Given that the crazy coaster has 3 trains each holding 27 people and runs 9 times in 1 hour, and also operates for 13 hours a day, it can carry a total of 9,477 people in a day.
Explanation:To figure out how many people can ride the crazy coaster each day, we need to multiply all the related factors together. First, we consider the passengers each train can carry. Each of the 3 trains can hold 27 people which makes 81 people (3 trains multiplied by 27 people each). Then, each of these trains runs 9 times in 1 hour, so that's 81 people multiplied by 9 runs, which makes 729 people per hour. Since the crazy coaster operates for 13 hours a day, that's 729 people multiplied by 13 hours, which equals 9,477 people. Therefore, a total of 9,477 people can ride the crazy coaster each day, assuming every train is full on every run.
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Mr. Hopkins has a 1-meter wire he is using to make clocks. Each fourth meter is marked off and
divided into 5 smaller equal lengths. If Mr. Hopkins bends the wire at - meter, what fraction of the
smaller marks is that?
Answer: fraction = 1/20 or 0.05
Step-by-step explanation:
Let's first convert metre to centimeter
1 metre = 100 centimeters
Given that Each fourth meter is marked off and divided into 5 smaller equal lengths. This means:
1/4 × 100 = 25
Then divide 25 into 5 places
25/5 = 5cm
If Mr. Hopkins bends the wire at - meter, what fraction of the smaller marks is that?
The fraction = 5/100 = 1/ 20 or 0.05
Mrs. Golub wants to share $7.20 equally among her three grandchildren. How much money should each grandchild get?
Answer: $2.40
Step-by-step explanation:
$7.20 divided by 3.
Answer:
They will get $2.4 each
Step-by-step explanation:
Mrs Golub haas $7.20 to share between 3 grandchildren
To share it equally, she should divide the amount by 3, which is
$7.20/3 = $2.4
Very Simple 1st to get a right answer gets Brainliest!!
The coordinates of the community center are (−5, −1). Who has a house in the same quadrant as the community center?
Dan
Joe
Lee
Roy
Answer:
Lee's house.
Step-by-step explanation:
Plot (-5, -1) on a graph and Lee's house is the closest and in the same quadrant.
Answer: LEE
Step-by-step explanation:
because its a negative and a negative.
the side of an equilateral triangle are8 units long. what is the length of the altitude of the triangle?
So, the triangle is equilateral, all its sides are equal⇒
AB=BC=AC=8
In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒
AO=OC=8:2=4
by the Pythagorean theorem
[tex]8^2=4^2+BO^2\\BO^2=64-16\\BO=\sqrt{48} \\BO=4\sqrt{3}[/tex]
Answer: BO=4√3
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P.S. Hello from Russia :^)
(4-2)^3-3x4 what is the answer
Answer:
-4.
Step-by-step explanation:
I am assuming that x means times here.
(4-2)^3-3x4
= 2^3 - 12
= 8 - 12
= -4.
Consider the figure below. What is the perimeter of the figure?
A. 73.4 units
B. 71.6 units
C. 69.1 units
D. 40.3 units
Answer:
73.4
Step-by-step explanation:
23-14=9
22.7-9=13.7
13.7+14=27.7
27.7+22.7+23=73.4
−6x−3(x−2)
PLEASE HELP
Answer:
-9x + 6
Step-by-step explanation:
-6x−3(x−2)
Solution:
-6x−3(x−2)
-6x−3x+6
-9x + 6
The Lewis family is building a circular swimming pool if the radius of the pool is 9 feet what is it’s circumference use TT =3.14 to solve
51.62
56.52
61.52
66.42
Answer:
C =56.52 ft
Step-by-step explanation:
The circumference is found by
C = 2*pi*r where r is the radius
C = 2*3.14 * 9
C =56.52 ft
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 62 centimeters. What is the approximate area of the circle? (Use 3.14 for
.)
A.
3,017.54 cm?
B. 12,070.16 cm?
C. 194.68 cm2
D. 754.385 cm?
What is the radius of the circle without the equation to solve it?
Answer:
radious 7
diameter 14
Step-by-step explanation:
Final answer:
The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle.
Explanation:
The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle. Since the value of π is approximately 3.14159, you can divide the circumference of the circle by 2π to find the radius.
For example, if the circumference of the circle is 10 units, the radius would be 10/(2π) units.
Remember to use the appropriate units for both the circumference and the radius.
Which angle is adjacent to Angle D F E?
Line A F E is horizontal. Lines B, C, and D come out of point F.
Angle A F B
Angle A F C
Angle B F D
Angle B F C
Answer:
I think its <afb
Step-by-step explanation:
The required, adjacent angle to DFE is angle BFC. Option D is correct.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Angle BFC is next to angle DFE, and they share a common side, which is line segment EF. Therefore, we can stretch this statement as follows:
"When looking at the angle DFE and moving clockwise around the vertex F, the next angle encountered is angle BFC, which is adjacent to angle DFE and shares the side EF with it."
This restatement clarifies the location and relationship of angle BFC with respect to angle DFE.
Thus, the required, adjacent angle DFE is angle BFC. Option D is correct.
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In this picture b, d, and f are midpoints. Ac=50 ce=60 and bd=35. What is bf
Answer:
BF = 30
Step-by-step explanation:
Since B and F are midpoints of AC and AE then BF is a midsegment and is one half the measure of the third side CE, thus
BF = 0.5 × 60 = 30
The value of BF will be, 30 units.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In this picture;
B, D, and F are midpoints.
And, AC = 50, CE = 60 and BD = 35.
Here, C is midpoint of CE.
Hence, We get;
⇒ CD = 1/2 × 60
= 30
Here, The length of BF is equal to the length of CD.
Hence, The value of BF = 30 units.
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Use the definition of continuity and the properties of limits to show that the function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3
Answer:
See below.
Step-by-step explanation:
First check that f(x) has a real value at x = 3:
f(3) = 3^2 + 5(3 - 2)^7
= 9 + 5 * 1^7
= 14,
So the first condition is met.
Now we check if limit as x approaches 3 exists.
As x approaches 3 from below f(x) approaches 14 and at x = 3 = 14.
As x approaches 3 from above f(x) approaches 14 and at x = 3 = 14.
These 3 conditions shows that f(x) is continuous at x = 3.
The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 because it meets all the conditions of continuity: it is defined at x = 3, the limit of the function as x approaches 3 exists, and the limit equals the function's value at x = 3.
Explanation:The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 if it satisfies the following three properties: the function is defined at x = 3, the limit of the function as x approaches 3 exists, and the function value at x = 3 is equal to the limit as x approaches 3.
Step 1
The function is defined at x = 3. When we substitute x = 3, we get f(x) = 3^2 + 5(3 - 2)^7= 9 + 5*1^7 = 14.
Step 2
The limit of the function as x approaches 3 exists. As x approaches 3 from both the left and right sides, the function takes the value 14.
Step 3
Finally, the limit as x approaches 3 is equal to the function's value at x = 3. In other words, the limit is 14, which is equal to the function's value when x = 3 (which is also 14).
Since the function satisfies all these conditions, we can say that the function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3.
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Equivalent Expression of
11 - 30x + 24
English
TIME REMAINING
56:59
A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet
is 2 feet wide. What is the area of the reduced carpet?
O 6 square feet
O 12 square feet
O 24 square feet
O 48 square feet
Save and Exit
Submit
Next
Mark this and return
Answer:
6 square feet
Step-by-step explanation:
Carpet has w= 8 ft and l = 12 ft
Reduced carpet has w' = 2 ft
Reduction factor is
8/2 = 4Then
l' = l/4 = 12/4 = 3 ftArea of small carpet
S = 2*3 = 6 ft²3. What is the area of the parallelogram below?
40.
Step-by-step explanation:
Base times height. This is a rhombus. 4 x 10 = 40. If you chop off the triangle to the right and place it on the left where 5 is, it'll be a rectangle. Formula for a rhombus is B x H, Base is 10, height is 4, and you get 40.
Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point
(5,-4)? Select three options.
y=-x-2
2x + 5y = -10
2x - 5y = -10
y+ 4 = (x - 5)
y-4 = {(x+5)
Save and Exit
Nexi
Submit
Mark this and return
Answer:
Step-by-step explanation:
hello :
given the line : 5x – 2y = -6
the answer is : 2x + 5y = -10 because :
1) this line passes through then point (5 ,-4) : 2(5)+5(-4)=-10....right
2) the slope of the given line is: 5/2 because 5x-2y=-6 equivalent to ;
2y =5x+6 so : y = (5/2)x+3
On the other hand : 2x + 5y = -10 equivalent to : 5y =-2x-10
y = (-2/5)-2 when the slope is : -2/5
the condition for the perpendicularity is : product two slope is : - 1
(5/2)(-2/5) =-1
What is 1 gallon, 3 quarts, 4 pints minus 3 quarts, 5 pints?
Solve for x to the nearest degree (34.3 = 34)
Answer:
48°
Step-by-step explanation:
We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.
This means the tangent of x° = [tex]\frac{10}{9}[/tex]. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:
[tex]x = arctan (\frac{10}{9})[/tex]
Using a calculator, the answer would be:
[tex]x = 48.0128[/tex]
Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.
Hakim was feeling adventurous at lunch. Rather than choosing a single drink, he decided to
mix together all the drink choices. He mixed an equal amount of 7 types of soda to fill his 12-
ounce cup to the brim!
How many ounces of each type of soda did hakim get?
Unit test
Which expression is the result of factoring the expression below by taking out its greatest common
factor?
12x2 + 8 = ?
cube
cylinder
hexagonal prism
square pyramid
At the toy store for cars cost $3.28 how much does it cost to buy 30 toy cars
Answer:
98.4
Step-by-step explanation:
Multiply 3.28 by 30
Answer:
$98.40
Step-by-step explanation:
3.28x30=98.4
Which cylinder has the greatest volume?
O a cylinder with a height of 9 cm and a radius of 9
cm
a cylinder with a height of 12 cm and a radius of 6
cm
a cylinder with a height of 6 cm and a radius of 12
cm
a cylinder with a height of 15 cm and a radius of 3
cm
Answer:
The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm
Step-by-step explanation:
I did it on the assignment
Answer:
The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm
Step-by-step explanation:
Find the answer please
Answer:
12.57
Step-by-step explanation:
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<) )╯ᴮᴱᶜᴬᵁˢᴱ ᴵ'ᴹ
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(_/
Answer:
4pi
Step-by-step explanation:
Pi * r^2 = area of circle
r = 2
pi*2^2 =
4pi
Help plz worth 20 points
Answer:
y=1/4x-4
Step-by-step explanation:
Answer:
y=x+3
Step-by-step explanation:
A restaurant uses 4.375 pounds of cheese for every pizzas. At this rate, how many pounds of cheese are used per pizza?
Final answer:
To determine the amount of cheese used per pizza, divide the total amount of cheese (4.375 pounds) by the number of pizzas (50), which equals 0.0875 pounds of cheese per pizza.
Explanation:
To find out how many pounds of cheese are used per pizza, we calculate the cheese usage rate by dividing the total pounds of cheese by the number of pizzas. The given information tells us that 4.375 pounds of cheese are used for every 50 pizzas. To find the amount of cheese used per pizza, we divide 4.375 pounds by 50.
4.375 pounds ÷ 50 pizzas = 0.0875 pounds per pizza
Thus, the restaurant uses 0.0875 pounds of cheese for each pizza made.
Using the Addition Method, solve for y in the following system of linear equations.
4x-2y=6
2x+y=7
Answer:
x = 3.33
y = 0.33
Step-by-step explanation:
to evaluate for y in this system of linear equation we would say that let
4x-2y=6 ........................................................... equation 1
2x+y=7 ..............................................................equation 2
from equation 2
2x+y=7 ..............................................................equation 2
y = 7 - 2x........................................... equation 3
substitute for y in equation 1
4x-2y=6 ........................................................... equation 1
4x -2( 7 - 2x) = 6
4x - 14 + 2x = 6
6x = 6 +14
6x = 20
divide both sides by 6
6x/6 = 20/6
x = 3.33
put x into equation 3
y = 7 - 2x........................................... equation 3
y = 7 -2( 3.33)
y = 7 -6.667
y = 0.33
Final answer:
To solve for y using the Addition Method, first manipulate the equations to have opposite coefficients for y, add them to find x, and then substitute x back into one of the original equations to solve for y. The solution is x = 2.5 and y = 2.
Explanation:
The student is asking how to solve for y in a system of linear equations using the Addition Method. The given system of equations is:
4x - 2y = 6
2x + y = 7
To use the Addition Method, we aim to eliminate one variable by adding the equations. First, we manipulate the equations to have opposite coefficients for the y variable. Multiply the second equation by 2:
(2x + y) × 2 → 4x + 2y = 14
Now we have:
4x - 2y = 6 (Equation A)
4x + 2y = 14 (Equation B)
Add Equation A and Equation B:
4x - 2y + 4x + 2y = 6 + 14
8x = 20
x = 20 / 8
x = 2.5
Substitute x back into the second original equation to solve for y:
2(2.5) + y = 7
5 + y = 7
y = 7 - 5
y = 2
Hence, the solution to the system of equations is x = 2.5 and y = 2.
A line segment has an endpoint at (3, 2). If the midpoint of the line segment is (6, -2), what are the coordinates of the point at the other end of the line segment?
Answer:
(9,-6)
Step-by-step explanation:
The difference between the x coordinates (3 and 6) is 3 and the y coordinates (2 and -2) is -4, so the differences need to be the same from the midpoint to the other point.
6+3=9
-2+(-4)=-6
So the coordinates are (9,-6)
Find the median of the following numbers. 14, 17, 21, 28, 40.
Answer:21
Step-by-step explanation: The median is the number in the middle sorted from least to greatest, here 21 is the middle number.
Answer:
21
Step-by-step explanation: