Mr. Ramirez bought 6 tickets to the circus. He spent a total of $12.00. He used the equation below to determine the cost of each ticket, t. 6t = 12.00 How much money did Mr. Ramirez spend on each ticket?
Answers
Mr. Ramirez spend $2 on each ticket.
What is equation?
Equations are an essential aspect of mathematics and science. They are mathematical expressions that establish an equivalence between two quantities, usually represented by variables. Equations are used to describe relationships between different parameters in the physical world, such as distance, time, speed, acceleration, and force, to name a few. In this essay, we will explore the concept of equations, their types, and their applications in various fields.
An equation is a statement that shows two mathematical expressions that are equal to each other. It can be represented in different ways, such as in the form of a formula, a graph, or a table. Equations can be solved by manipulating the variables and simplifying the expression until a solution is obtained. The solution is the value or values that make the equation true.
Equations can be classified into different types based on the number of variables, the degree of the equation, and the type of operations used. Some of the most common types of equations are linear equations, quadratic equations, polynomial equations, and differential equations. Linear equations are the simplest type of equation and involve only one variable. Quadratic equations involve two variables and can be represented as a parabola in a graph. Polynomial equations involve more than two variables and can be of any degree. Differential equations involve derivatives and are commonly used in physics and engineering to describe the behavior of systems.
Here given equation is 6t=12.
To solve for the cost of each ticket, we can rearrange the equation 6t = 12 to isolate t, which represents the cost of one ticket.
Dividing both sides of the equation by 6, we get,
t = 12/6
Simplifying the right-hand side,
t = 2
Therefore, each ticket cost is $2.00.
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Related Questions
Lines CE and AD intersect at point B. 37° What is the measure of angle DBE? 370 530 O 1270 0 1430
Answers
Answer:
idk how to answer
Step-by-step explanation:
i need more info
Answer:
127 degrees
Step-by-step explanation:
it obtuse
i need help finding the missing angle measurement
Answers
This means the two missing angles are the same.
Angles in a triangle add to 180 so 180-90 ( the right angle) = 90.
We divide this by 2 to get one angle which is 45 degrees
In a class of 35 pupils, 15 are girls how many are boys
Answers
Answer: 20 boys
Step-by-step explanation:
35 - 15 = 20
Pls help asap , i will mark u brainlist thanks
Answers
Formula for area is width times height so multiply dimensions by each other.
Use FOIL for (x-5)(x+1)
x*x=x^2 x*1=x -5*x=-5x -5*1=-5
add variables to get: x^2 -4x -5 for the area of the first rectangle. For the second rectangle (x-2)*5 = 5x-10 in area. Add both areas to get the total area x^2 +x -15. We are told that the total area is equal to 75m^2 so x^2+x-15=75. Subtract 75 from both sides to get x^2+x-90=0
Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
Answers
The probability that he gets at least as many heads as tails is half or 50%.
What is the formula for probability?Probability is obtained by dividing the number of chances that it will take to realize a result by the number of total possible chances. To get the right probability for the question asked here, we need to determine:
The number of chances is equal to 4.
The total number of possible chances is given by the equation:
4 × 2 = 8
Two is obtained by recognizing the fact that there are two sides to the coin. So, he could either get a head or a tail when he tosses the nickel.
Therefore;
4/8 = 1/2 or 50%
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A very, very hungry guy goes to a fast food place and orders 2 chicken sandwiches
and 4 tacos, at a total cost of $6.60. Three days later, he's ready to eat again. This
time, he buys 5 chicken sandwiches and 2 tacos, at a total cost of $9.30. Write and
solve a system of linear equations. Identify the cost of one chicken sandwich, and the
price of one taco.
Answers
Answer:Burgers are $1.50 and tacos are $0.90
Step-by-step explanation:Let b denote burgers and t denote tacos. Our equations are then:2b+4t=6.605b+2t=9.30Multiply bottom equation by 2 to get 10b+4t=18.60. Subtract the two equations to get:-8b=-12b=12/8=1.5Plug this back into either equation, I'll use the first one, 2(1.5)+4t=6.60. t=0.90.
sixty+percent+of+the+students+at+an+orientation+are+men+and+30%+of+the+students+at+the+orientation+are+arts+majors.+therefore,+60%+x+30%+=+18%+of+the+students+at+the+orientation+are+male+arts+majors.
Answers
According to the given percentages, 18% of the students at the orientation are male arts majors.
The statement correctly calculates that 60% of the students at the orientation are men and 30% are arts majors.
To determine the percentage of students who are male arts majors, we multiply these two percentages together: 60% x 30% = 18%. Therefore, 18% of the students at the orientation are male arts majors.
This calculation follows the principles of probability, where the intersection of two events (being a male and being an arts major) is determined by multiplying the probabilities of each event occurring individually.
In this case, it results in 18% of the students meeting both criteria.
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Question - Sixty percent of the students at an orientation are men and 30% of the students at the orientation are arts majors. Therefore, 60% X 30% = 18% of the students at the orientation are male arts majors.
( 2x^3 + 4x^2 -5x + 11 ) + ( 6x^3 - 9x^2 - 6x + 21 ) - plz
Answers
Answer:
8x^3-5x^2-11x+32
Step-by-step explanation:
The value of a mobile sets of same models in two shapes A and B are given below.
Shop A- Marked price=Rs 25,000, Discount=10%, VAT=13%
Shop B- Marked price=Rs 24,000, Discount=8%, VAT=13%
Which shop is more expensive and by what percent?Find it
Answers
Shop A is more expensive by 1.8 % percentage .
The price displayed on the product label is called the display price or list price. This is the price at which the product will be sold. If discount is offered, M.P. > SP If no discount is offered, M.P. < SP. Discounting is the process of determining the present value of future payments or cash flows to be received. Value Added Tax (VAT) is a consumption tax on goods and services that add value at every stage of the supply chain, from initial production to the point of sale. The amount of VAT paid by the user is based on the cost of the product minus the material costs of the product already taxed in previous stages which is given by \(S.P=M.P\times\frac{100-D}{100}\) ....(1)It is given that shop A has Marked price =Rs 25,000, Discount=10%, Putting above values in equation (1) we get
\(S.P=25000\times\frac{100-10}{100} \\\\S.P=25000\times\frac{90}{100} \\\\\S.P=22500\)
Rate of VAT 13% is given by
\(=\frac{13}{100} \times 22500\\\\=2925\)
The amount to be payed for buying mobile set is \(=22500+2925=25425\)
It is given that shop B has Marked price =Rs 24,000, Discount=8%, Putting above values in equation (1) we get
\(S.P=24000\times\frac{100-8}{100} \\\\S.P=24000 \times\frac{92}{100} \\\\S.P=22080\)
Rate of VAT 13% \(=13\% \ 22080\)
\(=\frac{13}{100} \times 22080\\\\=2870.4\)
The amount to be payed for buying mobile set is\(=22080+2870.4=24950.4\)
As the amount of shop A is more than shop B so , shop A is more expensive
Percentage \(= \frac{25425-24950.4}{25425}\times100\)
\(= \frac{474.6}{25425}\times100\\\\=0.01866\times100\\\\=1.8\%\)
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-1/2 (-3y + 10)
Please, I need help on this one.
Answers
Answer:
\( - \frac{1}{2} ( - 3y + 10) \\ \\ = \frac{3}{2} y - \frac{10}{2} \\ \\ = { \boxed{ \boxed{ \frac{3}{2} y - 5}}}\)
particle moves with its position given by x= cos(2t) and y= sin (t), where positions are given in feet from the origin and time t is in seconds.
A. find the speed of the particle
speed =
B. Find the first positive time when the particle comes to a stop
t=
C. If n is any odd integer, write a formula (in terms of n) for all positive times t at which the particle comes to a stop
t=
Answers
Particle moves with its position given by x= cos(2t) and y= sin (t), where positions are given in feet from the origin and time t is in seconds. The speed of the particle at any time t is v = \(\sqrt\)(4sin²(2t) + cos²(t)).
For the speed of the particle, we can calculate the magnitude of its velocity vector.
The velocity vector can be obtained by differentiating the position vector with respect to time.
We have the position of the particle as x = cos(2t) and y = sin(t), we can differentiate these equations to find the corresponding velocity components:
vx = dx/dt = -2sin(2t)
vy = dy/dt = cos(t)
The magnitude of the velocity vector (v) is given by the square root of the sum of the squares of its components:
\(\sqrt\)(vx² + vy²) = \(\sqrt\)((-2sin(2t))² + (cos(t))²)
Simplifying this expression:
v = \(\sqrt\)(4sin²(2t) + cos²(t))
This is the speed of the particle at any given time t.
Note that the speed is not constant but varies with time due to the periodic nature of the sine and cosine functions.
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What is -3(5x-1)=-27?
Answers
Answer:
2
Step-by-step explanation:
5x-1=9
5x=9+1
5x+10
x=2
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Answers
Select the correct answer.
The box plot shows the number of hours the students in Mr. Quentin's class spent doing online research for a science fair project.
What is the shape of this data set?
A. skewed left
В. skewed right
C. symmetrical
D. cannot be determined
here
Answers
I don’t know how to do this question and my math teacher is not helpful
Answers
Answer:
i think its 4.7
Step-by-step explanation:
Answer:
AC is an enlargement of AE
scale factor = 11.7 ÷ 5.2 = 2.25
CD is an enlargement of AB
10.5 ÷ 2.25 = 4.666666...
= 4.7 (rounded to nearest tenth)
1) Write a polynomial equation for a function with a graph that bounces off the x-axis at (-1,0),
crosses it at (4,0), and goes through the point (-2, -18).
Answers
Answer:
f(x) = 3x³ -6x² -21x -12
Step-by-step explanation:
You want a polynomial function that touches the x-axis at x = -1, crosses it at x = 4, and goes through the point (-2, -18).
Factored formEach zero (p) of a polynomial corresponds to a linear factor (x -p). If the zero has even multiplicity, the function will not change sign there, but will touch the x-axis and "bounce".
The requirements indicate a factor (x +1) with even multiplicity, and a factor (x -4). The least-degree such polynomial will have the factored form ...
f(x) = a(x +1)²(x -4)
ScalingThe value of this polynomial at x = -2 is ...
f(-2) = a(-2 +1)²(-2 -4) = -6a
We want this to be -18, so ...
-6a = -18 ⇒ a = 3
Then the factored polynomial is ...
f(x) = 3(x +1)²(x -4)
When we multiply this out, we get ...
f(x) = 3x³ -6x² -21x -12
__
Additional comment
The attached graph verifies the desired characteristics.
(G.5d, 1 pt) Determine the range for the measure of AC. А 10 m B 13 m O A. 10
Answers
The length of a side must be less than the sum of the other two sides. Here, that means x < 10+13, or x < 23.
In addition, remember that the length of a side must be greater than the difference of the other two sides. That means x > 13 - 10, or x > 3.
Therefore we have two limits for the value of x: 3 and 23.
3 < x < 23
In 1980 the average price of a home in Brainerd County was $92,000. By 1985 the average price of a home was $112,000. Which of the following is a linear model for the price of a home, P, in Brainerd County in terms of the year, t? Let t = 0 correspond to 1980.
Answers
A linear model for the price of a home, P, in Brainerd County in terms of the year, t is
P(t) = 8t + 92000How to find the linear model for the price of homeA linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
definition of variable to suit the problem
y = output variable = P
m = slope
x = input variable = t
c = y intercept
NOTE: y is same as P, and x is same as t
the slope m of a linear model is solved by
m = (y₂ - y₁) / (x₂ - x₁)
substituting the values
= (112000 - 92000 ) / (5 - 0)
= 20 / 4
= 5
applying point slope formula for a line passing through points (0, 92000)
(y - y₁) = m (x - x₁)
y - 92000 = 8 (x - 0)
y - 92000 = 8x
y = 8x + 92000
for x = y and y = p the linear model is p(t) = 8t + 92000
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Using an integrating factor, solve y-y-5 CD- in the method for solving a first-order linear differential equation, the first step is to put the equation in the standard form y alty bit). is the given equation in the standard form? No Yes Identify a(t) and bit)
Answers
The value of a(t) is -1 and b(t) is 55 + \(e^t\)
No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.
In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.
For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:
μ(t) = e^∫a(t)dt
To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.
To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).
Comparing the given equation with the standard form, we can identify:
a(t) = -1
b(t) = 55 + \(e^t\)
Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)
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Help please it will mean a lot to me
Answers
Answer: Whole= Part x %/100
Step-by-step explanation:
All of the other equations are algabraecally correct when solving for either part whole or percent but Whole \(\neq\) Part x %/100
i need help to this homework
Answers
The value of cosec ( Ф/2 ) obtained using the double angles formula and half angle identity is : cosec ( Ф/2 ) = 5/√2.
Explain about the double angles formula?In trigonometry, the double angles for trigonometric functions are dealt with via the double angle formulas. Other significant double angle formulas include:
sin 2A = 2 sin A cos Acos 2A = cos2A - sin2Atan 2A = (2 tan A) / (1 - tan2A)cos Ф = 3/5
By using half angle identity:
cos( Ф/2 ) = ± √(1 + cosФ)/2
cos( Ф/2 ) = ± √(1 + 3/5)/2
cos( Ф/2 ) = ± √8/10
cos( Ф/2 ) = ± √2/5
In first quadrant:
cos( Ф/2 ) = +√2/5
Using reciprocal identity:
cosec ( Ф/2 ) = 1/ cos( Ф/2 )
cosec ( Ф/2 ) = 1/√2/5
cosec ( Ф/2 ) = 5/√2
Thus, the value of cosec ( Ф/2 ) obtained using the double angles formula and half angle identity is : cosec ( Ф/2 ) = 5/√2.
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Find the domains of the following functions:
Answers
Subtract 38¢ from $5.60. Include the dollar sign and no spaces in your answer.
Answers
Answer:
$5.22
Step-by-step explanation:
you would subtract so 5.60-.38=$5.22
Answer:
$5.22
Step-by-step explanation:
$5.22-0.38
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Solve for the variable and give an exact answer.
Answers
Answer:
4√ 2
Step-by-step explanation:
2x^2=64 and x^2 = 32 so x= 4√ 2
Use the Cramer’s Rule to solve each system.4. 6x+y=-28 -2x-2y=6
Answers
Given:
\(\begin{gathered} 6x+y=-28...........(1) \\ -2x-2y=6............(2) \end{gathered}\)To find:
The solution.
Explanation:
Using the Cramer's rule,
\(\begin{gathered} A=\begin{bmatrix}{6} & 1 \\ {-2} & {-2}\end{bmatrix} \\ |A|=6(-2)-1(-2) \\ =-12+2 \\ |A|=-10 \end{gathered}\)\(\begin{gathered} A_x=\begin{bmatrix}{-28} & {1} \\ {6} & {-2}\end{bmatrix} \\ |A_x|=(-28)(-2)-(1)(6) \\ =56-6 \\ =50 \end{gathered}\)\(\begin{gathered} A_y=\begin{bmatrix}{6} & {-28} \\ {-2} & {6}\end{bmatrix} \\ |A_y|=(6)(6)-(-28)(-2) \\ =36-56 \\ |A_y|=-20 \end{gathered}\)Let us find the value of x and y.
\(\begin{gathered} x=\frac{|A_x|}{|A|}=\frac{50}{-10}=-5 \\ y=\frac{|A_y|}{|A|}=\frac{-20}{-10}=2 \end{gathered}\)Therefore, the solution is (-5, 2).
Final answer:
The value of x is -5 and the value of y is 2.
The solution is (-5, 2).
O A school distributes a total of Rs 13,800 as scholarship to its three students, each student from the classes 5, 8 and 10 in the ratio of the number of their classes. Answer the following questions. (a) Write the ratio at which the amounts is distributed to the students.
Answers
Answer:
5:8:10
Step-by-step explanation:
the first who was in class 5 had 3000 Rs
the second who was in class 8 had 4800 Rs
the third who was in class 10 had 6000 Rs
Chester scored 84, 88, and 80 on his first 3 math tests. How can you find Chester's mean, or average, score on these tests?
Answers
Answer:
Add and Divide.
Mean = 84
Step-by-step explanation:
Mean ( math word) and average (common usage word) tell us to ADD up the numbers in the list of data and DIVIDE by the number of pieces of data.
Here we add:
(80 + 84 + 88)
then divide by 3, because there's 3 numbers in this list.
(80 + 84 + 88)/3
= 252/3
= 84
The mean, or average is 84.
the length of a rectanglar photograph is 7 inches more than the width. if the are is 78 inches squared, what are the dimensions of the photograph
Answers
The dimensions of the photograph are found as 13 in and 6 in.
Explain the term rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides.Let length = x.
So, width = x - 7
Area = length x width
A = x (x -7)
and A = 78 inches squared.
Thus,
78 = x (x -7)
On solving.
x² - 7x - 78 = 0
Find the factors of the quadratic equation,
x² - 7x - 78 = 0
(x - 13)(x + 6) = 0
Thus,
x = 13 and x = -6 but (x > 0)
Thus, when x = 13 in,
Width = x + 7
Width = 13 - 7
Width = 6 in
Thus, the dimensions of the photograph are found as 13 in and 6 in.
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Which expression will give the correct volume of the cylinder?
Answers
Answer:
B. 3.14(24^2)(2.5)
Step-by-step explanation:
24 is the radius and 2.5 is the height. plug it into 3.14*r^2*h
College administrators at a small, private college noticed that students who had higher high school gpas tend to have higher college gpas. What are the explanatory variable and response variable for this relationship?.
Answers
The explanatory variables and response variables for this relationship are;
b. Explanatory variable: high school GPA
Response variable: college GPA
What are explanatory variables?
When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.
Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.
Numerous variables, referred to as explanatory variables, might have an impact on the response variable.
Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.
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Complete question:
College administrators at a small, private college
noticed that students who had higher high school
GPAs tend to have higher college GPAs.
What are the explanatory variable and response
variable for this
relationship?
Explanatory variable: size of college
Response variable: college GPA
Explanatory variable: high school GPA
Response variable: college GPA
Explanatory variable: college GPA
Response variable: high school GPA
Explanatory variable: type of college (public)
Response variable: college GPA