
=42754496cubic feet
Wilson Swartz rents a car for 5 days at $51.29 a day and has unlimited miles. Wilson drives 198 miles and spends $29.90 on gasoline. The CDW fee is $15.50 per day. What is the total cost? What is the cost per mile?
Answer:
Total cost=333.95
Cost per mile=6.622
Step-by-step explanation:
5x51.29=256.45
5x15.50-77.50
256.45+77.50=333.95
I NEED HELP ASAP plsssssss
Answer:
#1=24 #2=36 #3=77 #4=21
Step-by-step explanation:
Hope this helps
Answer:
1-8×3=24
2-9×4=36
3-11×7=77
4-7×3=21
but don't forget to put units and put square
Will mark BRAINLIEST!
Find the numeral to put in the blank to make each equation true. Do not convert to base ten. (Hint: In base 12, T stands for the numer 1 greater than 9 and E stands for the number 2 greater than 9.)
a. 4413 five- __five= 2331 five
b. 10011 two+ __ two= 100000 two
c. TEE twelve- __ twelve= 8 twelve
d. 1000 five + __ five = 10000 five
Answer:
a. 4413₅ - __ ₅ = 2331₅
4413₅ - 2331₅ = 2032₅b. 10011₂ + __ ₂ = 100000₂
100000₂ - 10011₂ = 10001₂c. TEE₁₂ - __ ₁₂ = 8₁₂
TEE₁₂ - 8₁₂ = TT3₁₂d. 1000₅ + __ ₅ = 10000₅
10000₅ - 1000₅ = 4000₅find the angle measure given extended triangles
help pls
Answer:
x=74
Step-by-step explanation:
Solve big triangle first 33+45= 78
78+28= 106
A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 4% of the true proportion. Find the sample necessary if, in a prior study, a sample of 200 people showed that 40 traveled overseas last year. If no estimate of the sample proportion is available, how large should the sample be
Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385
If no estimate of the sample proportion is available , then n= 601
Step-by-step explanation:
Let p be the prior population proportion of people who traveled overseas last year.
If p is known, then required sample size = [tex]n=p(1-p)(\dfrac{z^*}{E})^2[/tex]
z-value for 95% confidence = 1.96
E = 0.04 (given)
[tex]p=\dfrac{40}{200}=0.2[/tex]
[tex]n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385[/tex]
Required sample size = 385
If p is unknown, then required sample size = [tex]n=0.25(\dfrac{z^*}{E})^2[/tex]
, where E = Margin of error , z* =critical z-value.
z-value for 95% confidence = 1.96
E = 0.04 (given)
So, [tex]n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601[/tex]
Required sample size = 601.
PLEASE HELP!
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.
if you answer this pls explain (no links)
Answer:
false
Step-by-step explanation:
15-8=7
8-15=-7
Emilio represents the perimeter of the triangle with the equation
(5w - 13) + (2w + 6) + 2(5w + 15) = P, where P is the perimeter of the triangle.
Which equation is correctly solved for w?
Answer:
A
Step-by-step explanation:
1) multiply 2 for 5w and 15
5w -13 + 2w + 6 + 10w + 30 = P
2) sum the therms with w and the term without it
17w + 23= P
3) add -23 at the two terms
17w + 23 - 23= P - 23
17w = P - 23
4) divide the two terms by 17
w = (P-23)/17
quería saber el problema este q no me se la respuesta
giving brainliest !!!!
Answer:
1105.28
Step-by-step explanation:
d = 16
r = d/2 = 8
Formula:
SA = 2πr² + 2πrh
SA = 2(3.14)(8²) + 2(3.14)(8)(14)
SA = 2(3.14)(64) + 2(3.14)(8)(14)
SA = 401.92 + 703.36
SA = 1105.28
Please help. I need to prove ABCD is a parallelogram
Answer:
It's a parallelogram because it has two parallel sides "a,b"+"d,c" or "a,d"+"b,c". It is connected by "a,d".
Step-by-step explanation:
A C (prima) = 14cm AC= 5cm
Cual es la razón de la homotecia?
(m+2)^2=27
solve by square root property
when i did it i got: m=±√27-4
is that correct?
Answer:
Yes, that's correct
Step-by-step explanation:
William spent 35% of his money and was left with $71.50. How much did he have at first.
Answer:
$204.29
Step-by-step explanation:
Ratios:
[tex]\frac{35}{100} =\frac{71.5}{x} \\\\35x=7150\\x=204.29[/tex]
Double check:
204.29(0.35) = 71.50
Evaluate the expression
Answer:
You were really lazy here. This is simple. its 16. PLZ GIVE ME BRAINLIEST
Step-by-step explanation:
2x^2 is 2* x^2 which is 2*3^2=2*9=18. y^1=5^1=5. 3x^0=3*x^0=3*3^0=3*1=3(Anything to the power of 0 is 1). So 18-5+3=16.
Answer:
16
Step-by-step explanation:
2×3^2-5+3×3^0
2×3^2-5+3×1
2×9-5+3×1
18-5+3×1
18-5+3
13+3
16
2.2 x 0.42 =
pls help
Answer:
0.924
Step-by-step explanation:
Answer:
0.924
Step-by-step explanation:
Just times them together. By the way, you can search them up.
In a card game, a player eams 5 points for each red card drawn. If the player has a score of -20, how many red cards has the player drawn?
A. -100
B.-4
C. 4
D. 100
Hep please
Answer:
-4
Step-by-step explanation:
-20 divided by 5 = -4
Plz help me I don’t understand this
Answer:
1/10
Step-by-step explanation:
just had to simplify
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Simplify the ratio by a common term (3)
Divide each number by this GCF : 3
3/3 =1
30/3 = 10
1/10
Somebody please help me!!!
Answer:
(-1,6) is where the point would be.
Just a reflection across the y axis.
Answer:
(-6, 1)
Step-by-step explanation:
I rotate 270 degrees means to turn 90 degrees clockwise 3 times, If You rotate once it is in the +x, -y rotate again -x, -y, and the last time is -x +y. Please give brainliest if this is helpful. Sorry if this is confusing :)
The other person did a 180 degrees rotation instead of 270
