The phone company Blurizon has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certain amount per GB of data used. If a customer uses 12 GB, the monthly cost will be $72. If the customer uses 38 GB, the monthly cost will be $150. A) Find an equation in the form y
Answers
The equation in the form y is mx + b is: z = xy + x = 3x + 36
Given:The phone company Blurizon has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certain amount per GB of data used.Cost of 12 GB is $72.Cost of 38 GB is $150.Let,The flat fee for unlimited voice calls = $ xThe cost per GB of data used = $ yMonthly Cost = $ z (dependent variable)
Hence, the equation in the form y = mx + b is z = xy + x which is the equation of a line in slope-intercept form, where m is the slope and b is the y-intercept. Here, the slope is the cost per GB of data used (y) and the y-intercept is the flat fee for unlimited voice calls (x).
So, using the given data:When the customer uses 12 GB, the monthly cost will be $72, hence72 = 12y + x 1.....(i)When the customer uses 38 GB, the monthly cost will be $150, hence150 = 38y + x 2....(ii)To get the value of y, we can eliminate the variable x using either of the above two equations:
Subtract equation (i) from equation (ii), we get,78 = 26y => y = 3So, x can be found by substituting the value of y in equation (i):72 = 12(3) + x=> x = 36Thus, the equation in the form y = mx + b is:z = xy + x = 3x + 36
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Related Questions
Figure A is a scale image of figure B.
Figure A
10.5
Figure B
2
Figure A maps to figure B with a scale factor of
3
What is the value of x?
PLSSS HURRYYYYY
Answers
10.5*(2/3)=7
I’m not sure myself but following the logic it should be this, hope it helps :)
A trailer will be used to transport several 40-pound crates to a store. The greatest amount of weight that can be loaded into the trailer is 1,050 pounds. An 82-pound crate has already been loaded onto the trailer. What is the greatest number of 40-pound crates that can be loaded onto the trailer?
Answers
Given :
A trailer will be used to transport several 40-pound crates to a store.
The greatest amount of weight that can be loaded into the trailer is 1,050 pounds.
An 82-pound crate has already been loaded onto the trailer.
To Find :
The greatest number of 40-pound crates that can be loaded onto the trailer.
Solution :
Weight left = 1050 - 80 = 970 pound.
Let, number of 40 pounds crates that can be loaded are x.
\(x = \dfrac{970}{40}\\\\x = 24.25\)
Since, crate cannot be in fraction, so maximum crate that can be loaded is 24.
Hence, this is the required solution.
plz help, need this by end of tdy
Answers
Answer:a 120 and b:60
Step-by-step explanation: mark brainlilest
Find the area of the figure. Sides meet at right angles. No links please :)
Answers
Answer:
I hoped this helped.
Step-by-step explanation:
1. fined base shaped like rectangles and squares
2. find the area of those shaped using length times width
3. the the areas to find the area of the composite figure
annie is playing basketball. after attempting a certain number of free throws, she computes that she has made $\dfrac{3}{5}$ of her free throws. then, annie attempts but fails to make $15$ consecutive free throws, after which she computes that she has made only $\dfrac{2}{5}$ of all of the free throws she attempted that day. how many total free throws has annie attempted, including the $15$ she just attempted?
Answers
The total number of throws will be equal to 16.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The total number of throws will be calculated by adding all the throws,
Total throws = ( 3 / 5 ) + 15 + ( 2 / 5)
Total throws = ( 3 + 75 + 2) / 5
Total throws = 80 / 5
Total throws = 16
Therefore, the total number of throws will be equal to 16.
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sea ice is frozen ocean water, which frezzes at a temperture of about -1.8 degress celsius. what i the temperture in fahrenheit use the formula F=(c) (9/5)+32
Answers
Answer:
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Step-by-step explanation:
find the greatest common factor gcf for each number set. 96, 120
Answers
Answer: 24
Step-by-step explanation:
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 , 120
Highest number between the two sets of factors which is common is 24
B. Given the LP Model: Minimize Z = 3x + 12y Subject to: 5x + y ≤ 32 x + 3y ≥ 12 x, y 20 Use the graphical LP approach. (write the complete solution)
Answers
To solve the given linear programming (LP) problem using the graphical LP approach, we will plot the feasible region, identify the corner points, and determine the optimal solution.
Here are the steps:
Step 1: Plot the constraints:
- Plot the line 5x + y = 32, which represents the constraint 5x + y ≤ 32. To do this, find two points that lie on this line by assigning values to x and solving for y. For example, when x = 0, y = 32, and when x = 6, y = 2. Connect these points to draw the line.
- Plot the line x + 3y = 12, representing the constraint x + 3y ≥ 12. Again, find two points on this line and connect them. For instance, when x = 0, y = 4, and when x = 12, y = 0.
- Draw the lines representing x = 20 and y = 20 as vertical and horizontal lines passing through x = 20 and y = 20, respectively.
Step 2: Identify the feasible region:
- Shade the area that satisfies all the constraints. The feasible region is the intersection of the shaded regions.
Step 3: Identify the corner points:
- Find the coordinates of the corner points of the feasible region. These points are the intersections of the lines representing the constraints.
Step 4: Evaluate the objective function:
- Calculate the objective function Z = 3x + 12y for each corner point.
Step 5: Determine the optimal solution:
- Identify the corner point that gives the minimum value of the objective function Z. This point corresponds to the optimal solution of the LP problem.
Once you have completed these steps, you will have the complete solution to the LP problem using the graphical LP approach.
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what is $20.00 take away $4.60
Answers
Case: Kolon FnC's Global Expansion Strategy. Summary Korean fashion firms face difficulties in sustaining their growth momentum because of market stagnation and the aggressive entry of global luxury and SPA brands. To find a breakthrough, local fashion firms are adopting diverse strategies, including direct entry, licensing, and acquisitions, to successfully tap into the global market. Kolon FnC, which is among the five affiliates of Kolon Industries, focuses its business on the production and sales of fashion goods and clothing lines. Focusing on its strength as a leading brand power in the sports and outdoor segment, Kolon FnC is making strategic moves, such as diversifying its fashion portfolio, creating new value by collaborating with artists, and enhancing its R&D capability for new garment materials, which is led by one of its sister affiliates, Kolon Fashion Material. Under the leadership of the newly appointed CEO Dong-Mun Park, Kolon FnC is aggressively seeking talented young designers in Korea to differentiate itself from its global competitors. CEO Park strongly believes that talented young Korean designers can be a viable source of competitive advantage against global competitors. Since 2010, Kolon FnC has acquired several small-sized designer shops and fashion accessory shops to diversify its fashion portfolio and to create a young and vibrant brand image. This approach marks a departure from the strategic paths of its major local competitors, as Korean fashion firms typically focus on licensing or acquiring foreign brands. This case aims to identify the practical implications of global expansion strategies by analyzing how the Korean fashion industry has evolved and how Kolon FnC and its competitors have deployed different global expansion strategies in developing their resources and/or capabilities for future growth. Questions: 1. Discuss the strategic implications of the evolution of the Korean fashion industry and its impact on Korean fashion firms' global expansion strategies. 2. Compare and evaluate the global strategies of the four competitors of Kolon identified in this case. 3. Using the comparative analyses from Question 2, discuss and recommend future strategic directions for Kolon FnC. The actual case is uploaded unde 357 words ad the whole case, thank you!
Answers
The evolution of the Korean fashion industry has had strategic implications for Korean fashion firms' global expansion strategies. As the market has become stagnant and global luxury and SPA brands have aggressively entered the market, local fashion firms have faced challenges in sustaining their growth momentum.
To overcome these challenges, Korean fashion firms have adopted diverse strategies, including direct entry, licensing, and acquisitions, to successfully tap into the global market. Kolon FnC, one of the five affiliates of Kolon Industries, has focused on its strength in the sports and outdoor segment to differentiate itself from its global competitors.
Kolon FnC has implemented several strategic moves to enhance its global expansion. Firstly, it has diversified its fashion portfolio by acquiring small-sized designer shops and fashion accessory shops since 2010. This allows the company to offer a wider range of products and create a young and vibrant brand image.
Additionally, Kolon FnC has collaborated with artists to create new value and attract consumers. By leveraging its R&D capability for new garment materials, led by its sister affiliate Kolon Fashion Material, the company can stay innovative and meet the demands of the global market.
In comparison to its major local competitors, Kolon FnC's global expansion strategy stands out. While Korean fashion firms typically focus on licensing or acquiring foreign brands, Kolon FnC has taken a different approach by acquiring small-sized designer shops and fashion accessory shops. This unique strategy allows them to have more control over their brand image and product offerings.
Based on the comparative analyses of Kolon FnC and its competitors, future strategic directions for Kolon FnC can be recommended. Firstly, the company should continue to focus on attracting talented young designers in Korea to differentiate itself from global competitors. This can be a viable source of competitive advantage in the global fashion industry.
Additionally, Kolon FnC should further enhance its R&D capability to develop new garment materials. This will enable the company to stay ahead in terms of innovation and meet the changing demands of consumers.
Overall, the strategic implications of the evolution of the Korean fashion industry have prompted Korean fashion firms, including Kolon FnC, to adopt diverse global expansion strategies. By focusing on their strengths, diversifying their fashion portfolio, collaborating with artists, and enhancing their R&D capability, these firms can position themselves competitively in the global market.
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What is the slope of the line?
A.) 1
B.) 1/2
C.) -2
D.) 2
Answers
Answer:
D
Step-by-step explanation:
Genetically modified foods: According to a 2016 Pew Research survey, a majority of the American general public (56%) says that genetically modified 10 points
(GM) foods are generally unsafe to eat. This month, in a survey of 500 randomly selected American adults, 61% says that GM foods are generally unsafe to eat. We test the hypothesis that the percentage who says that GM foods are generally unsafe to eat is greater than 56% this year. The p-value is 0.085.
Which of the following interpretations of this p-value is valid?
A. There is an 8.5% chance that 56% of Americans says that GM foods are generally unsafe to eat.
B. Assuming that more than 56% of Americans feel that GM foods are unsafe, the probability that 61% of 500 randomly selected Americans say that GM foods are generally unsafe to eat is 0.085.
C. If we assume that 56% of Americans says that GM foods are generally unsafe to eat, then there is an 8.5% chance that random sample results will show 61% or more who says that GM foods are generally unsafe to eat.
Answers
C. If we assume that 56% of Americans says that GM foods are generally unsafe to eat, then there is an 8.5% chance that random sample results will show 61% or more who says that GM foods are generally unsafe to eat.
This interpretation correctly states that the p-value represents the probability of obtaining a sample result as extreme or more extreme than the observed result (61%) if the null hypothesis (that the percentage is equal to 56%) is true. It does not mean that there is an 8.5% chance that the true percentage is 56%.
C. If we assume that 56% of Americans says that GM foods are generally unsafe to eat, then there is an 8.5% chance that random sample results will show 61% or more who says that GM foods are generally unsafe to eat.
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If m∡LNK = (5x – 27)° and m∡KNM = (10x – 3)°, find m ∡JNM.
Answers
Answer: 43
Step-by-step explanation: 5x-27+10x-3= 180
combine like terms: 15x-30= 180
add 30 to both sides
15x=210 x=14
plug in 14 to (5x-27)
The m ∡JNM is 43.
Given that,
m∡LNK = (5x – 27)° and m∡KNM = (10x – 3)°.
Based on the above information, the calculation is as follows:
5x - 27 + 10x - 3= 180
15x-30= 180
15x=210
x=14
Now
Put x value to the equation 5x - 14
So,
= 5(14) - 14
= 43
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what is the value of 8+2 to the third power times 5
Answers
Answer:
48
Step-by-step explanation:
use pemdas. first you do the exponents so you now have 8+8x5
then multiplication so now you get 8+40
then add to get your answer: 48
hope this helps :))
What is the simplest form expression
Answers
Answer:
An expression in simplest form is when its easiest to use.
7a = 28 Is a=21 a solution?
yes or no
Answers
Answer: not a solution
Step-by-step explanation: 7a = 7 * 21 which does not equal 28, it equals 147, 7 * 4= 28, so actually a=4
Hope this helps :)
- (-5v - 4y + 6) use distributive property to remove the parenthesis
Answers
Answer:
(5v+4y+6)
Step-by-step explanation:
You have to distribute/multiply the negative sign (-) to all the values inside.
-(-5v-4y+6)=
-(-5v)=5v (-×- = +)
-(-4y)= 4y (-×- = +)
-(6)= -6 (-×+ = -)
The answer is:
(5v+4y+6)
a farmer plants potatoes on 1/36 of his land. He plants peas on 5/36 of his land. What fraction of the farm's land do potatoes and peas cover?
Answers
Answer:
6/36
Step-by-step explanation:
1/36 + 5/36 = 6/36 OR 1/6
Answer:
1/5 of the farmers land has potatoes and pea plants growing on it
Step-by-step explanation:
so we are trying to figure out how much of the land is covered in potatoes and pea plants together so we add their fractions together
1/36 + 5/36 = 6/36
we then simplify the fraction by dividing both numbers by 6 since 6 can go equally within the fraction:
6/36 divided by 6 = 1/5
so 1/5 of his land is covered by potatoes and pea plants
7. A student answered 86 problems on a test correctly and
received a grade 98%. How many problems were on the test,
if all the problems were worth the same number of points?
(Round to the nearest whole number)
Answers
Answer:
To solve this problem, you need to use the fact that the student received a grade of 98% on the test. This means that the student received 98% of the total points available on the test.
Let's say that the total number of points on the test is "x." This means that the student received 0.98*x points on the test.
We also know that the student answered 86 problems correctly. If each problem is worth the same number of points, and the student answered 86 problems correctly, then the student received 86 points.
We can set up the equation 0.98*x = 86 to represent this information. Solving for x gives us:
x = 86 / 0.98
= 87.7561
Rounding to the nearest whole number, we find that the total number of problems on the test was 88.
Step-by-step explanation:
Answer: 88 questions.
Step-by-step explanation:
We will set up a proportion to help us solve. Keep in mind that a percent divided by 100 is a decimal.
Let us create a proportion, with percentages on top (numerator) and number of problems on bottom (denomintor):
\(\displaystyle \frac{98}{86} =\frac{100}{x}\)
Cross-multiply and divide both sides by 98:
98x = 8,600
x = 87.755
Round to the nearest whole number:
x ≈ 88
You have been commissioned to perform a study of the relationship between class size and academic performance in elementary school, and you have a chance to take a survey in either one of two comparable cities. The hypothesis is that kids in smaller classes do better. In the first city, you will have permission to gather a random sample of 100 pupils from a wide variety of class sizes, ranging from only 7 all the way up to 45. In the second city you would be able to gather a much larger sample, but the range in class size from which you would be able to gather observations would be much narrower. Are there tradeoffs involved in deciding which city to use? Or is the decision straightforward? Explain
Answers
The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.
The decision of which city to choose for the study involves tradeoffs. The first city allows for a wide range of class sizes, providing a comprehensive analysis of the relationship between class size and academic performance. However, the smaller sample size limits generalizability.
The second city offers a larger sample size, increasing generalizability, but with a narrower range of class sizes. Researchers should consider their specific research objectives, available resources, and constraints. If the goal is to assess the impact of extreme variations in class size, the first city is suitable. If obtaining highly generalizable results is paramount, the second city, despite the narrower range, should be chosen.
Therefore, The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.
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AB is a straight line. work out the value of x
Answers
Step-by-step explanation:
Straight line = 180 degrees
all three of the angles sum to 180 degrees
42 + x + 29 = 180
x = 180 - 42 - 29 = 109 degrees
If two of the ordered pairs was removed which two data points will cause the correlation to decrease the most? Select Two points
1) Data point A
2) Data point B
3) Data point C
4) Data point D
Answers
Answer:
1. Data point A
4. Data point D
Step-by-step explanation:
In a scatter plot, the closer the clustered data points are close to the best line of fit, the greater the correlation that would exist between the two variables.
If we are to draw a best line of fit in the scatter plot that is shown above, the closest data points amongst data points A, B, C, D, and E, that would be close to the best line of fit are data points A and D.
Therefore, removing data point A and point D would cause the correlation to decrease the most.
A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16
Answers
For the 1st equation,
2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.Answer:
A. 2x + y = 20
Hope you could get an idea from here.
Doubt clarification - use comment section.
PLS HELP ILL GIVE BRAINLIEST!!!
Answers
Answer:
the answer is negative 135
Can somebody help me? Make it right.
Answers
Answer: 1/q^98
Step-by-step explanation: multiply the bottom party of this fraction which is q^-98. Since you can't technically have a negative exponent you right the recepricaal which makes it into a fraction. Therefore, the answer is 1 over q^98
Answer:
1/q98
Step-by-step explanation:
pls I hope this helps, if right could you mark me brainliest I am only 3 away from leveling up!!!
Can someone pls show how to do this is with explanation
Answers
Answer:
\(5 - \frac{3}{4} x = 8\)Step-by-step explanation:
Let,
The number be = x
Given,
Three - fourth of the number =
\( \frac{3}{4} x\)
Then subtracted from 5 =
\(5 - \frac{3}{4} x \)
Result would be = 8
Hence,
Required equation
\( 5 - \frac{3}{4} x = 8\)
Add 5 from both sides
3/4x = 13
Multiply by 4/3 to cancel out (3/4)
x= 13* 4/3
x= 17.3
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Tony has a hosepipe. The length of the hosepipe is 20 m. Tony stores the hosepipe on a reel. The weight of the reel is 1.4 kg. 1 ⁄ 2 metre of the hosepipe has a weight of 150 grams. Work out the total weight of the hosepipe and the reel.
Answers
Answer:
the total weight of the hosepipe and the reel is 7.4 kg
Step-by-step explanation:
First, we need to find the weight of the hosepipe, we know that 1/2 metre of the hosepipe has a weight of 150 grams, therefore we can conclude that 1 meter has a weight of (150)(2) = 300 grams.
If one meter weighs 300 grams, then 20 meters have a weight of \(20(300) = 6000\) grams. But since 1000 grams are 1 kg, this would be equivalent to 6 kg.
Now, to find the total weight of the hosepipe and the reel we are going to sum up the 2 weights:
Total weight = hose pipe weight + reel weight
Total weight = 6 kg + 1.4 kg
Total weight = 7.4 kg.
Therefore, the total weight of the hosepipe and the reel is 7.4 kg
Find the value of 8 to the 3rd power divided by 8 squared multiplied by 4 squared.
Answers
Answer:
0.5
Step-by-step explanation:
8^3 = 512
(8^2)*(4^2) = 1024
512/1024 = 0.5
What is the slope of a line parallel to the line whose equation is 2x-y=-7. Fully simplify your answer.
Answers
Answer:
Answer is 2
Step-by-step explanation:
Given the line
2x - y = -7
y = 2x + 7 -----(1)
Comparing (1) with the equation of a line y = mx+c
m = 2
Slope of parallel lines are equal.
Therefore,
the slope of the line parallel to 2x -y= -7 is 2
Complete the square to re-write the quadratic function in vertex form.
y=x²+7x+3
Answers
Answer:
To complete the square and rewrite the quadratic function y = x² + 7x + 3 in vertex form, we follow these steps:
Factor out the coefficient of x² from the first two terms:
y = 1(x² + 7x) + 3
Take half of the coefficient of x (which is 7 in this case) and square it. Add this value inside the parentheses, and subtract the same value multiplied by the coefficient of x² (which is 1) outside the parentheses to maintain the same value of the expression:
y = 1(x² + 7x + (7/2)² - (7/2)²) + 3
Simplify inside the parentheses by combining the first three terms using the square of the binomial formula (a + b)² = a² + 2ab + b²:
y = 1(x + 7/2)² - 1/4 + 3
Combine the constant terms to simplify:
y = 1(x + 7/2)² + 11/4
Therefore, the quadratic function y = x² + 7x + 3 can be written in vertex form as y = (x + 7/2)² + 11/4. The vertex is located at the point (-7/2, 11/4).
Hope This Helps!