Answer:
14. Original Price = $43.20
15. Original Price = $32.50
The Yellow Taxicab Co. charges a $2.75 flat rate and $.65 for each additional mile. Emma has no more than $14 to spend on a ride. Carefully set up an inequality, how many miles can Emma ride without exceeding her spending limit?
The maximum miles that Emma can ride without exceeding her spending limit is 17.3 miles
What are Linear Inequalities?
A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It depicts the data which is not equal in graph form.
The linear expression formed using the given description will be 2.75 + 0.65x
where x is the total number of miles
and the linear inequality formed will be 2.75 + 0.65x < 14
Refer to the graph below
So, the maximum miles that Emma can ride without exceeding her spending limit is 17.3 miles
To learn more about Linear Inequalities from the given link
https://brainly.com/question/24372553
#SPJ1
Vladas believes that an equation with a squared term is never a function of x. Which equation can be used to show vladas that his hypothesis is incorrect?.
The equation that shows that his hypothesis is wrong is:-
x²+ y²= 25
What is an equation in math?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.
How do we solve equations?Remove parentheses from each side of the equation and combine similar terms to make it simpler.
To separate the variable term on one side of the equation, use addition or subtraction.
To find the variable, use division or multiplication.
Vladas said that the equation with a squared term is never a function of x.
According to the Pythagorean Theorem, the square of two natural numbers is the third number. When these numbers are used to create a triangle, a right-angled triangle is formed, with a 90° angle between the two smaller sides.
Among the four provided hypotheses:
Option (C) is true since x2+y2=25.
To learn more about equations click the following link:-
https://brainly.com/question/4675274
#SPJ4
Find the 23rd term 20,-2,-24 and find explicit formula
-464 is the 23rd term of sequence 20,-2,-24
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The sequence is 20,-2,-24...
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is always the same.
In the sequence first term is 20
and common difference is -2-20 is -22
The general term of arithmetic sequence is aₙ=a+(n-1)d
We need to find 23rd term
a₂₃=20+(23-1)(-22)
=20+22(-22)
=20-484
=-464
Hence, -464 is the 23rd term of sequence 20,-2,-24
To learn more on Sequence click:
https://brainly.com/question/21961097
#SPJ1
I NEED THIS ASAP!!
f(x)=x^2. what is g(x)?
Answer:
A
Step-by-step explanation:
Can you find the perimeter of each triangle and type the correct code? Please remember to type in ALL CAPS with no spaces.
Perimeter of triangles is 6x + 12, 18x + 12, 12x - 9 and 14x - 4.
What is perimeter of a triangle?
The perimeter of any two-dimensional figure is defined as the distance around the figure. Therefore, perimeter of a triangle is sum of three sides of a triangle.
According to the given question:
Perimeter of given triangles is
1) Sum of all sides of triangle 1
= (x + 6) + (3x + 2) + (2x + 4)
= 6x + 12
2) Sum of all sides of triangle 2
= (6x + 4) + (7x + 1) + (5x + 7)
= 18x + 12
3) Sum of all sides of triangle 3
= (4x - 3) + (3x) + (5x - 6)
= 12x - 9
4) Sum of all sides of triangle 4
= (6x - 8) + (3x + 7) + (5x - 3)
= 14x - 4
To know more about perimeter of triangle visit
https://brainly.com/question/29472908
#SPJ1
In a company, 80% of the workers are women. If 760 people work for the company who aren't women, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Using mathematical operations, we know that the total number of workers in the company is 3,800.
What are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.
There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.
Parentheses, Exponents, Multiplication, Division, and Addition Subtraction are also known as PEMDAS (from left to right).
So, we know that 80% of all workers are women.
760 people who work for the company are not women.
Which means:
80% = x
20% = 760
Now, calculate the total workers as follows:
80/x = 20/760
20x = 80 * 760
x = 80 * 760/20
x = 3,040 (Women workers)
Total workers: 3040 + 760 = 3,800 workers
Therefore, using mathematical operations, we know that the total number of workers in the company is 3,800.
Know more about mathematical operations here:
brainly.com/question/28937023
#SPJ1
Which of the following constructions must you know how to do in order to construct a circumscribed circle for a given triangle?
angle bisector
inscribed quadrilateral
perpendicular bisector
duplicating a line segment
10000
The following constructions are crucial in drawing inscribed circles:
Construct an angle bisector
Construct perpendicular lines
What is the procedure to follow in drawing inscribed circles on an equilateral triangle?
An inscribed circle is a circle drawn in a triangle. An equilateral triangle is a triangle with three equal sides and angles.
The procedure to follow in drawing inscribed circles in such an equilateral triangle is as follows:
You need to construct an angle bisector at each angle of the triangle
Where they meet at the center, is the center of the inscribed circle.
Construct a straight perpendicular line, from the center to one side of the triangles
Set the compass just on the center point, you can change the length to where the perpendicular intersects the triangle to fit in, and construct your inscribed circle.
Learn more about drawing inscribed circles in an equilateral triangle here:
brainly.com/question/10132966
#SPJ1
In a division question, when would you find the restrictions – before or after finding the
reciprocal? Explain your reasoning.
we find the restrictions after finding the reciprocal
What is Division?A division is a process of splitting a specific amount into equal parts.
The values that give a value of 0 in the denominator are the restrictions.
To divide rational expressions, multiply by the reciprocal of the divisor.
The restrictions to the domain of a product consist of the restrictions to the domain of each factor.
To solve this we changes to reciprocal
The reciprocal rule of division method is “Multiply the dividend by the reciprocal of the divisor”.
Hence, we find the restrictions after finding the reciprocal
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ1
Find the quotient of (−2/9)÷(−21/3÷1/9).
Answer:
176366843 / 50000000000
Answer:
[tex]\frac{-2}{567}[/tex]
Step-by-step explanation:
The table and scatter plot show the revenue of a small convenience store from 2012 to 2020. The line of fit represents the predicted revenue y, in thousands of dollars, x years after 2012. Complete the statements to analyze the residuals.
Year Revenue (thousands of dollars)
2012 365
2013 338
2014 367
2015 379
2016 371
2017 380
2018 384
2019 381
2020 390
The number of positive residuals is
The number of negative residuals is
The smallest residual is
The largest residual is in the year .
Does the largest residual correspond to an outlier in the data?
Enter yes or no.
Revenue is a calculation or estimation of periodic profits primarily based totally on a particular popular accounting practice or the policies mounted via way of means of a central authority or authorities agency.
The required details for revenue in given paragraph.
What is revenue?
Revenue is simply the profit you earn from your business
Solution;
The number of positive revenues were generated is 6 years
The number of negative revenues were generated in 3 years
smallest revenues were in 2013
Largest revenue was generated in 2020
Actually we are just comparing the data from all previous years and we are also comparing the revenues from them so that we can analyze them and do accounting further
accordingly to multiply the revenues
To learn more about revenues:
https://brainly.com/question/8645356
#SPJ1
What is an angle this is supplementary to CFE
I think you're answer is right angle
An equation is shown.
8 + x = 32
What value of x makes the equation true?
4
24
40
256
The value of x which will make the equation 8 + x = 32 true will be 24 thus, option (B) is correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given equation,
8 + x = 32
Put x = 4
8 + 4 = 12 ≠ 32
Put x = 24
24 + 4 = 32 (so it will be the solution)
Hence "The value of x which will make the equation 8 + x = 32 true will be 24".
For more about the equation,
brainly.com/question/10413253
#SPJ1
what is the slope of the line?
The slope of the graph of the line is 40.
What is slope?The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.
Taking any to points on the line point (5, 200) and (10, 400)
Slope = change in y-coordinates / change in x-coordinates
change in y-coordinate = 400 - 200 which is 200
change in x-coordinate = 10 - 5 = 5
slope = 200/5 which is 40
In conclusion the slope of the straight line graph is 40
Learn more about slope: https://brainly.com/question/1884491
#SPJ1
There were 35 bunche of roe and tulip. Each bunch had 12 of the ame flower. There 7 more bunche of tulip than roe. How many tulip were there?
As per the unitary method, the number of tulip were 21.
Unitary method:
In algebra, unitary method defines how to find the value of a unit from the value of a multiple and the value of a multiple from the value of a unit.
Given,
Here we have There were 35 bunches of rose and tulip. Each bunch had 12 of the roe flower. There 7 more bunches of tulip than rose.
Now we need to find how many tulip were there.
Let number of bunches of roses be x.
And then the number of bunches of tulips will be x + 7
The total number of bunches of flowers = 35
So, it can be written as,
=> x + x + 7 = 35
When we simplify this one then we get,
=> 2x + 7 = 35
Now, we have to subtracting both sides by 7
=> 2x = 28
Then dividing both sides by 2
=> x = 14
So, the number of bunches of roses = 14
Then the number of bunches of tulips = 14 + 7 = 21
To know more about Unitary method here.
https://brainly.com/question/28276953
#SPJ4
GIVING BRAINLIEST PLS HELP!! Which of the following absolute value expressions are equal to 10. (More than 1)
-8 + |-17 - 1|
120 ➗ |-2 • 3|
|-15 ➗ 5| • (-5)
|20 - 25| • 2
33 - |6 + 17|
Answer:
The First One and the last one
What is the slope of a line perpendicular to the line whose equation is 6x+y=-5.Fully simplify your answer.
Answer:
The slope is 1/6.
Step-by-step explanation:
The slope of the given equation is -6. Perpendicular lines have negative reciprocal slopes.
25 POINTS!
Which of the following is an equation of a line PARALELL to the equation y=-4x+5
A. Y=4x+1
B. Y=-4x+1
C. Y=1/4x+1
D. Y=-1/4x+1
Which of the following is an equation of a line PERPENDICULAR to the equation y=-4x+5
A. Y=4x+1
B. Y=-4x+1
C. Y=1/4x+1
D. Y=-1/4x+1
Help please math question show answer of how you solved solve ASAP
The solution of the system of equations is (x, y) = (9/2, -7/10).
What is the system of linear equations?
A system of linear equations is a group of one or more linear equations that can be solved by using a simultaneous equation or elimination method. Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
To solve a system of equations, we can use any of the following methods:
Substitution method,
Elimination method,
Matrix method.
Let's use the substitution method to solve the given system of equations.
We can solve the first equation for z:
z = 7 - 3x - 2y
Substituting this expression into the third equation, we get:
3x + 2y + 3(7 - 3x - 2y) = 1
This simplifies to:
-5x - 3y + 21 = 1
Adding 5x and 3y to both sides, we get:
21 = 5x + 3y + 1
Subtracting 1 from both sides, we get:
20 = 5x + 3y
Dividing both sides by 5, we get:
4 = x + 3/5 y
Substituting this expression into the first equation, we get:
3(x + 3/5 y) + 2y + 7 = 7
This simplifies to:
2y = -7/5
Dividing both sides by 2, we get:
y = -7/10
Substituting this value into the expression for x, we get:
x = 4 - 3/5(-7/10)
This simplifies to:
x = 4 + 21/10
x = 9/2
Hence, the solution of the system of equations is (x, y) = (9/2, -7/10).
To learn more about the Linear equations visit,
https://brainly.com/question/28144615
#SPJ1
all this for brainiest and a lot of points
1.) how do you get from 10^8 to 10^4
2.) how do you get from 10^0 to 10^-1
3.) what is 10^-4 equivalent to
4.) what is 1/1000000 equivalent to
5.) look at the attached picture
Review the following derivation of the tangent double angle identity. The steps are not listed in the correct order
After reviewing the derivative of the tangent double , the correct order of the derivative is (a) .
In the question ,
the derivative of the double tangent is given ,
we have to select the correct order of the derivative .
the function is tan(2x) .
Step 4: tan(2x) = Sin(2x)/cos(2x)
Step 3 :
expanding sin(2x) and cos(2x) using identity ,
we get ,
= 2sinxcosx/(cos²x - sin²x)
Step 5 :
dividing the numerator and denominator by cos²x .
= [2sinxcosx/cos²x]/[cos²x/cos²x - sin²x/cos²x]
Step 1 : simplifying further,
we get ,
= [2sinx/cosx]/[1 - sin²x/cos²x]
Step 2 : writing sinx/cosx = tanx
we get ,
tan2x = 2tanx/(1 - tanx)
Therefore , the correct order for the given derivative is (a) 4, 3, 5, 1, 2 .
The given question is incomplete , the complete question is
Review the following derivation of the tangent double angle identity. The steps are not listed in the correct order
(a) 4, 3, 5, 1, 2
(b) 4, 5, 3, 1, 2
(c) 3, 4, 5, 1, 2
(d) 3, 4, 1, 5, 2
Learn more about Derivative here
https://brainly.com/question/28381632
#SPJ4
Which statement is true?
O A.
B.
C.
D.
the other acute angle.
In any right triangle, the sine of one acute angle is equal to the cosine of
In any right triangle, the sine of one acute angle is equal to the sine of its complementary angle.
In any right triangle, the cosine of one acute angle is equal to the cosine of
angle.
its complementary
and the cosine of the other acute angle is 1.
In any right triangle, the sum of the sine of one acute angle
Answer:
In any right triangle, the sine of one acute angle is equal to the cosine of the other angle.
Step-by-step explanation:
Can some one show me what is 8.92×1.7 please
Answer: 15.164
Step-by-step explanation:
Someone please help me
Answer: You are correct
Step-by-step explanation: You are correct with both answers because 9x + 7 and 7 + 9x will equal the same thing. Here's an example
X=3
9(3) + 7
27+ 7
34
7 + 9(3)
7+27
34
34=34
It only equals 34, no matter the order. So, it has one solution.
I hope this helps!
Answer:
Equivalent
Step-by-step explanation:
The expressions 9x+7 and 7+9x are equivalent .The equation has infinite many solutions
Part A
MANUFACTURING A fashion company spends $10 to produce a pair of jeans and $2 to produce a shirt. During a
typical month, they spend $3500 on the production of jeans and shirts. During months in autumn, though, they
double the pairs of jeans produced and spend a total of $6000. How many pairs of jeans and t-shirts does the
company make during a typical month?
Letj= number of pairs of jeans and k = number of shirts.
Part A
Write the system of equations.
Select Choice vj+ Select Choice k= 3500
Select Choice v + Select Choice
k=6000
Answer: When you solve the equations and work them out, you get the answer of $4000.
The line L has equation 3x + 4y -12 =0
The gradient of line L is: ?
The line crosses the y axis at the point P with coordinates: ?
The line crosses the x axis at the point Q with coordinates: ?
The triangle formed by the line and the x and y axes has area =
square units
For non-integer solutions, express the answer as a proper or an improper fraction using the notation a/b
Answer:
1 -3/4
2. P(00,3)
3. Q(4,0)
4. 6
Step-by-step explanation:
1. 3x+4y=12
4y= -3x+12
y= -(3/4)x+ 3 , so gradient = -3/4
2. Y intercept is P (0,3)
3. X intercept is Q(4,0)
4. Area = 3×4÷2=6
4. Jim paid £70 for a bike.
Then pays £10 per month.
a) Write down an expression
for the total amount paid after
m months.
b) Factorise the expression.
Step-by-step explanation:
Jim paid £70 for a bike. Then pays £10 per month.
a) Write down an expression for the total amount paid after m months.
cost = 10m + 70
_______________________________________
b) Factor the expression.
10m + 70
common factor is 10 so:
10(m + 7)
Answer:
Step-by-step explanation:
100
Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 505050 total rooms. Joe had already reserved and paid for 161616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 888 rooms and costs \$900$900dollar sign, 900. Let bbb represent the number of additional blocks that joe reserves. 1) which inequality describes this scenario? choose 1 answer:.
The inequality expression is :16 + 8B ≥ 50
Least amount that could be spent = $4500
What is inequality expression?
An algebraic inequality is a mathematical statement that uses the inequality sign to relate an expression to a value, a variable, or another expression. "Greater than" and "greater than or equal to" are two verbs that can be translated as inequalities.
need at least 50 total rooms.
Room already booked = 16
Number of Blocks booked = B
Each Block = 8
8B - Addition room Booked
Total room booked = 8B + 16
Total room booked ≥ need at least 50 total rooms
8B + 16 ≥ 50
=> 16 + 8B ≥ 50 , option B is correct
=> 8B ≥ 34
=> 4B ≥ 17
minimum B = 5
Cost = 900 * 5 = 4500 $
least amount of additional money Joe can spend to get the rooms they need in dollars = 4500
To learn more about inequality expression visit:https://brainly.com/question/29506182
#SPJ4
describe one situation where parametric equations can describe a physical situation where a standard relationship between two variables will not suffice
Consider presenting a particle moving through three dimensions as an illustration. Several x, y, and z-based equations could be used to describe its path.
Explain the term parametric equations?There are two kinds of parametric equations which are frequently encountered in practical applications.
The concept problem described the first as circular motion.Projectile motion is the second type.Circular Motion:
In parametric equations that model circular motion, sine and cosine have periodic functions for x and y.
Either x is a sine function and y is a cosine function, or vice versa.Thus, Consider presenting a particle moving through three dimensions as an illustration. Several x, y, and z-based equations could be used to describe its path.Projectile Motion:
The vertical component of projectile motion is quadratic, and the horizontal component is linear.
This is due to the fact that starting height, starting velocity, and gravitational force are the three variables that have the most impact on an object's location throughout flight. The vertical component has no bearing on the horizontal component.To know more about the parametric equations, here
https://brainly.com/question/28498229
#SPJ4
what happens if there are 36 members and you use more then 6 members per row
Answer:
6
Step-by-step explanation:
Find nd the 10th term of the series attached.
Answer:
[tex]C) \ -2(2/3)^8[/tex]--------------------------
The nth term is visible in the sum:
[tex]t_n=3(-2/3)^{n-1}[/tex]Apply n = 10 to find the 10th term:
[tex]t_{10}=3(-2/3)^{10-1}[/tex][tex]t_{10}=3(-2/3)^9[/tex][tex]t_{10}=3(-2/3)^{8+1}[/tex][tex]t_{10}=3(-2/3)^8*(-2/3)[/tex][tex]t_{10}=-2(-2/3)^8[/tex][tex]t_{10}=-2(2/3)^8,\ since\ the\ power\ is\ even\ number[/tex]The matching choice is C.