Students from the local high school are selling tickets to the town's annual carnival. Adult
admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first
day, 440 tickets had been sold totaling $1900. How many adults and how many children
entered the carnival during the first two hours it was open?
Answer:
320 adults and 120 children
Step-by-step explanation:
First set up two sets of equations. One will equal the total amount of money sold and the other will equal the total amount of tickets sold.
5a + 2.5c = 1900 where a is the # of adult tickets sold and c is the # of children tickets sold
a + c = 440
Now solve for either a or c in the second equation. I chose to solve for a. a=440-c
Use that to substitue into the other equation.
5 (440-c) +2.5c = 1900
2200-5c +2.5c = 1900
-5c+2.5c = -300
-2.5c=-300
c=120
Now plug 120 into the equation a+c=440 and solve for a
Copy the figure. Identify and describe the number of lines of symmetry for the
figure. List the angles of rotation for the figures that have rotational symmetry.
Answer:
Non-isosceles Trapezoid: "0" (No) number of lines of symmetry
Rotational symmetry order: 0 , Rotational Symmetry angle: none
Step-by-step explanation:
Non-isosceles Trapezoid: "0" (No) number of lines of symmetry
Rotational symmetry order: 0 , Rotational Symmetry angle: none
Which exponential expressions are equivalent to the one below? Check all that apply.
Answer: The answer is B,C, and D
Step-by-step explanation:
Whici expression could be used to represent 2/3
Answer:epression could be used to represent 2/3
1/2
1/3
1/3
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
An aquarium tank holds 285 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3.8 liters.
Answer:
75 gallons
Step-by-step explanation:
285/ 3.8= 75
so the the answer is 75
I need help fast please
Refer to the isosceles trapezoid shown. Find x
Answer:
Hey, read below!! :)
Step-by-step explanation:
Both sides are the same length. X = 70
no one ever answers my questions but please I'm begging you to please help me I'm giving away so many points please
Answer:
I think 3.
Step-by-step explanation:
You make a right triangle, an isosceles, and a scalene. You can't make an equilateral, because those sidelengths are not the same size.
Answer:
Step-by-step explanation:
make the other half of the triangle on top one and then you make another triangle out of the bottom one and make the other half so you just want to put a line from one line on the right side to the bottom line so then you just need do the same thing on the left side
Three numbers multiplied together give an answer of -12. The sum of two of the numbers is zero. What could the three numbers be?
What point lies in quadrant III
Answer:
(-3,-5)
Step-by-step explanation:
Quadrant III is on the bottom left corner.
What conclusion can you draw about angles of elevation for parasailing boats traveling at the same speed?
Question:
A boat is travelling at 30 mph has a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.
a) Draw a labelled diagram of the situation
b) Determine the angle of elevation of the parasail rider
c) Parasailing boats traveling at the same speed will have the same angle of elevation
Answer:
a) Please find the attached drawing of the parasail boat created with MS Visio
b) The angle of elevation of the parasail rider from the boat is approximately 48.6°
Step-by-step explanation:
a) Please find the labelled diagram of the parasailing boat created with MS Visio
b) sing trigonometric ratios, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
The opposite leg = The height of the parasail rider above water = 300 ft.
The hypotenuse = the length of the tow line = 400 ft.
θ = The angle of elevation of the parasail rider
[tex]\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75[/tex]
θ = Arctan(0.75) ≈ 48.6°
The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°
c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,
Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same
Plz help.
Thank u soooooo muchhh
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
12=100+0.3x
-100 -100 subtract 100 both side
-88=0.3x divide -88 into 0.3
x=-293.3
The table below shows the cost of downloading songs from a website.
Number of Songs Total Cost
At this rate, what is the cost per song?
Answer:
$1.27 per song
Step-by-step explanation:
15 / 11.85 = 1.2658 -> rounded to $1.27
18 / 14.22 = 1.2658 -> rounded to $1.27
20 / 15.80 = 1.2658 -> rounded to $1.27
The expression 4x/5 - 2x/3 is equivalent to
a. x/2
b. x/5
c. x/15
d. 2x/15
Answer:
answer is d
Step-by-step explanation:
hope it helps!!!
One year, the population of a city was 397,000. Several years later it was 412,880.
Find the percent increase.
The percentage increase from the initial population of 397,000 to 412,880 is 4%
How to determine the percentage increase?From the question, we have the following numbers:
397,000 and 412,880.
The numbers are increments from 397,000 to 412,880.
The percentage increase is calculated as:
%Percentage = (Old number - New number)/Old Number
Substitute the numbers in the above equation
%Percentage = (412880 - 397000)/397000
Evaluate the difference
%Percentage = 15880/397000
Evaluate the quotient
%Percentage = 0.04
Express 0.04 as percentage
%Percentage = 4%
Hence, the percentage increase from the initial population of 397,000 to 412,880 is 4%
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simplify the expression (4x^9 y^3) (-5x^6) (-3y^2)
Answer:
60x^15y^5
Step-by-step explanation:
60x to the power of 15 times y to the power of 5
Hope this helps!
What is the value of y for the point with an x-value of 5?
Solve for x please help me
Answer:
4
Step-by-step explanation:
By intersecting chords theorem:
[tex]12x = 3(x + 12) \\ \\ 12x = 3x + 36 \\ \\ 12x - 3x = 36 \\ \\ 9x = 36 \\ \\ x = \frac{36}{9} \\ \\ x = 4[/tex]
1 of 6
Given that a = 3.5 cm and b = 9.4 cm, work out the perimeter of the triangle.
Give your answer rounded to 1 DP.
a
b
The diagram is not drawn accurately.
Answer: 23 cm
Step-by-step explanation:
Given
[tex]a=3.5\ cm\\b=9.4\ cm[/tex]
Triangle in the figure is right-angled triangle. Therefore, Pythagoras theorem can be applied. Suppose the unknow length of the triangle is x
[tex]\Rightarrow x^2=a^2+b^2\\\Rightarrow x^2=3.5^2+9.4^2\\\Rightarrow x^2=12.25+88.36\\\Rightarrow x^2=100.61\\\Rightarrow x=10.03\ cm[/tex]
The perimeter of triangle is the sum of the lengths of sides.
[tex]\text{Perimeter }P=3.5+9.4+10.03\\\Rightarrow P=22.93\ cm\approx 23\ cm[/tex]
there are 6 pizzas to be divided for a baseball team wich has 15 players how much of each pizza will each player receive
Answer:
0.4 or 2/5
Step-by-step explanation:
A monarch butterfly averages about 50 miles per day on its migration to Mexico.
a. Complete the ratio table to show rates that are equivalent to 50 miles per day.
Time (days)
1
1
N
4
8
Distance (miles) 50
Answer:
1,50 2,100 4,150 8,400
Step-by-step explanation:
multiply each number by the time (days)
Answer:1,50 2,100 4,200 8,400
Step-by-step explanation:
If 1=50 then 2=100 just repeat that easy
Choose the inequality that represents the following graph.
1 cm - 125 miles
3. The distance between Point
A and Point B on a printed
map of Texas is 3.3 cm. Use
the map key to find the
actual distance in miles
between Point A and Point B.
3.3 cm
Record your answer and fill in
the bubbles below. Be sure to
use the correct place value.
Answer:
412.5
Step-by-step explanation:
If 1cm = 125 miles, then 3.3cm = 412.5
John claims that Point X = – 4, and Point Y = 2. Which of the following statements provide support for John's claim? Select three that apply. X < Y because X is left of Y X > Y because X is left of Y X < 0 because X is left of zero Y < 0 because Y is right of zero X > 0 because X is left of zero Y > 0 because Y is right of zero
Answer: X<Y, X>0
Because -4 is less than 0 and -4 is greater than 0
i need help pls i dont understand this
Answer:
D
Step-by-step explanation:
It catches fire at or above. so greater than or equal to. so D
If P =(2,-1) , Find the image of P under the following rotation 90 degrees
counterclockwise about the origin
( [ ? ] , [ ? ] )
Answer:(1,2)
Step-by-step explanation:
The image of point P = (2, -1) is (1, 2)
What is rotation?"It is a transformation in which the object is rotated about a fixed point.""An object can be turned clockwise or counterclockwise on the coordinate plane"For given question,
We have been given a point P = (2, -1)
We know that if point (x, y) is rotated 90 degrees counterclockwise about the origin then the coordinates of image is (-y, x)
So, when point P is rotated 90 degrees counterclockwise about the origin then the coordinates of the image would be (-(-1), 2) = (1, 2)
Therefore, the image of point P is (1, 2)
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36/9+2/9 fraction adding!!!
Answer: 38/9
Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).
solve for x. enter you answer below as a fraction
Answer:
x=9/80
Step-by-step explanation:
Answer:
9/80
Step-by-step explanation:
[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]
[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]
[tex]5)\ x = \frac{9}{80}[/tex]
PLEASE PLEASE PLEASE HELP MEE!!!!!!!!!!!!!!!!
ALL LINKS WILL BE REPORTED!!!!
Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC?
Answer options:
A) To the right five units, down three units.
B) To the right five units, up three units.
C) To the left five units, down three units.
D) To the left five units, up three units.
Answer:
It is C
Step-by-step explanation:
A drawer contains a blue shirt, a black shirt, and a white shirt. Another drawer contains a blue pair of pants and a black pair of pants. One shirt and one pair of pants are chosen at random.
How many different possible outcomes are there?
I will mark brainiest on whoever gets it right.
Answer: 6 possible outcomes
Step-by-step explanation:
blue shirt - blue pants
blue shirt - black pants
black shirt - blue pants
black shirt - black pants
white shirt - blue pants
white shirt - black pants
6 outcomes
The total number of outcomes is given by the equation A = 6 outcomes
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the number of outcomes be represented as set A
Now , the shirts be represented as set 1
The value of set 1 = { blue shirt , black shirt , white shirt }
The number of elements in set 1 = 3
The pair of pants be represented as set 2
The value of set 2 = { blue pair , black pair }
The number of elements in set 2 = 2
Now , the total number of possible outcomes A = number of elements in set 1 x number of elements in set 2
Substituting the values in the equation , we get
The total number of possible outcomes A = 3 x 2
The total number of possible outcomes A = 6 outcomes
Therefore , the value of A is 6 outcomes
Hence , the number of outcomes is 6
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