Answers
Let x be the number of miles and y the total cost; therefore, the equations that model the two plans are
[tex]\begin{gathered} PlanA: \\ y_A=30+0.20x \\ PlanB \\ y_B=50 \end{gathered}[/tex]Then, set y_A=y_B as shown below
[tex]\begin{gathered} y_A=y_B \\ \Rightarrow30+0.20x=50 \\ \Rightarrow0.20x=20 \\ \Rightarrow x=\frac{20}{0.20}=100 \end{gathered}[/tex]Therefore, once the mileage is greater than 100 miles, the total cost of plan B will be less than that of plan A.
The answer is 100 miles.Related Questions
Hello I need help please
Answers
To graph the function using a table of values. The function is:
[tex]f(x)=\sqrt[]{x}[/tex]Since the root is even, because it is a square root, there is no Real values for
[tex]x<0[/tex]This already indicates that the probable correct alternative is C, however let's make the table to make sure.
The best way is to get x values that will easily get was f(x) values. Let's pick x = 0, x = 1 and x = 4:
[tex]\begin{gathered} f(0)=\sqrt[]{0}=0 \\ f(1)=\sqrt[]{1}=1 \\ f(4)=\sqrt[]{4}=2 \end{gathered}[/tex]So, the points (0,0), (1,1) and (4,2) should be in the line. This exclude alternatives A, B and D. In C we can see these points:
So, the graph of the given function is the one showed in option C
What are some similarities between sales tax and hotel tax? Select all that apply. Multiple select question. cross out A) Both are an additional amount one must pay. cross out B) Both must be paid in advance when you make a hotel reservation. cross out C) Both are based on a percentage of the original cost. cross out D) Both the sales tax and the hotel tax are equal when you stay in a hotel. cross out E) Both represent a guest fee that hotels charge their customers.
Answers
Some of the similarities between sales tax and hotel tax include the following:
B) Both must be paid in advance when you make a hotel reservation.
C) Both are based on a percentage of the original cost.
What is taxation?Taxation can be defined as the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.
The types of tax.In Economics, there are different types of tax that are levied on individuals or business firms by the government and these include the following:
Hotel taxSales taxProperty taxIncome taxIn conclusion, we can reasonably infer and logically deduce that both sales tax and hotel tax must be paid in advance when making a hotel reservation in the United States of America.
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Please answer ASAP for 100 points and brainliest if possible and if its correct
PLEASE!!!!!!!!!!!!!!!!
Answers
Answer:
59.40
Step-by-step explanation:
At a speed of 7.2 km per 2 hours how far can you drive for 7 hours
A. 357
B.358.50
C.359
Answers
Answer:
Step-by-step explanation:
divide 7.2 by 2 so you have an hourly rate. Then you have 3.6, multiply that by 7 to get 25.2. Assuming its not in km cause that wouldn't make sense you would just have to convert it into whichever unit it would take
Find (f◦g)(x) and (g◦f)(x) for the pair of functions and give the domains. f(x)= 16 x2,
Answers
Need more information to solve, but the standard rule is:
(f◦g)(x) = f(g(x))
(g◦f)(x) = g(f(x))
Peter enrolled $80,000 worth of debt with National Debt Relief. Peter’s fee for the service is 20% of the enrolled debt. How much is Peter’s fee?*
Answers
Answer:
16000
Step-by-step explanation:
the squares for each quadratic, list the center and rais, labeling its translated center: (a) x2 + 2x + y2 - 4y = 4 (c) 2x2 + 2y2 + 3x - 5y = 2 (e) x2 + y2 + 3x = 4 (g) x2 + y2 + 4x = 0 (i) x2 + y2 + 2mx - 2ny = 0 (b) 32-95.0 (d) * - 25.- (1) Akh + 47 - 165 (h) 2 + y - 7y=0 (j) 32 + y2 - 203. 2. Determine which of the following equations represents a circle with (a) x2 + y2 + 10x = -30 (b) 3x2 + 3y2 (c) 4x2 + 4y2 + 18x - 8y = -85 (d) 36x2 + 36
Answers
Determine which of the following equations represents a circle with a real non-zero radius:
a) First equation:
[tex]x^2+y^2+10x=-30[/tex]We need to complete squares, i.e., make the equation look like a sum of squared binomials. Separating x's and y's:
isabella bought tickets for 84 people. each ticket cost $16.22. how much did isabella spend on tickets
Answers
The total money Isabella spent on tickets will be $1362.48
In the given question, it is stated that Isabella bought a total of 84 Tickets. Each of the tickets she bought cost $16.22. We have to find out the total amount that she spent on buying tickets for everyone. From this given situation we know:
The cost of one ticket: $16.22
Total number of tickets: 84
From this formula, we can calculate the total amount spent
Total Amount = Total ticket * cost of one ticket
Putting values in this formula, we get:
=> Amount = cost*number
=> Amount = 16.22*84
=> Amount = 1362.48
Hence, the Total amount that she spent on Tickets will be $1362.48
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What in cardinality?
Answers
Have a good day!
{(-3,-4), (-1,2), (0, 0), (-3,5), (2,4)}
Determine whether the relation represents a function.
O Yes, It is a function.
No, it is NOT a function.
Answers
Answer:
No, it's not function
Step-by-step explanation:
Every function is a relation but every relation is not a function because:
Function: a special type of relation in which the first-order pairs are different.
In this case {(-3,-4), ......., (-3,5)} these two sets have the same first-order pair.
So, your answer will be 'It's not function.'.
GIVING BRAINLIEST + 60 POINTS!
Solve for x: 1 < x + 3 < 4
A. 4 > x > 7
B. 4 < x < 7
C. −2 > x > 1
D. −2 < x < 1
Please explain why you have gotten the right answer!
Answers
Answer:
it's greater than one so it's value is not negative
and 3+4 is 7
so x is greater then 4 but less than 7
so it's b the correct option
Answer:
D. -2 < x < 1
Step-by-step explanation:
1 < x + 3 < 4
=
{1 < x + 3
{x + 3 < 4
=
{ 1 + ( -3 ) < ( x + 3 ) + ( -3 )
{ ( x + 3 ) + ( -3 ) < 4 + ( -3 )
=
{ 1 - 3 < x + 3 - 3
{ x + 3 - 3 < 4 - 3
=
{ -2 < x
{ x < 1
=
{ x > - 2
{ x < 1
Hence, the answer would be : -2 < x < 1
Hopes this helps!
Have a good day :)
need asap TIA bonus brownie points if you edit the graph <3
Answers
From the following figures, we have that:
a) The sequence of transformations that maps triangle ABC to triangle A''B''C'' is given by:
Reflection over the x-axis.Translation of 11 units right and 1 unit up.b) The rules are given as follows:
Reflection: (x,y) -> (x, -y).Translation: (x,y) -> (x + 11, y + 1).What are transformations on the graph of a function?The transformations used in this problem are as follows:
Translation: Can be in the direction left/right or down/up, changing just the position of the figure.Reflections: Can be a reflection over one of the axes or over a line, changing the orientation of the figure.For this problem, the orientation of the triangle changed, with the C at the bottom of the triangle being transformed into C'' at the top of the transformed triangle, hence the figure was reflected over the x-axis, and the rule is:
(x,y) -> (x, -y).
After the reflection, the coordinates of C' are given as follows:
C' (-4, -1).
The final coordinates of C'' are given as follows:
C'' (7, 0).
Meaning that it was translated 11 units right and 1 unit up, and the rule is given by:
(x,y) -> (x + 11, y + 1).
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Missed the class now lost
Answers
substitute the given values in the formula of (BAC) we have
[tex]48\cdot3.2\colon160-3\cdot0.015[/tex]Remember
Applying PEMDAS
P ----> Parentheses first
E -----> Exponents (Powers and Square Roots, etc.)
MD ----> Multiplication and Division (left-to-right)
AS ----> Addition and Subtraction (left-to-right)
so
step 1
solve the multiplication
48*3.2=153.6
substitute
[tex]153.6\colon160-3\cdot0.015[/tex]step 2
Solve the division
153.6/160=0.96
substitute
[tex]0.96-3\cdot0.015[/tex]step 3
solve the multiplication
3*0.015=0.045
substitute
[tex]0.96-0.045[/tex]step 4
solve the subtraction
0.96-0.045=0.915
Determine g(x−1) for the following function. g(x)=−4x−1
Answers
The function operation g( x - 1 ) of the function g( x ) = −4x − 1 is -4x + 3.
What is the function operation g( x - 1 ) in the given function?A function is simply a relationship that maps one input to one output.
Given the data in the question;
g( x ) = −4x − 1g( x - 1 ) = ?To find g( x - 1 ), replace all the occurrence of x with ( x - 1 ) in the function and simplify.
g( x ) = −4x − 1
g( x - 1 ) = −4( x - 1 ) − 1
Simplify by distributive property
g( x - 1 ) = −4( x - 1 ) − 1
g( x - 1 ) = x( -4 ) - 1( -4 ) - 1
g( x - 1 ) = -4x + 4 - 1
g( x - 1 ) = -4x + 4 - 1
Add 4 and -1
g( x - 1 ) = -4x + 3
Therefore, the function operation g( x - 1 ) is -4x + 3.
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The linear parent function, f(x) = x, transformed to g(x) = x+ 7. Whichstatement correctly compares the graphs of the functions?A. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted down.B. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted up.C. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted up.D. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted down.
Answers
The parent function given is
[tex]\begin{gathered} f(x)=x \\ \text{its has a slope of 1} \end{gathered}[/tex]The transformed function given is
[tex]\begin{gathered} g(x)=\frac{1}{2}x+7 \\ \text{which has a slope of 1/2} \end{gathered}[/tex]There is a reduction in the slope of the functions which makes the transformed function become less steep
The slope reduced from
[tex]1\text{ to 1/2}[/tex]There is also a change in the intercept from
[tex]0\text{ to +7}[/tex]And this indicates that the transformed function has been shifted up by 7 units
With the explanation above, we can therefore conclude that the statement which compares the two graphs of the function is
The graph of g(x) is less steep than the graph of f(x) and the intercept has been shifted up
Hence, The correct answer is OPTION C
A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 114 cups of mix to make one pancake. The pancakes are all equal in size.
About how many pancakes can the restaurant make in two hours?
A:99 pancakes
B:198 pancakes
C:251 pancakes
D:310 pancakes
Answers
Answer: B
Step-by-step explanation: I just did this on my test like 30 seconds ago
Answer:b
Step-by-step explanation:
I looked it up SPEED GANG FOR LIFE
Please help me solve this giving 20 points
Answers
Answer:
5005
Step-by-step explanation:
This seems to me like a permutations and combinations question.
Since the order doesn't matter, it's a combination.
15 c 6 = 5005
I hope this helps!
The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.
b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
Answers
a. Solving for 'd' as the subject of formula gives d = P/64
b. The depth of a submerged object if the pressure is 672 pounds per square foot is 10. 5 feet
What is a function?A function can be defined as an expression, law or rule that shows the relationship between two variables.
These variables are namely;
Independent variableDependent variableGiven the function as;
P = 64d
Where;
P is the pressure in pounds per square foot d is the depth of the object in feetNow, let's make the variable 'd' the subject of formula
Divide both sides of the equation with the coefficient of the variable 'd' which is 64. This is done so that the variable stands alone.
We have;
P/64 = 64d/64
d = P/ 64
If the pressure, P equals 672 pounds per square foot
Substitute the value of the variable into the formula, we have;
d = P/64
Then,
d = 672/64
Find the quotient
d = 10. 5 feet.
Thus, the value is 10. 5 feet
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in a sale normal prices are reduced by 10% Nathaniel bought a pair of shoes in the sale for £54
what was the original price of the shoes?
Answers
Answer:
$59.40
Step-by-step explanation:
54*0.10 (10%) = 5.4
5.4+54= 59.4
therefore, the price of the shoes without the discount is $59.40
Answer:
[tex]x=540[/tex]
What are Percentages?Percents are a ratio of a number and 100. So they are easier to compare than fractions, as they always have the same denominator, 100.
[tex]{\text}To find this.[/tex]
[tex]{\text}Right the formula:[/tex]
10% of x = £54
[tex]{\text}Indicating 10 percent of something is the sale given for the pair of shoes 54.[/tex]
[tex]{\text}Then calculate:[/tex]
[tex]\frac{10x}{100} =54[/tex]
[tex]{\text}Using crisscross multiplication:[/tex]
[tex]x=540[/tex]
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What is the Area of 8 and 3 1/2
Answers
The area of the rectangle with 8 and 3 1/2 units is 28 sq. units.
How to estimate the area of the rectangle?The region occupied by a rectangle within its four sides or boundaries is known as its area. The area of a rectangle is determined by its sides. Essentially, the formula for area is equal to the product of the rectangle's length and breadth.
It is given that the length of the rectangle is 8 units and the breadth 3 1/2 units.
the area of the rectangle = length x breadth = 8 x 3 1/2 = 8 x 7/2 = 28 sq. units
So, the area of the rectangle is 28 sq. units.
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? 60 Thanks for helping me Will give good feedback
Answers
Answer: F. $1.25
Explanation:
First, we need to find the probability of the coin landing faceup and facedown. We know that landing faceup is 3 times the probability of landing facedown. Since the highest probability is 1 (100%):
[tex]\begin{gathered} 3x+x=1 \\ 4x=1 \\ x=\frac{1}{4}=0.25 \end{gathered}[/tex]With this, we know that:
probability of the coin landing faceup = 3×0.25 = 0.75
probability of the coin landing facedown = 0.25
To find the expected value of each toss, we need to solve for the total of each value multiplied by its probability:
[tex]\begin{gathered} EV=\$1(0.75)+\$2(0.25) \\ EV=\$1.25 \end{gathered}[/tex]Therefore, the expected value of each toss of Coin C is $1.25
GH has a midpoint at M(-4.5, 5.5). Point G is at
(-10, 14). Find the coordinates of point H.
Answers
Answer:
(-1, 3)
Step-by-step explanation:
We could imagine the point G and H are points on a straight line.
We know that:
Point G is at (-10, 14)
Midpoint at M (-4.5, 5.5)
To calculate the x coordinate of the mid-point, we suppose to subtract x coordinate of H from coordinate x of G, divide by 2 to get the x coordinate of the midpoint m, which is -4.5
To calculate the y coordinate of the mid-point, we suppose to subtract y coordinate of H from y coordinate of G, divide by 2 to get the x coordinate of the midpoint m, which is 5.5
Therefore, x coordinate of H:
(- 10 - x) / 2 = -4.5
-10 - x = -9
- x = 1
x = - 1
And y coordinate of H:
(14 - y) / 2 = 5.5
14 - y = 11
- y = -3
y = 3
Factor-2x² + 10x.
O-2x(x + 5)
O 2x(-x + 5)
O2(-x² + 10x)
Ox(2x + 10)
Answers
Answer:
I believe it is B.
Step-by-step explanation:
When you solve B, you get the expression that you are supposed to factor.
7 Describe the error in solving the equation
(1) 3 (X + 4) = 13
(2) 3x + 4 =13
(3) 3 x = 9
(14)X = 3
Answers
Answer:
(2) The 3 was not distributed correctly.
3(x + 4) is the same as 3(x) + 3(4) Which is 3x + 12 not 3x + 4
Step-by-step explanation:
Answer: The error was at the first step since 4 was never multiplied by 3, therefore the final answer would be incorrect.
Step-by-step explanation: 3(x + 4) = 13
multiply 3 by everything in the parenthesis, so
3x + 12 = 13
subtract 12 from each side.
3x = 1
divide both sides by 3
x = 1/3 = 0.33
what is the y-intercept of the graph of y= 4.4 (0.34) x?
Answers
The y-intercept of the given graph would be (0, 0).
________________________________________
Hope this helps!
5. What is the slope that runs through the points (-4, 10) and (-4, 3)?
Answers
To find the slope, we will use the formula;
slope = y₂ - y₁ / x₂- x₁
From the points give,
x₁ = -4 y₁= 10
x₂ = -4 y₂=3
slope = 3 - 10 / -4+ 4
slope = -7/0
slope = ∞
The slope is undefined.
You need 600 mL of a 20% alcohol solution. On hand, you have a 60% alcohol mixture. How much of the 60% alcohol mixture and pure water will you need to obtain the desired solution?
Answers
Answer: there 3,000 total milliliters accourding to my calculation
there for your looking for 60% so your answer should be 1800 since 60% of 3,000 is 1800
1800 ML = 60%
Step-by-step explanation:
the math is above
Compare. Select >, <, or = to make the sentence true.
8 meters 6,000 millimeters
Answers
Answer: 8,0000 meters
Step-by-step explanation: if im wrong let me know and i will fix it
Answer: your answer is the alligator facing the left/8 meters is more
Step-by-step explanation:
the reason for this is because 1 meter is 1,000 millimeters so if you have 8 meters, then you obviously 8,000 millimeters
hope this helps :)
please give brainliest if possible
ANSWER FAST PLS
Write and solve an equation that represents the following math sentence. Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5. 24 = 10.5 + 4.5m; m = 60.75 24 = 10.5 + 4.5m; m = 3 24 equals 10.5 plus m over 4.5; m = 3 24 equals 10.5 plus m over 4.5; m = 60.75
Answers
24 = 10.5 + 4.5m; m = 3
24 equals 10.5 plus m over 4.5; m = 3
24 equals 10.5 plus m over 4.5; m = 60.75
Answer: I believe the answer is C
Step-by-step explanation: forgive me if im wrong im not completely sure
What system of linear inequalities is shown in the graph?
Answers
The system of inequalities is:
y < -4*x + 1
y ≥ (1/2)*x + 1
Which system of linear equations is graphed here?Here we can see two lines, one dashed that passes through (0, 1) and (-1, 5), then the slope is:
s = (5 - 1)/(-1 - 0) = -4
And the y-intercept is 1, then the inequality is:
y < -4*x + 1
The other line is solid, and the shaded region is above the line.
This line passes through (0, -1) and (2, 0), then the slope is:
s = (0 + 1)/(2 - 0) = 1/2
So the inequality is:
y ≥ (1/2)*x + 1
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