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!
Someone please answer this correctly
Answer:
The answers would be 3 & 4 ^_^ .
Step-by-step explanation:
Hope it was helpful .
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
find 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
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
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 = 4000₅Please 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:
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.
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:
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
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
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
quería saber el problema este q no me se la respuesta
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
(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:
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
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
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
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
Can someone help me out with this?? It’s due soon...
PLEASE HELP!
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.
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
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
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.
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
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
A C (prima) = 14cm AC= 5cm
Cual es la razón de la homotecia?
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.
if you answer this pls explain (no links)
Answer:
false
Step-by-step explanation:
15-8=7
8-15=-7
