The price οf the ticket when the number οf stοps is 13, fοund using the given expressiοn, is $6.55.
What is an expressiοn?Mathematical expressiοns cοnsist οf at least twο numbers οr variables, at least οne maths οperatiοn, and a statement. It's pοssible tο multiply, divide, add, οr subtract with this mathematical οperatiοn. A finite cοmbinatiοn οf symbοls that are well-fοrmed in accοrdance with cοntext-dependent principles is referred tο as an expressiοn οr mathematical expressiοn. There are twο sοrts οf expressiοns in mathematics: numerical expressiοns, which οnly cοntain numbers, and algebraic expressiοns, which alsο include variables. Expressiοns can be categοrised as arithmetic/numerical expressiοns, fractiοnal expressiοns, οr algebraic expressiοns depending οn the terms they cοntain.
Given the expressiοn as:
1.35 + 0.40(s)
This is used tο calculate the price οf a ticket οn the lοcal cοmmuter train.
s = number οf stοps
Nοw the cοmplete questiοn is tο calculate the price οf the ticket fοr 13 stοps.
Sο s = 13
Substitute in the expressiοn,
1.35 + 0.40(s) = 1.35 + 0.40 * 13 = 1.35 + 5.2 = $6.55
Therefοre the price οf the ticket when the number οf stοps is 13, fοund using the given expressiοn, is $6.55.
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Solve for x
^ use picture
Check the picture below.
[tex](x+18)(18)=(24+16)(16)\implies 18x+324=640 \\\\\\ 18x=316\implies x=\cfrac{316}{18}\implies x=\cfrac{158}{9}\implies x=17\frac{5}{9}[/tex]
what is the mean,median,mode,range of 14,9,20,5,17,13
How many gallons is two liters
Answer:
Step-by-step explanation:
1 gallon= 4 liters
2gallons=8liters
8liters answered
But exactly: 7.57082 liters
How do you find the surface area, in square meters, of a triangular prism
Answer:
Step-by-step explanation:
Surface area of a triangular prism: The surface area of a triangular prism is given by A=bh+(b1+b2+b3)l units2 A = b h + ( b 1 + b 2 + b 3 ) l units 2 where b is the base of a triangular face, h is the height of a triangular face, b1 , b2 , and b3 are the sides of the triangular base, and l is the length of the prism.
Amari gathered a random sample of favorite beverages of the students in her class. She calculated data on different variables. For one of the variables that she collected, she constructed a bar graph.
Which of the following variables did she use?
Price of beverage
Type of beverage
The volume of the beverage
Number of ounces in the beverage
A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.
Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 44 27 12 17
Which of the following graphs correctly displays the data?
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled hot fudge going to a value of 17, the second bar labeled chocolate chips going to a value of 12, the third bar labeled sprinkles going to a value of 27, and the fourth bar labeled nuts going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled hot fudge going to a value of 17, the second bar labeled chocolate chips going to a value of 12, the third bar labeled sprinkles going to a value of 27, and the fourth bar labeled nuts going to a value of 44
In the 2021 football season, the Riverside Red Dragon's manager gathered the points scored by the team during the regular season games. The following data set shows the values collected by the manager.
{13, 0, 20, 27, 27, 31, 13, 30, 30, 26, 20, 27, 30, 11, 30, 4}
Which of the following stem-and-leaf plots correctly graphs the data set?
2021 Riverside Red Dragon Football Season Points
1 1 3 3
2 0 0 6 7 7 7
3 0 0 0 0 0 1
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
0 0 4
1 1 3
2 0 6 7
3 0 1
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
0 0 4
1 1 3 3
2 0 0 6 7 7 7
3 0 0 0 0 1
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
1 1 3
2 0 6 7
3 0 1
Key 1|1 = 11
A principal was interested in the number of hours slept per night by 14-year-olds in a particular town. She gathered data from a random sample of ten 14-year-olds from a local youth group in the town and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for her data?
Stem-and-leaf plot
Histogram
Circle graph
Bar graph
Answer:
The first question asks which variable Amari used to construct a bar graph. It is not specified which variable she used, so we cannot determine the answer.
The second question asks which graph correctly displays the data collected from the customers about their favorite topping. The data is nominal, so a bar graph would be appropriate. The correct answer is:
c) a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44
The third question asks which stem-and-leaf plot correctly graphs the data set of points scored by the Riverside Red Dragons during the 2021 football season. The correct answer is:
c)
2021 Riverside Red Dragon Football Season Points
0 0 4
1 1 3 3
2 0 0 6 7 7 7
3 0 0 0 0 1
Key 1|1 = 11
The fourth question asks which graphical representation would be best for a principal interested in the number of hours slept per night by 14-year-olds in a particular town. The data is quantitative, so a histogram would be appropriate. The correct answer is:
b) Histogram
Determine if it is Exponential growth or decay. Use the information below to plug in the numbers to the formula. f(x)=a(1+or-r)^x
The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,200
decay rate: 12.5%
f(x) = 450
The exponential function is a decay, and it can be written as:
f(x) = 1,200*( 0.875)^x
Is it an exponential growth or decay?The general exponential function can be written as:
f(x) = A*(b)^x
Where A is the initial value and b is the base.
Here we have a decay rate, so this is an exponential decay, and we can write:
b = 1 - r
Where r is the decay rate in decimal form:
b = 1 - 0.125 = 0.875
And the initial value is 1,200, so the exponential function is:
f(x) = 1,200*( 0.875)^x
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Gabriel's father has a garden in the back yard. The dimensions of the garden are shown here.
A green rectangle is shown. The width is labeled as 2 and two-thirds feet. The length is labeled as 7 and three-fourths feet.
Part A
Calculate the area of the garden. Show at least one step before you show your solution.
Part B
You found the area of the garden in Part A. Explain briefly, without doing any calculations, how you would find
5/6 of this area.
The Area of Garden is 62/3 feet².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area. Square units like cm² and m² are used to measure area. A shape's area is a two-dimensional measurement.
Given:
Length = 7 3/4 feet = 31/4 feet
Width = 2 2/3 feet = 8/3 feet
So, Area of Garden
= l w
= 31/4 x 8/3
= 62/3 feet²
and, Now, 5/6th of the Garden
= 62/3 x 5/6
= 31 / 3 x 5 / 2
= 155 / 6 feet²
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Solve the equation 13coshx + 12 sinhx = 23/4
Answer:
5 3/4
Hope this is what you're looking for
decrease 1.894 by 0.954
Answer: 0.94
Step-by-step explanation: This is the same as saying subtract 0.954 from 1.894.
1.894 - 0.954 = 0.94
Find the coordinates of the center and the measure of the radius for a circle whose equation is x^2+(y-5)^2=64
From the equation x²+ (y-5)² = 64, the coordinates of the center of the circle are (0, 5), and the radius of the circle is 8 units.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The given equation of the circle is in the standard form -
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and r is the radius.
Comparing this standard form with the given equation, we get -
(x - 0)² + (y - 5)² = 8²
So the center of the circle is (0, 5) and the radius is 8.
Therefore, the center of the circle is (0, 5), and the radius is 8 units.
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PLEASE IT IS TIMED!!!!!!!!! If f(x)=x^3 and g(x)=(x+4)^3 which description represents the graph of function g? A. a vertical transformation of function f 4 units down B. a horizontal transformation of function f 4 units left C. a horizontal transformation of function f 4 units right D. a vertical transformation of function f 4 units up
Answer:
5175 7 ehsjdjdrusjskskekrirr
Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why?
Pre-Employment Drug Screening Results
Positive test result
Negative test result
Drug Use Is Indicated
Drug Use Is Not Indicated
Subject Uses Drugs
46
8
Subject Is Not a Drug User
1
30
Question content area bottom
Part 1
The probability of a false positive test result is enter your response here.
(Round to three decimal places as needed.)
The probability of a false positive test result is approximately 0.1702 or 17.02%.
The person who will suffer from a false positive are the subjects who aren't drug users.
How to calculate the probabilityFrom the given data, we can see that there are a total of 46 + 1 = 47 positive test results, out of which 8 are false positives (i.e., the subject is not a drug user).
The probability of a false positive test result is:
Probability of false positive = Number of false positives / Total number of positive test results.
Probability of false positive = 8 / 47
Probability of false positive = 0.1702
Therefore, the probability of a false positive test result is approximately 0.1702 or 17.02%.
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Isabel is in a hot air balloon that has just taken off and is now floating 140 meters above
its launching point. Debbie is standing on the ground, 147 meters away from the
launching point. How many meters apart are Isabel and Debbie?
?
147 m
140 m
Answer: 390
Step-by-step explanation:
m
Isabel is in a hot air balloon that has just taken off and is now floating 140 meters above
its launching point. Debbie is standing on the ground, 147 meters away from the
launching point. How many meters apart are Isabel and Debb
Answer:
Isabel and Debbie are 203m apart.
Step-by-step explanation:
Since Isabel went straight up in the balloon and Debbie is straight over presumably on flat ground, they make a right triangle with the third point being the launching spot.
It is a right triangle. See image. Use the Pythagorean Theorem.
140^2 + 147^2 = d^2
Where d is the distance between Isabel and Debbie.
see image for work shown.
7234 rounded off to the nearest 5
The number 7234 can be rounded to the nearest multiple of and it is 7235.
How to round a number?Check the value of the remainder:
If the remainder is less than 2.5, round down to the nearest multiple of 5
If the remainder is 2.5 or greater, round up to the nearest multiple of 5
Rounding off 7234 to the nearest 5 means we need to find the multiple of 5 that is closest to 7234.
Divide 7234 by 5 and get the quotient and remainder
= 7234 ÷ 5
= 1446 with a remainder of 4
Multiply the quotient by 5 and add the value determined.
Using this method, we can see that the nearest multiple of 5 to 7234 is 7235, since the remainder is 4 which is less than 2.5. Therefore, rounding off 7234 to the nearest 5 results in 7235.
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The complete question:
What will be the value when 7234 rounded off to the nearest 5(which will be divisible by 5)?
36/48 simplify plsssss
pls show work i’m struggling
Answer:
A. 62 units
Step-by-step explanation:
To find the perimeter of the rectangle, you have to use the Pythagorean theorem.
a^2 + b^2 = c^2 - Formula
24^2 + b^2 = 25^2 - Plug in values
576 + b^2 = 625 - Simplify
b^2 = 49 - Isolate the variable
b = 7 - Solve
After finding the height, find the perimeter.
P = 2b + 2h
P = 2(24) + 2(7)
P = 48 + 14
P = 62 units
Which is the same as dividing a number by 1,000? CLEAR CHECK Move the decimal 3 places to the right. Move the decimal 3 places to the left. Move the decimal 1 place to the right. Move the decimal 1 place to the left.
Answer:
Moving the decimal 3 places to the left.
Step-by-step explanation:
Take the number 3000 and divide it by 1000 in your calculator. You will get the answer 3. Although we do not write it, the decimal in the number 3000 is at the end of the number (after the last zero). When we divide by 1000, we move the decimal 3 places to the let. The decimal in the number 3 is at the end or to the right of the 3, we just do not write the decimal.
Helping in the name of Jesus.
i need help with this ecuation
Answer: y = 4/3x+1
Step-by-step explanation:
Answer:
y=4/3 + 1
Step-by-step explanation:
There are different ways to do this for finding slope, you can use the formula or you can do rise over run. How to find rise over run you count how many places up so our current place is (-3,-3) and we are trying to find (3,5) so if you were to start with rise, you rise 8 places then run you go either left or right in our case right, you move 6 places. So our fraction would be 8/6 or simplified 4/3. But using the formula to make sure we got the right answer, our formula is y2-y1/x2-x1 so that would look like 5- -3/3- -3. To solve on our top side two negatives give us a positive so the top is 8 and then bottom is 6 so we get 8/6 or 4/3. But our slope intercept would be y= 4/3x +1.
What is the value of b?
10
16
20
26
The value of b from the given hyperbolic equation is 10. Therefore, option A is the correct answer.
What is a hyperbola?In mathematics, a hyperbola is an important conic section formed by the intersection of the double cone by a plane surface, but not necessarily at the center. A hyperbola is symmetric along the conjugate axis, and shares many similarities with the ellipse. Concepts like foci, directrix, latus rectum, eccentricity, apply to a hyperbola.
Given that, the equation x²/24² -y²/b² =1 represents a hyperbola centered at the origin with a directrix of x=576/26.
Here, a=24
Then c²=a²+b²
c²= 24²+b²
c=√(576+b²)
We know that, directrix = x =± a²/c
Now, 576/26 = 576/√(576+b²)
√(576+b²)=26
576+b²=26²
576+b²=676
b²=100
b=10
Therefore, option A is the correct answer.
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Answer:
in photo I provided :)
Step-by-step explanation:
hope this helps <3
PLEASE HELP PLEASE ASAP PLEASE HELP
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
Answer:
Step-by-step explanation:
Well when rotating 90° RSTU counterclockwise we get MNPQ.
When rotating 90° RSTU clockwise we get it the reflection across the y-axis.
Let x = the length of one side of the building. Let y = the length of one side of the entrance.
Write an expression to find
1. Volume of the whole box:
2. Volume of the cube that makes the entrance:
3. Volume of the building:
The box volume, entrance volume and building volume are 50x², y³ and 50x² - y³ respectively
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operations like exponents, addition, subtraction, multiplication and division.
a) The volume of the whole box is:
Volume = length * width * height = x * x * 50 = 50x²
b) The volume of the entrance is:
Volume = length * width * height = y * y * y = y³
c) Volume of building is:
Building volume = volume of the whole box - volume of the entrance
Building volume = 50x² - y³
The building volume is 50x² - y³
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in quadrilateral JKLM, angle K is a right angle, Is JKLM a rectangle
Answer:
Step-by-step explanation:
catss
ssssssssssssssssssssssssssssssssssssssssssssssssss
You invest $3000 in the Clearwater mutual fund. Over 4 years, your investment grows in value
to $8400. What are your total and annual returns for the 4-year period?
The percentage of annual returns is 25.63% and total return is $5400.
What exactly is percentage?A percentage is a way of expressing a portion or part of a whole as a fraction of 100. The word "percent" comes from the Latin per centum, which means "per hundred". Percentages are commonly used to represent rates of change, such as growth rates or inflation rates, and to express proportions, such as the percentage of people in a population who have a certain characteristic or the percentage of a product's ingredients that are natural.
To calculate a percentage, you can use the following formula:
percentage = (part / whole) x 100
Now,
To calculate the total return on your investment, we need to find the profit made over the 4-year period.
Total return = final value of investment - initial investment
Total return = $8400 - $3000 = $5400
To calculate the annual return, we can use the formula:
Annual return = ((1 + total return percentage)^(1/number of years)) - 1
We can find the total return percentage by dividing the total return by the initial investment and multiplying by 100:
Total return percentage = (total return / initial investment) x 100
Total return percentage = ($5400 / $3000) x 100 = 180%
Using the formula for annual return, we get:
Annual return = ((1 + 1.8)¹/⁴-¹
Annual return = 0.2563 or 25.63%
Therefore, your total return on the investment was $5400 and the annual return averaged 25.63% over the 4-year period.
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Use the simple interest formula to find out how much interest Graham earns after 5 years. if he
leaves his $1,320 in the account with (3.2% interest.
Answer:
Step-by-step explanation:
[tex]I=Prt[/tex] P=principal, r =interest rate, t=time
[tex]I=1,320[/tex] × [tex]\frac{3.2}{100}[/tex] × [tex]5[/tex]
[tex]= 211.20[/tex]
He will earn $211.20 interest.
a.x + 5 <8y x + 5>8
Solving the inequalities for x and y, we have x > 3 and y > 1
What is inequalities?Inequalities are mathematical expressiοns that cοmpare twο quantities οr values and indicate their relative sizes. Inequalities are represented using symbοls such as < (less than), > (greater than), ≤ (less than οr equal tο), and ≥ (greater than οr equal tο).
Here Given that the twο inequalities are:
x + 5 < 8y
And
x + 5 > 8
x > 8 - 5
x > 3
Substate the value of x in x + 5 < 8y:
x + 5 < 8y
x < 8y - 5
3 < x < 8y - 5
3 < 8y - 5
3 + 5 < 8y
8 < 8y
y > 8/8
y > 1
Thus, Solving the inequalities for x and y, we have x > 3 and y > 1
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Complete question:
Solve the for x and y.
a. x + 5 < 8y
x + 5 > 8
In a classroom 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts.
Answer:
Step-by-step explanation:
Blue shirts: [tex]\frac{1}{6}[/tex]×[tex]12=2[/tex]
White shirts: [tex]\frac{2}{3}[/tex]×[tex]12=8[/tex]
∴ there are 2 students(12-2-8=2) wearing a different shirt.
Suppose 20% of the population are 64 or over, 28% of those 64 or over have loans, and 53% of those under 64 have loans. Find the probabilities that a person fits into the following categories.
(a) 64 or over and has a loan
(b) Has a loan
(c) Are the events that a person is 64 or over and that the person has a loan independent? Explain.
The probability that a person is 64 or over and has a loan is 0.20 × 0.28 = 0.056.
What is Probability?Probability is the study of the likelihood of certain outcomes or events occurring. It is the measure of how likely it is for something to happen. Probability can be expressed as a percentage, a fraction, or a number between zero and one. Probability is used to help make decisions in a variety of situations, from games of chance to business decisions and scientific research.
(b) The probability that a person has a loan is 0.20 × 0.28 + 0.80 × 0.53 = 0.464.
(c) The events that a person is 64 or over and that the person has a loan are not independent. This is because the probability of having a loan depends on whether the person is 64 or over. Therefore, the two events are not independent.
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-2 ( x + 2 ) is greater than 14
-2x - 4 is not greater than 14
Step-by-step explanation:
I don't understand the question but I hope this helps
(-2 × X) + (-2 × 2)
Fiona’s family is replacing a carpet
See photo for question and graph
The radius of the circle E is 27/5.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.
Since the radius of B is 3, AX = 4.
Assume AE = p.
Then EX and EY are radii of circle E and have length 4 + p.
AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.
Using the Law of Cosines on Δ CAE, we obtain
(6+p)² =p² + 64 - 2(8)(p) cos 60
The 2 and the cos 60 terms cancel out:
p² + 12p + 36 = p² + 64 - 8p
12p+ 36 = 64 - 8p
p = 28/20
= 7/5
The radius of circle E is 4 + (7/5)
= 27/5
Hence, the radius of the circle E is 27/5.
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