364
x 75
-------------
1820
+2548
---------------
27300
Answer is 27300!
Question 3
A group of 5 people went to the movies and spent $44 on food and drink. The total amount spent, including
tickets, was $98.50.
What was the price, in dollars, of one ticket?
Answer:
One ticket cost $10.90.
Step-by-step explanation:
The total spent was $98.50--food, drinks, admission--everything.
$44.00 was for food and drinks.
We can take the 44 away from the total.
98.50 - 44.00
= 54.50
They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.
54.50 ÷ 5 = 10.90
The price of one ticket was $10.90
To make this look like algebra class...
let x = the price of one ticket
5x = the price of 5 tickets
5x + 44 = 98.50
subtract 44
5x = 54.50
divide by 5
x = 10.90
US Department of Transportation As part of a study on transportation safety, the US Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Data collected over a one-year period are shown in the table.Use regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age of 21.Discuss your findings.What conclusions and recommendations can you derive from your analysis?Percent Under 21 Fatal Accidents per 100013 2.96212 0.7088 0.88512 1.65211 2.09117 2.62718 3.838 0.36813 1.1428 0.6459 1.02816 2.80112 1.4059 1.43310 0.0399 0.33811 1.84912 2.24614 2.85514 2.35211 1.29417 4.18 2.1916 3.62315 2.6239 0.8358 0.8214 2.898 1.26715 3.22410 1.01410 0.49314 1.44318 3.61410 1.92614 1.64316 2.94312 1.91315 2.81413 2.6349 0.92617 3.256
Answer:
we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21Step-by-step explanation:
WITH THE GIVEN DATA
A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21
to fit into a regression line we must have ∝ and β
where β = \(\frac{S_{xy} }{S_{xx} }\) = 0.2871
and ∝ = y - βx = - 1.5974
regression line = ∝ + β * x
insert values into regression line equation
regression line = -1.5974 + 0.2871 * x
we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974
B ) conclusion and recommendations can you derive from your analysis
it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21
using the correlation coefficient ( r ) = \(\frac{S_{xy} }{\sqrt{S_{xx}*S_{xy} } }\) = 0.8394
Answer:
0.8394
Step-by-step explanation:
.
$640 , 3% , 2 years Find the simple interest earned to the nearest cent for each principal , interest rate , and time
The simple interest for principal of 640 and rate of 3% and time of 2 years is $3.84
How to find the simple interestThe Simple interest the end of 2 years is calculated using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = $640
rate= 3%
time = 2 years
plugging in the values
Simple interest = Principal * time * rate / 100
Simple interest = 640 * 2 * 3 /100
Simple interest = 3840 / 100
Simple interest = $3.84
The simple interest is $3.84
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!
A washer and dryer cost a total of 928$. The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Answer:
Cost of Washer = $696
Cost of Dryer = $232
Step-by-step explanation:
Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.
Put the equation together, so we can add the x variables together.
3x + x = 4x
The total cost will be what the '4x' is equal to.
4x = 928
Going back to algebra, we solve the equation by dividing both sides by 4.
x = 232
Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.
3x
3(232) = 696.
To check the answer, we can add them together to make sure we get the total cost.
696 + 232 = 928
For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
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One coffee dispenser can produce 2 cups of coffee in 5 minutes. A second coffee dispenser can produce 3 cups of coffee in 7 minutes. Assuming both machines are being used at the same time continuously, how long would it take to produce 116 cups of coffee?
Then it would take 116/0.8286 = 140.10 minutes (rounded to two decimal places) or approximately 2 hours and 20 minutes to produce 116 cups of coffee using both machines continuously.
To calculate the time it would take to produce 116 cups of coffee using both machines continuously, we need to first determine how many cups of coffee each machine produces per minute.
For the first machine, it produces 2 cups in 5 minutes, which means it produces 2/5 = 0.4 cups of coffee per minute.
For the second machine, it produces 3 cups in 7 minutes, which means it produces 3/7 = 0.4286 cups of coffee per minute (rounded to four decimal places).
To find out how long it would take to produce 116 cups of coffee using both machines, we need to divide the total number of cups by the combined rate of production.
Combined rate of production = rate of first machine + rate of second machine
= 0.4 + 0.4286
= 0.8286 cups per minute (rounded to four decimal places)
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On a 9 question multiple-choice test, where each question has 5 answers, what would be the probability of getting at least one question wrong?
Answer:
P(at least one wrong) = 1- P(all correct) =1-.25^6=1-1/4096=4095/4096. This assumes that the answers are picked at random. This kind of question is always the complement of an extreme binomial outcome.
At a construction job for a house, 5 painters
were tasked with painting the interior. These
painters made up 20% of the painting crew,
so how many painters in all worked on this
job?
Domain and range of T
Answer:
Let's list out the points that belong to T. They are T{(-1, -4), (2, 2), (2, -3)}.
The domain is all of the x values. Therefore the domain is {-1, 2}.
The range is all of the y values. Therefore the range is {-4, -3, 2}.
We don't use ( ) or [ ] because T is a discrete relation.
help me with this question
How much more money does it cost to burn trash than to send it to a landfill? Sanitation Costs (per pound) Recycling $30 Landfilling $50 Burning $75 2,000 pounds = 1 ton/ $25 per ton / $25 per pound / $45 per ton / $45 per pound
Answer:
Sanitation Costs (per pound) Recycling $30 Landfilling $50 Burning $75 2,000 pounds = 1 ton/ $25 per ton / $25 per pound / $45 per ton / $45 per pound
Step-by-step explanation:
PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B
Answer/Step-by-step explanation:
Part A:
(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)
Solve for x
6x + 2 + 8x + 6 + 7x + 4 = 180
Add like terms
21x + 12 = 180
21x + 12 - 12 = 180 - 12
21x = 168
21x/21 = 168/21
x = 8
Part B:
Method 1:
m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)
m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)
Plug in the value of x
m<CFD + 6(8) + 2 + 8(8) + 6 = 180
m<CFD + 48 + 2 + 64 + 6 = 180
m<CFD + 120 = 180
m<CFD + 120 - 120 = 180 - 120
m<CFD = 60°
Method 2:
m<CFD = m<AFE (vertical angles are congruent)
m<CFD = (7x + 4)° (substitution)
Plug in the value of x
m<CFD = 7(8) + 4
m<CFD = 60°
let $l$ be the line with equation $\dbinom{10}{3} \dbinom{-2}{1}t$. let $\mathbf{v}$ be a vector from the origin to a point on $l$. find the minimum value of $\|\mathbf{v}\|$.
The minimum value of \($\|\mathbf{v}\|$\) is zero.
The minimum value of \($\|\mathbf{v}\|$\) is zero, as it is the distance between the origin and a point on the line. To solve this problem, the formula \($\|\mathbf{v}\| = \sqrt{x^2 + y^2}$\) can be used, where x and y are the coordinates of the point on the line. Since the equation of the line is \($\dbinom{10}{3} \dbinom{-2}{1}t$\), the coordinates of the point on the line can be found by substituting \($t = 0$: $x = 10 \cdot 0 - 2 \cdot 0 = 0$, and $y = 3 \cdot 0 + 1 \cdot 0 = 0$\) . Substituting these values into the formula for \($\|\mathbf{v}\|$ gives $\|\mathbf{v}\| = \sqrt{0^2 + 0^2} = 0$\). Therefore, the minimum value of \($\|\mathbf{v}\|$\) is zero.
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PLEASE HELP!!
The most a baker can spend on strawberries is $95.00. Strawberries cost $3.99 per pound, and the produce supplier charges a $15.20 delivery fee. The following inequality, where s stands for the number of pounds of strawberries, represents this situation:
Answer:
$95.00 = $3.99s + $15.20
Peggy and her mom have been living alone in an island ever since Peggy was born. To keep track of how old her daughter is, every day after Peggy was born, her mom carves a tick mark into a tree.
One day, Peggy's mom counted 2000 tick marks on the tree. How many years old is Peggy, rounded off to the nearest year? Remember that a year has 365 days.
Answer:
5 years
Step-by-step explanation:
Divide 365 by 2000. The answer is 5.4794. Rounded to the nearest whole it is 5.
Answer:
5 years
Step-by-step explanation:
What we know:
- 2000 days passed (since each tick mark represents a day)
- One year has 365 days
Let \(x\) represent the number of years that passed.
If each year has 365 days, 365 multiplied by the number of years that passed should equal 2000.
\(365x=2000\)
Divide both sides by 365 to isolate x
\(\frac{365x}{365} =\frac{2000}{365}\)
\(x\) ≈ \(5\)
Therefore, Peggy is 5 years old.
I hope this helps!
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
the mean, the median, and the are basic statistical measures that determine characteristics of a given group of numbers.
Answer:
middle set of data
Step-by-step explanation:
you can have the points
in order for a researcher to obtain a raa researcher is interested in average first semester change in weight (gain or loss) for students at a local college. thus, they record the individual change in weight for a small group of 25 freshman from this college during their first semester. then, the researcher calculates the average change in weight during the first semester among these 25 students. the average is an example of a .ndom sample, they need to specifically do which of the following things?
The average of a sample of any data set as given here is an example of a statistic. Hence, option D is the correct answer.
A parameter and a statistic are very similar to one another. Parameters are numerals that are used to describe the properties of total populations. Statistics are numerals that are used to describe the properties of samples. For example, the average age of everyone in a country is a parameter while the average of just 25 peoples' age is a statistic.
Here, we have been told that the researcher recorded the individual change in weight for a small group of 25 freshmen from this college during their first semester, and then, the researcher calculated the average change in weight during the first semester among these 25 students. Hence, we know that the average here is a statistic. So, option D is the correct answer.
The complete question that you might be searching for is given below -
In order for a researcher to obtain a raa researcher is interested in the average first-semester change in weight (gain or loss) for students at a local college. thus, they record the individual change in weight for a small group of 25 freshmen from this college during their first semester. then, the researcher calculates the average change in weight during the first semester among these 25 students. The average is an example of a-
a. constant
b. variable
c. parameter
d. statistic
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pls pls pls help i need it rnnn
Answer:
it is the first one klick that one
Step-by-step explanation:
Expand the polynomial: \((\frac{1}{4} m - 2n)^2\)
Answer:
To expand a polynomial, multiply its factors (often by using the distributive property) or perform the indicated operations. Then combine all like terms. Example. Expand the following expression. 3x(4 - x) + (2x - 5)2.
how to do it, if you dont know use the steps.
Step-by-step explanation:
Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
The value of x in the statement negative 3 less than 4.9 times a number x is the same as 12.8 is 2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given a statement negative 3 less than 4.9 times a number, x, is the same as 12.8 this can be numerically expressed as,
4.9x - (- 3) = 12.8.
4.9x + 3 = 12.8
4.9x = 12.8 - 3.
4.9x = 9.8.
x = 9.8/4.9.
x = 2.
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In a function, the relationship between the dependent and independent variables is represented by a/an________________.
In a function, the relationship between the dependent and independent variables is represented by a "mathematical rule or equation". This rule defines how the value of the dependent variable changes based on the value of the independent variable.
The mathematical representation of this relationship is typically expressed as y = f(x), where "y" represents the dependent variable, "x" represents the independent variable, and "f" denotes the function.
The function provides a systematic way to determine the value of the dependent variable for any given value of the independent variable. It establishes a mapping between the two variables, where each input value of the independent variable corresponds to a unique output value of the dependent variable.
The function can take various forms, such as linear, quadratic, exponential, logarithmic, or trigonometric, depending on the nature of the relationship between the variables.
Functions play a fundamental role in mathematics, science, and various fields of study. They allow us to analyze and model real-world phenomena, make predictions, and understand the behavior of systems.
By examining the function's properties, such as its slope, intercepts, and shape, we can gain insights into how the dependent variable changes in response to changes in the independent variable.
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Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Mr. Kimball receives a $3000 annual salary
increase on the anniversary of his hiring if he receives
a satisfactory performance review. His starting salary
was $41,250. Write an equation to show k, Mr.
Kimball's salary after t years at this company if his
performance reviews are always satisfactory.
Answer:
OK so he gets 3000 a year
so 3000t is what we need. thats 3000 times the number of years.
His starting salary is 41250, so we would add that on.
K = 3000t + 41250.
Step-by-step explanation:
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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9. Find the value of x.
J
32
2x+3 K
cover
19
L
Answer:
JKLMN
Step-by-step explanation:
ID
K
:
cover
j 32
2x3k
cover 19
L
In the measurement of the length of a cylinder, the main scale reading of a vernier caliper is 2.8 cm, the vernier reading is 4, and the least count of the vernier is 0.01 cm. Find the reading of the length of the cylinder.
Answer:
the reading of the length of the cylinder is 2.84 cm
Step-by-step explanation:
Given the data in the question;
the main scale reading = 2.8 cm
the Vernier reading = 4
the least count of the Vernier = 0.01 cm
the reading of the length of the cylinder = ?
To determine the reading of the length of the cylinder, we simply say;
Reading length = main scale reading + ( Vernier reading × least count )
so we substitute in our given values
Reading length = 2.8 cm + ( 4 × 0.01 cm )
Reading length = 2.8 cm + 0.04 cm
Reading length = 2.84 cm
Therefore, the reading of the length of the cylinder is 2.84 cm
ejemplos de funciones exponenciales
Answer:
Un ejemplo de función exponencial es el crecimiento de bacterias. Algunas bacterias se duplican cada hora. Si comienza con 1 bacteria y se duplica cada hora, tendrá 2 veces más bacterias después de x horas. Esto se puede escribir como f (x) = 2x.
Step-by-step explanation:
Esto es de google ni siquiera voy a mentir
Simplify the expression 5x2+6x+4+x2+x
.
Thank You!
The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
The given expression is 5x²+6x+4+x²+x
Simplifying the given expression
5x²+6x+4+x²+x
Firstly, put the similar terms together
5x²+x²+6x+x+4
Adding the similar terms
6x²+7x+4
∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.
Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
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