Number of adults = 264
Number of children= 127
Step-by-step explanation:
Let the number of adults be......x
Let the number of children be.....y
The total number of people that used the public swimming pool is given as 391. This means
x+y=391
The total cost per the receipt is : $752.75
This means, 2.25 x+ 1.25 y = 752.75
The two equations are;
x+y=391 ...........(i)
2.25 x+ 1.25 y = 752.75...........(ii)
Making the x variable equal to eliminate x
2.25x + 2.25 y = 879.75
2.25x + 1.25 y = 752.75
Apply subtraction as
1.00 y = 127.00
y=127
Use the value of y in equation (i)
x+y=391
x+127=391
x=391-127=264
Number of adults = 264
Number of children= 127
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Keywords ; public, swiming pool, prices, daily, adults, children, receipt, admission
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Find the sum 5/10 + 3/100 =
Answer:
0.53
Step-by-step explanation:
5/10 + 3/100=0.53
Answer:
0.53
Step-by-step explanation:
5/10 + 3/100
by Elysium
(50 +3)/100
53/100
0.53
Write an equation in point-slope form for the line that has a slope of 56 and contains the point (−8,−4).
Step-by-step explanation:
Given: slope of line m = 56 & line contain point is (−8,−4).
[tex] \therefore (x_1, \:\: y_1) = (-8, \:\: - 4)[/tex]
Equation of line in slope point form is given as:
[tex]y - y_1 =m(x - x_1) \\ \\ \therefore \: y - ( - 4) = 56 \{x - ( - 8) \} \\ \\ \blue{ \boxed{\therefore \: y + 4= 56 (x + 8) }}\\ ..(this \: is \: the \: equation \: of \: line \: in \: \\ slope \: point \: form)\\ \\ \therefore \: y + 4= 56x + 56 \times 8 \\ \\ \therefore \: y + 4= 56x + 448 \\ \\ \therefore \: y = 56x + 448 - 4 \\ \\ \huge \red{ \boxed{\therefore \: y = 56x + 444 }}\\ ..(this \: is \: the \: equation \: of \: line \: in \: \\ slope \: intercept \: form)[/tex]
Answer:
y+4 = 56(x+8)
Step-by-step explanation:
y-y1 = m(x-x1)
y-(-4) = 56(x-(-8))
y+4 = 56(x+8)
If needed, simply it further
y+4 = 56x+448
y = 56x+444
the function h=14t²+56t+60 represents the height of an object that is launched directly up into the air, where h represents the height in feet of the object and t represents time in seconds
What is the maximum height in feet of the object?
How long will it take the object to reach its maximum height?
Answer:
It will take the object 2 seconds to reach the maximum height.
Step-by-step explanation:
The original equation is [tex]h=-14t^2+56t+60[/tex].
The object reaches the maximum height when derivative of [tex]h[/tex] is zero
[tex]\frac{dh}{dt}=0[/tex]
So let us take evaluate the derivative of [tex]h[/tex]
[tex]\frac{dh}{dt} =\frac{d}{dt} (-14t^2+56t+60)=\frac{d}{dt} (-14t^2)+\frac{d}{dt}(56t)+\frac{d}{dt} (60)[/tex]
[tex]=-28t+56[/tex]
this must be equal to 0:
[tex]-28t+56=0[/tex]
[tex]t=\frac{-56}{-28}[/tex]
[tex]\boxed{ t=2}[/tex]
It will take the object 2 seconds to reach the maximum height.
ILL GIVE BRAINLY ON WHOEVER GETS IT RIGHT
On a coordinate plane, line segment A B goes from (negative 4, 3) to (negative 1, 1), segment D C goes from (1, 1) to (4, 3), segment F E goes from (3, 1) to (6, 3), segment H G goes from (negative 4, negative 3) to (negative 1, negative 1), segment I J goes from (negative 4, negative 5) to (negative 1, negative 3).
Which segment is a reflection of segment AB over the line x = 1?
Line segment C D
Line segment E F
Line segment G H
Line segment I J
Answer: b is right
Step-by-step explanation:
ms rowan is selling tickets and she already sold 15 and her goal is to sell 100. if she sells 5 tickets per day how many days until she will get to 100
can you do this as an equation pls?
Answer:
100=5x+15
x= # of days
Step-by-step explanation:
100 is the total. Then 5 tickets every day whivh would be 5x. And she already sold 15 so u add 5x and 15. (x wold be the amount of days)
Write an equation that you can use to find the value of x. Perimeter of square: 30 mm An equation that you can use is =30.
Answer:30=4x
Step-by-step explanation:
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s).
What is the mean of the given distribution, and which type of skew does it exhibit?
{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}
The mean of the distribution is
, and it exhibits a
skew.
Mean = 3.25
Solution:
Step 1 : Given data:
4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2
Step 2:
Sum of the numbers
= 4.5 + 3 + 1 + 2 + 4 + 3 + 6 + 4.5 + 4 + 5 + 2 + 1 + 3 + 4 + 3 + 2
= 52
Sum of the numbers = 52
Number of terms = 16
Step 3:
[tex]$\text{Mean}=\frac{\text{Sum of the numbers}}{\text{Number of terms}}[/tex]
[tex]$=\frac{52}{16}[/tex]
= 3.25
Mean = 3.25
Mean of the distribution is 3.25.
Answer: Mean= 3.25 with a POSITIVE skew
Step-by-step explanation:
edmentum
What is the measure of angle x
Enter your answer in the box
x = 83°
Solution:
The reference image to the answer is given below.
Sum of the adjacent angles in a straight line = 180°
⇒ ∠1 + ∠2 + ∠3 = 180° (Refer image)
⇒ 56° + ∠2 + 41° = 180°
⇒ 56° + 41° + ∠2 = 180°
⇒ 97° + ∠2 = 180°
⇒ ∠2 = 180° – 97°
⇒ ∠2 = 83°
In the given image ∠5 and ∠2 are vertically opposite angles.
Vertical angle theorem:
Vertically opposite angles are equal.
⇒ ∠5 = ∠2
⇒ x = ∠2
⇒ x = 83°
Hence the measure of angle x is 83°.
8 cm
5 cm
10 cm
12 cm
Find the area of the figure.
41 cm
90 cm2
95 cm
100 cm?
Answer:
its 90cm^2
Step-by-step explanation:
hope d answer will help u
An annual membership at a swim club cost $30. Members must also pay $5 monthly locker fee, and $2 fee each time they use the facility. Which of the following can be used to find the total annual cost (A) for a membership? (hint: there are 12 months in a year)
Answer:
30+(5X12)+2x=90X2x
Step-by-step explanation:
5x12= 60
60+30=90
90x2x
We don't know how many times they use the facility so it stays 2x and you have to times that by 90 since that's the total cost minus the 2x.
what is maximum and minimum of f(x)=7x^2
Answer:
Minimum value is 0
Maximum value is undefined.
Step-by-step explanation:
The given function is [tex]f(x)=7x^2[/tex]
This function is a parabola that has its vertex at the origin.
The coefficient of the quadratic term is 7, which is greater than zero.
This means that, the graph will open up.
The graph will therefore have a minimum value of y=0
The graph of this function does not have a maximum value.
Write a number of your choice, using the following clues:
a two digit number
greater than 40
divisible by both 2 and 3
Answer:
42 and 72
Step-by-step explanation:
How fast can a car going that traveled 330 and 1/3miles in 5 and 1/4 hour
Answer:
62.9mi/hr
Step-by-step explanation:
How far the car is moving is the speed.
We need to calculate the speed given that, the distance traveled is [tex]330\frac{1}{3} \:miles[/tex]
The time given is [tex]5\frac{1}{4}[/tex] hours.
Recall that: [tex]Speed=\frac{Distance}{Time}[/tex]
We plug in the values to get:
[tex]Speed =\frac{330\frac{1}{3} }{5\frac{1}{4} }[/tex]
We simplify to get:
[tex]Speed=\frac{3964}{63} =62.\overline{920634}[/tex]
What is the value of F(x) = 4x+9
When x= 5
Answer:
f(5) = 29
Step-by-step explanation:
Step 1: Identify the function
f(x) = 4x + 9
Step 2: Let x equal 5 in the function
f(5) = 4(5) + 9
Step 3: Multiply
f(5) = 20 + 9
Step 4: Add
f(5) = 29
Answer: 29
Answer:
[tex]F(x)=29[/tex]
Step-by-step explanation:
Given function:
[tex]F(x) = 4x+9[/tex]
Find F(x) at , [tex]x= 5[/tex]
The value of 'x' is given for which we have to find the value of F(x)
Putting the given 'x' in the function equation
[tex]F(x) = 4x+9\\\\ F(x) = 4(5)+9\\\\ F(x) = 20+9\\\\ F(x) = 29[/tex]
So , [tex]F(x)=29[/tex] at [tex]x=5[/tex]
An airplane flying at a velocity of 610 m/s lands and comes to a complete stop
over a 53 second period.
a) Did this airplane speed up or slow down? Explain your reasoning.
b) Did this airplane accelerate or decelerate? Explain your reasoning.
c) Should your answer be positive or negative? Explain your reasoning.
d) Calculate the acceleration.
A) The airplane slowed down. It states that the plane lands and come to a complete stop over a 53 second period.
B) It decelerates. The speed doesn't increase. It slows down.
C) The answer should be positive. Although the deceleration is slowing down the plane, it's not going at a negative speed.
D) The answer is 11.5m/s. I divided the velocity by the amount of seconds it takes to make a complete stop.
The following information should be considered;
A) The airplane falled down. It states that the plane lands and come to a complete stop over a 53 second period.
B) It decelerates. The speed doesn't increase. It slows down.
C) The answer should be positive. The deceleration is slowing down the plane, it's not going at a negative speed.
D) The answer is 11.5m/s. I divided the velocity by the amount of seconds it takes to make a complete stop.
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Which equation represents the line shown in the graph below ? *20 points* I NEED IT ASAP !!!
Answer:
B
Step-by-step explanation:
In a short story, a character decides to distance himself
from his family by moving away. When he does, life
becomes difficult. He realizes how often he had relied on
his family for support and encouragement. In order to
respect his plea for independence, his family had refrained from contacting him. In the end, the character moves back to his hometown and is happier because of it.
Which common literary theme is best illustrated by the passage?
Answer:
A)
Step-by-step explanation:
The theme is a message that the story was trying to portray. In the story, it seems that the character realizes that his home life and family matter more to him than he thought which is why he moved back to his hometown and became happy from that. He moved away thinking that life would be better without his family and soon regrets it.
The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74 . Find their ages.
Answer:
The age of Noelle's dad is 54 years and that of Noelle is 20 years.
Step-by-step explanation:
Let the age of Noelle's dad is x years and that of Noelle is (74 - x) years.
{Since, the sum of their ages is 74}
Now, given that the age of Noelle's dad is 6 less than 3 times Noelle's age.
So, 3(74 - x) - 6 = x
⇒ 4x = 222 - 6 = 216
⇒ x = 54
So, the age of Noelle's dad is 54 years and that of Noelle is (74 - 54) = 20 years. (Answer)
2 is underlined 12.917 what is the place value for 2
Answer: 2 is the nearest whole number.
Step-by-step explanation:
HELP NOW PLS what is (x+6)
x+6 is x+6. It's an expression. Not sure what you need help with.
Answer:
You set the problem =0, so (x+6)=0.
Then, you do the inverse to get x alone. 6-6(cancels out) and 0-6 is -6.Now your equation should look like x=-6 and you’re done.
Step-by-step explanation:
Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?
On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1).
(–5, 3)
(3, –5)
(5, –3)
(–3, 5)
The coordinates of C’ is (-5,3), the correct option is A.
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Thus, if you're reflecting a point (x,y) along x axis, then its x
abscissa will stay same but y
ordinates will negate. Thus (x,y) turns to (x, -y)
Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)
Given;
On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1).
Now,When a point is reflected across the y-axis, the rule is:
(x,y)→ (-x,y)
C (5.3)= C' (-5,3)
Therefore, the reflection on C will be C (5.3) C' (-5,3).
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Another submarine descent can be represented as y= -240 x where y is the elevation and x is time in hours. How long will it take this submarine to make the descent
Answer:
8.75h
Step-by-step explanation:
8.75 hours will be taken by the submarine to make the descent.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that a submarine’s descent can be represented as y = -240x, where y is the elevation and x is time in hours.
We need to find the the time it will take this submarine to make the descent to the seafloor 2,100 feet below the surface
Since the submarine to make the descent to the seafloor 2,100 feet below the surface
So y = - 2100
So y = - 240x gives
- 2100 = - 240x
Divide both sides by -240
x=8.75
Hence, 8.75 hours will be taken by the submarine to make the descent
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Supria and Elle live 21 miles apart. They leave their respective homes at the same time to go for
a jog. They begin running toward each other with the intent of meeting. Supria runs at a
constant rate of 8 miles per hour and Elle runs at a constant rate of 8 miles per hour. A third
friend starts at Supria's house and rides her bike toward Elle's house and rides her bike toward
Elle's house at a constant rate of 10 miles per hour. How far will the bicyclist have ridden when
Supria and Elle finally meet?
Answer:
[tex]d3=13.125[/tex] [tex]miles[/tex]
Step-by-step explanation:
Given data:
[tex]total[/tex] [tex]distance = 21[/tex] [tex]miles[/tex]
[tex]s1=8[/tex] [tex]miles/hr[/tex]
[tex]s2=8[/tex] [tex]miles/hr[/tex]
[tex]s3=10[/tex] [tex]miles/hr[/tex]
First we have to find out the how much time it takes when Supria and Elle meet.
As we know,
[tex]Displacement=rate*time[/tex]
[tex]d1=s1*t[/tex]
[tex]d2=s2*t[/tex]
[tex]d1+d2=21[/tex]
[tex]8t+8t=21[/tex]
[tex]16t=21[/tex]
[tex]t=21/16[/tex]
Now we can find that how much the third friend had traveled during this time period
[tex]d3=s3*t[/tex]
[tex]d3=10*21/16[/tex]
[tex]d3=13.125[/tex] [tex]miles[/tex]
Using the digits 0 to 9, at most one time each, fill in the boxes to create a square, with one of the vertices at (2,3). Hint: 2 and 3 are already used (so they cannot be used again); not all numbers will be used.
Answer:
A(2,3), B(6,4), C(5,8), D(1,7)
Step-by-step explanation:
We were given the initial vertex at (2,3).
We want to create a square using the digits 0 to 9, at most one time each.
Keeping in mind the following properties of a square:
All sides are congruent
All angles are right angles
Hence the other three vertices are: B(6,4), C(5,8), D(1,7)
See attachment.
The question is about forming a square using unique digits from 0 to 9 to form coordinates with one vertex at (2,3). The coordinates of the square are (2,3), (4,3), (4,5) and (2,5) using digits 0,2,3,4 and 5.
Explanation:This type of problem is a geometric shape puzzle that involves basic principles of coordinate geometry and the usage of digits 0 to 9. Let's consider the point (2,3) as the bottom-left vertex of the square.
We know that a square has all sides equal, so we can choose point (4,3) as the bottom-right vertex (2+2=4), then (4,5) as the top-right vertex (3+2=5), and finally (2,5) as the top-left vertex.
We used the numbers 0,2,3,4,5 from the set of digits from 0 to 9.
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If triangle RAT was rotated 270° clockwise about the origin to create triangle R’S’T, what would be the length of segment S’T’?
Yo sup??
Actually the lenght of the segment won't change cause rotation about origin doesn't affect the lenght of the triangle.
Therefore
ST=S'T'=8 units
Hope this helps.
A tank has 15 gallons of water in it when water begins draining from the tank. (Recall that water weighs 8.345 pounds per gallon.)
Define a function f that determines the number of gallons of water in the tank, f ( w ) , in terms of the number of pounds of water that have drained from the tank since the tank started draining, w .
Answer:
[tex]f(w) = 15 - \frac{w}{8345}[/tex]
Step-by-step explanation:
Water begins draining from a tank when the tank has 15 gallons of water in it.
Now, if we define f(w) as a function that represents the number of gallons of water remains in the tank after w pounds of water that have drained from the tank since the tank started draining, then the function can be represented as
[tex]f(w) = 15 - \frac{w}{8345}[/tex]
Since, w pounds of water is equivalent to [tex]\frac{w}{8345}[/tex] gallons of water. (Answer)
(Recall that water weighs 8.345 pounds per gallon.)
The function f should be defined is [tex]f(w) = 15 - \frac{w}{8345}[/tex]
Important information:A tank has 15 gallons of water in it when water begins draining from the tank. (Recall that water weighs 8.345 pounds per gallon.)
Function:Since we have to defined the function so it is f(w) that shows the number of gallons of water remains in the tank after w pounds of water.
So, the function should be [tex]f(w) = 15 - \frac{w}{8345}[/tex]
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Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?
Reflect the parent function over the y-axis, and translate it 3 units to the right.
Reflect the parent function over the y-axis, and translate it 3 units to the left.
Reflect the parent function over the x-axis, and translate it 8 units to the right.
Reflect the parent function over the x-axis, and translate it 8 units to the left.
Answer:
Reflect the parent function over the x-axis, and translate it 8 units to the left.
Step-by-step explanation:
The given function is
[tex]y = - \sqrt{x + 8} [/tex]
The parent function is
[tex]y = \sqrt{x} [/tex]
Since there is a negative multiply the transformed function, there is a reflection in the x-axis.
Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.
Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.
Take the reflection of the graph about the x-axis and then translate the graph of the function by 8 units in the left direction and this can be determined by using the rules of transformation.
Given :
Function -- [tex]\rm y = - \sqrt{x+8}[/tex]
The following steps can be used in order to determine the correct statement:
Step 1 - The parent function is given below:
[tex]\rm y = \sqrt{x}[/tex]
Step 2 - Now, draw the graph of the parent function.
Step 3 - Take the reflection of the graph about the x-axis. So, the function becomes:
[tex]y =- \sqrt{x}[/tex]
Step 4 - Now, translate the graph of the function obtained in the above step by 8 units in the left direction. So, the function becomes:
[tex]y = -\sqrt{x+8}[/tex]
Therefore, the correct option is D).
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URGENT! PLEASE HELP!
Find the roots of f(x)=x^2+10x−96
Question 6 options:
x=8 or x=−12
x=6 or x=−16
x=−6 or x = 16
x =8 or x =12
Answer:
the answer is x=6 or x=-16
The correct answer is x = 6 or x = -16.
To find the roots of the quadratic function f(x) = x2 + 10x - 96, we need to solve the equation x2 + 10x - 96 = 0 using the quadratic formula.
Using the quadratic formula, x = (-b ± √(b2 - 4ac)) / 2a, where a = 1, b = 10, and c = -96, we get x = 6 or x = -16 as the roots of the function f(x).
Therefore, the correct answer is x = 6 or x = -16.
x = 5
y = -3 What is the solution to the system of equations?
Answer:
y=5m-3
Step-by-step explanation:
Expand the following expression.
2/5(2x-7)
(just checking again)
Answer:
b
Step-by-step explanation:
2 x 2 = 4/5
2 x -7 = -14 / 5
Answer:
B) 4/5x-14/5
Step-by-step explanation:
2/5(2x-7)
2/5*2x= 4/5x
2/5*7=14/5