Answers
9514 1404 393
Answer:
let a, c represent costs for adults and children, respectively12c+3a=162; 8c+3a=122Step-by-step explanation:
You are asked only for the setup, not the solution.
I find it convenient to use variable names that remind me of what they stand for. Here, we're asked for the admission prices for adults and children, so 'a' and 'c' are convenient variables to represent those values.
Let a represent the admission price for an adult.
Let c represent the admission price for a child.
__
The first sentence gives a relation between the numbers and the total cost:
162 = 12c +3a
The second sentence gives a different relation:
122 = 8c +3a
These are the "system of equations."
_____
You aren't asked for the solution, but it is (a, c) = (14, 10). It can be found easily by subtracting the second equation from the first.
Related Questions
36 is 0.8% of what number?
Answers
{57, 53, 53, 71, 73, 57, 61, 58, 78. 64, 54, 69, 56, 58, 49, 56, 53, 52, 82, 62, 61, 60, 71, 75, 60} Whats the mean? the median and mode. what is the range. and the iqr? what is the five number summary? what is Q3? and the data set is?
Answers
Mean of the data is 62.12, median is 60, mode is 53, range is 32, Q3 is 69.
What is mean?Mean is the sum of numbers divided by the numbers. It is also known as average.
How to calculate values?Fow calculating mean we have to find sum of numbers which is calculated in figure as 1553.
Mean=1553/25=62.12
Mode is basically the number having higher frequency which is 53.
Median is[ (n+1/2)th term,(n/2)th term]/2
=(60+60)/2
= 60.
Range is basically the difference of smallest number and largest number divided by 2=82-49=32
Q3=3(N+1)/2
=3(25+1)/2
=18.5th term which is 69.
Hence mean of the data is 62.12, median is 60, mode is 53, range is 32, Q3 is 69.
Learn more about mean at https://brainly.com/question/1136789
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The angle of depression from an air traffic control tower to an airplane on the runway is 72 degrees. If the tower is 354 feet tall, how far is the airplane from the base of the tower?
Answers
Answer:
115.02 feet
Step-by-step explanation:
The angle of depression from an air traffic control tower to an airplane on the runway is 72 degrees. If the tower is 354 feet tall, how far is the airplane from the base of the tower?
We solve this question using the Trigonometric function of tan
tan x = Opposite/Adjacent
x = Angle of depression = 72°
Opposite = Height of the tower = 354 feet
Adjacent = Distance of the airplane from the base of the tower = y
Hence,
tan 72 = 354/y
Cross Multiply
tan 72 × y = 354
y = 354/tan 72
y = 115.02157247 feet
Approximately = 115.02 feet
Therefore, the distance of the airplane from the base of the tower is 115.02 feet
At which value(s) of x does the graph of the function f(x) have a vertical asymptote? Check all that apply
F(x)=x-5/3x(x+1)
Answers
Horizontal asymptotes are at y=0
The vertical asymptotes are x= 0 and x = -1 option (D) and option (F) are correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
F(x) = (x-5)/3x(x+ 1)
To find the vertical asymptotes:
3x = 0
or
x = 0
x + 1 = 0
or
x = -1
Thus, the vertical asymptotes are x= 0 and x = -1 option (D) and option (F) are correct.
Learn more about the function here:
brainly.com/question/5245372
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what is the constant term in the expression 8 * y + 9x ^ 2 y - 5x -2
A - 5
B - 2
c 8
d 9
Answers
answer is
-2
that is option b
find the value of x and classify the triangle
Answers
Answer:
x = 91 degrees
It is an obtuse scalene triangle.
Step-by-step explanation:
If a = 3y + 4z and b - z - 2y, then what is the value of
a + b
Answers
Answer:
sin (330) csc (60) cos (390)
Step-by-step explanation:
What is the measure of x?
344
43
172
86
Answers
i need to know the intercept for both and i don't know how to find it
Answers
for y=2x the x intercept is 0 and the y intercept is 0. for 7y=6x-20 the x intercept is 3.1 and the y intercept is 3
Select all the shapes that are cross sections of a cylinder.
Answers
It would be
rectangle (verticaly cut)
a line
a circle
an oval
please help i’m struggling
Answers
Solve the inequality: 2(4+2x)≥5x+5
Answers
Answer: solving for x would be x ≤ 3
Step-by-step explanation:
Hope this helps! have a good day!
Answer:
Inequality form:
x≤3
Interval Notation:
(-∞,3]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Which table represents a linear function?
Answers
Answer:
wheres the pic tho
Step-by-step explanation:
?????????
3. Find x.
8x - 37
5x + 17
I really need help with this
Answers
Answer:
X would be 18x
Step-by-step explanation:
100 POINTS!!! ONLY 1 QUESTION! WILL GIVE BRAINLIEST. Please EXPLAIN how you got the answer
Answers
Answer:
A
Step-by-step explanation:
its hard to explain but pretty much if you didn't know the ^x+1 is the x intercept except when its graphed its no marked at (1,0) its mark ate (-1,0) because it always takes the inverse
if you go over to the right 3 then your adding 3 to the x intercept or subtracting 3 from ^x+1 so it would be ^x-2
the y intercept part is easy all you have to do is subtract 2 from the y intercept so it would be +2
hope this helps :D
Answer:
yes equation A is your answer
simplify.
(14h⁴︎+3h³) - (9h⁴︎+2h³)
Answers
Answer:
31874
Step-by-step explanation:
I think that's right?
please tell me
38443h-6569h
=31874h
How to find the Angle Measures of this Inscribed Quadrilateral
Answers
Answer:
All the four vertices of a quadrilateral inscribed in a circle lie on the circumference of the circle. The measure of an exterior angle is equal to the measure of the opposite interior angle.
Step-by-step explanation:
Esgetteit give me a funney joek plox plox
Answers
Answer
why cant a orfian play baseball..... they dont know where home is.
Step-by-step explanation:
A racehorse as a 3/10 chance of winning a derby. How could you simulate this probability in
order to run chance experiments?
Answers
answer both for a ( brain list , thanks , and a 5 star review)
Answers
Answer:
1/ 6
7/ 12
Step-by-step explanation:
Answer:
7a) 1/7
7b) 7/12
Step-by-step explanation:
For 7a) you know that the denominator of 5/6 is equal to 6 so that means you should make 1 have a denominator of 6. To do that, you have to multiply the denominator and the numerator by 6 to get 6/6-5/6=?. With this, you could easily solve the two fractions because they have equal denominators. You subtract the numerator and keep the denominator. 6-5=1 so the answer is 1/6.
For 7b) I would first convert 1 3/12 into an improper fraction. To do that, you have to multiply the whole number by the denominator then add the numerator. It will look like this 12x1+3/12 which is equal to 15/12. This makes the question easier to solve. You then want to convert 2/3 to have a denominator of 12. To do that, you have to multiply 4 on the numerator and denominator. This will turn the fraction into 8/12. After you do that, you can easily subtract the fractions again. you do 15-8/12 which is equal to 7/12.
If this answer has helped you, please mark this answer as brainliest
Find the surface area of the prism 3m 16m and 6m
Answers
Answer:
324 square meters
Step-by-step explanation:
a) 5(3z-2)=-16-3(2z+5)
b) 5(2 –3k) + (3k –2) = -4
Answers
a) z=105.53
b) k= 1
Victor baked 30 chocolate chip cookies, 18 peanut butter cookies, and 24 sugar cookies. He wants to split them into equal and identical bags to sell at the bake sale. What is the greatest number bags of cookies Victor can make?
Answers
Answer:
Six bags.
Step-by-step explanation:
The greatest common factor of 18, 24, and 30 is 6.
He can make 6 bags. Each would have 5 chocolate chip cookies, 4 sugar cookies, and 3 peanut butter cookies.
80% of what number is 120?
Answers
Answer:
150
Step-by-step explanation:
brainliest?
Answer:
150
Step-by-step explanation:
pls help :) plssssss
Answers
Answer:
I'm kinda guessing 35 degrees.
Step-by-step explanation:
It was simple math and I don't know if there's a certain way you are supposed to do this. Sorry if I'm incorrect.
Answer:
35 degrees im pretty sure
Step-by-step explanation:
goodluckk
Solve for X. Please help! 35 points
Answers
-x=-7
X=7
Hope this helps!
A person stands 6 feet tall. The distance from the top of their head to the end of their
shadow on the ground is 10 feet. How long is their shadow? Round to the nearest
tenths where necessary.
Answers
Answer:
It's quite simple and there is no need for rounding, the answer should be 8ft
Step-by-step explanation:
Here's why,
This problem can be solved with the Pythagorean Theorem, since in draws a triangle.
The picture should explain it, let's double check:
6^2+8^2=10^2
36+64=100
Looks like it checks out
Answer:
I agree, the answer should be 8ft
Help me pls. literally can’t figure it out.
click pic to make it bigger thanks.
Answers
y: 1
I hope this helps
At Sophia's gymnastics camp, the gymnasts spent 2 hours and 45 minutes on the balance beam and 2 hours and 50 minutes on practicing vaulting. If the gymnastics camp ended at 2:25 P.M., what time did it start?
Answers
Answer: 8:50 am
Step-by-step explanation:
Well, you have to add the hours together, and remember that there is 60 minutes in an hour. You wouls get 5 hours and 35 minutes, or 5:35. You just count backwards from there. Hope this helped!
I am just going to ask this question again because I keep getting a scam answer
Answers
Answer:
14.52 seconds
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+148x+128
Hope this elf full to you ( thanks) !