Aaden has a points card for a movie theater.
• He receives 20 rewards points just for signing up.
• He earns 2.5 points for each visit to the movie theater.
• He needs 40 points for a free movie ticket.
a
Write and solve an equation which can be used to determine x, the number of
visits Aaden must make to earn a free movie ticket.
What’s the awnser ?
Answers
Answer:
He needs 8
Step-by-step explanation:
40 - 20 = 20
2.5 x 8 - 20
aaden needs to visit the movies 8 more times
Answer:
8
Step-by-step explanation:
20+2.5x=40
x equal the number of visits adam need to make to earn a free movie ticket
2.5x=40-20
2.5x=20
x= 20/2.5
x=8
Related Questions
625=5^(7x-3) what is x
Answers
\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)
a visitor is staying in a tent that is 9 miles west of the closest point on a shoreline to a rock formation. the rock formation is 3 miles due south of the shoreline. the visitor plans to travel from the tent to the rock formation by running and swimming. if the visitor runs at a rate of 4 mph and swims at a rate of 3 mph, how far should the visitor run to minimize the time it takes to reach the rock formation?
Answers
The distance the visitor should run to minimize the time it takes to reach the rock formation is 3/4 miles.
A unitary method is a mathematical technique used to solve problems involving proportional relationships between different quantities.
Let's use the unitary method to find the time it takes to complete the journey.
Time taken to run = Distance / Rate = x / 4
Time taken to swim = Distance / Rate = (3 - x) / 3
Total time taken = Time taken to run + Time taken to swim
= x / 4 + (3 - x) / 3
To minimize the total time taken, we need to find the value of x that minimizes the above expression. Let's differentiate it with respect to x and equate it to zero.
d/dx (x/4 + (3-x)/3) = 1/4 - 1/3 = -1/12
-1/12 = 0 (at minimum)
Solving for x, we get:
x = 3/4
The visitor should run westward along the shoreline until reaching the point 3/4 miles away from the tent, and then swim the remaining 2 1/4 miles to reach the rock formation.
To know more about unitary method here
https://brainly.com/question/28276953
#SPJ4
Solve the following difference equation where x(k) is a discrete unit step input and y(k) is the system output.
y(k) − y(k − 1) + 0.24y(k − 2) = x(k) + x(k + 1)
Answers
the solution to the given difference equation is y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)
To solve the given difference equation, we can use the Z-transform method. Let's denote the Z-transform of a function y(k) as Y(z), and the Z-transform of x(k) as X(z).
Applying the Z-transform to the given equation and using the properties of linearity, time shifting, and the Z-transform of the unit step function, we have:
z²Y(z) - zY(z) + 0.24Y(z) = (z + 1)X(z)
Next, we can rearrange the equation to solve for Y(z):
Y(z)(z² - z + 0.24) = (z + 1)X(z)
Dividing both sides by (z² - z + 0.24), we get:
Y(z) = (z + 1)X(z) / (z² - z + 0.24)
Now, we need to find the inverse Z-transform of Y(z) to obtain the time-domain solution y(k). To do this, we can use partial fraction decomposition and lookup tables to find the inverse Z-transform.
The denominator of Y(z), z² - z + 0.24, can be factored as (z - 0.2)(z - 1.2). We can then rewrite Y(z) as:
Y(z) = (z + 1)X(z) / [(z - 0.2)(z - 1.2)]
Now, we perform partial fraction decomposition to express Y(z) as:
Y(z) = A / (z - 0.2) + B / (z - 1.2)
To find the values of A and B, we can multiply both sides of the equation by the common denominator:
(z - 0.2)(z - 1.2)Y(z) = A(z - 1.2) + B(z - 0.2)
Expanding and equating coefficients, we have:
z²Y(z) - 1.4zY(z) + 0.24Y(z) = Az - 1.2A + Bz - 0.2B
Now, we can equate the coefficients of corresponding powers of z:
Coefficient of z²: 1 = A
Coefficient of z: -1.4 = A + B
Coefficient of z⁰ (constant term): 0.24 = -1.2A - 0.2B
Solving these equations, we find A = 1, B = -2.4.
Substituting these values back into the partial fraction decomposition equation, we have:
Y(z) = 1 / (z - 0.2) - 2.4 / (z - 1.2)
Now, we can use the inverse Z-transform lookup tables to find the inverse Z-transform of Y(z):
y(k) = Z⁻¹{Y(z)} = Z⁻¹{1 / (z - 0.2) - 2.4 / (z - 1.2)}
The inverse Z-transform of 1 / (z - 0.2) is given by the formula:
Z⁻¹{1 / (z - a)} = \(a^k\)
Using this formula, we get:
y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)
Therefore, the solution to the given difference equation is y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)
Learn more about Z-transform method here
https://brainly.com/question/14979001
#SPJ4
Find the median of the data points 60, 52, 11, 29, 46, 9, 33
Answers
Answer:
33 Hope this helps.
Step-by-step explanation:
The median is 33.
The mode is 60,52,11,29,46,9,33.
The mean is 34.2857
Answer:
The median is 31
Step-by-step explanation:
since there is an even number of data points you add the two middle most points and divide them by 2
michelle says that 4,902 x 0.001 is the same as 4,902 ÷ 10³
Answers
Answer:
Michelle is correct.
Step-by-step explanation:
The statement Michelle said is valid and correct since 10 to the power of 3 in the denominator is equivalent to 0.001 in the numerator.
Dividing by 1,000 is the same as multiplying by 0.001.
2. A square field is 1/8 mile long on each side. A tractor can plow about 180,000 square
feet per hour. To the nearest tenth of an hour, about how long does it take to plow the
field? (1 mile = 5280 feet)
Answers
A square is a geometric shape also known as a quadrilateral. It is called a quadrilateral because it has four sides. The four sides of a square have equal length.
It will take 2.4 hours to plow the square field.The area of a square = (Side length)²We are given the conversion rate: 1 mile = 5280 feetStep 1: We convert the length of the side of the square from mile to feet
1 mile = 5280 feet
1/8 mile = y feet
y feet = (1/8 mile x 5280 feet) / 1 mile
y feet = 660 feet.
The length of the side of the square in feet is 660 feet
Step 2: We find the area of the square.The area of a square = (Side length)²
Area of the square = (660 feet)²
= 435,600 square feet.
The area of the square field is 435,600 square feet
Step 3: To find how long it will take to plow the field180,000 square feet = 1 hour
435,600 square feet = h
Cross Multiplyh = 435,600 square feet x 1 hour / 180,000 square feet
h = 2.42 hours
Therefore, approximately to the nearest tenth of an hour, it will take 2.4 hours to plow the square field.
To learn more please visit the link below:
https://brainly.com/question/20711914
A population consists of 400 elements. We want to draw a simple random sample of 40 elements from this population. On the first selection, what is the probability of an element being selected? a. 0.001 b. 0.0025 c. 0.025 d. 0.1
Answers
The probability of an element being selected is 0.1
The probability of an element being selected on the first selection from a simple random sample of 40 elements from a population of 400 is 0.1
Explanation: Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Probability is used in statistical analysis to make predictions and draw conclusions about data.
In this question, the population consists of 400 elements, and a simple random sample of 40 elements is to be drawn from it.
The probability of an element being selected on the first selection is the same as the probability of any one of the 400 elements being selected, which is 1/400 or 0.0025.
Therefore, the correct answer is option (d) 0.1
To know more about Probability, refer here:
https://brainly.com/question/30034780
#SPJ11
DAVID PLZ HELP LAST ONE
Answers
Answer:
1.D
2.c
Step-by-step explanation:
f(m/4)=8(m²/16)-4(m/4)
=m²/2-m
f(-4)=-3(-4)²+5(-4)
=-3(16)-20
=-48-20
=-68
Answer:
THE ANSWER IS 68
Step-by-step explanation:
A 15-foot ladder is leaning against a wall of a building. If the top of the ladder makes a 72° angle with the wall of the building, approximately how high above the ground is the top of the ladder?
Answers
Answer:
14.2665 feet above the ground
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's call the height of the ladder on the wall "h". Then we have:
sin(72°) = h/15
Multiplying both sides by 15, we get:
h = 15 sin(72°)
Using a calculator, we find that sin(72°) is approximately 0.9511. So:
h ≈ 15 × 0.9511
h ≈ 14.2665
Therefore, the top of the ladder is approximately 14.2665 feet above the ground.
hello, last question on my test, PLS answer
1] What is the probability that the spinner will NOT land on a 5 or 8?
a] 1/3
b] 1/4
c] 3/4
d] 1/5
![hello, last question on my test, PLS answer1] What is the probability that the spinner will NOT land](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Za6WaPabMuRKbiyFQLbwC3RRrvR1Olvr.png)
Answers
Answer:
A 1/3
Step-by-step explanation:
I hope this helps, let me know if you need the work
Because there are 8 in all and if you take out the 5 and 8 the fraction becomes 6/8 which simplifies to 3/4 hope that wasn’t to confusing sorry
Which of the following is an example of mechanical weathering?
A.lichen growing on rocks
B.salt crystallization forming tafoni
C.stone and boulders moved by water
D.acid in water acting on limestone
(Trust me, It's math)
Answers
Answer:
C
Step-by-step explanation:
Mechanical weathering, also called physical weathering and disaggregation, causes rocks to crumble. Water, in either liquid or solid form, is often a key agent of mechanical weathering. For instance, liquid water can seep into cracks and crevices in rock.
Answer:
Stone and boulders moved by water
Step-by-step explanation:
in triangle ABC, AB = 6 cm, BC = 13cm and angle ACB = 23 degrees. Calculate angle BÁC, which is obtuse.
Answers
Answer:
\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)
Step-by-step explanation:
\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)
Which table represents a linear function?
Answers
Answer: table C or 3
Step-by-step explanation:
If you graph it on paper then it creates a straight line, where the others do not.
Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollars. 0.8d Choose... d – 0.2 Choose... d – 0.2d Choose... 1 – 0.2d Choose...
Answers
The expression that represents a 20% discount off the price of an item that originally cost d dollars include:
0.8d
d - 0.2d
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this case, the cost of the item is d. Since there's a 20% discount, the new cost will be:
= d - (20% × d)
= d - 0.2d
= 0.8d
The cost is 0.8d.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
COLOR THEME
ZOOM
15. Find x. Assume that any segment that appears to be tangent is tangent.
o
60
R
S
o
T т
650
43
155
50
U
O
45
Answers
Answer:
Option 4
Step-by-step explanation:
"Angle formed between a secant and a tangent at a point outside a circle is equal to half of the difference of the measure of the intercepted arcs"
By applying this theorem in the figure given in the picture,
m∠RST = \(\frac{1}{2}[\text{m(arc TU - m(arc RT))}]\)
\(x=\frac{1}{2}(155-65)\)
\(x=\frac{1}{2}(90^0)\)
\(x=45^0\)
Therefore, Option 4 is the correct option.
the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
Answers
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1] is the orthogonal basis for w using Gram-Schmidt process.
Given,
The set;
x₁ = [1 -4 0 1]
x₂ = [7 -7 -6 1]
We have to produce the orthogonal basis for w using the Gram-Schmidt process;
Here,
y₁ = x₁ = [1 -4 0 1]
Now,
Solve for y₂
y₂ = x₂ - [x₂y₁ / y₁y₁] y₁
That is,
y₂ = [7 -7 -6 1] - ( [7 -7 -6 1] [1 -4 0 1] / [1 -4 0 1] [1 -4 0 1] ) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 36/18 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 2 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - [2 8 0 2]
y₂ = [5 1 -6 -1]
That is,
The orthogonal basis for w using Gram-Schmidt process is,
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1]
Learn more about Gram-Schmidt process here;
https://brainly.com/question/17132977
#SPJ4
what are the tables of values for 2cos(3Theta)?
Answers
The tables of values for 2cos(3θ) are 2, 0, -1.41, -2 and 0.
When we multiply cos(Theta) by 2 and then take the cosine of 3θ, we get a new trigonometric function that has different values for different values of Theta. To create a table of values for 2cos(3θ), we need to substitute different values of Theta into the function and calculate the corresponding output.
Let's take some values of Theta and calculate the corresponding values of 2cos(3θ):
• When Theta is 0 degrees, 2cos(3θ) is 2cos(0), which is equal to 2.
• When Theta is 30 degrees, 2cos(3θ) is 2cos(90), which is equal to 0.
• When Theta is 45 degrees, 2cos(3θ) is 2cos(135), which is approximately equal to -1.41.
• When Theta is 60 degrees, 2cos(3θ) is 2cos(180), which is equal to -2.
• When Theta is 90 degrees, 2cos(3θ) is 2cos(270), which is equal to 0.
We can continue this process to generate more values and create a table of values for 2cos(3θ). By substituting different values of Theta into the function and calculating the corresponding outputs, we can observe patterns and relationships between the input and output values.
To know more about trigonometric function here
https://brainly.com/question/25618616
#SPJ4
6) What is the volume of the sphere? Show your work. Include
correct units. Round your answer to the nearest tenth.
5 mi
Lo
Answers
Answer:
Assuming that "5 mi Lo" means a sphere with a radius of 5 miles, we can use the formula for the volume of a sphere:
V = (4/3)πr^3
where V is the volume of the sphere, r is the radius, and π is the mathematical constant pi (approximately equal to 3.14159).
Substituting the given radius of 5 miles into the formula, we get:
V = (4/3)π(5^3)
V = (4/3)π(125)
V = (4/3)(3.14159)(125)
V = 523.59833 cubic miles
Therefore, the volume of the sphere is approximately 523.6 cubic miles (rounded to the nearest tenth).
The volume of the sphere is 523.6 mi³
What is the volume of a sphere?The volume of a sphere is given by V = 4πr³/3 where r = radius of sphere
Since we require to find the volume of the sphere with radius 5 mi, we substitute the value of the radius into the equation.
So, we have that V = 4πr³/3
So, substituting the value of the radius into the equation, we have
V = 4π(5 mi)³/3
= 4π × 125 mi³/3
= 500π mi³/3
= 1570.796 mi³/3
= 523.6 mi³
The volume is 523.6 mi³
Learn more about volume of a sphere here
https://brainly.com/question/29625600
#SPJ1
PLEASE HELP I HAVE 10 MINUTES LEFT!
label each pair of triangles with the postulate or theorem that proves the triangles are congruent.
Answers
Im actually having my teacher look at this one right now. Give me a second.. My teacher said try side angle side... I have no idea
if there are ten marbles, 2 yellow, 3 pink, and 5 blue, what is the probability of drawling two yellow marbles if the first one is placed back in the bag before the second draw
Answers
Answer:
what comprise horn of africa
a restaurant customer left 0.70 as a tip the tax was 8% and the tip was 10% of the after cost which information is not needed to compute the bill after tax and tip what was the total bill
Answers
Answer:the answer is b.
Step-by-step explanation:
Does this scatter plot show a positive trend a negative trend or no trens
Answers
We can see that over the range given the points present a negative trend [The points get closer and closer to the x-axis the more they get away from the y-axis].
Which of the ratios below has a unit rate of 5?
Answers
Answer:
Would you mind including the ratios in the comments?
You didn't post any material to solve.
Ms. Alonzo was hired to build a scale model of a submarine for a naval history exhibit. She has the
measurements shown in the table.
Submarine
Scale Model
Width: 42 feet
Width: ?
Length: 560 feet
Length: 72 inches
If the model of the submarine will have a length of 72 inches, what will be the width of the model?
A. 1.7 inches
B. 5.4 inches
C. 7.8 inches
D. 13.3 inches
Answers
Answer:
13.3
Step-by-step explanation:
Please help!
I solved this problem over and over and when I typed it in, it was still incorrect >:(
(Also, it can be rounded to the nearest tenth)
Answers
we know the sphere has a diameter of 16, thus its radius must be half that, or 8.
\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3} ~~\begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}~\hfill~ V=\cfrac{4\pi (8)^3}{3}\implies V=\cfrac{2048\pi }{3}\implies V\approx 2144.7\)
Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)
x + y = 0, x = -0, y = 0
0 Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these
Answers
The cube root of 70029
Answers
Answer:
70029 = 41.218543511072
Step-by-step explanation:
u sed.
each polynomial? Explain the method
How would you check if the factors obtained are correct
Which of the following polynomial expressions did you f
Answers
Answer:
46
Step-by-step explanation:wrhwefefewfoheqijfqwhfgq38fh
Sadpha ran 2 1/4 kilometres each day for 3 days, 1 1/2 kilometres each day for the next 2 days and then ran 1 1/4 kilometres for the last day. how many kilometres did sadpha run altogether in the 6 days?
Answers
Answer: 11 Kilometre
Step-by-step explanation:
The explanation has been provided in the attached file. Please find the attachment.
Evaluate and check:
3/5c = -15
Answers
Answer:
c=3.6 or 18/5
Step-by-step explanation:
3/5c=-15
×5c
=3=-15×5c
+15
=18=5c
÷5
c=3.6 or 18/5
Answer:
C = - 25
Step-by-step explanation:
3/5c = -15
3c/5 = -15
5. 3c/5 = 5 ( - 15)
3c = 5 (-15)
3c= - 75
3c/3 = - 75 /3
C = - 25