Answer:
Okay, so 2 years later, here's your answer.
472 adult tickets and 868 student tickets were sold.
Step-by-step explanation:
Let x be the number of adult tickets sold.
Let y be the number of student tickets sold.
Your Equations:
x + y = 1340 tickets
5x + (1)y = $3228
Isolate the y variable:
y = 1340 - x
y = 3228 - 5x
Substitute:
1340 - x = 3228 - 5x
Solve:
1340 - x = 3228 - 5x
Add 5x on both sides
1340 + 4x = 3228
Subtract 1340 on both sides
4x = 1888
Divide 4 on both sides
x = 472
Plug in x into an equation:
472 + y = 1340
Subtract 472 on both sides
y = 868
472 adult tickets were sold
868 student tickets were sold.
Voted myself a 1-star XD
It costs $8.50 to park a vehicle at the Wild Rapids Water Park. The admission price to the park is $27.50 per person. If a group in one vehicle spends $228.50 to park and enter the park, how many people attended? Write an equation, and then solve.
Answer:
8 people
Step-by-step explanation:
step1:move 8.50 to the other side
228.50=8.50+27.50x
220=27.50x
step 2:find x by dividing
220=27.50x
x=8
hope this helps,mark me brainliest.
There are 8 people who attended the park.
To solve the problem, let's define the variables and write an equation. Let x be the number of people who attended. The total cost is the sum of the parking fee plus the admission fees.
The parking fee is $8.50, and the admission fee per person is $27.50. Therefore, the total cost can be expressed as:
Total Cost = Parking Fee + (Admission Fee per Person * Number of People)
This simplifies to:
$228.50 = $8.50 + $27.50 * x
First, subtract the parking fee from the total cost:
$228.50 - $8.50 = $27.50 * x
$220 = $27.50 * x
Now, divide both sides by the admission fee per person to find x:
x = $220 / $27.50
x = 8
Thus, 8 people attended the park.
Create a rational function with a non-constant denominator) that has NO vertical
asymptotes.
Answer:
[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]
Step-by-step explanation:
A rational function with no vertical asymptotes contains an avoidable discontinuity, an example is presented hereafter:
[tex]y = 3[/tex]
[tex]y = 3\cdot 1[/tex]
[tex]y = 3\cdot \frac{x+1}{x+1}[/tex]
[tex]y = \frac{3\cdot (x+1)}{x+1}[/tex]
Which of the following triangle lengths form right triangles? Select all that apply
(7, 11, 13)
(10,24,26)
(12, 16, 20)
(12, 35, 37)
(13, 15, 19)
Answer:
B,C,D
Step-by-step explanation:
The correct option is (10,24,26) , (12, 16, 20) and (12, 35, 37).
What are the three sides of a right triangle?In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles.
What is considered a right triangle?A right triangle is a triangle with one right angle (one angle equal to 90°). The side opposite the right angle (the longest side) is called the hypotenuse. The remaining two sides (the sides that intersect to determine the right angle) are called the legs of the right triangle.
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Find the area of the polygon.
_12 cm
| 19 cm
12 cm
The area of the polygon is |
square centimeters.
Answer:
[tex]A = 1172.965\,cm^{2}[/tex]
Step-by-step explanation:
Let be a side of 12 cm (l) and an apothem of 19 cm (p). First, the number of sides has to be determined:
[tex]n =\frac{360^{\textdegree}}{2\cdot \tan^{-1}\left(\frac{6\,cm}{19\,cm} \right)}[/tex]
[tex]n = 10.271[/tex]
The polygon has ten sides and the side length shall be re-adjusted:
[tex]\theta = \frac{360^{\textdegree}}{10}[/tex]
[tex]\theta = 36^{\textdegree}[/tex]
The side length is:
[tex]l = 2\cdot (19\,cm)\cdot \tan 18^{\textdegree}[/tex]
[tex]l = 12.347\,cm[/tex]
The area of the polygon is:
[tex]A = \frac{n\cdot l \cdot p}{2}[/tex]
[tex]A = \frac{(10)\cdot (12.347\,cm)\cdot (19\,cm)}{2}[/tex]
[tex]A = 1172.965\,cm^{2}[/tex]
0.00005026 as a scientific notation
Answer:
5026*10^-5
Step-by-step explanation:
Answer:
5.026 x 10-5
Step-by-step explanation:
Taylor is thinking of a three-dimensional object.
All interior angles are right angles.
The object has 8 vertices.
Only 4 of the object's 6 faces are congruent.
Which figure best describes the object that Taylor is thinking of?
A.
cube
B.
rectangular prism
C.
triangular prism
D.
square pyramid
NEED HELPP
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
In a survey, 15 high school students said they could drive
and 15 said they could not. Out of 60 college students
surveyed, 30 said they could drive. Micah concluded that
knowing that a person is in college means they are more
likely to drive. Is Micah's conclusion correct?
Answer:
No
Step-by-step explanation:
this is because only 50% of the college students said they could drive there fore it doesn't make sense.
Answer:No, Micah is not correct. Since there are equal numbers in the group that drive and the group that doesn’t drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.
Step-by-step explanation: its on e2020
Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke?
Answer: 3/10 of a mile
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the 2/5 of the way that she travelled on her bike before it broke by the total distance (3/4 of a mile)
2/5 x 3/4 = 3/10 of a mile
She travelled 3/10 of a mile on her bike before it broke
Feel free to ask for more if needed or if you did not understand something.
Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke, found by multiplying 2/5 by 3/4. Equation: Distance on bike = (2/5) × (3/4).
To find out what fraction of a mile Rose traveled on her bike before it broke, we need to find 2/5 of 3/4 mile.
[tex]\[ \text{Distance traveled on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]
[tex]\[ = \frac{2}{5} \times \frac{3}{4} \][/tex]
[tex]\[ = \frac{2 \times 3}{5 \times 4} \][/tex]
[tex]\[ = \frac{6}{20} \][/tex]
[tex]\[ = \frac{3}{10} \][/tex]
So, Rose traveled [tex]\( \frac{3}{10} \)[/tex] of a mile on her bike before it broke.
The equation for this would be:
[tex]\[ \text{Distance on bike} = \left(\frac{2}{5}\right) \times \left(\frac{3}{4}\right) \][/tex]
Complete Question:
Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke? Show your work and write an EQUATION in the box to the right.
John and Sarah are each saving money for a car. The total amount of money John will save is given by the function j(x)= x^2 +2x, where x represents the number of weeks. The total amount of money Sarah will save is given by the function s(x)= -3x+6, where x represents the numbers of weeks.
Explain the point of intersection in context to the problem. Show all work
Answer:
See below.
Step-by-step explanation:
Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.
y = x^2 + 2x
y = -3x + 6 so
x^2 + 2x = -3x + 6
x^2 + 5x - 6 = 0
(x + 6)(x - 1) = 0
So x = 1 ( we ignore the negative)
So after 1 week they have saved the same amount and the amount is -3 + 6 = 3.
Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!
Bree made 48 cookies. She used 1,104 chocolate chips for all of the cookies. How many chocolate chips were in each cookie?
Answer:
23
Step-by-step explanation:
its 23 beacuase 1104 divided by 48 is 23 so its 23 chips
Answer: 23
Step-by-step explanation: 1,104 divided by 48 = 23
A touch tank has a height of 3 feet. Its length is three
times the width. The volume of the tank is 270 cubic feet.
Find the length and width of the tank,
3 ft
Answer:
5.5 cu ft vol = L*w*h* w=x L= 3x h=3
270= 3[3x*x]
Final answer:
To find the length and width of the touch tank, we need to use the formula for the volume of a rectangular tank. By substituting the given values and solving the equation, we can find the width and length.
Explanation:
Let's assume that the width of the touch tank is x feet. So, the length of the tank would be 3x feet.
The volume of a rectangular tank is given by the formula volume = length × width × height. We can substitute the given values into this formula.
270 = (3x) * x * 3
Simplifying the equation, we get:
270 = 9x^2
Dividing both sides of the equation by 9:
x^2 = 30
Taking the square root of both sides of the equation:
x = √30 ≈ 5.48
Therefore, the width of the touch tank is approximately 5.48 feet. Since the length is three times the width, the length would be approximately 3 × 5.48 = 16.44 feet.
Finish the phrase "Lack of planning on your part doesn't require..." (use all lowercase letter and put spaces between each word).
Help me please !
Its another lock
Answer:
"Lack of planning on your part doesn't require an emergency on my part."
Step-by-step explanation:
Doesnt it say it in the photo?
Steve bought a triangular mat to cover a corner of his room. How much area of the floor will this mat cover?
A. 60 square feet
B. 80 square feet
C. 48 square feet
D. 24 square feet
Please help worth 40 points!
Answer:
i believe is c
Step-by-step explanation:
because you addd 10 plus 8 times 6.
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the floor that will be covered by the Matt is 24 sq. ft.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
The area of the floor covering will be equal to the area of the triangular carpet. Therefore, using the Heron's formula we can write,
s = (10+8+6)/2 = 12
Area of the triangle = √[12(12-10)(12-8)(12-6)] = √(12×2×4×6) = 24 sq ft.
Hence, the area of the floor that will be covered by the Matt is 24 sq. ft.
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can someone help me with this equation plsss i really need it
3(6x–5)–7(3x+10)=0
Answer:
-28 1/3
Step-by-step explanation:
40.40
What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary.
V = 52 in 3
14.7 in2
Please hurry 29 points
17.3 in2
18 5 in 2
19.5in 2
Answer:
D) 19.5 in^2
Step-by-step explanation:
Volume is 1/3base * height
52in^3 = 1/3x*8
multiply by 3
156in^3 = x*8
divide by 8
19.5 = x
x = 19.5
Answer:
D
Step-by-step explanation:
The cost to enter a waterpark increases from $56 per person to $73 per person. What percent of the entry fee increase
Final answer:
The percent increase of the waterpark's entry fee is approximately 30.36%, which is calculated by finding the difference between the new and original cost, dividing by the original cost, and then converting that number to a percentage.
Explanation:
To calculate the percent increase of the entry fee to the waterpark, we need to follow these steps:
Find the amount of the increase by subtracting the original cost from the new cost.Divide the amount of the increase by the original cost.Multiply the result by 100 to convert it to a percentage.Step 1: The increase in cost is $73 - $56 = $17 per person.
Step 2: The increase divided by the original cost is $17 ÷ $56 ≈ 0.30357.
Step 3: To find the percent increase, we multiply the result from step 2 by 100: 0.30357 × 100 ≈ 30.36%.
Therefore, the percent increase of the entry fee is approximately 30.36%.
To find the percent increase in the entry fee, subtract the old fee from the new fee, divide by the old fee, and multiply by 100. The entry fee increase is approximately 30.36%.
Explanation:To find the percent increase in the entry fee, you need to calculate the difference between the new fee and the old fee, and then divide that difference by the old fee. Finally, multiply the result by 100 to get the percentage.
Find the difference in the fees: $73 - $56 = $17Divide the difference by the old fee: $17 ÷ $56 ≈ 0.3036Multiply the result by 100 to get the percentage: 0.3036 × 100 ≈ 30.36%The entry fee increase is approximately 30.36%.
is the expression 4 - x the same as x – 4? Explain
Answer:
Yes
Step-by-step explanation:
The order of the factors does not alter the product
Yes because of your property’s
if the volume of a cube is 1,000 cubic feet what is the surface area
Here,
volume(v)=1000 ft^3
also,
v=l^3
or,1000=l^3
therefore,
l=10ft
Now,
Surface area(A)=6l^2
=6×10^2
=600 ft^2
Hope it helps!!!!!
If the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.
What is a cube?A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.
The volume of a cube can be calculated as the cube of the sides of a given figure.
The volume of a cube = side ^3
Given ; if the volume of a cube is 1,000 cubic feet
The volume(v) = 1000 ft^3
also, The volume(v) = l^3
or,1000 = l^3
therefore, l = 10ft
The side of the given cube is 10 feet.
Now,
The Surface area(A) of a cube = 6l^2
= 6 × 10^2
= 600 ft^2
Hence, if the volume of a cube is 1,000 cubic feet then the Surface area(A) of a cube of side 10 feet would be 600 ft^2.
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Solve the following systems: 3x+4y=0 2x+3y=1
Answer:
Answer is x= -4 and y= 3
Step-by-step explanation:
[tex]given \: equations \: are \\ 3x + 4y = 0 \: \: and \: 2x + 3y = 1 \\ multiply \: by \: 2 \: in \: first \: equation \\ 6x + 8y = 0 \\ multiply \: by \: 3 \: in \: second \: equation \\ 6x + 9y = 3 \\ subtracting \: the \: above \: mentioned \: equation \: \\ we \: get \: - y = - 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 3 \\ substitute \: y = 3 \: in \: first \: equation \\ 3x + 4(3) = 0 \\ 3x = - 12 \\ x = - 4[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
a) Write down 375 as the product of prime factors.
Give your answer in index form.
b) Work out the highest common factor of 375 and 150.
Answer:
a) 3x5³
b) 75
Step-by-step explanation:
a) find the Prime factors of 375 by dividing your number by prime numbers (you answers must be whole) use a factor tree to help you
a) do the same to 150
one you have you answers in this case we have
375- 3x5x5x5
150 - 2x3x5x5
you collect all the like terms, this will be 3x5x5 then you just simply multiply it And it gives you 75
375 as a product of prime factors is 3x5^3 and the highest common factor of 375 and 150 is 25.
Explanation:To express 375 as the product of prime factors, you must first determine the prime numbers that when multiplied together will equal 375. The prime factors of 375 are 3 and 5. So, 375 can be written as 3x5^3.
Next, to find the highest common factor of 375 and 150, you need to first find the prime factors of both numbers. As shown above, the prime factors of 375 are 3 and 5. The prime factors of 150 are 2, 3 and 5.
The highest common factor is identified by locating the largest number that can divide both numbers without leaving a remainder. The highest common factor of 375 and 150 is hence, 25 because it's the greatest factor that both numbers have in common.
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The Lumberjack Hardware store found that 5 out of every 10 paint sprayers they recently received were not properly assembled. If they received 385 paint sprayers, about how many paint sprayers can they expect to be faulty?
Answer: 193 faulty paint sprayers
Step-by-step explanation: 5/10 is = to 1/2 so half of them are faulty
next divide 365 by 2 to get 192.5 remember if the decimal is 5 or greater you can round up since you cannot have half a paint sprayer you have to round up to 193 paint sprayers
hope this helps mark me brainliest if it helped
what is -2(x-5)-4=-22 ??
Answer:
x = 14
Step-by-step explanation:
-2(x-5)-4=-22
Distribute
-2x +10 -4 = -22
Combine like terms
-2x+6 =-22
Subtract 6 from each side
-2x+6-6 = -22-6
-2x = -28
Divide each side by -2
-2x/-2 = -28/-2
x = 14
You roll a 6-sided die two times. What is the
probability of rolling a 6 the first time and 2
the second time?
*write your answer as a fraction
Answer:
First time : 1/6
Second time : 1/6
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
Since it is a six-sided die, you will roll every number at least one time, making the answer 1/6
Which sphere has a volume of approximately 113.1 cubic inches?
A.Glass ball: r = 3 inches
B.Soccer ball: r = 4 inches
C.Lamp: d = 10 inches
Answer:
it's a glass ball r = 3 inches
Step-by-step explanation:
edgenutiy
Answer:
glass ball 3 inches ( ; ( :
Step-by-step explanation:
Which sphere has a volume of approximately 113.1 cubic inches?
Glass ball: r = 3 inches
A glass ball.
Soccer ball: r = 4 inches
A soccer ball.
Lamp: d = 10 inches
A round lamp.
Peter ran 4 ⅔ miles on Tuesday. On Wednesday, he ran ⅘ of this distance. How far did he run?
Answer:
3.73333
Step-by-step explanation:
Answer:
Step-by-step explanation:
Distance = 4/5 of 4 2/3
[tex]=\frac{4}{5}*\frac{14}{3}\\\\=\frac{4*14}{5*3}[/tex]
= 56/15
= 3 11/15 miles
I will comment the other answer choices but help me please
Do I choose A or B?
If so: B
Trapezoid $RSTU$ is a cross section of a lampshade. The diagonals of $RSTU$ are congruent, and the measure of $\angle S$ is $112\degree$ . What is the measure of $\angle U$ ?
The sum of the angle ∠T and angle ∠U will be a 180°. Then the angle ∠U will be 68°.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
Trapezoid RSTU is a cross-section of a lampshade.
The diagonals of RSTU are congruent, and the measure of angle S is 112 degrees.
Then the measure of angle U will be
Angle S and angle T are equal.
∠S = ∠T = 112°
And the sum of the angle ∠T and angle ∠U will be a 180°.
Then we have
∠T + ∠U = 180°
112° + ∠U = 180°
∠U = 68°
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The measure of angle U in the trapezoid RSTU with congruent diagonals and angle S measuring 112 degrees is 68 degrees, using the properties of an isosceles trapezoid.
To find the measure of in the trapezoid RSTU, with diagonals congruent and the measure of angle S being 112 degrees, we need to use the properties of a trapezoid and the fact that the diagonals are congruent. In an isosceles trapezoid, the base angles are congruent, meaning angles S and U are congruent because diagonals are congruent. Since the sum of angles in a quadrilateral is 360 degrees, we can set up an equation: 2(112) + 2(angle U) = 360.
Solving for angle U, we get:
224 + 2(angle U) = 3602(angle U) = 136angle U = 68 degreesHence, the measure of angle U in the trapezoid RSTU is 68 degrees.
If r = 4 and ^a8 = 100, what is the first term of the geometric
sequence?
The first term of the geometric sequence is 0.0061
Step-by-step explanation:
The general form of geometric sequence is a, ar, ar²,ar³,.......
where,
a is the first term of the sequence.r is the common ratio. Here, the common ratio r = 4.The 8th term of the sequence is 100. Hence n = 8.The formula to find the nth term of the geometric sequence is given by :
⇒ [tex]n_{th} term = ar^{n-1}[/tex]
⇒ [tex]8_{th}term = a\times4^{8-1}[/tex]
⇒ [tex]100 = a \times 4^{7}[/tex]
⇒ [tex]100 = a \times 16384[/tex]
⇒ [tex]a = \frac{100}{16384}[/tex]
⇒ a = 0.0061
Therefore, the first term of the geometric sequence is 0.0061
Answer:
The first term of the geometric sequence is 0.0061
What do the three red tiles in the model of the equation below represent?
2 long x tiles and 3 square 1 tiles = 3 negative x tiles
–3
3
–3x
3x
Answer:
the answer is c
Step-by-step explanation:
Answer:
The answer is -3x because the red tiles represent -x so since there are 3 -x tiles the answer would be -3x
Find the rule of f(2)
Answer:
f(2) = 25
Step-by-step explanation:
Given
f(x) = [tex](5)^{x}[/tex]
To evaluate f(2) substitute x = 2 into f(x)
f(2) = [tex](5)^{2}[/tex] = 25