Answers
To do so, we must find the slope (m), which represents the linear rate of change, so let’s choose two ordered pairs and plug them into the slope formula.
Ordered pairs (x, y)——>(miles traveled, total fee)
(2, 17) and (5, 21.50)
Slope formula:
m=(y₂ - y₁)/(x₂ - x₁)
Plug in the ordered pairs from above:
m=(21.5-17)/(5-2)
Simplify:
m=4.5/3
m=1.5
So, the rate is $1.5 per mile. To determine the y-intercept (if there is one), we used a point we already have and input x into the equation and determine how y is formed.
We currently have the equation: y=1.5x+b, where b=y-intercept and is unknown currently.
Let’s plug in the first ordered pair: (2, 17). We will then solve for b.
(17)=1.5(2)+b
Simplify:
17=3+b
Solve for b (y-intercept):
Subtract 3 from both sides:
17-3=b
14=b; b=14
So, we now have a y-intercept of 14. Let’s complete the equation now that we have all the information:
y=1.5x+14
Let’s input two ordered pairs into the equation again to assure we’re correct. For simplicity, we’ll use (2, 17) and (5, 21.50):
(17)=1.5(2)+14
Simplify:
17=3+14
17=17
Now, the second ordered pair:
(21.5)=1.5(5)+14
Simplify:
21.5=7.5+14
21.5=21.5
So, we are correct with the equation.
This means that answer is: the first option - “When the cab travels 0 miles, the fee is $14.00.”
Related Questions
Erika sells bicycles at a store. She is paid a monthly salary plus a bonus on each bike she sells. Her monthly pay is modeled in the table. Choose the linear equation below that best represents this data.
Answers
Answer: Show the table
Step-by-step explanation:
SHow the table
13. Using the information in the table, write and solve an equation to find the number
of toppings when you would pay the same amount for Pizza A and Pizza B.
Pizza A
Pizza B
Cheese pizza Price per topping
$1.50
$1.00
$10
$12.50
Answers
On solving the question, 5 topping would pay the same amount for Pizza A and Pizza B, the value of equation 0.50x=2.50=> x=5
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
let x be the number of toppings,the total cost of a pizza is given by:
pizza cost+topping cost
for pizza a =10+1.50x
for pizza b=12.50+1.00x
we solve for when cost are same and for how many toppings
10+1.50x=12.50+1.00x
10+0.50x=12.50
0.50x=2.50
x=5
would pay the same amount for Pizza A and Pizza B. are 5 toppings,
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please help me please i really need help please help me please
Answers
9514 1404 393
Answer:
26.2 in³
Step-by-step explanation:
The formula for the volume of a cone uses the radius of the cone as one of its variables. Here, the diameter is given, so we need to divide it by 2 to find the radius.
r = d/2 = (5 in)/2 = 2.5 in
The volume is ...
V = 1/3πr²h
V = (1/3)π(2.5 in)²(4 in) = 25π/3 in³ ≈ 26.2 in³
The volume of the cone is about 26.2 in³.
What is the volume of the following triangular prism?
Answers
Answer:
37.8
Step-by-step explanation:
Change 12 mm to 1.2 cm
Then apply the volume rule
Area * height
A = 1.2*7=8.4
H=4.5
Volume 8.4*4.5 =37.8
An economics professor is interested in seeing if the mean hours worked by ISU students in a week at part time or full time jobs (including work study) is greater than 10. To accomplish this, the professor randomly selected 50 students from the university. It was found that the distribution was right skewed and unimodal. The sample mean was 11 hours with a sample standard deviation of 3. The professor then did a hypothesis test. Please find the test statistic for this hypothesis test Group of answer choices
Answers
Answer:
2.3574
Step-by-step explanation:
This question requires us to find the t test statistic given the data in the question.
H0: u = 10
H1: u > 10
Population variance is not known
T = (barX - u)/(s/√n)
u = 10 hours
BarX = 11 hours
Sd = 3 hours
n = 50
(11-10)/(3/√50)
t test = 1/(3/√50)
= 1/0.4242
Test statistic = 2.3574
please help i’ll give brainliest
Answers
Answer: D
Step-by-step explanation:
Substitute values for x until they all work.
A. y = 2 x 2 + 5 = 9 fail
B. y = 2 x 2 - 6 = -2 fail
C. y = -2 x 2 - 5 = -9 fail
D. y = -0.5 x 2 - 5 = -6 ok
y = -0.5 x 5 - 5 = -7.5 ok
y = -0.5 x 6 - 5 = -8 ok
Can y’all help me on question 32??!
Answers
Answer:
(B)
Step-by-step explanation:
Fill in the blanks to write the solutions to the quadratic equation.Fill in the blanks to write the solutions to the quadratic equation.Fill in the blanks to write the solutions to the quadratic equation.Fill in the blanks to write the solutions to the quadratic equation.x^2+2x+10 = 0
Answers
The solution to the given quadratic equation is x = -1 + 3i OR x = -1 - 3i
Solving Quadratic equationsFrom the question, we are to solve the given quadratic equation
From the given information,
The quadratic equation is
x² + 2x + 10 = 0
Using the Quadratic formula,
x = [-b ± √(b² - 4ac)] / 2a
From the equation,
a = 1, b = 2, and c = 10
Then,
x = [-b ± √(b² - 4ac)] / 2a
x = [-(2) ± √((2)² - 4(1)(10))] / 2(1)
x = [-2 ± √(4 - 40)] / 2
x = [-2 ± √(-36)] / 2
x = [-2 ± -6i] / 2
x = -1 ± 3i
x = -1 + 3i OR x = -1 - 3i
Hence, the solution is x = -1 + 3i OR x = -1 - 3i
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determine the area of the rectangle below
Answers
Answer:
A=10.75
Step-by-step explanation:
Formula; A=wl
Plug in values; 2.5·4.3
Area ; 10.75
Answer:
Formula: bh
Plug in Values: 4.33 and 2.5
Area: 10.825 inches squared
Step-by-step explanation:
Before anything, when you converted 4 1/3 to 4.3, I recommend doing 4.33. ‘Ight, let’s begin.
The formula is base times height, therefore, you multiply the base (2.5) times the height (4.33).
2.5x4.33=10.825
Can anyone help me!! Thank you
:)
Answers
Answer:
23
Step-by-step explanation:
How much fencing is required to enclose a circular garden whose radius is 14m? Use 22/7 for π.
Answers
Answer:
The fencing required to enclose a circular garden whose radius is 22m is 138.16m
Answer:
[tex]\boxed {\boxed {\sf 88 \ meters}}[/tex]
Step-by-step explanation:
We want to find the amount of fencing required to enclose the garden. The fencing goes around the garden, which is a circle. Essentially, we are finding the perimeter or circumference of the circle.
The formula for circumference is:
[tex]c=\pi \times d[/tex]
We are given the radius, so we need to find the diameter. The radius goes from the center to the edge of the circle, while the diameter goes from edge to edge through the center. So, the diameter is twice the radius of 14 meters.
d=2 ×r d= 2 × 14 m d= 28 mNow we know the diameter is 28 meters. We also know 22/7 is being used for pi. Substitute these values into the formula.
[tex]c= \frac{22}{7} \times 28 \ m[/tex]
[tex]c=88 \ m[/tex]
The circumference is 88 meters, so 88 meters of fencing is requires to enclose the garden.
If you work for an airline need to sit a passenger every 30 seconds. If the doors open at 9:35 am, what time does the last passenger sit if there are 110?
Answers
Answer: 10:30 am
Step-by-step explanation: If you need to seat a passenger every 30 seconds, (half of a minute, which is 60 seconds), for every minute, 2 passengers will be seated. So, if you seat 2 passengers for a min each until you have seated 110 people, you will have taken up 55 minutes in total. (110 divided by 2 passengers a min). And finally, 55 minutes past 9:35 am would be 10:30 am. Hope this helps!
is 4.97 a terminating decimal
or a repeating decimal?
Answers
Answer:
it's a terminating decimal
4 glasses cost £24 in total how much do seven glasses cost
Answers
Using simple unitary method process in the given problem with the provided values, The answer is £42 .
What is unitary method?The unitary method is a method of solving mathematical problems in which the relationship between a quantity and its unit of measurement is used to find an unknown quantity. It involves expressing the given quantity in terms of a unit, then solving for the unknown quantity in terms of the same unit.
What are arithmetic operators?Arithmetic operators are used to perform basic mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/), and modulus (%). They take numerical values (either literals or variables) as their operands and return a single numerical value. These are widely used in mathematical computations, like in programming languages, spreadsheets and calculator apps.
4 glasses cost £24.
1 glass cost £24/4 = £6
7 glasses cost = £6 * 7 = £42
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Find the distance between the points given.
(-3, 2) and (9, -3)
Answers
Answer:
Distance = 13
Step-by-step explanation:
Using the distance formula, plug in the two points:
d = sqrt(9-(-3))^2+(-3-2)^2
d = sqrt(12)^2+(-5)^2
d = sqrt144+25
d = sqrt169
d = 13
6) Create your own word
problem using the
format in the example
on the page above.
Answers
Format in the example are Surds on the page above in own word is [tex]36z^{15} ,\ 100,\ 9^7,\ and \ 6r^3\\[/tex]
How do indices and Surds differ from one another?Surds are the root values for which there is no whole number representation. Indices represent the exponent or power of a value. For instance, the base is 3 and the index is 2 for the number 32. the index being 3/2.
What are the Surds rules?These are the surds rules:
Rule 1: = √(r*s) = √r*√s.Rule 2: √(r/s) = √r/√s.Rule 3: r/√s = (r/√s) X (√s/√s)Rule 4: p√r ± q√r.Rule 5: r / (p+q√n)Rule 6: r / (p-q√n)1) [tex](2z^3)^5=32^{15}[/tex]
2) [tex]\sqrt[3]{1000*1000}=100[/tex]
3) [tex]\frac{9^{3} }{9^{-4} } = 9^7[/tex]
4) [tex](6r^{-3}) ^{-1} = 6r^3[/tex]
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What the heck is this??
Answers
Explanation: if you fold the sides down then you can create a triangular pyramid
What is a possible value of sin(x) if the cos(2x) = 0.42
Answers
Answer:
The answer is 0.54 have a great day
How many possible triangles can be created if measure of angle A equals pi over 6 comma c = 18, and a = 9?
0 triangles
1 triangle
2 triangles
Cannot be determined based on the given information
Answers
If the measure of angle A equals pi over 6, the angle c equals 18, and the angle an equals 9, triangles may be formed.
When do three lines join to make a triangle?You only need to apply the Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side. A triangle will exist if this holds true for each of the three possible added side length combinations.
From the given information, we have that:
m<B = pi/6 = 30 degres
c = 10
b = 5
This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle
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Select all ratios that are in their simplest form,
A=21:7
B=25:19
C=23:7
D=16:4
E=24:26
Answers
Answer:
B and C
Just see if there is any number that can divide both top and bottom
If there isnt, its in simplest form
Please help with this
Answers
Answer:
I would say 109 if you were to plot this
Solve ^4√5x - 4 =1
A) x = 625
B) x = 81∕5
C) x = 25
D) x = 125
Answers
x=125
...............
Please help with this and thank u brother and sisters
Answers
Answer:
Equivalent
Step-by-step explanation:
Two fractions are equivalent if the value, proportion, or quantity they represent is the same. Equivalent fractions can have different numerators and denominators.
If you multiply the first one by 4/4 then you will have 8s/20s, which is the same as the second one
Answer:
I dont know if the letters are there to confuse me but if not yes there equivalent I cross multiplied 2 × 20 = 40 and 8 × 5 = 40 as well meaning there equivalent cause they equal the same when cross multiplying hope that helps!
PLS HELP FOR 10 POINTS PLEASE (SHOW YOUR WORK)
Question: Find the measure of the missing angle
IF YOUR A BOT AND IS JUST SAYING “PLEASE CHECK THE LINK BELOW FOR ANSWERS” I WILL REPORT
THANK YOU (-:
Answers
Answer:
The answer is 90 degrees
Step-by-step explanation:
It is a right angle and a right angle is equal to 90 degrees
The box in a triangle always represents a right angle
Answer:
The missing angle is 65 degrees
Step-by-step explanation:
Answer: 65 degrees
First, you can make the conclusion that a right angle is 90 degreesNext, you can add 90 to 25 to get 115You then subtract 115 from 180.You are left with 65, which is the measure of the missing angleRemember that a triangle equals 180 degrees! :)A bag contains green, orange, and purple tennis balls. Corey shakes the bag, randomly selects a tennis ball, records the color in the table shown, and places the ball back into the bag. Corey repeats this process 40 times. Answer parts a and b. PLEASE HELP!!!
Answers
If a store advertises a package of 22 stickers for
$4.57, what is the unit rate, or price per sticker?
Write an equation using a variable and solve.
Answers
What is the measure of the x?
DO NOT ANSWER IF YOU DO NOT THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answers
Answer:
A
Step-by-step explanation:
The sum of the two angles is 180 degrees
x + 138 = 180
x = 42 degrees
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answers
Answer: option b), option c), and option e) are correct options.
Step-by-step explanation:
Given:
The area of a rectangular room= 750 square feet
The width of the room = 5 feet less than the length of the room
The length of the room = Y
To find:
Equations that can be used to solve the value of Y i.e. the length of the rectangular room.
Solution:
The equation can be derived from using the following formula:
Area of rectangle = length * width
According to the question,
Length of the rectangular room = Y
Width of the rectangular room = 5 feet less than the length of the room
= (Y-5)
Since, Area of rectangle = length * width
Area of the rectangular field = length of the room* width of the room
750 = Y (Y – 5) ………..eqn. (1)
Or, the above equation can be solved a step further and written as
750 = Y2 – 5Y ………..eqn. (2)
750- Y2 + 5Y= 0 ………..eqn. (3)
750-Y (Y- 5) =0 ………..eqn. (4)
Apart from the above equations, if we solve eqn. (2) we get the following equation:
750 = Y2 – 5Y
Y2 – 5Y- 750= 0
Y2 – 30Y + 25Y- 750 = 0
Y (Y- 30) + 25 (Y- 30) = 0
take Y- 30 common from L.H.S.
(Y -30) (Y+ 25) = 0 …………….eqn. (5)
Hence, the correct options are option b), option c), and option e).
Simplify 3.5m(3m + 1.8) using the distributive property.
10.5m + 6.3m
10.5m + 1.8
10.5m2 + 6.3m
10.5m2 + 1.8
Answers
Answer:
3.5m(3m + 1.8)
10.5m^2+6.3m
Step-by-step explanation:
An airplane in flight needed to make an emergency landing so it descended at
an angle of depression of 15 degrees for 50000 feet until it landed. How many
feet is the vertical drop from when the plane initially began it's descent to
when it reached the ground? Round to the nearest whole number. (Hint:
draw a picture)
Answers
Answer:
13,397 ft
Step-by-step explanation:
tan 15 = height/50,000
0.2679(50,000) = 13,397 ft