Elsa will rent a car for the weekend she van choose one of two plans the first plan has an initial fee of $51.98 an cost an additional 0.12 per mile driven the second plan has an initial fee of $37.98 and cost an additional 0.16 per mile driven. How many miles would elsa need to drive for the two plans to cost the same
Answers
Related Questions
Graph this line using the slope and y-intercept:
y=x+9
Click to select points on the graph.
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give a time where you confused correlation and causation
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Answer: A
Step-by-step explanation:
In math
Solve the system of equations.
−2x+5y =−35
7x+2y =25
Answers
Answer:
The equations have one solution at (5, -5).
Step-by-step explanation:
We are given a system of equations:
[tex]\displaystyle{\left \{ {{-2x+5y=-35} \atop {7x+2y=25}} \right.}[/tex]
This system of equations can be solved in three different ways:
Graphing the equations (method used)Substituting values into the equationsEliminating variables from the equationsGraphing the Equations
We need to solve each equation and place it in slope-intercept form first. Slope-intercept form is [tex]\text{y = mx + b}[/tex].
Equation 1 is [tex]-2x+5y = -35[/tex]. We need to isolate y.
[tex]\displaystyle{-2x + 5y = -35}\\\\5y = 2x - 35\\\\\frac{5y}{5} = \frac{2x - 35}{5}\\\\y = \frac{2}{5}x - 7[/tex]
Equation 1 is now [tex]y=\frac{2}{5}x-7[/tex].
Equation 2 also needs y to be isolated.
[tex]\displaystyle{7x+2y=25}\\\\2y=-7x+25\\\\\frac{2y}{2}=\frac{-7x+25}{2}\\\\y = -\frac{7}{2}x + \frac{25}{2}[/tex]
Equation 2 is now [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex].
Now, we can graph both of these using a data table and plotting points on the graph. If the two lines intersect at a point, this is a solution for the system of equations.
The table below has unsolved y-values - we need to insert the value of x and solve for y and input these values in the table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & a \\ \cline{1-2} 1 & b \\ \cline{1-2} 2 & c \\ \cline{1-2} 3 & d \\ \cline{1-2} 4 & e \\ \cline{1-2} 5 & f \\ \cline{1-2} \end{array}[/tex]
[tex]\bullet \ \text{For x = 0,}[/tex]
[tex]\displaystyle{y = \frac{2}{5}(0) - 7}\\\\y = 0 - 7\\\\y = -7[/tex]
[tex]\bullet \ \text{For x = 1,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(1)-7}\\\\y=\frac{2}{5}-7\\\\y = -\frac{33}{5}[/tex]
[tex]\bullet \ \text{For x = 2,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(2)-7}\\\\y = \frac{4}{5}-7\\\\y = -\frac{31}{5}[/tex]
[tex]\bullet \ \text{For x = 3,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(3)-7}\\\\y= \frac{6}{5}-7\\\\y=-\frac{29}{5}[/tex]
[tex]\bullet \ \text{For x = 4,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(4)-7}\\\\y = \frac{8}{5}-7\\\\y=-\frac{27}{5}[/tex]
[tex]\bullet \ \text{For x = 5,}[/tex]
[tex]\displaystyle{y=\frac{2}{5}(5)-7}\\\\y=2-7\\\\y=-5[/tex]
Now, we can place these values in our table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]
As we can see in our table, the rate of decrease is [tex]-\frac{2}{5}[/tex]. In case we need to determine more values, we can easily either replace x with a new value in the equation or just subtract [tex]-\frac{2}{5}[/tex] from the previous value.
For Equation 2, we need to use the same process. Equation 2 has been resolved to be [tex]y=-\frac{7}{2}x+\frac{25}{2}[/tex]. Therefore, we just use the same process as before to solve for the values.
[tex]\bullet \ \text{For x = 0,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(0)+\frac{25}{2}}\\\\y = 0 + \frac{25}{2}\\\\y = \frac{25}{2}[/tex]
[tex]\bullet \ \text{For x = 1,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(1)+\frac{25}{2}}\\\\y = -\frac{7}{2} + \frac{25}{2}\\\\y = 9[/tex]
[tex]\bullet \ \text{For x = 2,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(2)+\frac{25}{2}}\\\\y = -7+\frac{25}{2}\\\\y = \frac{11}{2}[/tex]
[tex]\bullet \ \text{For x = 3,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(3)+\frac{25}{2}}\\\\y = -\frac{21}{2}+\frac{25}{2}\\\\y = 2[/tex]
[tex]\bullet \ \text{For x = 4,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(4)+\frac{25}{2}}\\\\y=-14+\frac{25}{2}\\\\y = -\frac{3}{2}[/tex]
[tex]\bullet \ \text{For x = 5,}[/tex]
[tex]\displaystyle{y=-\frac{7}{2}(5)+\frac{25}{2}}\\\\y = -\frac{35}{2}+\frac{25}{2}\\\\y = -5[/tex]
And now, we place these values into the table.
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]
When we compare our two tables, we can see that we have one similarity - the points are the same at x = 5.
Equation 1 Equation 2
[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex] [tex]\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}[/tex]
Therefore, using this data, we have one solution at (5, -5).
(Hat Check problem). n people enter the restaurant and put their hats at the reception. Each person gets a random hat back when going back after having dinner. Find the expected value and variance of the number of people who get their right hat back.
Answers
Answer:
E[X] = 1
Var[X] = 1
Step-by-step explanation:
We are told that n people enter the restaurant and put their hats at the reception.
This means that there are n hats.
Also, we are told that eeach person gets a random hat back when going back after having dinner.
Thus, each person will pick a hat uniformly at random and will get a right hat back with the probability: 1/n.
The expectation is linear even though the random variables are dependent. Thus, the expected mean of the total number of persons who get their right hat back is: E[X] = n × 1/n = 1
Now, the variance in hat problem is given by;
Var[X] = E[X²] - E[X]²
This gives;
Var[X] = E[X²] - 1
Now, E[X²] is expressed as;
E[X²] = n(1/n) + n(n - 1)•(1/n)•(1/(n - 1))
E[X²] = 1 + 1
E[X²] = 2
Thus;
Var[X] = 2 - 1
Var[X] = 1
PLS HELP ASAP I WILL MARK BRAINLIEST THIS IS DUE SO SOON DONT ANSWER IF NOT SURE
Answers
You start out negative then add on to get to the third level so it is 7
Answer:
D (7 floors)
Step-by-step explanation:
You start off 4 floors below the start (-4) and you go up to floor 3. Therefore you go up 4 floors to floor 0 then 3 more to floor 3. 4+3=7
I hope this helps and good luck!
(I'LL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEE!!!!!!!!!!! :D)
Solve one and two tenths plus eight and one eighteenth.
A) nine and one twenty eighths
B) nine and three twenty eighths
C) nine and thirty six one hundred eightieths
D) nine and forty six one hundred eightieths
Answers
Answer:
Its D
Step-by-step explanation:
Answer:
It would be 9 13/40
Step-by-step explanation:
Convert any mixed numbers to fractions.
Reduce fractions where possible.
Then your initial equation becomes:
6/5 + 65/8
Applying the fractions formula for addition,
=(6×8)+(65×5)5×8
=48+325/40
=373/40
Simplifying 373/40, the answer is =9 13/40
what do rigid motions preserve
a:size and shape
b:shape and direction
c:size and location
d:shape and location
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The senior class sells movie tickets to students and teachers. The student tickets cost $4 each and teacher tickets cost $8 each. If they earned only $44, how many possible combinations of student and teacher tickets could have been sold?
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Answer: There are 6 possible combinations:
Student | Adult . $
11 | 0 . 44 + 0
9 | 1 36 + 8
7 | 2 28 + 16
5 | 3 20 + 24
3 | 4 12 + 32
1 | 5 4 + 40
Step-by-step explanation:
We can use an equation 4x + 8y = 44
Graph it and see where the graphed line crosses the grid lines at integers.
What is the quotient of
3/4 and 1/5
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Answer:
3.75
Step-by-step explanation:
Write the equation of the line.
y=-2/3x + 4
y =2/3x-4
Y=3/2x-4
y = -3/2x +4
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How is symmetry in the real world different from symmetry in geometry?
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Answer:
In geometry symmetry has to measure to the same but in real life if they are close enough it is good enough
Please help me! I give 30 pts to whoever answers!
Answers
Answer:
4 lollipops and 3 penicls in each bag, so 50 bags
Step-by-step explanation:
I've had to do this one before
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
What does it mean to be a linear function?
Answers
Answer:
It means if you graph the function, the line is straight.
also s p a m
Answer:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
Step-by-step explanation:
plzz mark brianliest i needdddd
How would you describe the relationship between the real zero(s) and x-intercept(s) of the function
f(x) =
3x(x - 1)
x2(x+3)(x + 1)
When you set the function equal to zero, the solution is x = 1; therefore, the graph has an x-intercept of (1,0).
O When you set the function equal to zero, the solutions are x = 0 or x = 1; therefore, the graph has x-intercepts at
(0, 0) and (1,0).
O When you substitute x = 0 into the function, there is no solution, therefore, the graph will not have any X-
intercepts.
Since there are asymptotes at x = -3, x = -1, and x = 0, the graph has no x-intercepts and therefore, no real
zeros.
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The description of the relationship between the real zero(s) and x-intercept(s) of the function should be option A.
Relationship between the real zero(s) and x-intercept(s) of the function:Since it is given that
f(x) = 3x(x - 1)
x2(x+3)(x + 1)
Also, the function should be set out and equivalent to zero when x = 1
and, the graph should have an x-intercept of (1,0).
Therefore, the option A is correct.
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Answer:
AAAAAAAAAAAAAAAAAAAAAAAAAAAA
Step-by-step explanation:
Due today at 12:59!!!!!
Answers
Answer: Im confused?
Step-by-step explanation:
Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109
B. c+a=109
c=a+15
C. c+a=109
a=c+15
D. c-a=15
c=a+109
Answers
Answer:
C
Step-by-step explanation:
consider the following system of equations:2x+3y=45,x+y=10 what is the x value of the solution for this system?
Answers
Step-by-step explanation:
The answer for x in the solution is -5
Please help I’ll mark brainliest if u give a small explanation
Answers
Answer:
35
Step-by-step explanation:
yeah becuse 35fttttt
Answer:
45 degrees
Step-by-step explanation:
All triangles have 180 degrees...
So, 85 + 50 = 135
180 - 135 = 45
Hence, the answer is 45 degrees
I hope this helped :)
4% as a fraction or mixed number in simplest form
Answers
Answer:
1 /25
Step-by-step explanation:
percent means
out of 100
⇒
4
%
=
4
100
as a fraction
To simplify the fraction we require to find a
common factor
to both 4 and 100 and reduce the fraction by dividing. The common factors are 2 and 4 . Choose the largest, that is 4
⇒
4
100
=
4
÷
4
100
÷
4
=
1
25
This calculation is usually set out using
cancelling
4
100
=
4
1
100
25
=
1
25
←
in simplest form
A fraction is in
simplest form
when no other factor but 1 will divide into the numerator/denominator.
A boat rental company offers two different rental packages. The first rental package costs $45, plus $29.50 per hour. The second rental package costs $90, plus $0.70 per hour. Which answer choice best approximates the number of rental hours at which the boating packages cost the same amount?
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Answer:
$90
Step-by-step explanation:
if four out of 10 people vote then in a town with 200,00 people how many will vote
Answers
Answer:
80,000
Step-by-step explanation:
You see all you have to do is find out what 200,000 divided by 10 is : 20,000 then multiply that by four leaving you with a answer of 80,000.
Find the variable:
24 + 2p = 33
Answers
Answer:
p= 9/2
Step-by-step explanation:
9.2x8.9= please put shown work on it please and thank you if you do then i will mark you as the brainist
Answers
Answer:
81.88 is the answer
Step-by-step explanation:
12x+6=5x how many solutions
Answers
Answer -6/7
Step-by-step explanation:Factor then solve to find the complex solutions.
Answer:
-6/7
Step-by-step explanation:
12x+6=5x
12x-5x=-6
7x=-6
X=-6/7
So the answer is -6/7
Write the number, 81.402 in expanded form using powers of ten.
Answers
Answer:
the answer is 81.402 in expanded form using the powers of ten = (8 x 10^1) + (1 x 10^0) + (4/10^1) + (0/10^2) + (2/10^3)
Step-by-step explanation:
what is the geometric mean of 8 and 18
Answers
Answer:
12.
Step-by-step explanation:
The geometric mean of two numbers a and b is sqrt(ab).
Hence, sqrt(8 * 18) = sqrt (144) = 12.
Hope this helped!
The geometric mean of 8 and 18 is 12 which is calculated as the square root of their product, which is 12.
Given two numbers are:
First number = 8
Second number = 18.
To find the geometric mean of two numbers, multiply the numbers together and then take the square root of their product.
Step 1: Find of the two numbers.
Product P: [tex]8 \times 18 = 144[/tex]
Step 2: Find the square root of the product.
Geometric mean = [tex]\sqrt{P}[/tex]
Plugging the value of P gives:
Geometric mean = [tex]\sqrt{144}[/tex]
Take the square root of 144, gives:
Geometric mean = 12.
Therefore, the geometric mean of 8 and 18 is 12.
The geometric mean is often used to find the average growth rate or to compare quantities that vary exponentially.
In summary, the geometric mean of 8 and 18 is calculated as the square root of their product, which is 12.
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Type the correct answer in the box.Use numerals instead of words. If necessary, use / for the fraction bar.ΔABC is a right triangle in which ∠B is a right angle, AB = 1, AC = 2, and BC = .
cos C × sin A =
Answers
Answer:
3/4
Step-by-step explanation:
The value of cos C x sin A is 3/2.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
AB = 1
AC = 2
BC = √3
Now,
∠B = 90°
∠A = 60°
∠C = 180 - (90 + 60) = 180 - 150 = 30°
cos C = cos 30° = √3 / 2
sin A = sin 60° = √3/2
Now,
Cos C x Sin A
= √3/2 x √3 / 2
= 3/2
Thus,
The value is 3/2.
Learn more about triangles here:
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A gym floor has a perimeter of 1,935 feet, what is the perimeter in yards? (PLEASE HELPPP!!!!! Is with time!!!!)
Answers
Answer:645yards
Step-by-step explanation: 1 foot is 0.33333333 and math also the Convert units tab in google
Now that you have described several mappings, consider a more general example. Suppose you are given two shapes and you must show that they are congruent using transformations. If the orientation of these two shapes is the same, which type(s) of transformations should you use to show that they are congruent? Why?
Answers
We will use Rotational transformation.
What is congruence transformation ?A congruence transformation is getting a congruence or similar image after we do any types of the known transformation.
According to the given question
We are given two shapes and we must show that they are congruent using transformations.
We can show the given two shapes are congruent by Reflections, Rotations and Translations.
Here in the given question it is being said that the orientation of these two shapes is the same so we should use rotational transformations.
In rotational transformation we can rotate a figure in clockwise or in anti-clock wise direction. Rotational transformation can be of any degree but in general we rotate it by 90°, 180°, 270° or by 360°.
In rotational transformation object's side length their adjacent angles remain same.
If by doing some degrees of rotational transformation and the figure looks exactly as before it has then it has rotational symmetry for that value of degrees.
Learn more about transformation here :
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Every night, Eloise reads 40 pages. How many total pages does she read at night during the 30 days of November?
Answers
Answer:
1200
Step-by-step explanation:
Answer:
40 x 30 = 1200 pages
Step-by-step explanation:
I hope this helps :)