The number of adults at the public pool that day is 284 and the number of children is 147.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Let x be the number of adults and y be the number of children who used the swimming pool.
Total number of people used the swimming pool = 431
x + y = 431
Daily price for adults = $2.00
Daily price for children = $1.50
Total amount for admission = $788.50
2x + 1.5y = 788.5
We got two linear equations here :
x + y = 431 and 2x + 1.5y = 788.5
x + y = 431 ⇒ x = 431 - y
Substituting this in second equation,
2(431 - y) + 1.5y = 788.5
862 - 2y + 1.5y = 788.5
-0.5y = -73.5
y = 147
x = 431 - 147 = 284
Hence the number of adults is 284 and the number of children is 147.
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Three ballet dancers are positioned on stage. If Lauren is 6 meters straight behind Alexa and
8 meters directly left of Danielle, how far is Alexa from Danielle?
Help plz...
And No links!! I repeat No links!!
Answer:
d = 10 m
Step-by-step explanation:
Given that,
tLauren is 6 meters straight behind Alexa and 8 meters directly left of Danielle. We need to find the distance between Alexa and Danielle. It can be calculated using Pythagoras theorem such that,
[tex]d=\sqrt{8^2+6^2} \\\\d=10\ m[/tex]
So, the distance between Alexa and Danielle is 10 m.
What is an angle with 3 acute angles?
Three straight sides and three angles make up the shape of a triangle. The angles of a triangle can either be acute, right, or obtuse. An angle with three acute angles is a triangle where all three angles measure less than 90 degrees.
A triangle is a three-sided shape with three angles. The sum of the internal angles of a triangle is always 180 degrees. An angle is the amount of turn or change in direction between two lines. There are three types of angles, acute, right and obtuse. An acute angle is an angle which measures less than 90 degrees. A right angle is an angle which measures exactly 90 degrees, and an obtuse angle is an angle which measures more than 90 degrees. Therefore, an angle with three acute angles is a triangle where all three angles measure less than 90 degrees. A triangle with three acute angles is also known as an acute triangle. All three angles must add up to 180 degrees, so the measure of each angle must be less than 60 degrees.
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When an article is sold for Rs 23, there is profit.
of 15%.
(i) क्र.मू. कति होला? (What is the cost price?)
(ii) 10% नाफा बनाउन सो सामान कतिमा बिक्री गर्नुपला ।।
At what price must it be sold to make a profit of
10%
Answer:
Cost price = R.S 20
Sales price = R.S 22
Step-by-step explanation:
Given:
Sales price of an article = R.S 23
Profit = 15%
Find:
Cost price
Sales price if profit is 10%
Computation:
Profit% = [(Sales price - Cost price) / Cost price]100
15 = [(23-cp)/cp]100
15cp = 2,300 - 100cp
115cp = 2,300
Cost price = R.S 20
Sales price if profit is 10%
Sales price = Cost price + Profit
Sales price = 20 + 10%[20]
Sales price = 20 + 2
Sales price = R.S 22
I don’t know help m/12-8=4
Answer:
[tex] \frac{m}{12} - 8 = 4 \\ \frac{m}{12} = 4 + 8 \\ m = 12×12 \\ m = 144[/tex]
Hope it will help u...
Find the area of the figure.
Answer:
64 + 28 = 92
Step-by-step explanation:
Split the figure in half creating two triangles and a square.
length and width for the square would be 8ft and 8ft. Multiply both for 64 to be the area.
7ft and 4ft are the height and base for the triangles.
In this case, just multiple 7 and 4 because normally you would need to divide the product by 2 however since there are two triangles it negates the step.
Answer:
92ft^2
Step-by-step explanation:
you have to find the are of the triangle and subtract it from the area of the rectangle.
area of the triangle is 28ft^2
area of the rectangle is 120ft^2
120-28 = 92
Ann says if you spin the spinner 80 times, it should land on red about 10 times. Do you agree with her? Explain.
yes it can be possible as per ur luck
2(x-y) and 2x-2y THATS my question pls help
Step-by-step explanation:
2(x -y) + 2x - 2y
2x - 2y + 2x - 2y
2x + 2x -2y - 2y
4x - 4y
Which statement about the order of operations is TRUE?
Complete all subtraction operations before addition.
Simplify operations within the innermost grouping symbols first.
Complete all division operations before multiplication.
Simplify exponents before operations in grouping symbols.
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/(x+2)(x-1)
o x=10
o x=-2
o x=0
o x=-1
o x=2
o x=1
Answer:
x = - 2, x = 1
Step-by-step explanation:
Given
f(x) = [tex]\frac{x}{(x+2)(x-1)}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving for x gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.
(x + 2)(x - 1) = 0
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
Vertical asymptotes occur at x = - 2 and x = 1
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created
Negative Slope can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created.
In the given question, we have to find what phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created.
As we know that,
(1) Negative Slope: A line with a negative slope is one that is moving from left to right in a downward direction. The rise to run ratio of the line, in other words, is negative.
(2) Decreasing Function: For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
(3) Constant Slope: Small slopes correspond to low speeds, negative slopes to high speeds, and constant slopes (straight lines) to steady speeds.
Hence, Negative Slope can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created.
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Olivia, Nicholas, Chloe, and Ethan each took many samples from the same
population of students. The number of students in each of their samples is
shown in the table below. Which person's sampling distribution is most likely
to closely approximate the population distribution?
Person taking sample Number of students in each sample
Olivia
29
Nicholas
70
Chloe
56
Ethan
91
A. Olivia
B. Chloe
C. Ethan
D. Nicholas
Answer:
C Ethan I just took the test
person's sampling distribution is most likely to closely approximate the population distribution is Ethan.
What is probability?Probability is a mathematical tool used to study randomness. It deals with the chance (the likelihood) of an event occurring.
The most likely to closely approximate the population distribution is the sampling done by Ethan as he had maximum data, which helps to get to approx of the population distribution.
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GUYS AND GIRLS PLEASE HELP
Answer:
i do not know the answer sorry
The number of plants in a terrarium is given by the function P(c) = -1.2c2 + 4c + 12 where c is the number of mg of plant food added to the terrarium. The amount of plant food that produces the highest number of plants is _____ mg (round to the nearest hundredth).
Answer:
15.33mg
Step-by-step explanation:
Given the number of plants in a terrarium is given by the function
P(c) = -1.2c^2 + 4c + 12
At the hihest number of plants produced, dP(c)/dc = 0
dP(c)/dc = --2.4c + 4
0 = -2.4c + 4
2.4c = 4
c = 4/2.4
c = 1.67
To get the highest number of plant produced, we will substitute c = 1.67 into the original function
P(c) = -1.2c^2 + 4c + 12
P(1.67) = -1.2(1.67)^2 + 4(1.67) + 12
P(1.67) = -3.34668 + 18.68
P(1.67) = 15.33332
Hence the amount of plant food that produces the highest number of plants is 15.33mg (round to the nearest hundredth).
The product of (4x + 3)2 is:
Answer:
8x + 6
Step-by-step explanation:
(4x + 3)2
Distributive Property:
(4x)2 + (3)2 =
8x + 6
If my answer is incorrect, pls correct me!
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-Chetan K
Qasim is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $2 for every hour he had his car in the lot. How much total money would Qasim have to pay for parking if he left his car in the lot for 6 hours? How much would Qasim have to pay if he left his car in the lot for t hours?
Answer:
23; 11 + 2t
Step-by-step explanation:
So let's start with the equation and then plug in the 6 hours:
Because we start with 11 dollars just to enter, our equation would start like this:
11 +
Also, 2 dollars for every hour. One hour could be represented as 1t, or just t:
11 + 2t (2 dollars for every t, every hour)
So now the equation is 11 dollars starting entry plus 2 dollars every hour
Now all we have to do is replace t with the number of hours:
11 + 2(6) = answer
11 + 12 = answer
23 = answer
can someone pls help me
Answer:
It is 159.1 in^2Step-by-step explanation:
I hope that is useful for you
The N71-90 virus will give an infected person a mild rash on their arms once the person has 1 billion of the virus cells in their body. After an initial infection with just one cell, each virus cell will divide into two cells every four hours. After 30 divisions there are 1,073,741,824 cells and the rash starts. Once the rash starts, the immune system kicks in and kills all of the virus cells within an hour. The number of virus cells in the body can be determined using the function where h is the number of hours after infection. If Jolene is infected by one virus cell, how many virus cells will she have after 12 divisions
Jolene will have 4096 virus cells in her body after 12 divisions
Why should we call viruses a cell?Viruses are something more than living or dead, they are both. Maybe we need a new classification of life for them, a life that lives when the environment is favorable and hibernate when it is not.
The function provided to determine the number of virus cells in the body after h hours is 2^h. To find the number of virus cells after 12 divisions, we can plug in 12 for h in the function.
2^12 = 4096.
So, Jolene will have 4096 virus cells in her body after 12 divisions.
Please note that Jolene would not develop a rash after 12 divisions as it would take 30 divisions (120 hours) for the rash to appear.
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3 pounds of peanuts for 7.50. how much is one pound
Answer: Ok to solve this question you would have to do $7.50 divided by
3 and your answer should come out to be $2.5 or $2.50 per each pound.
Step-by-step explanation:
$7.50 divided by 3 = 2.5
and with money if you get a $2.5 it would be $2.50 because you have to add the zero to the end of it.
(2. Given that AABC is similar to ADEC, find the values of the unknowns in the figure.
7.3 cm
А Ar
B
489
8 cm
С
10 cm
60°
E
D
y cm
Answer:
x = 72 degrees
y = 9.125 cm
Step-by-step explanation:
the sum of degrees of all angles in a triangle is 180.
because the triangles are similar, all the angles must be the same in both. and the side lengths of one triangle must all have the same scaling factor compared to the other triangle.
the similarity tends is that the angle at E is the same as at B (48 degrees). so, then the angles at C are 60 degrees. that leaves for the angle at D (x) 180 - 60 - 48 = 72
BC (8) is scaled to CE (10) by the factor 10/8 = 5/4
so, y must have the same scaling factor in relation to AB (7.3)
y = 7.3 × 5/4 = 9.125
Help me solve this plz!!
Answer:
It’s graph B
Step-by-step explanation:
If you look at graph A, the y intercept will be at -3 instead of a negative 5.
Good luck!
A game lasts 58 hours. Charlie played 4 of these games. For how long did he play in total? Write your answer in simplest form.
Answer:
232 Hours
Step-by-step explanation:
Given data
Duration of game= 58 hours
Number of games played= 4 games
Hence the total duration for these four games is
=58*4
=232 Hours
Therefore Charlie spent 232 Hours playing games
-5(i-30)=-10
what does i equal?
Answer:
15
Step-by-step explanation:
Why do we use log e?
log with base 10 is mainly used to simplify manual computation and it is also related to the decimal system. if we calculate the log of any variable with base 10, then an integer just greater than that calculated value gives the number of digits in that number.
likewise, log with base 2 is used in digital and computer applications where binary system prevails.
The worth of log e is around equal to 0.4342944819 where log e has a base value equal to 10.
1. The value of log e base 10 is around equal to 0.4342944819.
2. The value of log e with base e, that is, ln the e value is equal to 1.
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what entry is 7 in the matrix below?
Answer:
B32
its goes 1 - 3 down and 1- 4 on top so go 3 down and 2 over - B 32
Help ASAP will give brainiest
Answer:
39 in the filmmaking club
25 in the yearbook club
Step-by-step explanation:
X =14+y
14+y + y = 64
14 +2y = 64
2y=50
y=25
if y is 25 then subtract 25 from 64 to get x
64-25=39
Select the correct answer from the drop-down menu. You are conducting a survey on the best beaches in the world. The group that would probably give you the most reliable data is .
A) tourists who wish to visit the beaches
B) officials who manage the beaches
C) tourists who have visited the beaches
D) friends and family
The group that would probably give you the most reliable data is tourists who have visited the beaches. Option C is the correct answer.
In order to gather information about a service, product, or process, a survey is described as an act of looking at a process or interviewing a predetermined sample of people. Surveying beachgoers who have previously been there will yield more accurate results regarding the greatest beaches because they can share their personal experiences.
Surveying those in charge of the beaches is not a smart idea since they would be prejudiced in saying that their beaches are the finest. As a result, the third choice is the best one.
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What is irrational statement?
An irrational statement is a kind of genuine number that can't be addressed as a basic portion. It can't be communicated in that frame of mind of a proportion. If N is silly, N isn't equivalent to p/q where p and q are numbers and q isn't equivalent to 0. Model: √2, √3, √5, √11, √21, π(Pi) are nonsensical.
A number can't be communicated as a portion of any numbers and. . Unreasonable numbers have decimal developments that neither end nor become occasional. Each supernatural number is irrational.
If a square root is not an ideal square, then it is viewed as an unreasonable number. These numbers can't be composed as a portion because the decimal doesn't end (non-terminating) and doesn't rehash an example (non-repeating).
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5-115. Let us consider the difference between t(n) = 2 · 3" and f(x) = 2. 3
a) Is f(x) = 2 · 3 a function? Is t(n) = 2 · 3" a function? Why or why not?
Both f(x) = 2.3 and t(n) = 2.3" is not a function as they does not has any input variable.
f(x) = 2.3 is not a function because it's a constant value, it doesn't have any input x that could be used to produce a different output. It's just a number, and it's not a mathematical function.
t(n) = 2 · 3^n also doesn't represent a function because, again, it doesn't have any input n that could be used to produce a different output. It's also just a number, and it's not a mathematical function.
A mathematical function is a set of ordered pairs (input, output) such that for each input, there is only one output. A function must have at least one variable that can take different values and the output must depend on the input value. In other words, for each value of the independent variable, there is only one value of the dependent variable.
So, in the case of f(x) = 2.3 and t(n) = 2 · 3^n, there is no input variable that can produce different output, so they're not functions.
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Write the polynomial with roots 4, -3, and -6 (double root) with NO stretch factor
Answer: go to bitly and type
Step-by-step explanation: 3f3FcEi
Lewis uses a half-cup of lemon juice for
every pitcher of lemonade he makes. If he
starts with a gallon of lemon juice and makes
19 pitchers of lemonade, is it reasonable to
assume he'll have enough juice left to make at
least 9 more pitchers? Explain.
Answer:
Yes
Step-by-step explanation:
there are 16 cups in a gallon. if he uses 1/2 a cup to make 1 pitcher, there would be 32 pitchers made. 19+9 is 28 so the answer is yes.
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