Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 430 minutes and the cost was $150.00. In July she used 880 minutes and the cost was $285.00.
Answers
A)
In order to find the function for the cost C, we can use the slope-intercept form of a linear equation:
\(C=mx+b\)Where m is the slope and b is the y-intercept.
To calculate the value of m, we can use the formula below for the slope between two points (x1, y1) and (x2, y2):
\(m=\frac{y_2-y_1}{x_2-x_1}\)Since x is the number of minutes and C is the cost function, we can use the ordered pairs (x, C). So, using the points (430, 150) and (880, 285), we have:
\(m=\frac{285-150}{880-430}=\frac{135}{450}=0.3\)Now, to calculate the value of b, let's use the point (430, 150) in the equation (that is, x = 430 and C = 150):
\(\begin{gathered} C=0.3x+b \\ (430,150)\colon \\ 150=0.3\cdot430+b \\ 150=129+b \\ b=150-129 \\ b=21 \end{gathered}\)Therefore the cost function is:
\(C=0.3x+21\)B)
Now, to find the cost for 295 minutes, let's use x = 295 and calculate the value of C:
\(\begin{gathered} C=0.3\cdot295+21 \\ C=88.5+21 \\ C=109.5 \end{gathered}\)Therefore the cost for 295 minutes is $109.50.
Related Questions
If a student answers 42 out of 48
questions correctly on a quiz, what
percentage of questions did she
answer correctly?
Answers
Answer:
She answered 87.5% correctly.
Step-by-step explanation:
100÷48=2.083
2.083×42=87.5
The percentage of student answered correctly is 87.5%.
What is percentage?A percentage, a relative value indicating hundredth parts of any quantity.
How to find the prcentage of a number of quantity?The following formula is a common strategy to calculate a percentage:
Determine the total amount of what you want to find a percentage.Divide the number to determine the percentage.Multiply the value by 100.According to the given question.
Total number of questions = 48
Total number of questions which are answered correclty by a student = 42
Therefore, the percentage of question the students answered correctly is given by
\(Percentage = \frac{total \ correctly \ answered\ questions}{Toal\ number \ of\ questions\ } \times 100\)
\(\implies percentage = \frac{42}{48} \times 100\)
\(\implies percentage = 0.875\times 100\)
\(\implies percentage = 87.5\%\)
Hence, the percentage of student answered correctly is 87.5%.
Find out more information about percentage here:
https://brainly.com/question/26497520
#SPJ2
18kg in the ratio 2:7
Answers
Answer:
Step-by-step explanation:
Let the ratios be 2x and 7x respectively.
Now,
2x + 7x = 18
= 9x = 18
= x = 18/9
= x = 2
Hence, 2x = 2*2 = 4
And, 7x = 7*2 = 14
Tess has 42 words of an essay typed and is typing about 1.3 words per second. Margo 122 words of an essay typed and is erasing about 1.2 words per second. In how many seconds will the number of words in Tess’s essay exceed the number of words in Margos essay?
Answers
Answer:
32 seconds
Step-by-step explanation:
For some number of seconds (s), Tess's essay length (t) will be ...
t = 42 +1.3s
and Margo's essay length (m) will be ...
m = 122 -1.2s
We will have t > m when ...
t > m
42 +1.3s > 122 -1.2s
2.5s > 80 . . . . . . . . add 1.2s-42
s > 32 . . . . . . . . . . . divide by 2.5
After 32 seconds, Tess's essay will exceed Margo's in length.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qBCO5ypO9m13MpdV66LMvZB6FUp8SIQM.png)
Answers
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
For more such questions on explicit
https://brainly.com/question/30394385
#SPJ8
Consider the line 5x+2y=−4. What is the equation of the line parallel to the given line that passes through the point (−2, 6) in slope-intercept form? Enter your answer by filling in the boxes to complete the equation.
Answers
Answer:
y = -5/2x +1
Step-by-step explanation:
You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.
Parallel lineThe equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:
5(-2) +2(6) = c
-10 +12 = c
2 = c
Now we know the equation of the parallel line can be written as ...
5x +2y = 2
Slope-intercept formSolving for y puts this in slope-intercept form:
2y = -5x +2 . . . . . . . . subtract 5x
y = -5/2x +1 . . . . . . . . divide by 2
We don't know what your boxes look like, but we can separate the numbers to make it look like this:
\(\boxed{y=\dfrac{-5}{2}x+1}\)
#95141404393
Find the value of t in rhombus WXYZ.
х
40
W
Y
t+930
N
Answers
9514 1404 303
Answer:
t = 31°
Step-by-step explanation:
Opposite angles of a rhombus have the same measure:
4t = t +93°
3t = 93° . . . . . subtract t
t = 31° . . . . . . .divide by 3
Answer:
t= 31°Step-by-step explanation:
hope it helps much too
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
5 is subtracted from the product of 3 and a number.
Answers
Answer:
3x -5
Step-by-step explanation:
You want the algebraic expression for "5 is subtracted from the product of 3 and a number".
Product"The product of 3 and a number" is represented by 3x.
SubtractionSubtraction is indicated by a minus sign. When 5 is subtracted from the product, the expression is written ...
3x -5
A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.
Customer Spending by Promotion Run
Customers Spending More than $30. Customers Spending $30 or Less.
$10 off $50
15% off
$5 off $25
Buy-1-Get-1 Half Off
Which statement best describes how the manager can check if there is an association between the two variables?
A. The manager must check relative frequencies by row because there are more than two different promotions.
B.The manager must check relative frequencies by column because there are more than two different promotions.
C. The manager cannot use relative frequencies to look for an association because there are more than two different promotions.
D. The manager should check both relative frequencies by row and by column to look for an association.
Answers
Answer:
the answer is d
Step-by-step explanation:
I took the test on edge
Answer:
D
Step-by-step explanation:
have a good day /night :)
What is 2/3 divided by 5
Answers
Answer: Hey here’s your answer: 2/3 divided by 5=2/15
Hth
Step-by-step explanation:
Answer:
2/15 is ur answer
Step-by-step explanation:
2/3 ÷ 5
2/3 x 1/5
2/15
Desmond bought 7 1/2 pints of ice cream for his party. He is going to serve each guest 3/4 pint
Answers
Answer:
10 guests
Step-by-step explanation:
Step one:
Desmond bought 7 1/2 pints of ice cream
each guest gets a 3/4 pint
Required
The number of guests that Desmond can serve
Step two:
let us convert 7 1/2 to a simple fraction
= 15/2
The number of guests to be served is
=15/2/3/4
multiply the numerator by the inverse of the denominator
=15/2*4/3
=60/6
=10 guests
Given a coin and a number cube which list gives the possible results?
Answers
Answer:
Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes. Rolling a six-sided die and flipping a coin: The sample space is 6 • 2 or 12 equally likely outcomes.
...
First coin Second coin outcome
H T HT
T H TH
T T TT
Step-by-step explanation:
sorry if its wrong mate
Apply the distributive property to factor out the greatest common factor.
24+32p= _____
Answers
Answer:
8(3+4p)
Step-by-step explanation:
8 goes into 24 and 32, so it can be factored out:
\(24+32p=8(3+4p)\)
Answer:
8(3 + 4p)
Step-by-step explanation:
Factor 24 + 32p
First, factor out the GCF. In this case, the GCF is 8, and we have
8(3 + 4p)
We can't factor anymore so the answer is 8(3 + 4p)
An order is received for 180 mL of a 2.5% solution to be prepared from diluting a 15% solution with water. How much of the stock 15% solution is needed?
a.
20 mL
b.
25 mL
c.
30 mL
d.
35 mL
Answers
We need 30 ml of the 15 percent solution to complete the order.
Here, we are given that we need to prepare 180 mL of a 2.5% solution by diluting a 15% solution with water.
the 180 ml 2.5% solution will contain-
2.5% pf 180 ml acid
= 2.5/100 × 180
= 25/1000 × 180
= 1/40 × 180
= 18/4
= 9/2
= 4.5 ml
Water in the 180 ml solution will be = 180 - 4.5 = 175.5
Now, we have say x ml of 15% solution
It must contain 4.5 ml of acid
Thus-
15% of x = 4.5
15/100 × x = 4.5
x = 4.5 × 100/15
x = 450/15
x = 30
Thus, we need 30 ml of the 15 percent solution, hence, option C.
Learn more about percentages here-
https://brainly.com/question/24304697
#SPJ1
Please I need help for this
Answers
2^5/6^5 = what?
To start, what is 2^5? 2 x 2 x 2 x 2 x 2.
What is 6^5? 6 x 6 x 6 x 6 x 6.
So, 2 x 2 x 2 x 2 x 2/6 x 6 x 6 x 6 x 6.
Then, simplify it down. What factors can you get out of it?
Example problem:
2^3/4^2
2 x 2 x 2/4 x 4
= 8/16
= 1/2
Hope that helps!
-Molly ;)
Anyone have any clue? would love help even for one of the questions!
Answers
Answer:
OC = 10.07 CM
BC = 9.73 cm
area triangle OAB = 97.98 cm^2
area of sector OADB = 150.05 cm^2
% of diagram that is shaded = 65%
Step-by-step explanation:
cos 44 = OC/14
0.71934(14) = OC = 10.07
sin 44 = BC/14
0.6947(14) = BC = 9.73
area of sector OADB = (88/380)(Pi)14^2) =150.05
area triangle OAB = (OC)(BC)(0.5)(2) = 97.98
% of diagram shaded = 97.98/150.05 = 0.65 = 65%
Write the standard equation for the circle whose center is at (6,2) and whose radius is 2.
Answers
Answer:
\((x - 6)^2 + (y - 2)^2 = 2^2\).
Step-by-step explanation:
In general, let \((a,\, b)\) denote the center of a given circle. Let \(r\) denote the radius of that circle. The standard equation for that circle would be:
\((x - a)^2 + (y - b)^2 = r^2\).
The circle in this question is centered at \((6,\, 2)\).
\(6\) is the \(x\)-coordinate of the center of this circle. \(a = 6\).\(2\) is the \(y\)-coordinate of the center of this circle. \(b = 2\).The radius of this circle is \(2\). Therefore, \(r = 2\).
Hence, the standard equation for this circle would be:
\((x - 6)^2 + (y - 2)^2 = 2^2\).
What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Answers
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Equivalent Algebraic expressions:Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expressionns.
Given the algebraic expressions,
\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)
Substituting 2 for x in the first expression gives:
(1/2 × 2) + 4
1 + 4
5
Substituting 2 for x in the second expression gives:
2 + 6 - (1/2 ×2) - 2
8 - 1 - 2
8 - 3
5
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Learn more about algebraic expressions from:https://brainly.com/question/395066
#SPJ1
What does it mean if an x (input) or y (output) value doesn't make sense? What does it look like on a graph? What happens in the equation?
Answers
Answer:
It is not a function.
Step-by-step explanation:
If the x input or the y output in the given equation have no meaning or does not have any sense, then it will not form a function. We need to see if there are two of the x - intercept which are same. Then the graph will be a straight vertical line. Also the slope of the function cannot be determined.
Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she owed plus a tip for the waiter. Which equation shows t, the amount of her tip, in dollars? a.6.89 + t = 8.00 b.6.89 - t = 8.00 c.6.89t = 8.00 d.6.89 = 8.00 ÷ t
Answers
Answer:
1.11 will be the answer
Step-by-step explanation:
Dina is making a logo and she decides to use a regular polygon. Each interior angle of the polygon measures 140°. what is the number of sides of this polygon?
Answers
Answer:
Number of sides = 360/ (180 -140)
Number of sides = 360/ 40
Number of sides = 9
Step-by-step explanation:
PLEEEEEASE HEEEEEELPPPP
Answers
Answer:
x≤20
Step-by-step explanation:
x+5≤25
-5. -5
x≤20
Hopes this helps please mark brainliest
Answer:
The answer is B
Step-by-step explanation:
20+5=25 and x can be greater than or equal to 25
in a sandwich bar 140 ham 70 eggs and 35 chicken sandwiches are sold find the ratio of ham to egg to chicken sandwiches are sold
Answers
Answer:
4:5:1
Step-by-step explanation:
so first of all the ratio will be 140:70:35 but after we simplify it with 35 we'll get the final simplified ratio which is 4:5:1
Sophia goes to an icecream shop to get a medium ice cream that costs $4.50, Sophia only has $6.40 and toppings are $0.75 each. Write an inequality to find how many toppings Sophia can get .
Answers
Answer:
x ≤ 2
Step-by-step explanation:
4.5 = medium ice cream
0.75x = toppings, x = amount of toppings
Sophia has $6.4, so 4.5+0.75x has to be less or equal to that.
4.5 + 0.75x ≤ 6.4, solve
0.75x ≤ 1.9
x ≤ 2 8/15
BUT you cannot get half a topping or a fraction of a topping,
so, x ≤ 2 toppings.
Sophia can get 2 or less toppings.
I had $13.00. My Mom gave $10.00. My Dad gave $30.00. My Aunt, My Uncle and grandma gave me $100.00. I had another $7.00. How much did I have?
Answers
The amount of money one has is $160
Amount of money one already has = $13 +$7 = $20.........(1)
Money given by Mom = $10 ...........(2)
Money given by Dad = $30.............(3)
Money given by Uncle , Aunt and grandma = $100...........(4)
Total amount of money one has can be found out by adding equation (1) , (2) (3) and (4) hence we can write
Total amount of money one has = Amount of money one already has + Money given by Mom+ Money given by Dad + Money given by Uncle , Aunt and grandma
\(\rm Total \; amount\; of \; money \; one\; has = 20 + 10 +30 +100 = 160\)
The amount of money one has is $160
For more information please refer to the link given below
https://brainly.com/question/24768790
Rewrite h(x)=x^2-2x-4/x-4in an equivalent form showing the remainder As a fraction
Answers
The equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
The given function is:
h(x) = (x^2 - 2x - 4) / (x - 4)
To rewrite this function in an equivalent form showing the remainder as a fraction, we can use polynomial division.
Let's divide x^2 - 2x - 4 by x - 4:
x - 6
--------------------
x - 4 | x^2 - 2x - 4
- (x^2 - 4x)
-------------
2x - 4
- (2x - 8)
---------
4
Therefore, we can write:
h(x) = (x^2 - 2x - 4) / (x - 4) = (x - 6) + 4 / (x - 4)
Therefore, the equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)
To learn more about Algebraic expression from given link.
https://brainly.com/question/28884894
#SPJ1
A tree harvester estimates the trunk of a tree to have a height of about 36 meters and a base diameter of about 0.5 meter. The wood of the tree has a density of about 610 kilograms per cubic meter. Find the mass of the trunk. Round your answer to the nearest hundred. in kilograms
Answers
Answer:
The mass of wood is 4309.65 kg.
Step-by-step explanation:
Volume of a cylinder is:
\(V = \pi r^{2} h\)
Where \(r\) is the radius of base of cylinder
and \(h\) is the height of the cylinder
\(r=\dfrac{d}{2}\)
\(d\) is the diameter of base of cylinder.
A tree's trunk is in the shape of cylinder only. And we are given the following details:
\(d = 0.5m\\\Rightarrow r = \dfrac{0.5}{2} m\)
\(h =36 m\)
\(V = \pi (\dfrac{0.5}{2})^2 \times 36\\\Rightarrow V = 7.065\ m^3\)
Density of wood of tree = 610 kg per cubic meter
Mass of trunk = Volume \(\times\) density
\(\Rightarrow 610 \times 7.065\\\Rightarrow 4309.65\ kg\)
Hence, mass of trunk is 4309.65 kg.
PLZ HURRY!!!
What is the equation of the line in slope-intercept form?
Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.
Enter your answer in the boxes.
y =
x +
Answers
Answer:
y = \(-\frac{3}{5}\) x + 3
Step-by-step explanation:
To find slope you need to take y2-y1 divided by x2-x1. First to the subtraction. Y2 is 3 in this problem and y1 is 0. X2 is 0 and x1 is 5. 3-0 = 3 and 0-5 = -5. Now we have the equation \(-\frac{3}{5}\) as the slope.
Slope-intercept form is y= mx+b so plug in \(-\frac{3}{5}\) to get y = \(-\frac{3}{5}\) x + b
The y-intercept is the coordinate where the x is equal to zero. (0,3) is the coordinate that meets this requirement. The y coordinate is 3 so that is the y-intercept. Plug that in to y = \(-\frac{3}{5}\) x + b to get = \(-\frac{3}{5}\) x + 3.
The other person was parcially correct, but here is the right answer:
Can someone help me with this? Use f and g to preform the following operations and match them to correct answer
Answers
The operations between two functions:
Case 1: f(x) + g(x) = 2 - x - x²
Case 2: g(x) - f(x) = x² - x
Case 3: g(x) · f(x) = (1 - x) · (1 - x²) = 1 - x - x² + x³
Case 4: f(x) - g(x) = x - x²
How to perform operations between functions
In this problem we need to perform operations between two functions, one operator for each case. There are three operations used in this problem:
Addition
(f + g) (x) = f(x) + g(x)
Subtraction
(f - g) (x) = f(x) - g(x)
Multiplication
(f · g) (x) = f(x) · g(x)
If we know that f(x) = 1 - x² and g(x) = 1 - x, then the operations between functions are:
Case 1
f(x) + g(x) = 2 - x - x²
Case 2
g(x) - f(x) = x² - x
Case 3
g(x) · f(x) = (1 - x) · (1 - x²) = 1 - x - x² + x³
Case 4
f(x) - g(x) = x - x²
To learn more on operations between functions: https://brainly.com/question/31207478
#SPJ1
A plane has 270 gallons of fuel. The plane averages 1 7/9 miles per gallon. How far can the plane go?
Answers
(Multiply 1 7/9 mi times 270 gal)
Fort-eight students signed up to volunteer for a race. There were 3 equal groups of students and each group had a different task. How many students were in each group?
Answers
Answer:
16
Step-by-step explanation:
48 ÷ 3 = 16
hope this helps...