The function which represents the jeepney fare in terms of the distance(d) in kilometers is F = 2x ₊ 3.
Given a bus ride costs 11 pesos for first 4 kilometers.
2.00 pesos for each succeeding kilometer.
Function of Fare (F) in terms of distance (d).
Let F represent the total fare and d represent the distance in kilometers.
F = rate of fare × distance
rate = 11 for 4 km, and 2 for each km
rate = 11, if x ≤ 4,
rate = 2, if (x₋4), and x > 4
hence the equation is:
F = 11 pesos, if x ≤ 4,
F = 11 ₊ 2(x₋4), if x > 4
Simplify the above equation.
F = 11 ₊ 2x ₋ 8
F = 2x ₊ 3
Hence we derived the function in terms of distance as F = 2x ₊ 3
Learn more about Linear equations here:
brainly.com/question/4074386
#SPJ9
need help with this! show work please!
Answer:
(a) 1/2
(b) $1,080,000
(c) 72°
Step-by-step explanation:
We have to find the ratio in which the money is being distributed
To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings
5 + 3 + 2 = 10
Chris's share = 5/10 = 1/2
Danny's share = 3/10
Evelyn's share = 2/10 = 1/5
Answers
(a) Fraction of Danny's share = 1/2
(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000
(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°
Problem B: Mr. Zoetz placed red, blue, and yellow gumballs in his gumball machine. • He placed 253 yellow gumballs in the gumball machine. He placed 98 more yellow gumballs than red gumballs in the gumball machine • He placed 27 fewer blue gumballs than red gumballs in the gumball machine. How many gumballs did Mr. Zoetz place in the gumball machine?
He placed 479 gumballs in the gumball machine.
We are given that Zoetz placed red, blue, and yellow gumballs in his gumball machine.
Now in the gumball machine, we are given that he:
He has placed 253 yellow gumballs.
Now, we are given an expression that the number of red gumballs is 98 less than the yellow ones.
Number of red gumballs = 253 - 98 = 155 gumballs.
Also, another expression says that blue gumballs are 27 less than the red ones.
Number of blue gumballs = 155 - 27 = 128 gumballs.
Total gumballs = 253 + 98 + 128 = 479 gumballs.
Therefore, he placed 479 gumballs in the gumball machine.
Learn more about expression here:
https://brainly.com/question/723406
#SPJ9
The salary for a groun of executives was listed as follows: 18 at $50,000; 10 at $60,000; 8 at $75,000; 2 at $90,000; and 2 at $10,000. What is the average salary?
Answer:
The average salary is $57,500
Step-by-step explanation:
You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2
To find the total salaries"
18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000
2300000/40 = 57,500
Peter signed up for a program that cost $10.50 per month to stream movies to his computer. He decided to cancel the service after 5/6 month, he only has to pay for the amount of time he use the service. What number represents the total change in what amount of money Peter has after paying for the service.
In linear equation, $1.75 is amount of money Peter has after paying for the service.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Peter signed up for a program that costs $10.50 per month to stream movies to his computer.
He decided to cancel his service after 5/6 month.
So, has to pay for the amount of time he used the service
$10.50 . 5/6 = $175.5 = $8.75
The amount of money Peter has after paying for the service is
$10.50 - $8.75 = $1.75
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
Simplify completely:
(c^-6 d^4)^1/2
Answer:
d^2/c^3
Step-by-step explanation:
write problem with negative exponent rule
(1/c^6 d^4)^1/2
combine 1/c^6 & d^4
(d^4/c^6)^1/2
use exponent rules to finish simplifying
d^2/c^3
please help please help this is easy but hard for me lol
Answer:
To make AEH(triangle) do a vertical cut from A to H
Step-by-step explanation:
13. There are 4,585 students who
rode the bus to school today.
There were 3,369 students who
came to school another way.
How many students were there
in all at the school?
The number of students in all at the school is 7,954 students.
How many students are in school?In order to determine the number of students in all at the school, you would add the number of students that rode the bus with the number of students that came to school another way.
Addition is the mathematical operation that is used to determine the sum of two or more numbers. The sign used to denote addition is +. Other mathematical operations are subtraction, division and multiplication.
Number of students in school = number of students that rode the bus + number of students that came another way
4,585 + 3,369 = 7,954 students
To learn more about addition, please check: https://brainly.com/question/19628082
#SPJ1
what is the median of 5,5,5,2,6,1,15,2,3,1
Answer:
The median is: 4
Hope this helps! <3
Use the equation of the least-squares regression line and the residual plot to estimate the actual mean weight of the infants when they were 1 month old
The actual mean weight of the infants when they were 1 month old is 4.297
The residual plot doesn't show any obvious leftover pattern, confirming that a linear model is appropriate.
the equation of this line as ˆy=12x−1 with an accent on the y to indicate that the y-values computed using this equation
y = 4.88 + 0.267(1)
y = 5.147
residual = -0.85 = A - 5.147 + 5.147
residual = 4.297
the actual mean weight of the infants when they were 1 month old is 4.297
For more information on mean weight click on the link below:
https://brainly.com/question/28218480
#SPJ4
(4x+1)(4x+1)
im so confused
Answer:
16x² + 8x + 1
Step-by-step explanation:
(4x + 1)(4x + 1)
each term in the second factor is multiplied by each term in the first factor, that is
4x(4x + 1) + 1(4x + 1) ← distribute both parenthesis
= 16x² + 4x + 4x + 1 ← collect like terms
= 16x² + 8x + 1
Answer:
16 x 2 + 8x + 1
Step-by-step explanation:
Using the foil method we expanded the polynomial.
An angle is defined as the space between two rays that emanate from a common point. True or false
True, there are some undefined terms like line, point angle, distance between two points .
Which definition of angle is the best?
The figure in which two rays intersect at the vertex, or common point, is referred to as an angle. The symbol "∠" is used to represent the angle.How does Euclid define angle?
A plane angle is the inclination toward one another of two intersecting, non-straight lines in the plane.
True, there are some undefined terms like line, point angle, distance between two points .
we intuitively know about the angle but can not give mathematical definition .
Learn more about angle
brainly.com/question/19247815
#SPJ4
If the volume of a cube increases at rate of 3 cm^3/sec what is the rate of increase of the length of its side ?
Greetings from Brasil...
We know that
V = L³ ⇒ L = ∛V
and
dV/dt = 3cm³/s (volume rate as a function of time)
Let
dL/dV = L' = 1/(3∛V²)
We need dL/dt (side rate as a function of time), so
(dV/dt) . (dL/dV) = dL/dt
then
dL/dt = 3 . [1/(3∛V²)]
dL/dt = 1/∛V²3(8-3)+2(4-1)
9(6-2)-11(5-2)
the solution for it ..
solving the bracket is important
To hire an accountant to prepare taxes costs a flat fee and an additional hourly rate. The amount the accountant costs can be modeled by the function A(x) = 140 + 25x, where x represents the number of hours the accountant works to prepare the taxes and 140 represents the flat fee. What is the value of A(215) and its interpretation?
A(215) = 3; If the accountant takes 215 hours to prepare the taxes, the cost will be $2.
A(215) = 3; If the account takes 3 hours to prepare the taxes, the cost will be $215.
A(215) = 5515; If the accountant takes 215 hours to prepare the taxes, the cost will be $5,515.
A(215) = 5515; If the accountant takes 5,515 hours to prepare the taxes, the cost will be $215.
The value of A(215) and its interpretation are captured thus:
A(215) = 5515; If the accountant takes 215 hours to prepare the taxes, the cost will be $5,515
What does the function represents?
The function given as A(x) = 140 + 25x, represents the total cost of using the services of the accountants for tax computation and preparation, bearing in mind that the 140 means $140 which is the fixed charged irrespective of the number of hours it takes to prepare the tax returns whereas the 25x means that $25 is charged as variable fee for every hour the accountant works on the tax computation
A(x) = 140 + 25x
In this case, A(215) means that 215 hours were made use of by the accountants, hence, to determine the total fees, we simply substitute for x
A(215) = 140+(25*215)
A(215) = 140+5375
A(215)=$5,515
Find out more about professional fees on:https://brainly.com/question/28447174
#SPJ1
Help please what is the slope of this
Answer:
1/2
Step-by-step explanation:
Rise over run. The rise is 4 the run is 8. Simplify.
After making several plates of empanadas, you are down to your last bag of shredded cheese. You realize that it’s not full; there is about / three-fourths of a bag left. If you want to make 4 plates with the remaining cheese, what fraction of a bag can you put on each plate?
The fraction of a bag that you can put on each plate is 3 /16.
What is the fraction you can put on each plate?A fraction is a non-integer that is made up of a numerator and a denominator. The numerator and the denominator are divided by a line. An example of a fraction is 1 / 2.
The fraction of the cheese that you can put on each plate can be determined by dividing the amount of cheese left by the number of plates. Division is the process of grouping a number into equal parts using another number.
Amount that can be put on each plate = fraction left / number of plates
3 /4 ÷ 4
3/4 × 1/4 = 3 /16.
To learn more about the division of fractions, please check: https://brainly.com/question/11700926
#SPJ1
Margo borrows $800 agreeing to pay it back with 8% annual interest after 8 months. how much interest will she pay?
Answer:
43
Step-by-step explanation:
800 × 8% × (8/12)
2 1/2 x 1/3 x 3 find the sum.
Answer:
2 1/2 x 1/3 x 3 = 5/2 or 2 1/2
The diagram shows five touching semicircles, each with radius 2. What is the length of the perimeter of the shaded shape? Give your answer in terms of π
The Length of perimeter of the shaded shape is; 24 - 8π
What is the Perimeter of the shaded area?
Let us first find the rectangle measurements that contains the shaded portions.
Width of rectangle = 2 * 4 = 8
Length of rectangle = 2 + 2 = 4
Perimeter of rectangle = 2(8 + 4) = 24 units
Now, let us find the perimeter of all semi circles and quarter circles that fall into into this rectangle region;
Perimeter of semi circles = πr + πr + πr + πr/2 + πr/2 = 4πr
Perimeter of semi circles inside the rectangle = 4π * 2 = 8π
Thus;
Length of perimeter of shaded shape = 24 - 8π
Read more about Shaded area Perimeter at; https://brainly.com/question/12208883
#SPJ1
98÷13=
I need help please...
Answer:
7.538461538
Step-by-step explanation:
In+a+recent+poll,+64%+of+the+respondents+supported+stricter+gun+laws.+is+this+an+example+of+statistic+or+a+parameter?
In a recent poll, 64% of the respondents supported stricter gun laws is statistic.
What is an example of a parameter?
To describe the entire population under study, a parameter is utilized. For instance, we are interested in learning the typical length of a butterfly. This information about the total butterfly population makes it a parameter.What is an example of a population parameter?
A parameter is a descriptive measure applied to a whole population. Numerous population parameters exist. For instance, the population size (N) is one parameter, while other parameters that relate to continuous variables are the population's mean diastolic blood pressure or mean body weight.Learn more about population parameter
brainly.com/question/8222250
#SPJ4
25. Communicate and Justify Ramon says that 4 1 can be rewritten as Jamal says that 12 124* it cannot because both the numerator and denominator need to be raised to the power of 4. Who is correct? Explain. Thinking For what values of x is
Answer:
Step-by-step explanation:
Ramon is correct to write the expression (1/12)⁴ that can be rewritten as 1/12⁴.
Use the concept of exponent defined as:
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Given that,
Ramon says that (1/12)⁴ can be rewritten as 1/12⁴.
And, Jamal says that it cannot.
Here, the expression is,
(1/12)⁴
Apply the rule of exponent as
1⁴ / 12⁴
1 / 12⁴
Hence, Ramon is correct to write the expression.
To learn more about exponent visit:
https://brainly.com/question/31242910
#SPJ7
|2x-5| < 7
How to solve for x?
Answer:
-1 < x < 6
Step-by-step explanation:
|2x - 5| < 7
-7 < 2x - 5 < 7
-2 < 2x < 12
-1 < x < 6
The number has 2 digits the number has 13 as a factor the sum of the digits is 11
Answer:
65
Step-by-step explanation:
- 2 digits ✅
- Has 13 as a factor ✅
- Sum of digits is 11 ✅
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
A: sf 2 or 1/2
Step-by-step explanation:
Answer:
Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
Part B:
P''(-1, 0)
Q''(0, -1)
R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are not congruent.
Step-by-step explanation:
A recipe uses both carrots and onions. The recipe uses 4 times more carrots than onions. If the recipe uses a total of 25 ounces of chopped carrots and onions, how many ounces of onions does the recipe use?
The ounces of onions is 5 ounces.
How to calculate the value?Let the onions be represented by x.
The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.
Therefore, the equation will be:
4x + x = 25
5x = 25
Divide by 5
x = 25/5
x = 5
Therefore, the ounces of onions is 5 ounces.
Learn more about equations on:
brainly.com/question/13763238
#SPJ1
Answer:
Step-by-step explanation:
The ounces of onions is 5 ounces.
The recipe uses 4 times more carrots than onions. The carrots will be 4 × x = 4x.
Therefore, the equation will be:
4x + x = 25
5x = 25
Divide by 5
x = 25/5
x = 5
Therefore, the ounces of onions are 5 ounces.
What is an equation of the line, in point-slope form, that passes through the point (9, -9) and has a slope of 4?
Please explain how to do this : )
[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{9}) \implies y +9= 4 (x -9)[/tex]
Answer:
m = 4
Step-by-step explanation:
slope = 4
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) 5x2 10x 4
After changing the form the equation becomes 5x (x + 2) = 4.
What is an equation?An is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.We cannot solve the equation as the value of x is not given but we can change its form.
Given equation is 5x² + 10x - 4.
Then,
5x² + 10x - 4 = 05x² + 10x = 45x (x + 2) = 4 (Take 5x as common)Therefore, after changing the form the equation becomes 5x (x + 2) = 4.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ4
The correct question is given below:
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.)
5x² + 10x - 4
In a certain school, there were 180 students in year 7. 110 study french, 88 study german, 65 study indonesian, 40 study both french and german while 38 study german and german only. find the number of students who study all the three languages. also, find the number of students who study indonesian only
The number of students who study Indonesian only = 10
Total pupils= 110
Study French = 88
Study Indonesian = 65
Study French and German = 40
Study German and Indonesian = 38
Study French and Indonesian = 26
Study German only = 19
Students who study German only = G - F∩G - G∩I + F∩G∩I
19= 88-40-38 + F∩G∩I
F∩G∩I = 9
Students who study all three languages = 9
So the students who study only Indonesian = I - F∩I - G∩I + F∩G∩I
= 65- 38-26+ 9
= 10
Therefore the number of students studying Indonesian only = 10.
To know more about the Venn Diagram refer to the link given below:
https://brainly.com/question/24713052
#SPJ4
The complete question is:
In a certain school, there are 180 pupils in Year 7. One hundred and
ten pupils study French, 88 study German and 65 study Indonesian.
Forty pupils study both French and German, 38 study German and
Indonesian, and 26 study both French and Indonesian, while 19 study
German only. Find the number of pupils who study Indonesian only.
Simplify: A , B , C , D?
Answer:
7 5/6
Step-by-step explanation:
Reverse the operation
[tex]-2\frac{1}{3} - -10\frac{1}{6} = 2\frac{1}{3} + 10\frac{1}{6}\\= 2-\frac{1}{3} + 10+\frac{1}{6}\\-2 + 10 = 8(2 - 10)\\-\frac{1}{3} +\frac{1}{6}\\-\frac{2}{6}(x2) +\frac{1}{6}\\= -\frac{1}{6}\\8-\frac{1}{6}\\= 7\frac{5}{6}[/tex]
